Metrics for tanhf (example 3.4)

analyze228.0ms (1.3%)

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
25%	25%	75%	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 9 to 7 computations (22.2% saved)

sample14.2s (78.7%)

Results

10.1s	3105×	body	1024	valid
3.1s	2040×	body	2048	valid
576.0ms	1553×	body	512	valid
300.0ms	1447×	body	256	valid
160.0ms	110×	body	4096	valid
2.0ms	1×	body	8192	valid

Bogosity

preprocess274.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def`
150×	`associate-/r*`
132×	`sub-neg`
126×	`associate-*r/`
120×	`*-commutative`

Problems

123×	No Errors
79×	`(-.f64 1 (cos.f64 x))`
54×	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	39	37
2	55	33
3	89	33
4	161	33
5	299	33
6	574	33
7	1059	33
8	1305	33
9	1340	33
10	1394	33
11	1455	33
12	1495	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) 2))
(tan.f64 (neg.f64 (/.f64 x 2)))
(tan.f64 (*.f64 -1/2 x))
(tan.f64 (*.f64 x -1/2))

Compiler

Compiled 27 to 16 computations (40.7% saved)

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tan.f64 (/.f64 x 2))
▶	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 10 to 8 computations (20% saved)

localize45.0ms (0.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(tan.f64 (/.f64 x 2))
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite191.0ms (1.1%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

988×	`prod-exp`
780×	`frac-times`
474×	`associate-*r/`
362×	`associate-r`
350×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	20	11
2	56	11
3	182	11
4	783	11
5	6378	11

Stop Event

1×	node limit

Counts

1 → 107

Calls

Call 1

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

Outputs
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 0) (tan.f64 (*.f64 x 1/2)))
(+.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 0) (tan.f64 (*.f64 x 1/2)))
(+.f64 (.f64 0 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (tan.f64 (*.f64 x 1/2)))
(-.f64 0 (tan.f64 (*.f64 x 1/2)))
(-.f64 (/.f64 0 (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(-.f64 (/.f64 0 (+.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 -1 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) -1)
(.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (+.f64 0 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (sin.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (neg.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))) (cos.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))
(.f64 (neg.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) 1) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 -1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) -1)
(/.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (+.f64 0 (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 0 (sin.f64 x)) (*.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))
(/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (/.f64 1 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2)))
(/.f64 (-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x 1/2)))
(/.f64 (-.f64 0 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) (+.f64 0 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2))) (.f64 0 (tan.f64 (.f64 x 1/2))))))
(/.f64 (+.f64 (tan.f64 0) (tan.f64 (.f64 x 1/2))) (-.f64 1 (.f64 (tan.f64 0) (tan.f64 (*.f64 x 1/2)))))
(/.f64 (+.f64 (sin.f64 x) 0) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (*.f64 1 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 -1 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (*.f64 (+.f64 0 (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 -1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 -1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (-.f64 (.f64 0 (/.f64 1 (tan.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (tan.f64 (.f64 x 1/2)))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2))))
(/.f64 (-.f64 (.f64 0 (+.f64 1 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (+.f64 0 (sin.f64 x)))) (.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) -1) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) -1) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 0 (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2) 2)
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) -1)
(pow.f64 (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (/.f64 1 (tan.f64 (*.f64 x 1/2)))) -1/2)
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1)))
(exp.f64 (+.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1/2) (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1/2)))
(exp.f64 (neg.f64 (neg.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))))
(exp.f64 (neg.f64 (.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) -1)))
(exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) -1)))
(exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (neg.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))))))
(exp.f64 (-.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) -1)))

Calls

3 calls:

1.0ms	(tan.f64 (/.f64 x 2))
0.0ms	(tan.f64 (/.f64 x 2))
0.0ms	(tan.f64 (/.f64 x 2))

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg`
750×	`associate-*r/`
666×	`fma-def`
572×	`*-commutative`
532×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	267	2667
1	706	2445
2	2057	2445
3	6248	2445

