Metrics for tanhf (example 3.4)

analyze123.0ms (2.1%)

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)

sample3.4s (56.8%)

Results

2.4s	3674×	body	512	valid
921.0ms	4573×	body	256	valid
5.0ms	3×	body	4096	valid
2.0ms	2×	body	2048	valid
2.0ms	4×	body	1024	valid

Bogosity

preprocess182.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

115×	No Errors
92×	`(-.f64 1 (cos.f64 x))`
49×	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	41	60
2	66	56
3	140	56
4	323	56
5	730	56
6	1382	56
7	1766	56
8	1847	56
9	1924	56
10	1975	56
11	1987	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 17 computations (37% 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
▶	57.6%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	100.0%	(tan.f64 (/.f64 x 2))
▶	57.6%	(/.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)

localize125.0ms (2.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	82.2%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	76.0%	(-.f64 1 (cos.f64 x))
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 28 to 17 computations (39.3% saved)

series12.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(-.f64 1 (cos.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	@	-inf	(tan.f64 (/.f64 x 2))
0.0ms	x	@	0	(tan.f64 (/.f64 x 2))

rewrite151.0ms (2.5%)

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	42
1	163	42
2	2160	42

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

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

simplify141.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1102×	`unswap-sqr`
570×	`cancel-sign-sub-inv`
548×	`div-sub`
446×	`distribute-lft-neg-in`
426×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	20290
1	1110	14759
2	3848	7131

Stop Event

1×	node limit

Counts

259 → 204

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)))
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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 (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))))

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)))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 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 (.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)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6)))))
(*.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 (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 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))
(+.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 (tan.f64 (*.f64 1/2 x)) (fma.f64 (/.f64 (neg.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 (tan.f64 (.f64 1/2 x)) (-.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))))
(+.f64 0 (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))
(+.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 (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 (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (tan.f64 x)))
(+.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))))
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(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)))

eval65.0ms (1.1%)

Compiler: Compiled 4077 to 2237 computations (45.1% saved)

prune24.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	203	3	206

Accuracy

100.0%

Counts

206 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
▶	46.3%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	99.8%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
▶	46.3%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize55.0ms (0.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(tan.f64 (*.f64 x 1/2))
✓	99.8%	(/.f64 1 (tan.f64 (*.f64 x 1/2)))
✓	99.7%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`unpow-prod-down`
452×	`log-prod`
444×	`cbrt-prod`
413×	`log1p-expm1-u`
413×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	123	48
2	1248	48

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

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

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1312×	`fma-def`
1160×	`unswap-sqr`
930×	`associate-*r/`
738×	`associate-*l/`
494×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	5631
1	606	5466
2	1791	5394

Stop Event

1×	node limit

Counts

192 → 162

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 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/6 x) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/6 x) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.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 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (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 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (E.f64)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 -1 (neg.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 1 1/3) (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) -1) (/.f64 1 (cos.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 (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 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) -3)
(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 (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 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) -2)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) (pow.f64 (tan.f64 (.f64 x 1/2)) -3/2)))
(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 (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))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(+.f64 0 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))))
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 1)
(.f64 1 (/.f64 1 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 1)
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (log.f64 (E.f64)))
(.f64 -1 (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (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) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) 3))
(.f64 (pow.f64 1 1/3) (/.f64 1 (tan.f64 (.f64 x 1/2))))
(.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) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -2)) 1/3) (/.f64 1 (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 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -5/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) -1)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(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 (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 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) 2)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -3/2) (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (.f64 (neg.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 (.f64 -1/2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(+.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 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (E.f64)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 -1 (neg.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 1 1/3) (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) -1) (/.f64 1 (cos.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 (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 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 -1 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -1)
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (exp.f64 (log.f64 -1)) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) -1)) (cbrt.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) -3)
(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 (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 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) -2)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) -1)
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) (pow.f64 (tan.f64 (.f64 x 1/2)) -3/2)))
(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 (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))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/6 x (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (.f64 -1/6 x) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/6 x (fma.f64 -1/360 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/6 (fma.f64 (pow.f64 x 3) -1/360 (/.f64 2 x)))
(+.f64 (.f64 -1/6 x) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(fma.f64 -1/6 x (fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/15120 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/6 (fma.f64 (pow.f64 x 3) -1/360 (fma.f64 (pow.f64 x 5) -1/15120 (/.f64 2 x))))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.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 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (E.f64)))
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 -1 (neg.f64 (tan.f64 (.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 1 1/3) (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) -1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.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))
(tan.f64 (*.f64 1/2 x))
(.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 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3/2)))
(.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 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.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 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))) -3)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2) -1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -2) -1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3) -1/3)
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3) -1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3) -1/6))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) -2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) -1)
(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)))
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) (pow.f64 (tan.f64 (.f64 x 1/2)) -3/2)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/2) (pow.f64 (tan.f64 (.f64 1/2 x)) -3/2)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(tan.f64 (*.f64 x 1/2))
(tan.f64 (*.f64 1/2 x))
(+.f64 0 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 1/2 x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 (.f64 1/2 x)))))))
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 1 (/.f64 1 (tan.f64 (.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 1)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) (log.f64 (E.f64)))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 -1 (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -2))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) -1))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) 3))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (tan.f64 (.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(.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 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3))))
(.f64 (cbrt.f64 (fabs.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3/2))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3/2)))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) -2))) (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -5/2) 1/3) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2)))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -5/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -1/2)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3))))
(.f64 (cbrt.f64 (fabs.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3/2))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) -2))) (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -5/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2)))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -5/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) -1)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -3)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2) 1/2)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3) 1/3)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -1/2)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) -1/3)
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) -1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3) -1/6))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) 2)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -2)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (E.f64) (neg.f64 (log.f64 (tan.f64 (*.f64 1/2 x)))))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) -1)
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 -1) (log.f64 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 1/2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (tan.f64 (.f64 1/2 x))))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -3/2) (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3/2) (pow.f64 (tan.f64 (.f64 1/2 x)) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) 3))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -3)) 1/3))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.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 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) (log.f64 (E.f64)))
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.f64 -1 (neg.f64 (tan.f64 (.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 1 1/3) (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) -1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(.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))
(tan.f64 (*.f64 1/2 x))
(.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 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3/2)))
(.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 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.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 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(/.f64 1 (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 -1 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2))
(tan.f64 (*.f64 1/2 x))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 1/2 x))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (exp.f64 (log.f64 -1)) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) (cbrt.f64 (cos.f64 (.f64 1/2 x))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) -1)) (cbrt.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (.f64 -1 (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) (cbrt.f64 (/.f64 -1 (tan.f64 (*.f64 1/2 x)))))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) (cbrt.f64 (/.f64 -1 (tan.f64 (.f64 1/2 x)))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))) -3)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2) -1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -2) -1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3) -1/3)
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) -3) -1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) -3) -1/6))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) -2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) -1)
(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)))
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (cos.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3/2) (pow.f64 (tan.f64 (.f64 x 1/2)) -3/2)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3/2) (pow.f64 (tan.f64 (.f64 1/2 x)) -3/2)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 2))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))

