Details

analyze367.0ms (4.6%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.0s (36.9%)

Results

1.4s	2104×	body	1024	valid
1.1s	5094×	body	256	valid
436.0ms	1054×	body	512	valid
5.0ms	4×	body	2048	valid

Bogosity

preprocess18.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	44	22
4	52	22
5	61	22
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 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	44	22
4	52	22
5	61	22

Stop Event

1×

saturated

Counts

1 → 5

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

eval2.0ms (0%)

Compiler: Compiled 73 to 54 computations (26% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

0.3b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.0b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	0.5b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
▶	0.5b	(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
▶	19.0b	(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))

Compiler

Compiled 62 to 50 computations (19.4% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.4b	(/.f64 8/3 (sin.f64 x))
✓	18.8b	(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))

Compiler

Compiled 40 to 28 computations (30% saved)

series6.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-diff_binary64`
501×	`log-prod_binary64`
283×	`pow-prod-down_binary64`
271×	`pow2_binary64`
190×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	220	32
2	2878	32

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 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 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8/3 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -8/3 (-.f64 1 (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 1) (.f64 2 (.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) -8/3) (.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 64/9 (pow.f64 (sin.f64 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))))))
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Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(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 (sin.f64 (*.f64 x 1/2)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)))) (#(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 (sqrt.f64 (exp.f64 (-.f64 1 (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 (sin.f64 (*.f64 x 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(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 exp.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(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 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

762×	`times-frac_binary64`
576×	`associate-/l*_binary64`
381×	`distribute-rgt-in_binary64`
357×	`distribute-lft-in_binary64`
347×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	1695
1	720	1516
2	2479	1354

Stop Event

1×	node limit

Counts

131 → 156

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 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 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 x)))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(+.f64 0 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
(/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 8/3 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(/.f64 (.f64 -8/3 (-.f64 1 (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1) (.f64 2 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) -8/3) (.f64 2 (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)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (.f64 -8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) -1)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(+.f64 0 (/.f64 8/3 (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) -1))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 (cos.f64 x)) 2) (.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 x) 1) 2))
(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 (sin.f64 (*.f64 x 1/2)) 3) 2/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 2))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(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 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 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 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 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 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 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 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 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 x)))))
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 5) 31/5670 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x))))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(.f64 x (.f64 x 1/4))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (.f64 x (.f64 x 1/4)))
(+.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))))
(fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(+.f64 0 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 1)
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 8/3 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 -8/3 (-.f64 1 (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) 2))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1) (.f64 2 (*.f64 (sin.f64 x) 3/8)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) -8/3) (.f64 2 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1) (sin.f64 x))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 -8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1)
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 3)
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) -1)
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 0 (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)
(/.f64 8/3 (sin.f64 x))
(*.f64 8/3 (/.f64 1 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(/.f64 8/3 (sin.f64 x))
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2))
(/.f64 8/3 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(*.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)) 1/2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))
(fabs.f64 (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)
(/.f64 8/3 (sin.f64 x))
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))
(fabs.f64 (/.f64 8/3 (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(/.f64 8/3 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(/.f64 8/3 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) -1))
(/.f64 8/3 (sin.f64 x))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(+.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 (cos.f64 x)) 2) (.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 (pow.f64 (.f64 1/2 (cos.f64 x)) 2) (*.f64 1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (fma.f64 1/4 (cos.f64 x) (pow.f64 (.f64 1/2 (cos.f64 x)) 2))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/4 (.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 x) 1) 2))
(.f64 (/.f64 (-.f64 1/4 (pow.f64 (.f64 1/2 (cos.f64 x)) 2)) (+.f64 1 (cos.f64 x))) 2)
(.f64 2 (/.f64 (-.f64 1/4 (pow.f64 (.f64 1/2 (cos.f64 x)) 2)) (+.f64 1 (cos.f64 x))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 2/3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(exp.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) 1/3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 3))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
✓	0.4b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
✓	0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
418×	`exp-prod_binary64`
290×	`pow-prod-down_binary64`
269×	`pow2_binary64`
198×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	209	40
2	2665	40

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

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

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

522×	`distribute-rgt-in_binary64`
502×	`distribute-lft-in_binary64`
450×	`associate-/r*_binary64`
348×	`log-prod_binary64`
205×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	2567
1	861	2501
2	2824	2501

Stop Event

1×	node limit

Counts

158 → 192

Calls

Call 1

Inputs
(*.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)))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (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 0 (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(-.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 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(sqrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(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)))))
(log1p.f64 (expm1.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))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) 1))
(+.f64 0 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 1)
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(.f64 1 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2) (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 x))))
(.f64 (sqrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (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)) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1)
(pow.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2)
(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(pow.f64 (/.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (sqrt.f64 (log.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(neg.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 x))))
(exp.f64 (-.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) (.f64 (log.f64 (sin.f64 x)) 1)))
(+.f64 0 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (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)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) -8/3)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))) (sqrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(exp.f64 (-.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (*.f64 (log.f64 (sin.f64 x)) 1)))

Outputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 4/3 x))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/1440 (pow.f64 x 5))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/1440 (pow.f64 x 5)))))
(.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)))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(fma.f64 1/6 (*.f64 x x) 4/3)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (.f64 x x) 4/3) (.f64 5/288 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/6 (.f64 x x) 4/3) (fma.f64 5/288 (pow.f64 x 4) (.f64 61/34560 (pow.f64 x 6))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3))))
(.f64 8/3 (/.f64 (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 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 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 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 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 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 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 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 0 (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1/2)
(sqrt.f64 (.f64 64/9 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 32/9 (.f64 (.f64 (cos.f64 x) -1/2) 64/9)))
(pow.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (exp.f64 1) (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(sqrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (.f64 64/9 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 32/9 (.f64 (.f64 (cos.f64 x) -1/2) 64/9)))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) 1))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(+.f64 0 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 1 (.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
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(/.f64 (neg.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1) (sin.f64 x))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 8/3 (cbrt.f64 (sin.f64 x))) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 8/3 (cbrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) -8/3)) (neg.f64 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 2) 1/2)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3) 1/3)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 3)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 2)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))) 2)) (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))) (sqrt.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))) (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))))) (sqrt.f64 (log.f64 (.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x))))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 2))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3)) 1/3))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 3))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.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)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) (log.f64 (/.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)))
(exp.f64 (-.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 -8/3 (/.f64 (+.f64 (.f64 1/2 (cos.f64 x)) -1/2) (sin.f64 x)))

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 28 computations (30% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
1.0ms	x	@	-inf	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
1.0ms	x	@	inf	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
470×	`exp-prod_binary64`
282×	`pow-prod-down_binary64`
279×	`pow2_binary64`
200×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	215	28
2	2931	28

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
429×	`unswap-sqr_binary64`
416×	`associate-/l/_binary64`
392×	`associate-/r/_binary64`
296×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	2551
1	813	2503
2	2539	2423

Stop Event

1×	node limit

Counts

138 → 173

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(+.f64 0 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(.f64 (sin.f64 x) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (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 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.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 (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)))))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(+.f64 0 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(.f64 1 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2) (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (sin.f64 x)) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -2))) (/.f64 8/3 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -2))) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) -2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -2))) (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -2))) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -1/2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) 1) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)
(pow.f64 (.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)) 1/3)
(pow.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) 1))

Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (.f64 -1/4 (.f64 x x))))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (.f64 x x) (.f64 -1/23040 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (.f64 x x) 2)) (.f64 -1/23040 (pow.f64 x 6)))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/23040 (pow.f64 x 6) 2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 0 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 x) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 1)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (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 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (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 (/.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 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.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 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2) 1/2)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) 1/3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) -1)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 1))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
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(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
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(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -1/2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -1/2) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 64/9)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (+.f64 32/9 (.f64 (*.f64 -1/2 (cos.f64 x)) 64/9))) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 64/9)) (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) 1) (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1)
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(pow.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)) 1/2)
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(pow.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 3) 1/3)
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 3)
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(pow.f64 (.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) -1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)) 1/3)
(cbrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 512/27) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3) 512/27)))
(cbrt.f64 (.f64 (/.f64 512/27 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(pow.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) 1) -1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (neg.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 3))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 512/27) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3) 512/27)))
(cbrt.f64 (.f64 (/.f64 512/27 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) 1))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

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

✓

0.4b

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

✓

18.8b

(/.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)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
452×	`exp-prod_binary64`
305×	`pow2_binary64`
296×	`pow-prod-down_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	251	38
2	2994	38

Stop Event

1×	node limit

Counts

3 → 109

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)))) (#(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 (exp.f64 1) (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))))))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-def_binary64`
573×	`times-frac_binary64`
450×	`distribute-rgt-in_binary64`
442×	`distribute-lft-in_binary64`
431×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	2568
1	826	2485
2	2817	2349

Stop Event

1×	node limit

Counts

145 → 208

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 0 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) 1)
(.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))) (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.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)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1)
(.f64 1 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)) (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 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))))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (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 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 8/3 (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 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (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 (pow.f64 (sin.f64 x) -1/2) (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(pow.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3)
(pow.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) 2)) (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))) (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))))
(neg.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(log1p.f64 (expm1.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(exp.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(exp.f64 (.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) 3))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1) 1))
(+.f64 0 (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(-.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 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(pow.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(sqrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 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)))))
(log1p.f64 (expm1.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))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) 1))
(+.f64 0 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1)
(pow.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 1/2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(log1p.f64 (expm1.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) 1))