Stop Event

1×	node limit

Counts

119 → 127

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 0) (tan.f64 (*.f64 x 1/2)))
(+.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 0) (tan.f64 (*.f64 x 1/2)))
(+.f64 (.f64 0 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (tan.f64 (*.f64 x 1/2)))
(-.f64 0 (tan.f64 (*.f64 x 1/2)))
(-.f64 (/.f64 0 (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(-.f64 (/.f64 0 (+.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 -1 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) -1)
(.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (+.f64 0 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (sin.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (neg.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))) (cos.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))
(.f64 (neg.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) 1) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 -1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) -1)
(/.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (+.f64 0 (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 0 (sin.f64 x)) (*.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))
(/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (/.f64 1 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2)))
(/.f64 (-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x 1/2)))
(/.f64 (-.f64 0 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) (+.f64 0 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2))) (.f64 0 (tan.f64 (.f64 x 1/2))))))
(/.f64 (+.f64 (tan.f64 0) (tan.f64 (.f64 x 1/2))) (-.f64 1 (.f64 (tan.f64 0) (tan.f64 (*.f64 x 1/2)))))
(/.f64 (+.f64 (sin.f64 x) 0) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (*.f64 1 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 -1 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (*.f64 (+.f64 0 (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 -1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 -1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (-.f64 (.f64 0 (/.f64 1 (tan.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (tan.f64 (.f64 x 1/2)))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2))))
(/.f64 (-.f64 (.f64 0 (+.f64 1 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (+.f64 0 (sin.f64 x)))) (.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) -1) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) -1) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 0 (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2) 2)
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) -1)
(pow.f64 (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (/.f64 1 (tan.f64 (*.f64 x 1/2)))) -1/2)
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1)))
(exp.f64 (+.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1/2) (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1/2)))
(exp.f64 (neg.f64 (neg.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))))
(exp.f64 (neg.f64 (.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) -1)))
(exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) -1)))
(exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (neg.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))))))
(exp.f64 (-.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) -1)))
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(log1p.f64 (expm1.f64 (tan.f64 (/.f64 x 2))))
(expm1.f64 (log1p.f64 (tan.f64 (/.f64 x 2))))
(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
(*.f64 1 (tan.f64 (/.f64 x 2)))
(pow.f64 (tan.f64 (/.f64 x 2)) 1)
(exp.f64 (log.f64 (tan.f64 (/.f64 x 2))))
(log.f64 (exp.f64 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 0) (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 0) (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.f64 (.f64 0 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(-.f64 0 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(-.f64 (/.f64 0 (+.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(-.f64 0 (tan.f64 (/.f64 x 2)))
(tan.f64 (neg.f64 (/.f64 x 2)))
(neg.f64 (tan.f64 (/.f64 x 2)))
(-.f64 (/.f64 0 (+.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(.f64 -1 (tan.f64 (.f64 x 1/2)))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) -1)
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(*.f64 (+.f64 0 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (neg.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2)))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))) (cos.f64 (.f64 x 1/2)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (cos.f64 (.f64 1/2 x)) 2)) (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (neg.f64 (cos.f64 (.f64 1/2 x))) 3)))
(.f64 (neg.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) 1) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 -1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(/.f64 (tan.f64 (*.f64 x 1/2)) -1)
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (+.f64 0 (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(/.f64 (+.f64 0 (sin.f64 x)) (*.f64 1 (+.f64 1 (cos.f64 x))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2) (/.f64 1 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/2)))
(tan.f64 (*.f64 1/2 x))
(/.f64 (-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x 1/2)))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 0 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) (+.f64 0 (+.f64 (.f64 (tan.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2))) (.f64 0 (tan.f64 (.f64 x 1/2))))))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(/.f64 (+.f64 (tan.f64 0) (tan.f64 (.f64 x 1/2))) (-.f64 1 (.f64 (tan.f64 0) (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(/.f64 (+.f64 (sin.f64 x) 0) (+.f64 1 (cos.f64 x)))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (*.f64 1 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(/.f64 (*.f64 -1 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(-.f64 0 (tan.f64 (/.f64 x 2)))
(tan.f64 (neg.f64 (/.f64 x 2)))
(neg.f64 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 0 (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 -1 (cos.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 -1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (-.f64 (.f64 0 (/.f64 1 (tan.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (tan.f64 (.f64 x 1/2)))))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (-.f64 (.f64 0 (+.f64 1 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (+.f64 0 (sin.f64 x)))) (.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (+.f64 1 (cos.f64 x))))
(-.f64 0 (tan.f64 (/.f64 x 2)))
(tan.f64 (neg.f64 (/.f64 x 2)))
(neg.f64 (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) -1) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) -1) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 0 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(-.f64 0 (tan.f64 (/.f64 x 2)))
(tan.f64 (neg.f64 (/.f64 x 2)))
(neg.f64 (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (+.f64 0 (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/2) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) -1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (/.f64 1 (tan.f64 (*.f64 x 1/2)))) -1/2)
(tan.f64 (*.f64 1/2 x))
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2))))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(exp.f64 (+.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1/2) (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1/2)))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (neg.f64 (neg.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (neg.f64 (.f64 (.f64 -1 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) -1)))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (neg.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) -1)))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 1)))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 1 (sin.f64 (.f64 x 1/2)))) -1) (neg.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(exp.f64 (-.f64 (.f64 -1 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) -1)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) -1) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) -1)))
(.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 (cos.f64 (.f64 1/2 x))))
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(log1p.f64 (expm1.f64 (tan.f64 (/.f64 x 2))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(expm1.f64 (log1p.f64 (tan.f64 (/.f64 x 2))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(*.f64 1 (tan.f64 (/.f64 x 2)))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(pow.f64 (tan.f64 (/.f64 x 2)) 1)
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(exp.f64 (log.f64 (tan.f64 (/.f64 x 2))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(log.f64 (exp.f64 (tan.f64 (/.f64 x 2))))
(-.f64 0 (neg.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))