eval66.0ms (1.1%)

Compiler: Compiled 2119 to 1842 computations (13.1% saved)

prune21.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	160	5	165

Accuracy

100.0%

Counts

165 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(/.f64 1 (/.f64 2 x))
✓	99.8%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
▶	46.6%	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
✓	46.3%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
▶	46.1%	(/.f64 1 (/.f64 2 x))
✓	99.8%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
▶	46.6%	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
✓	46.3%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize54.0ms (0.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 1 (/.f64 2 x))
✓	100.0%	(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
✓	99.6%	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
✓	99.5%	(*.f64 -1/6 x)

Compiler

Compiled 48 to 37 computations (22.9% saved)

series4.0ms (0.1%)

Counts

4 → 27

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	0	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	-inf	(*.f64 -1/6 x)

rewrite81.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log-prod`
838×	`log1p-expm1-u`
838×	`expm1-log1p-u`
544×	`fma-def`
470×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	210	68
2	2554	68

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(*.f64 -1/6 x)
(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(/.f64 1 (/.f64 2 x))

Outputs
(+.f64 0 (*.f64 -1/6 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/6) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 x))) 1)
(pow.f64 (*.f64 -1/6 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 x))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 x)))
(exp.f64 (log.f64 (*.f64 -1/6 x)))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/6 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 x)) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/6 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/6 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 x)))
(+.f64 0 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))
(*.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(*.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2) (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (*.f64 (pow.f64 x 2) 1/36)))
(.f64 (/.f64 1 (-.f64 (.f64 (pow.f64 x 2) 1/36) (*.f64 (pow.f64 x -2) 4))) (fma.f64 -1/6 x (/.f64 -2 x)))
(pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 -1/6 x (/.f64 2 x)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/36) (fma.f64 -1/6 x (/.f64 -2 x))) (/.f64 (.f64 (pow.f64 x -2) 4) (fma.f64 -1/6 x (/.f64 -2 x))))
(*.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/6 x (/.f64 2 x)) 1)
(*.f64 (fma.f64 -1/6 x (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (*.f64 (pow.f64 x 2) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (fma.f64 -1/6 x (/.f64 -2 x))))
(/.f64 1 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36)) (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 x (/.f64 -2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))))
(/.f64 (fma.f64 -1/6 x (/.f64 2 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(/.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2))
(/.f64 (neg.f64 (fma.f64 -1/6 x (/.f64 2 x))) -1)
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 -1/6 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4)) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))) (neg.f64 (fma.f64 -1/6 x (/.f64 -2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x -2) 4) (.f64 (pow.f64 x 2) 1/36)) (-.f64 (/.f64 2 x) (*.f64 -1/6 x)))
(pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36)) (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 x (/.f64 -2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (.f64 -1/6 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/6) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 -1/6 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(fma.f64 -1/6 x (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (*.f64 -1/6 x) 1 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/6 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/6 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/6 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/6 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/6 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/6) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/6 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/6 x))
(fma.f64 (cbrt.f64 (.f64 -1/6 x)) (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 2) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 2) (cbrt.f64 (.f64 -1/6 x)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 2) (.f64 -1/6 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/6) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/6 x))
(fma.f64 (sqrt.f64 (.f64 -1/6 x)) (sqrt.f64 (.f64 -1/6 x)) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 2) (.f64 -1/6 x))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/6 x))
(fma.f64 (.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (.f64 -1/6 x))
(fma.f64 (.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 -1/6 x))
(fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/6 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 0 (*.f64 x 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)
(*.f64 x 1/2)
(*.f64 x (log.f64 (exp.f64 1/2)))
(.f64 1 (.f64 x 1/2))
(*.f64 -1 (/.f64 1 (/.f64 -2 x)))
(.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) 1)
(.f64 (.f64 x 1/2) (log.f64 (exp.f64 1)))
(*.f64 1/2 x)
(*.f64 -1/2 (neg.f64 x))
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 2 x) -1)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(pow.f64 (*.f64 x 1/2) 1)
(pow.f64 (neg.f64 (/.f64 -2 x)) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))
(exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 x)) 1) -1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/2))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 x)) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/2)) 1) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