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 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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))
(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)))
(fma.f64 (pow.f64 x 3) -1/18 (fma.f64 x 4/3 (*.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))))
(fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (fma.f64 x 4/3 (*.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))))
(fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/18 (pow.f64 x 4))))
(+.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)))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (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 0 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) 1)
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(.f64 8/3 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
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(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(log1p.f64 (expm1.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) 1))
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))

eval287.0ms (3.6%)

Compiler: Compiled 13931 to 10207 computations (26.7% saved)

prune146.0ms (1.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	751	18	769
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	755	18	773

Error

Counts

773 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	32.8b	(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
	46.9b	(pow.f64 (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)
▶	19.0b	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
▶	32.7b	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
	32.8b	(/.f64 (+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2))) (sin.f64 x))
	32.7b	(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
	47.2b	(/.f64 (.f64 (.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
	47.4b	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
▶	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
▶	32.7b	(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
	32.7b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
	19.0b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	28.3b	(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6) 1/3))
	47.1b	(.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
▶	28.7b	(*.f64 x 2/3)
	32.7b	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	0.3b	(*.f64 4/3 (tan.f64 (/.f64 x 2)))

Compiler

Compiled 442 to 362 computations (18.1% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 43 to 29 computations (32.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
432×	`exp-prod_binary64`
277×	`pow-prod-down_binary64`
277×	`pow2_binary64`
194×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	214	34
2	2801	34

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-/l*_binary64`
528×	`associate-/r*_binary64`
442×	`fma-def_binary64`
337×	`associate-/r/_binary64`
337×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	2330
1	649	2257
2	1971	2253

Stop Event

1×	node limit

Counts

116 → 160

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(+.f64 0 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(.f64 1 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -2)) (cbrt.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1/2) (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3/8) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 3/8) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 3/8))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 3/8))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) -2) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2)) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) -1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (sin.f64 x))) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(pow.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1/2) 2)
(pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))) (sqrt.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(sqrt.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (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 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -3)) 1/3))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2)) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1) 1))
(+.f64 0 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1)
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (sin.f64 x))))
(/.f64 (.f64 3/8 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 3/8 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 3/8 (sin.f64 x)) 1) (sin.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) 3/8) (neg.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 3/8 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (sin.f64 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(sqrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1) 1))

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 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(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)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (.f64 -3/32 (.f64 x x)))
(fma.f64 -3/32 (*.f64 x x) 3/4)
(fma.f64 x (*.f64 x -3/32) 3/4)
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (.f64 -3/32 (.f64 x x))))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 x (*.f64 x -3/32) 3/4))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (.f64 -3/32 (.f64 x x)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4)))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 x (*.f64 x -3/32) 3/4)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(+.f64 0 (/.f64 1 (/.f64 (.f64 3/8 (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 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (.f64 3/8 (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) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 (.f64 3/8 (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) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 1 (/.f64 1 (/.f64 (.f64 3/8 (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 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3/8) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2)))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -2)) (cbrt.f64 (/.f64 1 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1/2) (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
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(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (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) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -3)) 1/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 3))
(exp.f64 (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))
(exp.f64 (.f64 -3 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) -3)
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 3/8 (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) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1) 1))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 0 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (sin.f64 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 3/8 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (.f64 3/8 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 3/8 (sin.f64 x)) 1) (sin.f64 (.f64 x 1/2)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8)))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 3/8 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) 3/8) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 3/8 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) 1/2)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) 1/3)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (sin.f64 x))) -1)
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) 2)) (cbrt.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (sqrt.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))))
(sqrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(log.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(cbrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(expm1.f64 (log1p.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(log1p.f64 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(exp.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 1))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1/3))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 3))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) 2))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1) 1))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite34.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x 2/3)

Outputs

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

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

459×	`times-frac_binary64`
381×	`distribute-rgt-out_binary64`
367×	`associate-*l/_binary64`
333×	`associate-/l*_binary64`
326×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	244
1	189	235
2	573	231
3	3001	231

Stop Event

1×	node limit

Counts

37 → 33

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
✓	0.2b	(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
✓	2.1b	(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))

Compiler

Compiled 39 to 24 computations (38.5% saved)

series5.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
305×	`pow2_binary64`
284×	`pow-prod-down_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	245	34
2	3162	34

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64`
351×	`log-prod_binary64`
192×	`associate-/r/_binary64`
184×	`cube-prod_binary64`
172×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	2310
1	818	2186
2	2922	2170

Stop Event

1×	node limit

Counts

156 → 188

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 4 x)
(+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x))))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (+.f64 (.f64 -1/7560 (pow.f64 x 5)) (.f64 4 (/.f64 1 x)))))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(*.f64 1 (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 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (/.f64 1 (fma.f64 (.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) -1/2) 1/4)))
(.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) -1/2) 1/4) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (fma.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/4 (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)) (neg.f64 (fma.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) -1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (neg.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 1/4 -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2))
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) -1/2) 1/4) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)) -1)
(pow.f64 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 2))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(fma.f64 (*.f64 -1/2 (cos.f64 x)) 1 1/2)
(fma.f64 1 (*.f64 -1/2 (cos.f64 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) -1/2) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (.f64 -1/2 (cos.f64 x))) 2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (cos.f64 x))) 2) (cbrt.f64 (.f64 -1/2 (cos.f64 x))) 1/2)
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) -1/2) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (.f64 -1/2 (cos.f64 x))) 1/2)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1/2)
(fma.f64 (*.f64 -1/2 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1/2)
(+.f64 0 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(*.f64 1 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -2) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(.f64 (/.f64 (sin.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)) (fma.f64 (.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) -1/2) 1/4))
(.f64 (/.f64 (sin.f64 x) (-.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) -1))
(+.f64 0 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))
(+.f64 (.f64 1/2 (/.f64 8/3 (sin.f64 x))) (.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) (*.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(+.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 1/2) (.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (.f64 -1/2 (cos.f64 x))) (*.f64 (/.f64 8/3 (sin.f64 x)) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 1 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 -8/3 (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 1) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) -1)
(pow.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) 1) -1)
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.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) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)) -1))
(fma.f64 1/2 (/.f64 8/3 (sin.f64 x)) (.f64 (.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 (.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x)) (.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(fma.f64 (/.f64 8/3 (sin.f64 x)) 1/2 (.f64 (/.f64 8/3 (sin.f64 x)) (.f64 -1/2 (cos.f64 x))))
(fma.f64 (/.f64 8/3 (sin.f64 x)) (.f64 -1/2 (cos.f64 x)) (.f64 (/.f64 8/3 (sin.f64 x)) 1/2))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(/.f64 4 x)
(+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x)))
(fma.f64 -1/3 x (/.f64 4 x))
(fma.f64 x -1/3 (/.f64 4 x))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x))))
(fma.f64 -1/180 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 4 x)))
(fma.f64 -1/180 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 4 x)))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (+.f64 (.f64 -1/7560 (pow.f64 x 5)) (.f64 4 (/.f64 1 x)))))
(fma.f64 -1/180 (pow.f64 x 3) (fma.f64 -1/3 x (fma.f64 -1/7560 (pow.f64 x 5) (/.f64 4 x))))
(fma.f64 -1/180 (pow.f64 x 3) (fma.f64 x -1/3 (fma.f64 -1/7560 (pow.f64 x 5) (/.f64 4 x))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(+.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 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
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(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 3)
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 2)
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) -1)
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3)
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1) -1)
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 1/3))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 3))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) 2))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) -1))
(/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))
(+.f64 0 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(+.f64 (.f64 1/2 (/.f64 8/3 (sin.f64 x))) (.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) (*.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(+.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 1/2) (.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(+.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (.f64 -1/2 (cos.f64 x))) (*.f64 (/.f64 8/3 (sin.f64 x)) 1/2))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 1 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 -8/3 (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) 1) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) 1/2)
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 2)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) -1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) 1) -1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))) 3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))) 1))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 1/3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))) 2))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)) -1))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(fma.f64 1/2 (/.f64 8/3 (sin.f64 x)) (.f64 (.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(fma.f64 (.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x)) (.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(fma.f64 (/.f64 8/3 (sin.f64 x)) 1/2 (.f64 (/.f64 8/3 (sin.f64 x)) (.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(fma.f64 (/.f64 8/3 (sin.f64 x)) (.f64 -1/2 (cos.f64 x)) (.f64 (/.f64 8/3 (sin.f64 x)) 1/2))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) 3/8)
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
✓	2.1b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
1.0ms	x	@	inf	(-.f64 1 (cos.f64 x))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
0.0ms	x	@	-inf	(*.f64 (sin.f64 x) 3/8)
0.0ms	x	@	0	(-.f64 1 (cos.f64 x))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
292×	`pow2_binary64`
287×	`pow-prod-down_binary64`
274×	`prod-diff_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	236	26
2	3117	21