eval116.0ms (0.6%)

Compiler: Compiled 1656 to 1361 computations (17.8% saved)

prune17.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Accuracy

100.0%

Counts

128 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	73.8%	(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
▶	45.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	73.8%	(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))

Compiler

Compiled 50 to 40 computations (20% saved)

localize265.0ms (1.5%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	73.8%	(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
	99.5%	(*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))
	99.6%	(.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))
	100.0%	(tan.f64 (/.f64 x 2))
	100.0%	(tan.f64 (/.f64 x 2))
✓	99.6%	(.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))
✓	99.5%	(*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))
✓	73.8%	(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))

Compiler

Compiled 54 to 41 computations (24.1% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite159.0ms (0.9%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1352×	`log-div`
602×	`associate-r`
580×	`associate-l`
476×	`flip-+`
438×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	32	45
2	112	45
3	638	45
4	5767	45

Stop Event

1×	node limit

Counts

3 → 377

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
(*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))
(.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))

Inputs

(cbrt.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))

(*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))

(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))

Outputs
(-.f64 0 (tan.f64 (*.f64 x -1/2)))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x -1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
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(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 1) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
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(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2) (cbrt.f64 (sin.f64 (.f64 x -1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2) (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2))
(/.f64 (.f64 -1 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2))
(/.f64 (.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x -1/2))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (neg.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3/2))
(/.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))) -1) (cos.f64 (.f64 x 1/2)))
(/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) 3) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(/.f64 (exp.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (exp.f64 (log.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (exp.f64 (log.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (tan.f64 (*.f64 x 1/2))))))
(/.f64 (exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) (exp.f64 (log.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(/.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))))) (exp.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2))))))
(/.f64 (exp.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 3))) (exp.f64 (log.f64 (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3))))
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 3) (cos.f64 (.f64 x 1/2))))) (exp.f64 (log.f64 (+.f64 -1/2 (neg.f64 (*.f64 1/2 (cos.f64 x)))))))
(/.f64 (exp.f64 (+.f64 (.f64 2 (log.f64 (tan.f64 (.f64 x 1/2)))) 0)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 3/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 9)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 6)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6) 1/2)
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) -1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 2)
(pow.f64 (exp.f64 3) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 2) (.f64 3/2 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (E.f64) (log.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(pow.f64 (exp.f64 1/3) (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) 3))
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 6)) 1/3)
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (exp.f64 3/2) (.f64 2 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (.f64 3 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))) 1/3)
(neg.f64 (pow.f64 (tan.f64 (*.f64 x -1/2)) 3))
(neg.f64 (.f64 (tan.f64 (.f64 x -1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(neg.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(neg.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (tan.f64 (*.f64 x -1/2))))
(neg.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(neg.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 6)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(exp.f64 (.f64 (.f64 2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 3/2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 2/3) 3) (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(exp.f64 (-.f64 (.f64 (.f64 2 (log.f64 (tan.f64 (.f64 x 1/2)))) 1) (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6)) 1/3) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x -1/2))) 3) (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) 3)))

Calls

10 calls:

1.0ms	(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
0.0ms	(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
0.0ms	(*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))
0.0ms	(.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))
0.0ms	(tan.f64 (/.f64 x 2))

simplify328.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-/l*`
1162×	`associate-l`
912×	`associate-/r*`
658×	`prod-exp`
609×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	861	16167
1	2060	13969
2	7677	13949