888×	`associate-*r/`
586×	`log-prod`
516×	`cancel-sign-sub-inv`
482×	`associate-+r+`
400×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	4993
1	923	4803
2	2988	4651

Stop Event

1×	node limit

Counts

193 → 217

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/288 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 1/3456 (pow.f64 x 7)) (+.f64 (.f64 1/288 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (.f64 6 (/.f64 1 x))))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (.f64 6 (/.f64 1 x))))))
(/.f64 2 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 0 (*.f64 -1/6 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/6) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 x))) 1)
(pow.f64 (*.f64 -1/6 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 x))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 x)))
(exp.f64 (log.f64 (*.f64 -1/6 x)))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/6 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 x)) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/6 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/6 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 x)))
(+.f64 0 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))
(*.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(*.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2) (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (*.f64 (pow.f64 x 2) 1/36)))
(.f64 (/.f64 1 (-.f64 (.f64 (pow.f64 x 2) 1/36) (*.f64 (pow.f64 x -2) 4))) (fma.f64 -1/6 x (/.f64 -2 x)))
(pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 -1/6 x (/.f64 2 x)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/36) (fma.f64 -1/6 x (/.f64 -2 x))) (/.f64 (.f64 (pow.f64 x -2) 4) (fma.f64 -1/6 x (/.f64 -2 x))))
(*.f64 1 (fma.f64 -1/6 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/6 x (/.f64 2 x)) 1)
(*.f64 (fma.f64 -1/6 x (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (*.f64 (pow.f64 x 2) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (fma.f64 -1/6 x (/.f64 -2 x))))
(/.f64 1 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36)) (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 x (/.f64 -2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))))
(/.f64 (fma.f64 -1/6 x (/.f64 2 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(/.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) -1/2))
(/.f64 (neg.f64 (fma.f64 -1/6 x (/.f64 2 x))) -1)
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 -1/6 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4)) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))) (neg.f64 (fma.f64 -1/6 x (/.f64 -2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x -2) 4) (.f64 (pow.f64 x 2) 1/36)) (-.f64 (/.f64 2 x) (*.f64 -1/6 x)))
(pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36)) (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 x (/.f64 -2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (.f64 -1/6 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/6) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 -1/6 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(fma.f64 -1/6 x (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (*.f64 -1/6 x) 1 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/6 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/6 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/6 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/6 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/6 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/6) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/6 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/6 x))
(fma.f64 (cbrt.f64 (.f64 -1/6 x)) (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 2) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 2) (cbrt.f64 (.f64 -1/6 x)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 2) (.f64 -1/6 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/6) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/6 x))
(fma.f64 (sqrt.f64 (.f64 -1/6 x)) (sqrt.f64 (.f64 -1/6 x)) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 2) (.f64 -1/6 x))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/6 x))
(fma.f64 (.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (.f64 -1/6 x))
(fma.f64 (.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 -1/6 x))
(fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/6 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 0 (*.f64 x 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)
(*.f64 x 1/2)
(*.f64 x (log.f64 (exp.f64 1/2)))
(.f64 1 (.f64 x 1/2))
(*.f64 -1 (/.f64 1 (/.f64 -2 x)))
(.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) 1)
(.f64 (.f64 x 1/2) (log.f64 (exp.f64 1)))
(*.f64 1/2 x)
(*.f64 -1/2 (neg.f64 x))
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 2 x) -1)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(pow.f64 (*.f64 x 1/2) 1)
(pow.f64 (neg.f64 (/.f64 -2 x)) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))
(exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 x)) 1) -1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/2))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 x)) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/2)) 1) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/288 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/288 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/288 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/3456 (pow.f64 x 7)) (+.f64 (.f64 1/288 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 1/3456 (pow.f64 x 7) (fma.f64 1/288 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 1/3456 (pow.f64 x 7) (fma.f64 1/288 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 6 x) (/.f64 72 (pow.f64 x 3))))
(+.f64 (/.f64 -72 (pow.f64 x 3)) (/.f64 -6 x))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 864 (pow.f64 x 5))) (/.f64 6 x)))
(-.f64 (/.f64 -72 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (/.f64 864 (pow.f64 x 5))))
(+.f64 (/.f64 -72 (pow.f64 x 3)) (+.f64 (/.f64 -6 x) (/.f64 -864 (pow.f64 x 5))))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 7))) (.f64 6 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 864 (pow.f64 x 5))) (+.f64 (/.f64 6 x) (/.f64 10368 (pow.f64 x 7)))))
(-.f64 (/.f64 -72 (pow.f64 x 3)) (+.f64 (/.f64 864 (pow.f64 x 5)) (+.f64 (/.f64 6 x) (/.f64 10368 (pow.f64 x 7)))))
(+.f64 (/.f64 -72 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -6 x) (/.f64 -864 (pow.f64 x 5))) (/.f64 10368 (pow.f64 x 7))))
(/.f64 -6 x)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 6 x) (/.f64 72 (pow.f64 x 3))))
(+.f64 (/.f64 -72 (pow.f64 x 3)) (/.f64 -6 x))