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

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

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

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

254×	`div-sub_binary64`
235×	`associate-/r*_binary64`
218×	`log-prod_binary64`
211×	`times-frac_binary64`
190×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	4688
1	1444	3412
2	5451	2502

Stop Event

1×	node limit

Counts

208 → 255

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 3/8 x)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(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))))
(log1p.f64 (expm1.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))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)))) (sqrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sin.f64 x) 3/8)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))))
(+.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sin.f64 x) 3/8))) (/.f64 (sqrt.f64 (cos.f64 x)) 2) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))))
(+.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(+.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))))
(+.f64 (fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 1 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 1 (.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 1 (.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)) 1)))
(+.f64 (fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (cos.f64 x) (.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (cos.f64 x) (.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (cos.f64 x) (.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (cos.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))) 2))))
(+.f64 (fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/8)) 1/2))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/8))) 1/2 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/8)) 1/2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/8)) 1/2))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/8))) 1/2 (.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/8)) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/8)) 1/2))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/8))) 1/2 (.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/8)) 1/2)))
(+.f64 (fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (.f64 (/.f64 (cos.f64 x) 3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) 3/4)) (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 3/4) (/.f64 1 (sin.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (cos.f64 x) 3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) 3/4)) (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) 3/4) (/.f64 1 (sin.f64 x)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (.f64 (sin.f64 x) 3/4))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(-.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
(*.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (sin.f64 x) -3/4)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 8/3 (tan.f64 (/.f64 x 2))) 1/2)
(.f64 1/2 (.f64 8/3 (tan.f64 (/.f64 x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 3/4)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 3/4)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 3/8)) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (sin.f64 x) 3/8)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))
(.f64 (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 (pow.f64 (cbrt.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)) 3/4)))
(.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 (pow.f64 (.f64 (sin.f64 x) 3/4) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (/.f64 (pow.f64 (cbrt.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))))
(pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 3)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
(pow.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) -1))
(fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) 2))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 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 3/8 x)
(*.f64 x 3/8)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))
(fma.f64 (pow.f64 x 3) -1/16 (*.f64 x 3/8))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8)))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (*.f64 x 3/8)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 x 3/8))))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/8 (*.f64 (pow.f64 x 7) -1/13440))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
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(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 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 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2))
(.f64 (pow.f64 (.f64 (sin.f64 x) 3/4) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (/.f64 (pow.f64 (cbrt.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 (-.f64 1 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (sqrt.f64 (.f64 (sin.f64 x) 3/4)))
(pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2) 1/2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 (sin.f64 x) 3/8)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 (sin.f64 x) 3/8)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) 1))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) 2))
(*.f64 (sin.f64 x) 3/8)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	0.4b	(/.f64 (sin.f64 x) 8/3)
✓	18.9b	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
410×	`exp-prod_binary64`
282×	`pow2_binary64`
252×	`pow-prod-down_binary64`
200×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	239	32
2	2864	32

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)) (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (/.f64 8/3 (sin.f64 x)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (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))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (/.f64 8/3 (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))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (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))) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.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))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)))) (#(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 (sin.f64 (*.f64 x 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(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 exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(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 exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))))))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-/l*_binary64`
582×	`fma-def_binary64`
492×	`associate-/r*_binary64`
223×	`distribute-rgt-in_binary64`
210×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	2145
1	784	1981
2	2300	1953

Stop Event

1×	node limit

Counts

154 → 186

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 3/8 x)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(+.f64 0 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 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 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (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 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 1 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)) (cbrt.f64 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(.f64 (neg.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (sin.f64 x) 3/8)))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 3/8))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) -2) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 1) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))) -8/3)
(pow.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (/.f64 8/3 (sin.f64 x)) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (sqrt.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))
(neg.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 (sin.f64 x) -3/8)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (/.f64 8/3 (sin.f64 x)) -3)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1) 1))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 (sin.f64 x) 3/8)
(.f64 (.f64 (sin.f64 x) 3/8) 1)
(.f64 1 (.f64 (sin.f64 x) 3/8))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) 3/8))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) 3/8))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (neg.f64 (sin.f64 x)) -3/8)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) -3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(pow.f64 (/.f64 8/3 (sin.f64 x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sin.f64 x) 3/8)))
(pow.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8))))
(neg.f64 (/.f64 (sin.f64 x) -8/3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))
(log.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) -3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1) 1))
(+.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 1)
(.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 x)) 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)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))) 1) 1))

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 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 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 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 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 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 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 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 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 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 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 3/8 x)
(*.f64 x 3/8)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))
(fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8)))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16)))
(fma.f64 x 3/8 (fma.f64 (pow.f64 x 3) -1/16 (*.f64 (pow.f64 x 5) 1/320)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 x 3/8))))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/8 (*.f64 (pow.f64 x 7) -1/13440))))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 x 3/8 (fma.f64 (pow.f64 x 3) -1/16 (*.f64 (pow.f64 x 7) -1/13440))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(.f64 x (.f64 x 1/4))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (.f64 x (.f64 x 1/4)))
(+.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))))
(fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/4) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 x (.f64 x 1/4) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(+.f64 0 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
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(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(*.f64 (sin.f64 x) 3/8)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 (sin.f64 x) 3/8)
(*.f64 (sin.f64 x) 3/8)
(.f64 (.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(.f64 1 (.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) 3/8))
(*.f64 (sin.f64 x) 3/8)
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))
(*.f64 (sin.f64 x) 3/8)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) 3/8))
(*.f64 (sin.f64 x) 3/8)
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(*.f64 (neg.f64 (sin.f64 x)) -3/8)
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2) 1/2)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) -3))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (/.f64 8/3 (sin.f64 x)) -1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) 1) -1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) 3/8))))
(neg.f64 (/.f64 (sin.f64 x) -8/3))
(*.f64 (sin.f64 x) 3/8)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) -3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) 1))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) 2))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) -1))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1) 1))
(*.f64 (sin.f64 x) 3/8)
(+.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 x)) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 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 (.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) 1/3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))) 1) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

eval353.0ms (4.4%)

Compiler: Compiled 17687 to 12436 computations (29.7% saved)

prune174.0ms (2.2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	873	13	886
Fresh	10	3	13
Picked	1	0	1
Done	2	2	4
Total	886	18	904

Error

Counts

904 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/8) 2)
	60.6b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x 2/3)) (+.f64 1 (.f64 x 2/3))) 1) (+.f64 (+.f64 1 (.f64 x 2/3)) 1))
	32.9b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
	26.2b	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
✓	32.7b	(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
▶	28.7b	(/.f64 8/3 (/.f64 4 x))
	28.5b	(/.f64 8/3 (+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x))))
▶	40.6b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
	19.0b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	32.7b	(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (-.f64 1 (cos.f64 x)))
✓	28.7b	(*.f64 x 2/3)
	32.7b	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
▶	0.3b	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶	32.7b	(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
	0.8b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
	46.3b	(fabs.f64 (*.f64 x 2/3))
	8.7b	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))

Compiler

Compiled 350 to 295 computations (15.7% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (tan.f64 (/.f64 x 2)) 3/8)

Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	159	9
2	1869	9

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

573×	`log-prod_binary64`
506×	`fma-def_binary64`
461×	`associate-l_binary64`
422×	`associate-r_binary64`
332×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	539
1	180	470
2	537	401
3	3381	401

Stop Event

1×	node limit

Counts

35 → 39

Calls

Call 1

Inputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 8/3)
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 8/3))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 8/3))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -8/3)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3) 1)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 3)
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 2)
(pow.f64 (/.f64 3/8 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/8))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 64/9))
(log.f64 (exp.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3) 3))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))

Outputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x)))
(fma.f64 4/3 x (fma.f64 1/90 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 17/15120 (pow.f64 x 7) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (+.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 1)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 8/3)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 8/3))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 8/3))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -8/3)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3) 1)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3) 3) 1/3)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 3)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)) 2)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 3/8 (tan.f64 (*.f64 x 1/2))) -1)
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/8))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 64/9))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (exp.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3) 3))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) -1)
(+.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 8/3 (tan.f64 (.f64 x 1/2)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 8/3 (/.f64 4 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite38.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`pow1_binary64`
599×	`add-log-exp_binary64`
599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	139	4
2	1665	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

378×	`associate-+l+_binary64`
354×	`distribute-rgt-in_binary64`
343×	`associate-+r+_binary64`
339×	`fma-def_binary64`
333×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	148
1	146	148
2	487	148
3	1869	148

Stop Event

1×	node limit

Counts

37 → 25

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite38.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`pow1_binary64`
634×	`add-log-exp_binary64`
634×	`log1p-expm1-u_binary64`
634×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	1718	9

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
509×	`log-prod_binary64`
356×	`fma-def_binary64`
319×	`distribute-rgt-in_binary64`
314×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	393
1	148	360
2	406	327
3	1907	327
4	5007	327
5	7470	327

Stop Event

1×	node limit

Counts

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
381×	`exp-prod_binary64`
259×	`prod-diff_binary64`
249×	`pow2_binary64`
244×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	192	15
2	2603	15

Stop Event

1×	node limit

Counts

2 → 132

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

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64`
396×	`distribute-rgt-in_binary64`
382×	`distribute-lft-in_binary64`
209×	`log-prod_binary64`
156×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	2553
1	1108	2344
2	3529	1688