Stop Event

1×	node limit

Counts

413 → 568

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 31/40320 (pow.f64 x 8)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 2)))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 11/12096 (pow.f64 x 9)) (+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(-.f64 0 (tan.f64 (*.f64 x -1/2)))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x -1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (exp.f64 (.f64 1 (.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 2/3))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)))
(.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1/3))
(.f64 -1 (tan.f64 (.f64 x -1/2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))) 1/3))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) -1))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x -1/2)) (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 1))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4) 2) 1/3))
(.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x -1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (exp.f64 (log.f64 (sin.f64 (.f64 x 1/2)))) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(.f64 (exp.f64 (neg.f64 (log.f64 (cos.f64 (.f64 x 1/2))))) (exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (exp.f64 (log.f64 (sin.f64 (.f64 x -1/2)))) (exp.f64 (log.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 1 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
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(/.f64 (.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x -1/2))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4) 2)) (neg.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3/2))
(/.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))) -1) (cos.f64 (.f64 x 1/2)))
(/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) 3) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(/.f64 (exp.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (exp.f64 (log.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (exp.f64 (log.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (tan.f64 (*.f64 x 1/2))))))
(/.f64 (exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) (exp.f64 (log.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(/.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))))) (exp.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2))))))
(/.f64 (exp.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 3))) (exp.f64 (log.f64 (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3))))
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 3) (cos.f64 (.f64 x 1/2))))) (exp.f64 (log.f64 (+.f64 -1/2 (neg.f64 (*.f64 1/2 (cos.f64 x)))))))
(/.f64 (exp.f64 (+.f64 (.f64 2 (log.f64 (tan.f64 (.f64 x 1/2)))) 0)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 3/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 9)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 6)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6) 1/2)
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) -1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2) 2)
(pow.f64 (exp.f64 3) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 2) (.f64 3/2 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (E.f64) (log.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(pow.f64 (exp.f64 1/3) (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) 3))
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 6)) 1/3)
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (exp.f64 3/2) (.f64 2 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (.f64 3 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))) 1/3)
(neg.f64 (pow.f64 (tan.f64 (*.f64 x -1/2)) 3))
(neg.f64 (.f64 (tan.f64 (.f64 x -1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(neg.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(neg.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (tan.f64 (*.f64 x -1/2))))
(neg.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(neg.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 6)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(exp.f64 (.f64 (.f64 2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 3/2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 2/3) 3) (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(exp.f64 (-.f64 (.f64 (.f64 2 (log.f64 (tan.f64 (.f64 x 1/2)))) 1) (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6)) 1/3) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x -1/2))) 3) (.f64 (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) 3)))
(.f64 (sqrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))) (sqrt.f64 (.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))) (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))) (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))) (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))) (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(.f64 1 (.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
(pow.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))) 1)
(exp.f64 (log.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(log.f64 (exp.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (.f32 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))) (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (.f32 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))) (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (*.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))) (tan.f32 (/.f32 (binary64->binary32 x) 2)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(.f64 x (.f64 x 1/4))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/4)))