(neg.f64 (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (*.f64 6 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 864 (pow.f64 x 5))) (/.f64 6 x)))
(-.f64 (/.f64 -72 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (/.f64 864 (pow.f64 x 5))))
(+.f64 (/.f64 -72 (pow.f64 x 3)) (+.f64 (/.f64 -6 x) (/.f64 -864 (pow.f64 x 5))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36))))
(.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (.f64 1/6 x)) (*.f64 (pow.f64 x 2) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6)) (.f64 (pow.f64 x 2) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (.f64 x (-.f64 (.f64 x 1/36) (/.f64 -1/3 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))) (neg.f64 (fma.f64 -1/6 x (/.f64 -2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4)) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/6 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/36 (*.f64 (pow.f64 x -2) 4)) (fma.f64 x 1/6 (/.f64 2 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x -2) 4) (.f64 (pow.f64 x 2) 1/36)) (-.f64 (/.f64 2 x) (*.f64 -1/6 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4)) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/6 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/36 (*.f64 (pow.f64 x -2) 4)) (fma.f64 x 1/6 (/.f64 2 x)))
(pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 1)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (/.f64 1 (fma.f64 -1/6 x (/.f64 2 x))) -1)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 3)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 3) 1/3)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x))) 2)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/6 x)) (.f64 (pow.f64 x 2) 1/36)) (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3))) -1)
(.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (.f64 1/6 x)) (*.f64 (pow.f64 x 2) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6)) (.f64 (pow.f64 x 2) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (.f64 x (-.f64 (.f64 x 1/36) (/.f64 -1/3 x)))))
(pow.f64 (/.f64 (fma.f64 -1/6 x (/.f64 -2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4))) -1)
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x -2) 4)) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/6 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/36 (*.f64 (pow.f64 x -2) 4)) (fma.f64 x 1/6 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 2))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (exp.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x (/.f64 2 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 x))) (exp.f64 (/.f64 2 x))))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (.f64 -1/6 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/6) x)))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 -1/6 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 x (/.f64 2 x)) 3))
(fma.f64 x -1/6 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(fma.f64 x -1/6 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(fma.f64 x -1/6 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1))
(fma.f64 x -1/6 (/.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 x (/.f64 2 x))) 1) 1))
(fma.f64 x -1/6 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 3))
(fma.f64 x -1/6 (/.f64 2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 1/3))
(fma.f64 x -1/6 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 x (/.f64 2 x)))) 2))
(fma.f64 x -1/6 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 x (/.f64 2 x))))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 -1/6 x (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (*.f64 -1/6 x) 1 (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/6 x) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/6) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 -1/6 x)) (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 2) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 2) (cbrt.f64 (.f64 -1/6 x)) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 2) (.f64 -1/6 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (*.f64 x -1/6))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/6) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 -1/6 x)) (sqrt.f64 (.f64 -1/6 x)) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 2) (.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (.f64 -1/6 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (*.f64 x -1/6))
(fma.f64 (.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (*.f64 -1/6 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 0 (*.f64 x 1/2))
(*.f64 1/2 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))))
(*.f64 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x (log.f64 (exp.f64 1/2)))
(*.f64 1/2 x)
(.f64 1 (.f64 x 1/2))
(*.f64 1/2 x)
(*.f64 -1 (/.f64 1 (/.f64 -2 x)))
(*.f64 1/2 x)
(.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(.f64 (.f64 x 1/2) 1)
(*.f64 1/2 x)
(.f64 (.f64 x 1/2) (log.f64 (exp.f64 1)))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 -1/2 (neg.f64 x))
(*.f64 1/2 x)
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 x)
(.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 x)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (.f64 x 1/2)))
(/.f64 (.f64 1 (cbrt.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))
(/.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))
(pow.f64 (/.f64 2 x) -1)
(*.f64 1/2 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)
(*.f64 1/2 x)
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)
(*.f64 1/2 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(*.f64 1/2 x)
(pow.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(pow.f64 (neg.f64 (/.f64 -2 x)) -1)
(*.f64 1/2 x)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 2)))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/4))
(fabs.f64 (*.f64 1/2 x))
(log.f64 (pow.f64 (exp.f64 1/2) x))
(*.f64 1/2 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))))
(*.f64 1/2 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(*.f64 1/2 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(exp.f64 (log.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(exp.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))
(*.f64 1/2 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 1))
(*.f64 1/2 x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 x)) 1) -1))
(*.f64 1/2 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/2))) 3))
(*.f64 1/2 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/2))) 1/3))
(*.f64 1/2 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/2))) 2))
(*.f64 1/2 x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 x)) -1) 1))
(*.f64 1/2 x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/2)) 1) 1))
(*.f64 1/2 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)