Stop Event

1×	node limit

Counts

156 → 176

Calls

Call 1

Inputs
(*.f64 -2/3 x)
(+.f64 (.f64 -2/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 -1/180 (pow.f64 x 5)) (+.f64 (.f64 -2/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 -17/30240 (pow.f64 x 7)) (+.f64 (.f64 -1/180 (pow.f64 x 5)) (+.f64 (.f64 -2/3 x) (.f64 -1/18 (pow.f64 x 3)))))
(*.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 -3/4 x) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 -3/4 x) (+.f64 (.f64 -1/160 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/6720 (pow.f64 x 7)) (+.f64 (.f64 -3/4 x) (+.f64 (.f64 -1/160 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(*.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 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (sqrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(+.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) -3/4)) (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(+.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) -3/4) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(+.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) -3/4)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) -3/4))) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(+.f64 0 (*.f64 (tan.f64 (/.f64 x 2)) -4/3))
(+.f64 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 1 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 1 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 1 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 -4/3 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 -4/3 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 -4/3 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2))))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) -3/4)) (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) -3/4)) (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) -3/4)) (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x)))))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) -4/3 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) -4/3 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) -4/3 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3)))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4)) -2))))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4)))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4)))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4)))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) -3/4))) (pow.f64 (.f64 (sin.f64 x) -3/4) -1/2))))
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(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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) -3/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3)))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 -3/4 (tan.f64 (/.f64 x 2)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3)) 1) 1))
(exp.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) (log.f64 (.f64 (sin.f64 x) -3/4))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 (log.f64 (.f64 (sin.f64 x) -3/4)) 1)))
(exp.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) (.f64 (log.f64 (*.f64 (sin.f64 x) -3/4)) 1)))
(fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(+.f64 0 (*.f64 (sin.f64 x) -3/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) -3/4))) 1)
(pow.f64 (*.f64 (sin.f64 x) -3/4) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (sin.f64 x) -3/4)))
(pow.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) -3/4) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/4)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) -3/4)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4)))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4))))
(sqrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 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)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) -3/4)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) -3/4)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) -3/4)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) -3/4))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) -3/4))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) -3/4)) 1) 1))

Outputs
(*.f64 -2/3 x)
(+.f64 (.f64 -2/3 x) (.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -2/3 x (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 -2/3 x))
(+.f64 (.f64 -1/180 (pow.f64 x 5)) (+.f64 (.f64 -2/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 -1/180 (pow.f64 x 5) (fma.f64 -2/3 x (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 -1/180 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 -2/3 x)))
(+.f64 (.f64 -17/30240 (pow.f64 x 7)) (+.f64 (.f64 -1/180 (pow.f64 x 5)) (+.f64 (.f64 -2/3 x) (.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 -17/30240 (pow.f64 x 7) (fma.f64 -1/180 (pow.f64 x 5) (fma.f64 -2/3 x (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 -17/30240 (pow.f64 x 7) (fma.f64 -1/180 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.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 -3/4 x) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 -3/4 x (*.f64 (pow.f64 x 3) 1/8))
(fma.f64 x -3/4 (*.f64 (pow.f64 x 3) 1/8))
(+.f64 (.f64 -3/4 x) (+.f64 (.f64 -1/160 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 -3/4 x (fma.f64 -1/160 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8)))
(fma.f64 x -3/4 (fma.f64 (pow.f64 x 5) -1/160 (*.f64 (pow.f64 x 3) 1/8)))
(+.f64 (.f64 1/6720 (pow.f64 x 7)) (+.f64 (.f64 -3/4 x) (+.f64 (.f64 -1/160 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/6720 (pow.f64 x 7) (fma.f64 -3/4 x (fma.f64 -1/160 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8))))
(fma.f64 (pow.f64 x 7) 1/6720 (fma.f64 x -3/4 (fma.f64 (pow.f64 x 5) -1/160 (*.f64 (pow.f64 x 3) 1/8))))
(*.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 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (sqrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) -3/4)) (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) -3/4) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) -3/4)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) -3/4))) (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 0 (*.f64 (tan.f64 (/.f64 x 2)) -4/3))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 1 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1)))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 1 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1)))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 1 (.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)) 1)))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 -4/3 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x))))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 -4/3 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x))))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 -4/3 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x))))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))) 2))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) -3/4)) (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x)))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) -3/4)) (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x)))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) -3/4)) (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) -3/4) (/.f64 1 (sin.f64 x)))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 (fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) -4/3 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3)))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) -4/3 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3)))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) -4/3 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3)))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
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(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3)) 1))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3) 3)) 1/3))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3))) 3))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3))) 2))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 -3/4 (tan.f64 (/.f64 x 2)))) -1))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3)) 1) 1))
(*.f64 -4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) (log.f64 (.f64 (sin.f64 x) -3/4))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 (log.f64 (.f64 (sin.f64 x) -3/4)) 1)))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(exp.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) (.f64 (log.f64 (*.f64 (sin.f64 x) -3/4)) 1)))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(fma.f64 1 (/.f64 -4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(fma.f64 (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (sqrt.f64 (/.f64 -4/3 (sin.f64 x))) (neg.f64 (/.f64 (/.f64 (cos.f64 x) -3/4) (sin.f64 x))))
(-.f64 (/.f64 -4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) -3/4)
(+.f64 0 (*.f64 (sin.f64 x) -3/4))
(*.f64 (sin.f64 x) -3/4)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))))
(*.f64 (sin.f64 x) -3/4)
(-.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 (E.f64) (log.f64 (*.f64 (sin.f64 x) -3/4)))
(*.f64 (sin.f64 x) -3/4)
(pow.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)) 1/2)
(sqrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) -3/4) 2))
(fabs.f64 (*.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)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/4)) 3)
(*.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 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4)))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) -3/4))))
(sqrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) -3/4) 2))
(fabs.f64 (*.f64 (sin.f64 x) -3/4))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) -3/4))
(*.f64 (sin.f64 x) -3/4)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) -3/4))))
(*.f64 (sin.f64 x) -3/4)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) -3/4) 3))
(*.f64 (sin.f64 x) -3/4)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) -3/4)))
(*.f64 (sin.f64 x) -3/4)
(log1p.f64 (expm1.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)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) -3/4)) 1))
(*.f64 (sin.f64 x) -3/4)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) -3/4))) 1/3))
(*.f64 (sin.f64 x) -3/4)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/4))) 3))
(*.f64 (sin.f64 x) -3/4)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) -3/4))) 2))
(*.f64 (sin.f64 x) -3/4)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) -3/4)) 1) 1))
(*.f64 (sin.f64 x) -3/4)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
✓	0.1b	(log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
✓	0.1b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
✓	3.4b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)

Compiler

Compiled 43 to 36 computations (16.3% saved)

series55.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
14.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
4.0ms	x	@	inf	(exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
2.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
0.0ms	x	@	0	(log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`unpow-prod-down_binary64`
413×	`log-prod_binary64`
314×	`exp-prod_binary64`
251×	`pow2_binary64`
235×	`pow-prod-down_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	241	41
2	2684	39

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (sqrt.f64 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (pow.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3) 1))))) (#(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 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (.f64 (sqrt.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 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (tan.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (/.f64 1 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) 1/3) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9) (tan.f64 (.f64 x 1/2))) 1/3) (cbrt.f64 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) 3) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) -1) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) -1) (/.f64 1 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (.f64 x 1/2)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule 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(tan.f64 (.f64 x 1/2)) 4/3)) 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) 1) (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (/.f64 1 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) 2) (cbrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) (sqrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 1) 1)))))

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

397×	`sqr-pow_binary64`
395×	`cancel-sign-sub-inv_binary64`
340×	`log-prod_binary64`
258×	`times-frac_binary64`
236×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	6251
1	1129	5650
2	3526	5628

Stop Event

1×	node limit

Counts

318 → 315

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 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 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 -2/9 (pow.f64 x 2)))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (*.f64 25/162 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (+.f64 (.f64 25/162 (pow.f64 x 3)) (.f64 -7/81 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) 1))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 1 (*.f64 1/180 (pow.f64 x 5)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) -1)
(+.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(+.f64 -1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 4/3) 3))
(.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (sqrt.f64 4/3) 2))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (pow.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3) 1))
(.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 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (.f64 (sqrt.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 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)
(.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1))))
(.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1))) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1))
(.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (/.f64 1 (+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1)))
(.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1)) 1))
(.f64 (+.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 1))
(.f64 (pow.f64 1 1/3) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 1) 1))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) 1/3) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 64/27)) 1/3))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9) (tan.f64 (*.f64 x 1/2))) 1/3) (cbrt.f64 4/3))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) 3) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) -1) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(.f64 (pow.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) -1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) (+.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)
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(pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(pow.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (sqrt.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))
(log.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(exp.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 1) 1))
(+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(+.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(+.f64 0 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))
(+.f64 (+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)))))
(-.f64 (+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1) 1)
(.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)
(.f64 1 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))
(.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2)) (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2)) (.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2)) (pow.f64 (.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) 1))
(.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1))
(.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) 1))
(.f64 (pow.f64 1 1/3) (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))
(.f64 (pow.f64 1 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))) 2) 3) (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (pow.f64 (E.f64) (.f64 1/2 (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2)))) (pow.f64 (E.f64) (.f64 1/3 (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) (+.f64 1 (-.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9)) (-.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (E.f64))
(pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1)
(pow.f64 (E.f64) (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(pow.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 2)
(pow.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 3) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) 1) (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) 1) (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 2))
(log.f64 (exp.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))))
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(log1p.f64 (expm1.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)
(fma.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1 1)
(fma.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(fma.f64 1 (+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3) 1)
(fma.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) 1)
(fma.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)) 1)
(fma.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3) 1)
(fma.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1)
(fma.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1))) 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (/.f64 1 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) 1)
(fma.f64 (+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) 2) (cbrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) (sqrt.f64 (+.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)) -1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) 1)