(+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))))
(fma.f64 17/2880 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 4) (.f64 1/4 (.f64 x x))))
(fma.f64 17/2880 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/4))))
(+.f64 (.f64 31/40320 (pow.f64 x 8)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 2)))))
(fma.f64 31/40320 (pow.f64 x 8) (fma.f64 17/2880 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))))
(fma.f64 31/40320 (pow.f64 x 8) (fma.f64 17/2880 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/4)))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (pow.f64 (cos.f64 (.f64 1/2 x)) 2))
(*.f64 1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/8)
(+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8))
(fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32))
(+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 11/1920 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8)))
(fma.f64 (pow.f64 x 7) 11/1920 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32)))
(+.f64 (.f64 11/12096 (pow.f64 x 9)) (+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 11/1920 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 (pow.f64 x 7) 11/1920 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(-.f64 0 (tan.f64 (*.f64 x -1/2)))
(neg.f64 (tan.f64 (*.f64 x -1/2)))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x -1/2)))
(neg.f64 (tan.f64 (*.f64 x -1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (exp.f64 (.f64 1 (.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 2/3))))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (exp.f64 (.f64 (log.f64 (tan.f64 (.f64 1/2 x))) 2/3)))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (exp.f64 2/3) (log.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)))
(.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) -3)))
(.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1/3))
(.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) -3)))
(.f64 -1 (tan.f64 (.f64 x -1/2)))
(neg.f64 (tan.f64 (*.f64 x -1/2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (cos.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 x))))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 x))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))) 1/3))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (cos.f64 (.f64 1/2 x)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
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(.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))) (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))) (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))) (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) 3))
(.f64 1 (.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))
(.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(pow.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))) 1)
(.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(exp.f64 (log.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(log.f64 (exp.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (.f32 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))) (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2)))))
(binary32->binary64 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (.f32 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))) (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2)))))
(binary32->binary64 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3))
(binary32->binary64 (binary64->binary32 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 2 (log.f64 (tan.f64 (/.f64 x 2)))))))
(binary32->binary64 (binary64->binary32 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 2 (log.f64 (tan.f64 (/.f64 x 2)))))))
(binary32->binary64 (*.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (tan.f64 (/.f64 x 2)) (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))) (tan.f32 (/.f32 (binary64->binary32 x) 2)))))
(binary32->binary64 (cbrt.f32 (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) (tan.f32 (/.f32 (binary64->binary32 x) 2))))))
(binary32->binary64 (cbrt.f32 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3)))

eval603.0ms (3.3%)

Compiler: Compiled 19519 to 16137 computations (17.3% saved)

prune234.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	952	1	953
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	953	3	956

Accuracy

100.0%

Counts

956 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	73.9%	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
✓	45.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	73.9%	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize157.0ms (0.9%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	73.8%	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
	99.3%	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
	100.0%	(tan.f64 (/.f64 x 2))
	100.0%	(tan.f64 (/.f64 x 2))
✓	99.3%	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
✓	73.8%	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))

Compiler

Compiled 25 to 20 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite112.0ms (0.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1044×	`associate-r`
996×	`associate-l`
686×	`unpow-prod-down`
632×	`associate-*r/`
512×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	35	28
2	137	28
3	867	28