eval69.0ms (1.2%)

Compiler: Compiled 2999 to 2436 computations (18.8% saved)

prune36.0ms (0.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	215	7	222

Accuracy

100.0%

Counts

222 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.1%	(/.f64 1 (/.f64 2 x))
✓	99.8%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
✓	46.6%	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
▶	2.7%	(/.f64 1 (*.f64 x -1/6))
▶	2.7%	(/.f64 -6 x)
✓	46.3%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))
✓	46.1%	(/.f64 1 (/.f64 2 x))
✓	99.8%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
✓	46.6%	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
▶	2.7%	(/.f64 1 (*.f64 x -1/6))
▶	2.7%	(/.f64 -6 x)
✓	46.3%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 92 to 76 computations (17.4% saved)

localize28.0ms (0.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (*.f64 x -1/6))
✓	99.5%	(*.f64 x -1/6)

Compiler

Compiled 18 to 13 computations (27.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (*.f64 x -1/6))
0.0ms	x	@	inf	(/.f64 1 (*.f64 x -1/6))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 x -1/6))
0.0ms	x	@	0	(*.f64 x -1/6)
0.0ms	x	@	inf	(*.f64 x -1/6)

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`frac-times`
550×	`unpow-prod-down`
342×	`log-prod`
340×	`cbrt-prod`
302×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	76	20
2	901	20