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

eval271.0ms (3.4%)

Compiler: Compiled 12497 to 9722 computations (22.2% saved)

prune125.0ms (1.6%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	640	7	647
Fresh	5	6	11
Picked	1	0	1
Done	2	4	6
Total	648	17	665

Error

Counts

665 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.6b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x 2/3)) (+.f64 1 (.f64 x 2/3))) 1) (+.f64 (+.f64 1 (.f64 x 2/3)) 1))
	32.9b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
	0.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
▶	0.1b	(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
✓	28.7b	(/.f64 8/3 (/.f64 4 x))
	28.5b	(/.f64 8/3 (+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x))))
	0.3b	(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
▶	32.1b	(-.f64 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1) 1)
▶	61.1b	(-.f64 1 1)
▶	32.7b	(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (-.f64 1 (cos.f64 x)))
✓	28.7b	(*.f64 x 2/3)
	32.7b	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓	0.3b	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
	28.7b	(*.f64 -8/3 (/.f64 1 (/.f64 -4 x)))
✓	32.7b	(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
	46.3b	(fabs.f64 (*.f64 x 2/3))

Compiler

Compiled 296 to 251 computations (15.2% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
639×	`add-log-exp_binary64`
639×	`log1p-expm1-u_binary64`
639×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	1723	9

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

573×	`log-prod_binary64`
510×	`fma-def_binary64`
468×	`associate-l_binary64`
418×	`associate-r_binary64`
332×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	539
1	187	470
2	550	401
3	3435	401

Stop Event

1×	node limit

Counts

35 → 40

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

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

localize2.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 1 (.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3)))
	0.3b	(*.f64 x 2/3)
✓	3.2b	(-.f64 (.f64 (+.f64 1 (.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1)
✓	13.6b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x 2/3)) (+.f64 1 (.f64 x 2/3))) 1) (+.f64 (+.f64 1 (.f64 x 2/3)) 1))

Compiler

Compiled 64 to 53 computations (17.2% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`fma-def_binary64`
501×	`log-prod_binary64`
318×	`fma-neg_binary64`
261×	`pow2_binary64`
180×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	237	23
2	3633	23

Stop Event

1×	node limit

Counts

3 → 284

Calls

Call 1

Inputs

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

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

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

Outputs

((#(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 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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) 2) (fma.f64 x 2/3 2)) (/.f64 1 (fma.f64 x 2/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) 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simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

593×	`unswap-sqr_binary64`
380×	`cancel-sign-sub-inv_binary64`
252×	`fma-neg_binary64`
226×	`associate-l_binary64`
215×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	6252
1	1228	4948
2	4196	4889