Stop Event

1×	node limit

Counts

2 → 338

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)

Outputs
(-.f64 0 (tan.f64 (*.f64 x -1/2)))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x -1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)))
(.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1/3))
(.f64 -1 (tan.f64 (.f64 x -1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) -1))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x -1/2)) (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 1))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/4) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/4) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/4)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/4) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/2) 1/6))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5))) 1/3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x -1/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5) 1/6))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/4)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 1 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/6) 3) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6) 3))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 1/2) (pow.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 1/2))
(.f64 (pow.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5)) 1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 4)) 1/2))
(.f64 (pow.f64 (exp.f64 1/3) (/.f64 (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (pow.f64 (exp.f64 1/3) (/.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 1) (pow.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) 1))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/4) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)) 1/2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 1/2))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) 1/2) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1/2))
(.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 1/2) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2) 1/2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1/2))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) 2/3) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3/2) 2/3))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/2) 1/6) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
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(.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/4) (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/4) (pow.f64 (tan.f64 (.f64 x 1/2)) 3/8)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/8))
(.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 1) (tan.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (neg.f64 (cos.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x -1/2)))
(.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (+.f64 (cos.f64 x) (cos.f64 0))) 2)
(.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x 1/2)))) (pow.f64 (exp.f64 3) (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(.f64 (pow.f64 (exp.f64 3) (.f64 2/3 (log.f64 (tan.f64 (.f64 x 1/2))))) (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) 1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) 1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 1) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/4) 1) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 1) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2) 1) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) 3/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)) 3/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) 3/2) (pow.f64 (cos.f64 (*.f64 x 1/2)) -3/2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4)) 3/2) (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5) 1/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9/2) 1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 1 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (/.f64 1 (tan.f64 (.f64 x 1/2))))
(/.f64 1 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1))
(/.f64 1 (/.f64 (+.f64 -1/2 (neg.f64 (.f64 1/2 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 3) (cos.f64 (*.f64 x 1/2)))))
(/.f64 1 (pow.f64 (exp.f64 3) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 -1 (pow.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) 3))
(/.f64 -1 (neg.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5))))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (neg.f64 (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3)))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (sin.f64 (*.f64 x 1/2))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (sin.f64 (*.f64 x 1/2))) 1))
(/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (+.f64 -1/2 (neg.f64 (.f64 1/2 (cos.f64 x)))) (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (.f64 x -1/2)) (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (/.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x -1/2)) (neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 4))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (+.f64 -1/2 (neg.f64 (.f64 1/2 (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x -1/2))) (/.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (tan.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x -1/2)) 3) (cos.f64 (.f64 x 1/2))) (+.f64 -1/2 (neg.f64 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4)) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2)))
(/.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))))) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) -1) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) -1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 1) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) 1) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) (cbrt.f64 (sin.f64 (.f64 x -1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 -1 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)))) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x -1/2))) (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3/2))
(/.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))) -1) (cos.f64 (.f64 x 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) 3) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 3))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x 1/2)))) (pow.f64 (exp.f64 3) (log.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x -1/2)))) (pow.f64 (exp.f64 3) (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2))))))
(neg.f64 (pow.f64 (tan.f64 (*.f64 x -1/2)) 3))
(neg.f64 (.f64 (tan.f64 (.f64 x -1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(neg.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(neg.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (tan.f64 (*.f64 x -1/2))))
(neg.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(neg.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9))
(exp.f64 (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6)) 1/2))
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9)) 1/3))

Calls

7 calls:

2.0ms	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
0.0ms	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
0.0ms	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
0.0ms	(tan.f64 (/.f64 x 2))
0.0ms	(pow.f64 (tan.f64 (/.f64 x 2)) 3)

simplify260.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1146×	`times-frac`
864×	`associate-/l*`
698×	`associate-/r*`
690×	`*-commutative`
550×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	748	25769817694
1	1742	4294981112
2	6175	13516