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(*.f64 x -1/6)
(/.f64 1 (*.f64 x -1/6))

Outputs
(+.f64 0 (*.f64 x -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) -1/12)) (log.f64 (pow.f64 (exp.f64 x) -1/12)))
(-.f64 0 (*.f64 x -1/6))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(/.f64 x -6)
(/.f64 -1/6 (/.f64 1 x))
(/.f64 (*.f64 x -1/6) 1)
(/.f64 (*.f64 x -1/6) -1)
(/.f64 1 (*.f64 x -1/6))
(/.f64 -1 (*.f64 x -1/6))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (cbrt.f64 (.f64 x -1/6)))
(/.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 (.f64 x -1/6)))
(/.f64 (/.f64 1 x) -1/6)
(/.f64 (/.f64 1 x) 1/6)
(/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 -1/6) 3))
(/.f64 (/.f64 1 x) (exp.f64 (log.f64 -1/6)))
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 -1/6) (sqrt.f64 -1/6)))
(/.f64 -6 x)
(/.f64 (sqrt.f64 -1) (*.f64 x -1/6))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 -1/6 (.f64 x -1/6))))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 (.f64 x -1/6) -1/6)))
(/.f64 (pow.f64 x -1/2) (.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 -1/6)))
(/.f64 (neg.f64 (/.f64 1 x)) 1/6)
(/.f64 (exp.f64 (log.f64 -1)) (*.f64 x -1/6))
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 1/36) -1)) (cbrt.f64 (*.f64 x -1/6)))
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 1/36) (/.f64 1 x))) (cbrt.f64 -1/6))
(/.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (.f64 x -1/6))
(/.f64 (pow.f64 (cbrt.f64 -1) 3) (*.f64 x -1/6))
(/.f64 (sqrt.f64 (.f64 -1 (/.f64 1 x))) (sqrt.f64 (.f64 (*.f64 x -1/6) -1/6)))
(/.f64 (sqrt.f64 (.f64 (/.f64 1 x) -1)) (sqrt.f64 (.f64 -1/6 (*.f64 x -1/6))))
(/.f64 (sqrt.f64 (.f64 (.f64 x -1/6) -1)) (sqrt.f64 (*.f64 x -1/6)))
(/.f64 (sqrt.f64 (/.f64 -6 (pow.f64 x 2))) (sqrt.f64 -1/6))
(/.f64 (.f64 (pow.f64 x -1/2) 1) (.f64 (sqrt.f64 -1/6) (sqrt.f64 (*.f64 x -1/6))))
(/.f64 (.f64 (sqrt.f64 -1) 1) (.f64 x -1/6))
(/.f64 (.f64 1 (sqrt.f64 -1)) (.f64 x -1/6))
(/.f64 (.f64 (sqrt.f64 -1) (pow.f64 x -1/2)) (.f64 (sqrt.f64 (*.f64 x -1/6)) (sqrt.f64 -1/6)))
(/.f64 (.f64 (pow.f64 x -1/2) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1/6) (sqrt.f64 (*.f64 x -1/6))))
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (*.f64 x -1/6) -1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) -3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) -1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) -1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) -2)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x -1/6)) 2))) (cbrt.f64 (log.f64 (.f64 x -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -1/6)))) (sqrt.f64 (log.f64 (.f64 x -1/6))))
(neg.f64 (*.f64 x -1/6))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(fabs.f64 (*.f64 x -1/6))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -1/6))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x -1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(+.f64 0 (*.f64 x -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) -1/12)) (log.f64 (pow.f64 (exp.f64 x) -1/12)))
(-.f64 0 (*.f64 x -1/6))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(*.f64 x -1/6)
(*.f64 x 1/6)
(*.f64 x (log.f64 (exp.f64 -1/6)))
(*.f64 x (pow.f64 (cbrt.f64 -1/6) 3))
(*.f64 x (pow.f64 (sqrt.f64 -1/6) 2))
(*.f64 x (exp.f64 (log.f64 -1/6)))
(*.f64 -1/6 x)
(*.f64 -1/6 (neg.f64 x))
(.f64 (.f64 x -1/6) 1)
(.f64 (.f64 x -1/6) (log.f64 (E.f64)))
(.f64 1 (.f64 x -1/6))
(.f64 -1 (.f64 x -1/6))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1/6))
(.f64 (cbrt.f64 (.f64 x -1/6)) (pow.f64 (cbrt.f64 (*.f64 x -1/6)) -2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (cbrt.f64 (*.f64 x -1/6)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (neg.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/6))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 -1/6 (*.f64 x -1/6))))
(.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 (*.f64 x -1/6)))
(.f64 (sqrt.f64 (.f64 x -1/6)) (neg.f64 (sqrt.f64 (*.f64 x -1/6))))
(*.f64 (/.f64 1 x) -6)
(*.f64 -6 (/.f64 1 x))
(.f64 (sqrt.f64 -1/6) (sqrt.f64 (.f64 x (*.f64 x -1/6))))
(.f64 (pow.f64 (.f64 x -1/6) -1/4) (sqrt.f64 (pow.f64 (*.f64 x -1/6) 3/2)))
(.f64 (pow.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 x) -1/6) -1))
(*.f64 1/6 x)
(*.f64 (neg.f64 x) -1/6)
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2)) (cbrt.f64 (*.f64 x -1/6)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x -1/6))) (sqrt.f64 (*.f64 x -1/6)))
(.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 -1/6 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (.f64 (cbrt.f64 x) -1/6) -1))
(.f64 (pow.f64 1 1/3) (.f64 x -1/6))
(.f64 (pow.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))
(.f64 (pow.f64 (.f64 -1/6 (sqrt.f64 x)) -1) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 -1/6) 3) x)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) x) 1/3) (cbrt.f64 -1/6))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) -1/6) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (.f64 x -1/6))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (pow.f64 (pow.f64 (.f64 x -1/6) -5/2) 1/3) (pow.f64 (*.f64 x -1/6) 1/6))
(*.f64 (pow.f64 (sqrt.f64 -1/6) 2) x)
(*.f64 (exp.f64 (log.f64 -1/6)) x)
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) x)) (cbrt.f64 -1/6))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) -1/6)) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (.f64 x -1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x -1/6) -5/2)) (pow.f64 (*.f64 x -1/6) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 x -1/6) 3/2)) (pow.f64 (*.f64 x -1/6) -1/4))
(.f64 (sqrt.f64 (.f64 (*.f64 x -1/6) -1/6)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x -1/6) x)) (sqrt.f64 -1/6))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) 5)) (pow.f64 (*.f64 x -1/6) 1/6))
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (*.f64 x -1/6) -1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) -3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) -1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) -1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) -2)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x -1/6)) 2))) (cbrt.f64 (log.f64 (.f64 x -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -1/6)))) (sqrt.f64 (log.f64 (.f64 x -1/6))))
(neg.f64 (*.f64 x -1/6))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(fabs.f64 (*.f64 x -1/6))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -1/6))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x -1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1006×	`times-frac`
720×	`associate-/l*`
632×	`log-prod`
588×	`associate-/r*`
478×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2753
1	546	2645
2	1428	2621
3	5832	2621