Stop Event

1×	node limit

Counts

320 → 442

Calls

Call 1

Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 4/3 x)
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(*.f64 4/9 (pow.f64 x 2))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(*.f64 4/9 (pow.f64 x 2))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
1
(+.f64 1 (*.f64 4/3 x))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(*.f64 4/9 (pow.f64 x 2))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(*.f64 4/9 (pow.f64 x 2))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 1 (fma.f64 x 2/3 -1))
(+.f64 (fma.f64 x 2/3 1) -1)
(+.f64 0 (*.f64 x 2/3))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(+.f64 (*.f64 x 2/3) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(-.f64 (fma.f64 x 2/3 1) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(.f64 1 (.f64 x 2/3))
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (fma.f64 x 2/3 2)))
(.f64 (fma.f64 x 2/3 2) (/.f64 (.f64 x 2/3) (fma.f64 x 2/3 2)))
(.f64 (fma.f64 x 2/3 2) (.f64 (*.f64 x 2/3) (/.f64 1 (fma.f64 x 2/3 2))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (/.f64 1 (fma.f64 x 2/3 2))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 4/9)) (cbrt.f64 (.f64 x 2/3)))
(.f64 (cbrt.f64 (fma.f64 x 2/3 2)) (/.f64 (.f64 x 2/3) (cbrt.f64 (fma.f64 x 2/3 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2/3))
(.f64 (cbrt.f64 (.f64 x 2/3)) (cbrt.f64 (.f64 (.f64 x x) 4/9)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (/.f64 1 (fma.f64 x 2/3 2))))
(.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(.f64 (sqrt.f64 (fma.f64 x 2/3 2)) (/.f64 (.f64 x 2/3) (sqrt.f64 (fma.f64 x 2/3 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2/3))
(.f64 (.f64 (fma.f64 x 2/3 2) (neg.f64 (*.f64 x 2/3))) (/.f64 1 (neg.f64 (fma.f64 x 2/3 2))))
(*.f64 (/.f64 1 (fma.f64 x 2/3 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))
(.f64 (.f64 x 2/3) 1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (cbrt.f64 (fma.f64 x 2/3 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (cbrt.f64 (.f64 x 2/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (sqrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (sqrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 x 2/3 1) 3))) (-.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) (fma.f64 x 2/3 1)))
(.f64 (.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (.f64 (.f64 x x) 4/9) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(pow.f64 (/.f64 1 (*.f64 x 2/3)) -1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 3) (pow.f64 (fma.f64 x 2/3 2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (*.f64 x 2/3)) 1) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (neg.f64 (fma.f64 x 2/3 2))))
(sqrt.f64 (.f64 (.f64 x x) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 3) (pow.f64 (fma.f64 x 2/3 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(expm1.f64 (.f64 (log1p.f64 (.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 2/3)) 1))
(fma.f64 1 (fma.f64 x 2/3 1) -1)
(fma.f64 1 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 1 (*.f64 x 2/3) 0)
(fma.f64 x 2/3 0)
(fma.f64 2/3 x 0)
(fma.f64 (fma.f64 x 2/3 1) 1 -1)
(fma.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (/.f64 1 (fma.f64 x 2/3 2)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (fma.f64 x 2/3 2)) 0)
(fma.f64 (fma.f64 x 2/3 2) (/.f64 (*.f64 x 2/3) (fma.f64 x 2/3 2)) 0)
(fma.f64 (fma.f64 x 2/3 2) (.f64 (.f64 x 2/3) (/.f64 1 (fma.f64 x 2/3 2))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (/.f64 1 (fma.f64 x 2/3 2))) 0)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 4/9)) (cbrt.f64 (*.f64 x 2/3)) 0)
(fma.f64 (cbrt.f64 (fma.f64 x 2/3 2)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (fma.f64 x 2/3 2))) 0)
(fma.f64 (cbrt.f64 (fma.f64 x 2/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3) 0)
(fma.f64 (cbrt.f64 (.f64 x 2/3)) (cbrt.f64 (.f64 (*.f64 x x) 4/9)) 0)
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (/.f64 1 (fma.f64 x 2/3 2))) 0)
(fma.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (.f64 x 2/3)) 0)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 2)) (/.f64 (*.f64 x 2/3) (sqrt.f64 (fma.f64 x 2/3 2))) 0)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3) 0)
(fma.f64 (.f64 (fma.f64 x 2/3 2) (neg.f64 (.f64 x 2/3))) (/.f64 1 (neg.f64 (fma.f64 x 2/3 2))) 0)
(fma.f64 (/.f64 1 (fma.f64 x 2/3 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 0)
(fma.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (/.f64 1 (fma.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1) 1)) -1)
(fma.f64 (*.f64 x 2/3) 1 0)
(fma.f64 (-.f64 1 (.f64 (.f64 x x) 4/9)) (/.f64 1 (+.f64 1 (*.f64 -2/3 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) 2) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2)) -1)
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (cbrt.f64 (fma.f64 x 2/3 2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (cbrt.f64 (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (cbrt.f64 (*.f64 x 2/3)) 0)
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (fma.f64 x 2/3 2))) 0)
(fma.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (sqrt.f64 (fma.f64 x 2/3 2))) 0)
(fma.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (sqrt.f64 (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (sqrt.f64 (fma.f64 x 2/3 2))) 0)
(fma.f64 (/.f64 (fma.f64 x 2/3 1) 1) (/.f64 (fma.f64 x 2/3 1) (fma.f64 x 2/3 2)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (fma.f64 x 2/3 2)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (fma.f64 x 2/3 1) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (fma.f64 x 2/3 1) (cbrt.f64 (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (fma.f64 x 2/3 1) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (fma.f64 x 2/3 1) (sqrt.f64 (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (sqrt.f64 (fma.f64 x 2/3 2))) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) 0)
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 x 2/3 1) 3))) (-.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) (fma.f64 x 2/3 1)) 0)
(fma.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (*.f64 x 2/3) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 1 (pow.f64 (fma.f64 x 2/3 1) 3))) (-.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) (fma.f64 x 2/3 1)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(fma.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)
(fma.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x) 0)
(+.f64 (fma.f64 x 2/3 1) (fma.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)) -1))
(+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)
(+.f64 0 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))
(+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2/3 2)) (.f64 x 2/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2/3 2)) (.f64 x 2/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2/3 2)) (.f64 x 2/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 2/3 2)) (.f64 x 2/3)))))
(*.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 1)
(.f64 (fma.f64 x 2/3 2) (.f64 x 2/3))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2)) (.f64 (cbrt.f64 (fma.f64 x 2/3 2)) (*.f64 x 2/3)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))
(.f64 (sqrt.f64 (fma.f64 x 2/3 2)) (.f64 (sqrt.f64 (fma.f64 x 2/3 2)) (*.f64 x 2/3)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 6) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 4) (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 4) -1) (/.f64 1 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2)))
(.f64 (.f64 x 2/3) (fma.f64 x 2/3 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 4) (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 6) -1)))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 4) -1)))
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(fma.f64 (hypot.f64 (sqrt.f64 (.f64 x 2/3)) (.f64 x 2/3)) (hypot.f64 (sqrt.f64 (.f64 x 2/3)) (.f64 x 2/3)) (fma.f64 x 2/3 1))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2)) (.f64 x (.f64 2/3 (fma.f64 x 2/3 1))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2)) (.f64 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))) 1))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (cbrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (cbrt.f64 (.f64 x 2/3)) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (sqrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (sqrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (.f64 x 2/3))) (.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (.f64 x 2/3))) (fma.f64 x 2/3 1))
(fma.f64 (.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (fma.f64 x 2/3 1))) (.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (fma.f64 x 2/3 1))) (fma.f64 x 2/3 1))
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 x 2/3 1) 3))) (-.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) (fma.f64 x 2/3 1)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (*.f64 (fma.f64 x 2/3 1) x) 2/3 (fma.f64 x 2/3 1))
(fma.f64 (*.f64 (fma.f64 x 2/3 1) 2/3) x (fma.f64 x 2/3 1))
(fma.f64 (.f64 (fma.f64 x 2/3 1) (cbrt.f64 (.f64 (.f64 x x) 4/9))) (cbrt.f64 (.f64 x 2/3)) (fma.f64 x 2/3 1))
(fma.f64 (.f64 (fma.f64 x 2/3 1) (sqrt.f64 (.f64 x 2/3))) (sqrt.f64 (*.f64 x 2/3)) (fma.f64 x 2/3 1))
(fma.f64 (.f64 (.f64 x 2/3) (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2)) (cbrt.f64 (fma.f64 x 2/3 1)) (fma.f64 x 2/3 1))
(fma.f64 (.f64 (.f64 x 2/3) (sqrt.f64 (fma.f64 x 2/3 1))) (sqrt.f64 (fma.f64 x 2/3 1)) (fma.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)
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(.f64 4/9 (.f64 x x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(.f64 4/9 (.f64 x x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
1
(+.f64 1 (*.f64 4/3 x))
(+.f64 (*.f64 x 4/3) 1)
(fma.f64 x 4/3 1)
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 (fma.f64 4/9 (.f64 x x) (.f64 x 4/3)) 1)
(+.f64 (.f64 x (+.f64 4/3 (.f64 x 4/9))) 1)
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 (fma.f64 4/9 (.f64 x x) (.f64 x 4/3)) 1)
(+.f64 (.f64 x (+.f64 4/3 (.f64 x 4/9))) 1)
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(.f64 4/9 (.f64 x x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 (fma.f64 4/9 (.f64 x x) (.f64 x 4/3)) 1)
(+.f64 (.f64 x (+.f64 4/3 (.f64 x 4/9))) 1)
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 (fma.f64 4/9 (.f64 x x) (.f64 x 4/3)) 1)
(+.f64 (.f64 x (+.f64 4/3 (.f64 x 4/9))) 1)
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(.f64 4/9 (.f64 x x))
(+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x))
(fma.f64 4/9 (.f64 x x) (.f64 x 4/3))
(.f64 x (+.f64 4/3 (.f64 x 4/9)))
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 (fma.f64 4/9 (.f64 x x) (.f64 x 4/3)) 1)
(+.f64 (.f64 x (+.f64 4/3 (.f64 x 4/9))) 1)
(+.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 2)) (.f64 4/3 x)))
(+.f64 (fma.f64 4/9 (.f64 x x) (.f64 x 4/3)) 1)
(+.f64 (.f64 x (+.f64 4/3 (.f64 x 4/9))) 1)
(+.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 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (neg.f64 (/.f64 1 (fma.f64 x 2/3 2))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 -1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 2/3 x)
(-.f64 (fma.f64 x 2/3 1) 1)
(*.f64 2/3 x)
(-.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 -1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(.f64 1 (.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (fma.f64 x 2/3 2)))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 -1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(.f64 (fma.f64 x 2/3 2) (/.f64 (.f64 x 2/3) (fma.f64 x 2/3 2)))
(*.f64 2/3 x)
(.f64 (fma.f64 x 2/3 2) (.f64 (*.f64 x 2/3) (/.f64 1 (fma.f64 x 2/3 2))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (/.f64 1 (fma.f64 x 2/3 2))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) 2)) (.f64 (/.f64 1 (fma.f64 x 2/3 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) 2)) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2))) (fma.f64 2/3 x 2)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 4/9)) (cbrt.f64 (.f64 x 2/3)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 4/9))) (cbrt.f64 (.f64 2/3 x)))