Stop Event

1×	node limit

Counts

362 → 492

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 11/12096 (pow.f64 x 9)) (+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(-.f64 0 (tan.f64 (*.f64 x -1/2)))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x -1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)))
(.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1/3))
(.f64 -1 (tan.f64 (.f64 x -1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) -1))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x -1/2)) (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 1))
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(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 4)) (/.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2)))
(/.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))))) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) -1) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) -1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 1) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) 1) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5))) (cbrt.f64 (sin.f64 (.f64 x -1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 -1 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 1 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)))) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x -1/2))) (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5)))) (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3/2))
(/.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))) -1) (cos.f64 (.f64 x 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) 3) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 3))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x 1/2)))) (pow.f64 (exp.f64 3) (log.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x -1/2)))) (pow.f64 (exp.f64 3) (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2))))))
(neg.f64 (pow.f64 (tan.f64 (*.f64 x -1/2)) 3))
(neg.f64 (.f64 (tan.f64 (.f64 x -1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(neg.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(neg.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (tan.f64 (*.f64 x -1/2))))
(neg.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(neg.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9))
(exp.f64 (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6)) 1/2))
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9)) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)) (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (pow.f64 (tan.f64 (/.f64 x 2)) 3)) (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(*.f64 1 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
(pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) 1)
(exp.f64 (log.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
(binary32->binary64 (cbrt.f32 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/8)
(+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8))
(fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32))
(+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 11/1920 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8)))
(fma.f64 (pow.f64 x 7) 11/1920 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32)))
(fma.f64 (pow.f64 x 3) 1/8 (fma.f64 (pow.f64 x 5) 1/32 (*.f64 (pow.f64 x 7) 11/1920)))
(+.f64 (.f64 11/12096 (pow.f64 x 9)) (+.f64 (.f64 11/1920 (pow.f64 x 7)) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 11/1920 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/8))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 (pow.f64 x 7) 11/1920 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 5) 1/32))))
(fma.f64 11/12096 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 1/8 (fma.f64 (pow.f64 x 5) 1/32 (*.f64 (pow.f64 x 7) 11/1920))))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(-.f64 0 (tan.f64 (*.f64 x -1/2)))
(neg.f64 (tan.f64 (*.f64 x -1/2)))
(-.f64 (/.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (tan.f64 (.f64 x -1/2)))
(neg.f64 (tan.f64 (*.f64 x -1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)))
(.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) -3)))
(.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1/3))
(.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) -3)))
(.f64 -1 (tan.f64 (.f64 x -1/2)))
(neg.f64 (tan.f64 (*.f64 x -1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1))
(tan.f64 (*.f64 1/2 x))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) -1))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (cos.f64 (*.f64 1/2 x))))
(/.f64 (neg.f64 (sin.f64 (.f64 x -1/2))) (cos.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 x -1/2)) (.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 1))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 -1 (cos.f64 (*.f64 1/2 x))))
(/.f64 (neg.f64 (sin.f64 (.f64 x -1/2))) (cos.f64 (.f64 1/2 x)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/4) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/4) (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/4))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/4) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1/2))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/4) (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/4))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/4) (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/4))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/4)))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/4) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9/4)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/4) 1/3))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/4) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9/4)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9/2) 1/6))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 1/4) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9/2) 1/6))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (cos.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 1 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (cbrt.f64 (cos.f64 (.f64 1/2 x)))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (cos.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2))) 1/3))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (cos.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) (cbrt.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2)) 4))
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(.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 7))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3/2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(/.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x -1/2))) -1) (cos.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (/.f64 (neg.f64 (sin.f64 (.f64 x -1/2))) (cos.f64 (.f64 1/2 x))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) 3) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 3))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (cos.f64 (.f64 1/2 x))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 3)
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x 1/2)))) (pow.f64 (exp.f64 3) (log.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 1/2 x)))) (pow.f64 (exp.f64 3) (log.f64 (cos.f64 (.f64 1/2 x)))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x -1/2)))) (pow.f64 (exp.f64 3) (log.f64 (neg.f64 (cos.f64 (.f64 x 1/2))))))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 (sin.f64 (.f64 x -1/2)))) (pow.f64 (exp.f64 3) (log.f64 (neg.f64 (cos.f64 (.f64 1/2 x))))))
(neg.f64 (pow.f64 (tan.f64 (*.f64 x -1/2)) 3))
(neg.f64 (.f64 (tan.f64 (.f64 x -1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(.f64 (tan.f64 (.f64 x -1/2)) (neg.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)))
(neg.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (cos.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (/.f64 (neg.f64 (sin.f64 (.f64 x -1/2))) (cos.f64 (.f64 1/2 x))))
(neg.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (tan.f64 (*.f64 x -1/2))))
(.f64 (tan.f64 (.f64 x -1/2)) (neg.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)))
(neg.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)) (cos.f64 (.f64 1/2 x))))
(.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (/.f64 (neg.f64 (sin.f64 (.f64 x -1/2))) (cos.f64 (.f64 1/2 x))))
(neg.f64 (/.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (cos.f64 (.f64 1/2 x))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 6))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 3)
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 9))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9))
(exp.f64 (.f64 3 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 6)) 1/2))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 3)
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 9)) 1/3))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 9))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)) (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(cbrt.f64 (.f64 (.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (pow.f64 (tan.f64 (/.f64 x 2)) 3)) (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(*.f64 1 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) 1)
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(exp.f64 (log.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(pow.f64 (tan.f64 (/.f64 x 2)) 3)
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
(binary32->binary64 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
(binary32->binary64 (binary64->binary32 (tan.f64 (/.f64 x 2))))
(binary32->binary64 (cbrt.f32 (pow.f32 (tan.f32 (/.f32 (binary64->binary32 x) 2)) 3)))
(binary32->binary64 (tan.f32 (/.f32 (binary64->binary32 x) 2)))

