Metrics for tanhf (example 3.4)

analyze106.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
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)

sample4.4s (72.6%)

Results

2.3s	2086×	body	2048	valid
1.3s	4545×	body	256	valid
451.0ms	1056×	body	1024	valid
101.0ms	517×	body	512	valid
38.0ms	52×	body	4096	valid

Bogosity

preprocess250.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def`
410×	`div-sub`
196×	`associate-/r*`
176×	`associate-/l*`
118×	`sub-neg`

Problems

119×	No Errors
76×	`(-.f64 1 (cos.f64 x))`
61×	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	44	60
2	69	56
3	143	56
4	326	56
5	734	56
6	1393	56
7	1777	56
8	1858	56
9	1935	56
10	1986	56
11	1998	56

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

Symmetry

(negabs x)

Compiler

Compiled 27 to 16 computations (40.7% saved)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	100.0%	(tan.f64 (/.f64 x 2))
▶	55.3%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize391.0ms (6.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sin.f64 x)
✓	78.1%	(-.f64 1 (cos.f64 x))
✓	77.5%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 28 to 16 computations (42.9% saved)

series4.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

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

rewrite248.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log1p-expm1-u`
833×	`expm1-log1p-u`
772×	`log-prod`
452×	`prod-diff`
342×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	166	50
2	2163	50

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (cos.f64 x))
(sin.f64 x)

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

simplify226.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

866×	`cancel-sign-sub-inv`
844×	`div-sub`
658×	`times-frac`
442×	`fma-neg`
384×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	523	18357
1	1221	12887
2	4929	6223

Stop Event

1×	node limit

Counts

291 → 244

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 1/2 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 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (tan.f64 (*.f64 x 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 (tan.f64 (*.f64 x 1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (*.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
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(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (exp.f64 1)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(pow.f64 (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) 2)))
(neg.f64 (tan.f64 (/.f64 x -2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (exp.f64 1)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 0 (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(*.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) 1)
(*.f64 (sin.f64 x) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 2))
(log1p.f64 (expm1.f64 (sin.f64 x)))

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

eval110.0ms (1.8%)

Compiler: Compiled 4480 to 2515 computations (43.9% saved)

prune44.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	243	3	246

Accuracy

100.0%

Counts

246 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.3%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	48.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
✓	55.3%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	48.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize66.0ms (1.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.3%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	48.4%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 32 to 24 computations (25% saved)

regimes9.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
3.0ms	x

Results

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

Compiler

Compiled 25 to 18 computations (28% saved)

regimes3.0ms (0.1%)

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
48.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	12	24

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)

soundness112.0ms (1.9%)

Rules

750×	`fma-def`
410×	`div-sub`
196×	`associate-/r*`
176×	`associate-/l*`
118×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	44	60
2	69	56
3	143	56
4	326	56
5	734	56
6	1393	56
7	1777	56
8	1858	56
9	1935	56
10	1986	56
11	1998	56

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess63.0ms (1.1%)

Remove: (negabs x)
Compiler: Compiled 72 to 56 computations (22.2% saved)

analyze106.0ms (1.8%)

sample4.4s (72.6%)

preprocess250.0ms (4.2%)

eval0.0ms (0%)

prune2.0ms (0%)

localize391.0ms (6.5%)

series4.0ms (0.1%)

rewrite248.0ms (4.1%)

simplify226.0ms (3.8%)

eval110.0ms (1.8%)

prune44.0ms (0.7%)

localize66.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness112.0ms (1.9%)

end0.0ms (0%)

preprocess63.0ms (1.1%)

Profiling