(.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (cbrt.f64 (.f64 2/3 x)))
(.f64 (cbrt.f64 (fma.f64 x 2/3 2)) (/.f64 (.f64 x 2/3) (cbrt.f64 (fma.f64 x 2/3 2))))
(*.f64 2/3 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2/3))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 x 2/3)) (cbrt.f64 (.f64 (.f64 x x) 4/9)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 4/9))) (cbrt.f64 (.f64 2/3 x)))
(.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (cbrt.f64 (.f64 2/3 x)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (/.f64 1 (fma.f64 x 2/3 2))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 -1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (sqrt.f64 (fma.f64 x 2/3 2)) (/.f64 (.f64 x 2/3) (sqrt.f64 (fma.f64 x 2/3 2))))
(*.f64 2/3 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2/3))
(*.f64 2/3 x)
(.f64 (.f64 (fma.f64 x 2/3 2) (neg.f64 (*.f64 x 2/3))) (/.f64 1 (neg.f64 (fma.f64 x 2/3 2))))
(.f64 (fma.f64 x 2/3 2) (.f64 (*.f64 x -2/3) (/.f64 1 (neg.f64 (fma.f64 x 2/3 2)))))
(.f64 (fma.f64 2/3 x 2) (/.f64 (.f64 x -2/3) (neg.f64 (fma.f64 2/3 x 2))))
(.f64 (fma.f64 2/3 x 2) (/.f64 (.f64 x -2/3) (fma.f64 x -2/3 -2)))
(*.f64 (/.f64 1 (fma.f64 x 2/3 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 -1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(.f64 (.f64 x 2/3) 1)
(*.f64 2/3 x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) 2)) (.f64 (/.f64 1 (fma.f64 x 2/3 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) 2)) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2))) (fma.f64 2/3 x 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)) (/.f64 -1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (cbrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (cbrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 x 2)) -2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (cbrt.f64 (fma.f64 2/3 x 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (cbrt.f64 (.f64 x 2/3)))
(.f64 (cbrt.f64 (.f64 2/3 x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))))
(.f64 (cbrt.f64 (.f64 2/3 x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) 2)) (cbrt.f64 (pow.f64 (fma.f64 2/3 x 2) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2))) (cbrt.f64 (fma.f64 x 2/3 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (cbrt.f64 (fma.f64 2/3 x 2))) (cbrt.f64 (pow.f64 (fma.f64 2/3 x 2) 2)))
(*.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (sqrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (sqrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (pow.f64 (fma.f64 2/3 x 2) -1/2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (sqrt.f64 (fma.f64 2/3 x 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (sqrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2))) (sqrt.f64 (fma.f64 x 2/3 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) 2)) (sqrt.f64 (fma.f64 2/3 x 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2))) (sqrt.f64 (fma.f64 2/3 x 2))))
(*.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)
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(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (.f64 (fma.f64 x 2/3 2) (neg.f64 (.f64 x 2/3))) (/.f64 1 (neg.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (.f64 (fma.f64 x 2/3 2) (.f64 x -2/3)) (/.f64 1 (neg.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (fma.f64 2/3 x 2) (/.f64 (.f64 x -2/3) (neg.f64 (fma.f64 2/3 x 2))) (fma.f64 x (.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (fma.f64 2/3 x 2) (/.f64 (.f64 x -2/3) (fma.f64 x -2/3 -2)) (fma.f64 x (.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (/.f64 1 (fma.f64 x 2/3 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (fma.f64 x 2/3 2)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (/.f64 1 (fma.f64 (.f64 x 2/3) (fma.f64 x 2/3 -1) 1)) (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))))
(fma.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (/.f64 1 (fma.f64 (.f64 2/3 x) (fma.f64 x 2/3 -1) 1)) (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))))
(fma.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (/.f64 1 (fma.f64 (.f64 2/3 x) (fma.f64 2/3 x -1) 1)) (.f64 2/3 (*.f64 x (fma.f64 2/3 x 1))))
(+.f64 (.f64 2/3 (.f64 x (fma.f64 2/3 x 1))) (/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (*.f64 2/3 x) (fma.f64 2/3 x -1) 1)))
(fma.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (/.f64 1 (fma.f64 (.f64 x 2/3) (fma.f64 x 2/3 -1) 1)) (.f64 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1))) 1))
(fma.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (/.f64 1 (fma.f64 (.f64 2/3 x) (fma.f64 x 2/3 -1) 1)) (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))))
(fma.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (/.f64 1 (fma.f64 (.f64 2/3 x) (fma.f64 2/3 x -1) 1)) (.f64 2/3 (*.f64 x (fma.f64 2/3 x 1))))
(+.f64 (.f64 2/3 (.f64 x (fma.f64 2/3 x 1))) (/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (*.f64 2/3 x) (fma.f64 2/3 x -1) 1)))
(fma.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) 1 -1)
(+.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) -1)
(+.f64 -1 (pow.f64 (hypot.f64 1 (fma.f64 2/3 x 1)) 2))
(fma.f64 (.f64 x 2/3) 1 (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (*.f64 x 2/3) (fma.f64 x 2/3 1) (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (-.f64 1 (.f64 (.f64 x x) 4/9)) (/.f64 1 (+.f64 1 (.f64 -2/3 x))) (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))))
(fma.f64 (-.f64 1 (.f64 x (.f64 x 4/9))) (/.f64 1 (+.f64 1 (.f64 x -2/3))) (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))))
(fma.f64 (+.f64 1 (.f64 (.f64 x x) -4/9)) (/.f64 1 (fma.f64 x -2/3 1)) (.f64 2/3 (.f64 x (fma.f64 2/3 x 1))))
(+.f64 (.f64 2/3 (.f64 x (fma.f64 2/3 x 1))) (/.f64 (+.f64 1 (.f64 (.f64 x x) -4/9)) (fma.f64 x -2/3 1)))
(fma.f64 (-.f64 1 (.f64 (.f64 x x) 4/9)) (/.f64 1 (+.f64 1 (.f64 -2/3 x))) (.f64 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1))) 1))
(fma.f64 (-.f64 1 (.f64 x (.f64 x 4/9))) (/.f64 1 (+.f64 1 (.f64 x -2/3))) (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))))
(fma.f64 (+.f64 1 (.f64 (.f64 x x) -4/9)) (/.f64 1 (fma.f64 x -2/3 1)) (.f64 2/3 (.f64 x (fma.f64 2/3 x 1))))
(+.f64 (.f64 2/3 (.f64 x (fma.f64 2/3 x 1))) (/.f64 (+.f64 1 (.f64 (.f64 x x) -4/9)) (fma.f64 x -2/3 1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2)) -1)
(+.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) -1)
(+.f64 -1 (pow.f64 (hypot.f64 1 (fma.f64 2/3 x 1)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))) 2) (cbrt.f64 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))) (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) (hypot.f64 1 (fma.f64 x 2/3 1)) -1)
(+.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) -1)
(+.f64 -1 (pow.f64 (hypot.f64 1 (fma.f64 2/3 x 1)) 2))
(fma.f64 (hypot.f64 (sqrt.f64 (.f64 x 2/3)) (.f64 x 2/3)) (hypot.f64 (sqrt.f64 (.f64 x 2/3)) (.f64 x 2/3)) (fma.f64 x 2/3 1))
(fma.f64 (hypot.f64 (sqrt.f64 (.f64 2/3 x)) (.f64 2/3 x)) (hypot.f64 (sqrt.f64 (.f64 2/3 x)) (.f64 2/3 x)) (fma.f64 x 2/3 1))
(fma.f64 (hypot.f64 (sqrt.f64 (.f64 2/3 x)) (.f64 2/3 x)) (hypot.f64 (sqrt.f64 (.f64 2/3 x)) (.f64 2/3 x)) (fma.f64 2/3 x 1))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2)) (.f64 x (.f64 2/3 (fma.f64 x 2/3 1))))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2)) (.f64 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1))) 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) 2)) (.f64 (/.f64 1 (fma.f64 x 2/3 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)))) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) 2)) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2))) (fma.f64 2/3 x 2)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (fma.f64 x 2/3 2)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (fma.f64 x 2/3 2)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (cbrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 2)) -2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (cbrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 x 2)) -2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (cbrt.f64 (fma.f64 2/3 x 2))) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (cbrt.f64 (.f64 x 2/3)) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (cbrt.f64 (.f64 2/3 x)) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (cbrt.f64 (.f64 2/3 x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) 2)) (cbrt.f64 (pow.f64 (fma.f64 2/3 x 2) 2))) (fma.f64 x (.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (cbrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 x 2/3 2) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2))) (cbrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (cbrt.f64 (fma.f64 2/3 x 2))) (cbrt.f64 (pow.f64 (fma.f64 2/3 x 2) 2))) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (sqrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (pow.f64 (fma.f64 x 2/3 2) -1/2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (pow.f64 (fma.f64 2/3 x 2) -1/2) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (sqrt.f64 (fma.f64 2/3 x 2))) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (sqrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) 2)) (sqrt.f64 (fma.f64 x 2/3 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2))) (sqrt.f64 (fma.f64 x 2/3 2))) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) 2)) (sqrt.f64 (fma.f64 2/3 x 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2))) (sqrt.f64 (fma.f64 2/3 x 2))) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (.f64 x 2/3))) (.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (.f64 x 2/3))) (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (fma.f64 x 2/3 1))) (.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (fma.f64 x 2/3 1))) (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 x 2/3 1) 3))) (-.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) (fma.f64 x 2/3 1)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (+.f64 1 (pow.f64 (fma.f64 x 2/3 1) 3))) (-.f64 (pow.f64 (hypot.f64 1 (fma.f64 x 2/3 1)) 2) (fma.f64 x 2/3 1)) (+.f64 1 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(fma.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (+.f64 1 (pow.f64 (fma.f64 2/3 x 1) 3))) (-.f64 (pow.f64 (hypot.f64 1 (fma.f64 2/3 x 1)) 2) (fma.f64 2/3 x 1)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x 1)) 1))
(fma.f64 (.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (.f64 x (*.f64 2/3 (fma.f64 x 2/3 1)))))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (*.f64 (fma.f64 x 2/3 1) x) 2/3 (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (*.f64 (fma.f64 x 2/3 1) 2/3) x (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (.f64 (fma.f64 x 2/3 1) (cbrt.f64 (.f64 (.f64 x x) 4/9))) (cbrt.f64 (.f64 x 2/3)) (fma.f64 x 2/3 1))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4/9))) (.f64 (fma.f64 x 2/3 1) (cbrt.f64 (.f64 2/3 x))) (fma.f64 x 2/3 1))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4/9))) (.f64 (fma.f64 2/3 x 1) (cbrt.f64 (.f64 2/3 x))) (fma.f64 2/3 x 1))
(fma.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (.f64 (fma.f64 2/3 x 1) (cbrt.f64 (.f64 2/3 x))) (fma.f64 2/3 x 1))
(fma.f64 (.f64 (fma.f64 x 2/3 1) (sqrt.f64 (.f64 x 2/3))) (sqrt.f64 (*.f64 x 2/3)) (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (.f64 (.f64 x 2/3) (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2)) (cbrt.f64 (fma.f64 x 2/3 1)) (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)
(fma.f64 (.f64 (.f64 x 2/3) (sqrt.f64 (fma.f64 x 2/3 1))) (sqrt.f64 (fma.f64 x 2/3 1)) (fma.f64 x 2/3 1))
(+.f64 1 (fma.f64 x 2/3 (.f64 x (.f64 2/3 (fma.f64 x 2/3 1)))))
(pow.f64 (fma.f64 2/3 x 1) 2)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
✓	0.3b	(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
✓	3.4b	(-.f64 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1) 1)