eval407.0ms (2.3%)

Compiler: Compiled 10256 to 8699 computations (15.2% saved)

prune113.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	619	0	619
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	619	3	622

Accuracy

100.0%

Counts

622 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
✓	73.9%	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))

Compiler

Compiled 54 to 43 computations (20.4% saved)

regimes43.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
(cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (tan.f64 (/.f64 x 2))))

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

Calls

2 calls:

38.0ms	x
3.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 47 to 36 computations (23.4% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
45.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	10	18

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness125.0ms (0.7%)

Rules

614×	`fma-def`
150×	`associate-/r*`
132×	`sub-neg`
126×	`associate-*r/`
120×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	39	37
2	55	33
3	89	33
4	161	33
5	299	33
6	574	33
7	1059	33
8	1305	33
9	1340	33
10	1394	33
11	1455	33
12	1495	33

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess41.0ms (0.2%)

Compiler: Compiled 42 to 32 computations (23.8% saved)

analyze228.0ms (1.3%)

sample14.2s (78.7%)

preprocess274.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize45.0ms (0.2%)

series2.0ms (0%)

rewrite191.0ms (1.1%)

simplify114.0ms (0.6%)

eval116.0ms (0.6%)

prune17.0ms (0.1%)

localize265.0ms (1.5%)

series5.0ms (0%)

rewrite159.0ms (0.9%)

simplify328.0ms (1.8%)

eval603.0ms (3.3%)

prune234.0ms (1.3%)

localize157.0ms (0.9%)

series1.0ms (0%)

rewrite112.0ms (0.6%)

simplify260.0ms (1.4%)

eval407.0ms (2.3%)

prune113.0ms (0.6%)

regimes43.0ms (0.2%)

regimes3.0ms (0%)

simplify7.0ms (0%)

soundness125.0ms (0.7%)

end0.0ms (0%)

preprocess41.0ms (0.2%)

Profiling