Metrics for tanhf (example 3.4)

analyze166.0ms (2.4%)

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)

sample5.0s (72.4%)

Results

2.9s	2094×	body	2048	valid
1.3s	3074×	body	1024	valid
412.0ms	1591×	body	512	valid
222.0ms	1387×	body	256	valid
112.0ms	110×	body	4096	valid

Bogosity

preprocess289.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-def`
316×	`div-sub`
264×	`times-frac`
188×	`associate-/r*`
134×	`sub-neg`

Problems

108×	No Errors
89×	`(-.f64 1 (cos.f64 x))`
59×	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	36	46
2	52	42
3	86	42
4	158	42
5	295	42
6	609	42
7	1293	42
8	1712	42
9	1793	42
10	1848	42
11	1929	42
12	1969	42

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

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
▶	54.2%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	100.0%	(tan.f64 (/.f64 x 2))
▶	54.2%	(/.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)

localize281.0ms (4.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(cos.f64 x)
✓	78.5%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	76.1%	(-.f64 1 (cos.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))
0.0ms	x	@	-inf	(tan.f64 (/.f64 x 2))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms	x	@	0	(-.f64 1 (cos.f64 x))
0.0ms	x	@	0	(tan.f64 (/.f64 x 2))

rewrite191.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`log1p-expm1-u`
834×	`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	163	50
2	2160	50

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

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

simplify186.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1006×	`cancel-sign-sub-inv`
598×	`div-sub`
550×	`fma-neg`
398×	`associate-/l*`
354×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	20337
1	1245	15227
2	4386	7599

Stop Event

1×	node limit

Counts

294 → 251

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

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 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3))))
(+.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 1/240 (pow.f64 x 5) (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 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/24 (pow.f64 x 4)))
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(tan.f64 (*.f64 1/2 x))
(pow.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))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 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))
(pow.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))
(pow.f64 (/.f64 1 (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))
(pow.f64 (/.f64 (/.f64 1 (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))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) 2)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))) (fma.f64 (/.f64 -1 (sin.f64 x)) (cos.f64 x) (/.f64 (cos.f64 x) (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 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) 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 0 (cos.f64 x))
(cos.f64 x)
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(fma.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(cos.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) 1) 1))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(cos.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) 3) 1/3))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(fma.f64 1 (+.f64 1 (cos.f64 x)) -1)
(cos.f64 x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))) -1)
(cos.f64 x)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))) -1)
(cos.f64 x)

eval150.0ms (2.2%)

Compiler: Compiled 4711 to 2613 computations (44.5% saved)

prune30.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	249	2	251
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	250	3	253

Accuracy

100.0%

Counts

253 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
▶	50.2%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	99.4%	(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
▶	50.2%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize70.0ms (1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 x)
✓	99.8%	(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
✓	99.4%	(+.f64 1 (cos.f64 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`unpow-prod-down`
625×	`log1p-expm1-u`
624×	`expm1-log1p-u`
592×	`log-prod`
478×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	126	28
2	1660	28

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(+.f64 1 (cos.f64 x))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-/r*`
938×	`fma-def`
908×	`associate-/l*`
644×	`associate-*r/`
564×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3361
1	768	3096
2	2301	2788

Stop Event

1×	node limit

Counts

117 → 167

Calls

Call 1

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

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/24 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
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(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))) 2) -1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 2)))
(/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) -1) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) -1))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(tan.f64 (/.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) -1/2)) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) -1))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(tan.f64 (/.f64 x 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) -1))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(tan.f64 (/.f64 x 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) -1))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(tan.f64 (/.f64 x 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) -1))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(tan.f64 (/.f64 x 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) -1))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(tan.f64 (/.f64 x 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) -1))
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(tan.f64 (/.f64 x 2))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(tan.f64 (*.f64 x 1/2))
(neg.f64 (/.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 x 1/2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 x 1/2))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) -1))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(tan.f64 (*.f64 x 1/2))

eval109.0ms (1.6%)

Compiler: Compiled 2905 to 1926 computations (33.7% saved)

prune26.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	214	3	217

Accuracy

100.0%

Counts

217 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
✓	50.2%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes20.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
4.0ms	x

Results

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

Compiler

Compiled 32 to 21 computations (34.4% 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
50.2%	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)

soundness101.0ms (1.5%)

Rules

924×	`fma-def`
316×	`div-sub`
264×	`times-frac`
188×	`associate-/r*`
134×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	36	46
2	52	42
3	86	42
4	158	42
5	295	42
6	609	42
7	1293	42
8	1712	42
9	1793	42
10	1848	42
11	1929	42
12	1969	42

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess129.0ms (1.9%)

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

analyze166.0ms (2.4%)

sample5.0s (72.4%)

preprocess289.0ms (4.2%)

eval0.0ms (0%)

prune2.0ms (0%)

localize281.0ms (4.1%)

series4.0ms (0.1%)

rewrite191.0ms (2.8%)

simplify186.0ms (2.7%)

eval150.0ms (2.2%)

prune30.0ms (0.4%)

localize70.0ms (1%)

series2.0ms (0%)

rewrite70.0ms (1%)

simplify65.0ms (0.9%)

eval109.0ms (1.6%)

prune26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes3.0ms (0%)

simplify2.0ms (0%)

soundness101.0ms (1.5%)

end0.0ms (0%)

preprocess129.0ms (1.9%)

Profiling