Compiler

Compiled 36 to 30 computations (16.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary64`
919×	`add-log-exp_binary64`
919×	`log1p-expm1-u_binary64`
919×	`expm1-log1p-u_binary64`
110×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	221	28
2	2753	28

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-def_binary64`
582×	`associate-/l*_binary64`
411×	`fma-neg_binary64`
373×	`cancel-sign-sub-inv_binary64`
358×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2840
1	484	2754
2	1503	2656

Stop Event

1×	node limit

Counts

164 → 133

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 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))))
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) 1))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 1 (*.f64 1/180 (pow.f64 x 5)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0)
(+.f64 1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 -1))
(+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) -1)
(+.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(+.f64 -1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1))
(.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (/.f64 1 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)))
(.f64 (+.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 1))
(.f64 (.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 4/3 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (+.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (-.f64 1 (.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (+.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (-.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1)) (neg.f64 (+.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27) 0) (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (-.f64 0 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 0))))
(/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) 0) (-.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27) 1/3)
(sqrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 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 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 0)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 0)
(fma.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0)
(fma.f64 1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 2) (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) -1)
(fma.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)) 0)
(fma.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) -1)
(fma.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 0)
(+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0)
(+.f64 1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 -1))
(+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) -1)
(+.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(+.f64 -1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))
(-.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (/.f64 1 (+.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (+.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (-.f64 1 (.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (+.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1) (-.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 2) -1)) (neg.f64 (+.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27) 0) (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (-.f64 0 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 0))))
(/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) 0) (-.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27) 1/3)
(sqrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 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 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 0)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 0)
(fma.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0)
(fma.f64 1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 2) (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) -1)
(fma.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)) 0)
(fma.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) -1)
(fma.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 0)
(-.f64 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 -1)) (/.f64 1 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 -1)))
(.f64 1 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1))
(.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1) 1)
(.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 2) (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 2) (.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1))
(.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) (.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 1)) 1))
(.f64 (+.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) (/.f64 1 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (-.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) -1) (/.f64 1 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (-.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (+.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27))))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 -1) (+.f64 (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2) -1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (-.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) (+.f64 1 (-.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) -1) (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 -1))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27))) (neg.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (-.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) -1)) (neg.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 -1)))
(/.f64 (-.f64 1 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (-.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27)) 1) (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (-.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) -1) 1) (fma.f64 (tan.f64 (.f64 x 1/2)) 4/3 -1))
(pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 2)
(pow.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 2))
(log.f64 (exp.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))))
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(log1p.f64 (expm1.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(fma.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(fma.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)) 1)
(fma.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1)

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 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.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 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 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))))
(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 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.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 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) 1))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x 1))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) 1))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 1 (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (+.f64 (fma.f64 2/3 x 1) (*.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) 1)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) 1)))
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(fma.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1)
(+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 -1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) -1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 -1 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
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(+.f64 (/.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) -1)) (/.f64 -1 (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) -1)))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 6) 16/9 -1) (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) -1))
(pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 3)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)) 2)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 3) 1/3)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 2))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(log.f64 (exp.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1))))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1) 3))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(log1p.f64 (expm1.f64 (fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(fma.f64 (tan.f64 (*.f64 x 1/2)) 4/3 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(fma.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(fma.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)) 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)
(fma.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (-.f64 1 (cos.f64 x)))
	0.1b	(*.f64 (sin.f64 x) 3/8)
✓	0.3b	(/.f64 1/2 (*.f64 (sin.f64 x) 3/8))
	2.1b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
399×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`
290×	`pow2_binary64`
202×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	234	20
2	2940	15

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

947×	`fma-def_binary64`
528×	`distribute-rgt-in_binary64`
519×	`distribute-lft-in_binary64`
226×	`unswap-sqr_binary64`
178×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	1686
1	771	1655
2	2776	1599

Stop Event

1×	node limit

Counts

139 → 150

Calls

Call 1

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

Outputs
(/.f64 4/3 x)
(+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 2/9 x (/.f64 4/3 x))
(fma.f64 x 2/9 (/.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)))
(fma.f64 7/270 (pow.f64 x 3) (fma.f64 x 2/9 (/.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))))
(fma.f64 31/11340 (pow.f64 x 5) (fma.f64 7/270 (pow.f64 x 3) (fma.f64 x 2/9 (/.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))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 (pow.f64 x 3) 1/18)))
(+.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 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 x 2/3 (*.f64 17/30240 (pow.f64 x 7)))))
(*.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 0 (/.f64 4/3 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1)
(/.f64 4/3 (sin.f64 x))
(*.f64 1/2 (/.f64 8/3 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (/.f64 4/3 (sin.f64 x)) 1)
(/.f64 4/3 (sin.f64 x))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2))
(/.f64 4/3 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(.f64 -1/2 (/.f64 1 (.f64 (sin.f64 x) -3/8)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1/2)
(/.f64 4/3 (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) 8/3)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (E.f64) (log.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) 4/3) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) 4/3) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4/3 (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 4/3 (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))) (sqrt.f64 (log.f64 (/.f64 4/3 (sin.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))
(/.f64 4/3 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (sin.f64 x))) 1))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -3)) 1/3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) 3))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) 2))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) 4/3)) -1))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 4/3) -2))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4/3 (sin.f64 x))) 1) 1))
(/.f64 4/3 (sin.f64 x))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.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 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 0 (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) -3/8))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 1/2 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 -1/2 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (*.f64 (sin.f64 x) -3/8) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 3/8 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 1/2 (pow.f64 (sin.f64 x) 2)) (.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 -1/2 (pow.f64 (sin.f64 x) 2)) (.f64 (*.f64 (sin.f64 x) -3/8) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 (/.f64 1/2 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (.f64 3/8 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1/2) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1/2) (.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (/.f64 (sin.f64 x) 4/3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1) (.f64 (+.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4/3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1/2) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 (sin.f64 x) -3/8)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1/2) (.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/8)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1/2 (sin.f64 x))) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/8))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (sin.f64 x))) (.f64 (+.f64 1 (cos.f64 x)) 3/8))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (sin.f64 x)) 3/8)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) 3/8) (sin.f64 x))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (.f64 1/2 (-.f64 1 (cos.f64 x))) 1) (.f64 (sin.f64 x) 3/8))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (.f64 1/2 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (.f64 1/2 (-.f64 1 (cos.f64 x))) (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 -1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) -3/8))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 3/8)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 4/3) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 1/2 (*.f64 1 (/.f64 (fma.f64 (cos.f64 x) 3/8 3/8) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) -1/2) (.f64 (sin.f64 x) -3/8))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 3/8)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (E.f64) (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2) 1/2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 1/2 (-.f64 1 (cos.f64 x)))) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))))) 2)) (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (/.f64 x 2)))))) (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))))))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (/.f64 x 2)))) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 1/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))))) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))))) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 1) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (/.f64 8/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (/.f64 8/3 (sin.f64 x)) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (/.f64 4/3 (sin.f64 x)) 1 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (/.f64 4/3 (sin.f64 x)) 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 -1/2 (/.f64 1 (.f64 (sin.f64 x) -3/8)) (.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 -1/2 (/.f64 1 (.f64 (sin.f64 x) -3/8)) (.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (/.f64 8/3 (sin.f64 x)) 1/2 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (/.f64 8/3 (sin.f64 x)) 1/2 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (/.f64 1/2 (sin.f64 x)) 8/3 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (/.f64 1/2 (sin.f64 x)) 8/3 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))

eval445.0ms (5.5%)

Compiler: Compiled 20081 to 16471 computations (18% saved)

prune196.0ms (2.4%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	958	3	961
Fresh	2	6	8
Picked	0	1	1
Done	1	7	8
Total	961	17	978

Error

Counts

978 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
	32.7b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4/3))
	0.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
	27.0b	(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 x 2/3)) 1))
	61.2b	(/.f64 (.f64 4/9 (.f64 x x)) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
✓	0.1b	(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
✓	28.7b	(/.f64 8/3 (/.f64 4 x))
	28.5b	(/.f64 8/3 (+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x))))
	0.3b	(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
✓	32.1b	(-.f64 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1) 1)
✓	61.1b	(-.f64 1 1)
✓	32.7b	(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (-.f64 1 (cos.f64 x)))
✓	28.7b	(*.f64 x 2/3)
✓	0.3b	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
	28.7b	(*.f64 -8/3 (/.f64 1 (/.f64 -4 x)))
✓	32.7b	(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))

Compiler

Compiled 161 to 135 computations (16.1% saved)

regimes64.0ms (0.8%)

Counts

45 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(-.f64 1 1)
(/.f64 8/3 (/.f64 4 x))
(*.f64 -8/3 (/.f64 1 (/.f64 -4 x)))
(/.f64 8/3 (+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x))))
(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 x 2/3)) 1))
(/.f64 (.f64 4/9 (.f64 x x)) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x 2/3)) (+.f64 1 (.f64 x 2/3))) 1) (+.f64 (+.f64 1 (.f64 x 2/3)) 1))
(fabs.f64 (*.f64 x 2/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/8) 2)
(-.f64 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1) 1)
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4/3))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (-.f64 1 (cos.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (+.f64 4/3 (.f64 8/3 (.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (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 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.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 x)) (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6) 1/3))
(pow.f64 (sqrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)

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

Calls

3 calls:

19.0ms	x
15.0ms	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
15.0ms	(/.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
0.1b	1	`x`
0.1b	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`
0.1b	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 512 to 382 computations (25.4% saved)

regimes10.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 93 to 76 computations (18.3% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 x 2/3)) 1))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
27.0b	1	`x`

Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 8/3 (+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x))))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
28.5b	1	`x`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -32.7b remaining (-113.9%)

Threshold costs -32.7b (-113.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 x 2/3)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
28.7b	1	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	54
1	38	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 42 to 35 computations (16.7% saved)

soundness10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	44	22
4	52	22
5	61	22

Stop Event

1×

saturated

Compiler

Compiled 66 to 54 computations (18.2% saved)

end35.0ms (0.4%)

Compiler: Compiled 38 to 31 computations (18.4% saved)