Stop Event

1×	node limit

Counts

167 → 148

Calls

Call 1

Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(+.f64 0 (*.f64 x -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) -1/12)) (log.f64 (pow.f64 (exp.f64 x) -1/12)))
(-.f64 0 (*.f64 x -1/6))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(/.f64 x -6)
(/.f64 -1/6 (/.f64 1 x))
(/.f64 (*.f64 x -1/6) 1)
(/.f64 (*.f64 x -1/6) -1)
(/.f64 1 (*.f64 x -1/6))
(/.f64 -1 (*.f64 x -1/6))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (cbrt.f64 (.f64 x -1/6)))
(/.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 (.f64 x -1/6)))
(/.f64 (/.f64 1 x) -1/6)
(/.f64 (/.f64 1 x) 1/6)
(/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 -1/6) 3))
(/.f64 (/.f64 1 x) (exp.f64 (log.f64 -1/6)))
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 -1/6) (sqrt.f64 -1/6)))
(/.f64 -6 x)
(/.f64 (sqrt.f64 -1) (*.f64 x -1/6))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 -1/6 (.f64 x -1/6))))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 (.f64 x -1/6) -1/6)))
(/.f64 (pow.f64 x -1/2) (.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 -1/6)))
(/.f64 (neg.f64 (/.f64 1 x)) 1/6)
(/.f64 (exp.f64 (log.f64 -1)) (*.f64 x -1/6))
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 1/36) -1)) (cbrt.f64 (*.f64 x -1/6)))
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 1/36) (/.f64 1 x))) (cbrt.f64 -1/6))
(/.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (.f64 x -1/6))
(/.f64 (pow.f64 (cbrt.f64 -1) 3) (*.f64 x -1/6))
(/.f64 (sqrt.f64 (.f64 -1 (/.f64 1 x))) (sqrt.f64 (.f64 (*.f64 x -1/6) -1/6)))
(/.f64 (sqrt.f64 (.f64 (/.f64 1 x) -1)) (sqrt.f64 (.f64 -1/6 (*.f64 x -1/6))))
(/.f64 (sqrt.f64 (.f64 (.f64 x -1/6) -1)) (sqrt.f64 (*.f64 x -1/6)))
(/.f64 (sqrt.f64 (/.f64 -6 (pow.f64 x 2))) (sqrt.f64 -1/6))
(/.f64 (.f64 (pow.f64 x -1/2) 1) (.f64 (sqrt.f64 -1/6) (sqrt.f64 (*.f64 x -1/6))))
(/.f64 (.f64 (sqrt.f64 -1) 1) (.f64 x -1/6))
(/.f64 (.f64 1 (sqrt.f64 -1)) (.f64 x -1/6))
(/.f64 (.f64 (sqrt.f64 -1) (pow.f64 x -1/2)) (.f64 (sqrt.f64 (*.f64 x -1/6)) (sqrt.f64 -1/6)))
(/.f64 (.f64 (pow.f64 x -1/2) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1/6) (sqrt.f64 (*.f64 x -1/6))))
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (*.f64 x -1/6) -1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) -3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) -1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) -1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) -2)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x -1/6)) 2))) (cbrt.f64 (log.f64 (.f64 x -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -1/6)))) (sqrt.f64 (log.f64 (.f64 x -1/6))))
(neg.f64 (*.f64 x -1/6))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(fabs.f64 (*.f64 x -1/6))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -1/6))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x -1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(+.f64 0 (*.f64 x -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) -1/12)) (log.f64 (pow.f64 (exp.f64 x) -1/12)))
(-.f64 0 (*.f64 x -1/6))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(*.f64 x -1/6)
(*.f64 x 1/6)
(*.f64 x (log.f64 (exp.f64 -1/6)))
(*.f64 x (pow.f64 (cbrt.f64 -1/6) 3))
(*.f64 x (pow.f64 (sqrt.f64 -1/6) 2))
(*.f64 x (exp.f64 (log.f64 -1/6)))
(*.f64 -1/6 x)
(*.f64 -1/6 (neg.f64 x))
(.f64 (.f64 x -1/6) 1)
(.f64 (.f64 x -1/6) (log.f64 (E.f64)))
(.f64 1 (.f64 x -1/6))
(.f64 -1 (.f64 x -1/6))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1/6))
(.f64 (cbrt.f64 (.f64 x -1/6)) (pow.f64 (cbrt.f64 (*.f64 x -1/6)) -2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (cbrt.f64 (*.f64 x -1/6)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (neg.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/6))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 -1/6 (*.f64 x -1/6))))
(.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 (*.f64 x -1/6)))
(.f64 (sqrt.f64 (.f64 x -1/6)) (neg.f64 (sqrt.f64 (*.f64 x -1/6))))
(*.f64 (/.f64 1 x) -6)
(*.f64 -6 (/.f64 1 x))
(.f64 (sqrt.f64 -1/6) (sqrt.f64 (.f64 x (*.f64 x -1/6))))
(.f64 (pow.f64 (.f64 x -1/6) -1/4) (sqrt.f64 (pow.f64 (*.f64 x -1/6) 3/2)))
(.f64 (pow.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 x) -1/6) -1))
(*.f64 1/6 x)
(*.f64 (neg.f64 x) -1/6)
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2)) (cbrt.f64 (*.f64 x -1/6)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x -1/6))) (sqrt.f64 (*.f64 x -1/6)))
(.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 -1/6 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (.f64 (cbrt.f64 x) -1/6) -1))
(.f64 (pow.f64 1 1/3) (.f64 x -1/6))
(.f64 (pow.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))
(.f64 (pow.f64 (.f64 -1/6 (sqrt.f64 x)) -1) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 -1/6) 3) x)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) x) 1/3) (cbrt.f64 -1/6))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) -1/6) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (.f64 x -1/6))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (pow.f64 (pow.f64 (.f64 x -1/6) -5/2) 1/3) (pow.f64 (*.f64 x -1/6) 1/6))
(*.f64 (pow.f64 (sqrt.f64 -1/6) 2) x)
(*.f64 (exp.f64 (log.f64 -1/6)) x)
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) x)) (cbrt.f64 -1/6))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) -1/6)) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (.f64 x -1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x -1/6) -5/2)) (pow.f64 (*.f64 x -1/6) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 x -1/6) 3/2)) (pow.f64 (*.f64 x -1/6) -1/4))
(.f64 (sqrt.f64 (.f64 (*.f64 x -1/6) -1/6)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x -1/6) x)) (sqrt.f64 -1/6))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) 5)) (pow.f64 (*.f64 x -1/6) 1/6))
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (*.f64 x -1/6) -1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) -3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) -1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) -1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) -2)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 x -1/6)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x -1/6)) 2))) (cbrt.f64 (log.f64 (.f64 x -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -1/6)))) (sqrt.f64 (log.f64 (.f64 x -1/6))))
(neg.f64 (*.f64 x -1/6))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(fabs.f64 (*.f64 x -1/6))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -1/6))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x -1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))

Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 -6 x)
(+.f64 0 (*.f64 x -1/6))
(*.f64 -1/6 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))) 3)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) -1/12)) (log.f64 (pow.f64 (exp.f64 x) -1/12)))
(*.f64 -1/6 x)
(-.f64 0 (*.f64 x -1/6))
(*.f64 -1/6 x)
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(*.f64 -1/6 x)
(/.f64 x -6)
(*.f64 -1/6 x)
(/.f64 -1/6 (/.f64 1 x))
(*.f64 -1/6 x)
(/.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(/.f64 (*.f64 x -1/6) -1)
(*.f64 -1/6 x)
(/.f64 1 (*.f64 x -1/6))
(/.f64 -6 x)
(/.f64 -1 (*.f64 x -1/6))
(/.f64 -6 x)
(/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (cbrt.f64 (.f64 x -1/6)))
(/.f64 -6 x)
(/.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 (.f64 x -1/6)))
1
(/.f64 (/.f64 1 x) -1/6)
(/.f64 -6 x)
(/.f64 (/.f64 1 x) 1/6)
(/.f64 -6 x)
(/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 -1/6) 3))
(/.f64 -6 x)
(/.f64 (/.f64 1 x) (exp.f64 (log.f64 -1/6)))
(/.f64 -6 x)
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 -1/6) (sqrt.f64 -1/6)))
(/.f64 -6 x)
(/.f64 -6 x)
(/.f64 (sqrt.f64 -1) (*.f64 x -1/6))
(*.f64 (/.f64 (sqrt.f64 -1) x) -6)
(*.f64 -6 (/.f64 (sqrt.f64 -1) x))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 -1/6 (.f64 x -1/6))))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/36)))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 (.f64 x -1/6) -1/6)))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x 1/36)))
(/.f64 (pow.f64 x -1/2) (.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 -1/6)))
(/.f64 (pow.f64 x -1/2) (.f64 (sqrt.f64 (.f64 -1/6 x)) (sqrt.f64 -1/6)))
(/.f64 (neg.f64 (/.f64 1 x)) 1/6)
(/.f64 -6 x)
(/.f64 (exp.f64 (log.f64 -1)) (*.f64 x -1/6))
(/.f64 -6 x)
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 1/36) -1)) (cbrt.f64 (*.f64 x -1/6)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/36)) (cbrt.f64 (.f64 -1/6 x)))
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 1/36) (/.f64 1 x))) (cbrt.f64 -1/6))
(/.f64 (cbrt.f64 (.f64 (/.f64 1 x) (.f64 (pow.f64 x 2) 1/36))) (cbrt.f64 -1/6))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (/.f64 1/36 x))) (cbrt.f64 -1/6))
(/.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (.f64 x -1/6))
(/.f64 -6 x)
(/.f64 (pow.f64 (cbrt.f64 -1) 3) (*.f64 x -1/6))
(/.f64 -6 x)
(/.f64 (sqrt.f64 (.f64 -1 (/.f64 1 x))) (sqrt.f64 (.f64 (*.f64 x -1/6) -1/6)))
(/.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (*.f64 x 1/36)))
(/.f64 (sqrt.f64 (.f64 (/.f64 1 x) -1)) (sqrt.f64 (.f64 -1/6 (*.f64 x -1/6))))
(/.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (*.f64 x 1/36)))
(/.f64 (sqrt.f64 (.f64 (.f64 x -1/6) -1)) (sqrt.f64 (*.f64 x -1/6)))
1
(/.f64 (sqrt.f64 (/.f64 -6 (pow.f64 x 2))) (sqrt.f64 -1/6))
(/.f64 (.f64 (pow.f64 x -1/2) 1) (.f64 (sqrt.f64 -1/6) (sqrt.f64 (*.f64 x -1/6))))
(/.f64 (pow.f64 x -1/2) (.f64 (sqrt.f64 (.f64 -1/6 x)) (sqrt.f64 -1/6)))
(/.f64 (.f64 (sqrt.f64 -1) 1) (.f64 x -1/6))
(*.f64 (/.f64 (sqrt.f64 -1) x) -6)
(*.f64 -6 (/.f64 (sqrt.f64 -1) x))
(/.f64 (.f64 1 (sqrt.f64 -1)) (.f64 x -1/6))
(*.f64 (/.f64 (sqrt.f64 -1) x) -6)
(*.f64 -6 (/.f64 (sqrt.f64 -1) x))
(/.f64 (.f64 (sqrt.f64 -1) (pow.f64 x -1/2)) (.f64 (sqrt.f64 (*.f64 x -1/6)) (sqrt.f64 -1/6)))
(.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 -1/6 x))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 -1/6)))
(.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 -1/6))))
(/.f64 (.f64 (pow.f64 x -1/2) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1/6) (sqrt.f64 (*.f64 x -1/6))))
(.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 -1/6 x))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 -1/6)))
(.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 -1/6))))
(pow.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(pow.f64 (*.f64 x -1/6) -1)
(/.f64 -6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(*.f64 -1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) -3)
(/.f64 -6 x)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) -1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(*.f64 -1/6 x)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) -1/3)
(/.f64 -6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) -2)
(/.f64 -6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(*.f64 -1/6 x)
(pow.f64 (E.f64) (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 x -1/6)))
(/.f64 -6 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x -1/6)) 2))) (cbrt.f64 (log.f64 (.f64 x -1/6))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 -1/6 x)) 2))) (cbrt.f64 (log.f64 (.f64 -1/6 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -1/6)))) (sqrt.f64 (log.f64 (.f64 x -1/6))))
(*.f64 -1/6 x)
(neg.f64 (*.f64 x -1/6))
(*.f64 -1/6 x)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(fabs.f64 (*.f64 x -1/6))
(*.f64 -1/6 x)
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(*.f64 -1/6 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(*.f64 -1/6 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -1/6))) 3))
(*.f64 -1/6 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x -1/6))) 1/3))
(*.f64 -1/6 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -1/6))) 2))
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(+.f64 0 (*.f64 x -1/6))
(*.f64 -1/6 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))) 3)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) -1/12)) (log.f64 (pow.f64 (exp.f64 x) -1/12)))
(*.f64 -1/6 x)
(-.f64 0 (*.f64 x -1/6))
(*.f64 -1/6 x)
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x 1/6)
(*.f64 -1/6 x)
(*.f64 x (log.f64 (exp.f64 -1/6)))
(*.f64 -1/6 x)
(*.f64 x (pow.f64 (cbrt.f64 -1/6) 3))
(*.f64 -1/6 x)
(*.f64 x (pow.f64 (sqrt.f64 -1/6) 2))
(*.f64 -1/6 x)
(*.f64 x (exp.f64 (log.f64 -1/6)))
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 (neg.f64 x))
(*.f64 -1/6 x)
(.f64 (.f64 x -1/6) 1)
(*.f64 -1/6 x)
(.f64 (.f64 x -1/6) (log.f64 (E.f64)))
(*.f64 -1/6 x)
(.f64 1 (.f64 x -1/6))
(*.f64 -1/6 x)
(.f64 -1 (.f64 x -1/6))
(*.f64 -1/6 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1/6))
(*.f64 -1/6 x)
(.f64 (cbrt.f64 (.f64 x -1/6)) (pow.f64 (cbrt.f64 (*.f64 x -1/6)) -2))
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) -1)
(/.f64 1 (cbrt.f64 (*.f64 -1/6 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (cbrt.f64 (*.f64 x -1/6)))
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) -1)
(/.f64 1 (cbrt.f64 (*.f64 -1/6 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2) (neg.f64 (cbrt.f64 (*.f64 x -1/6))))
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) -1)
(/.f64 1 (cbrt.f64 (*.f64 -1/6 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/6))
(*.f64 -1/6 x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 -1/6 (*.f64 x -1/6))))
(.f64 (sqrt.f64 (.f64 x 1/36)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x -1/6)) (sqrt.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(.f64 (sqrt.f64 (.f64 x -1/6)) (neg.f64 (sqrt.f64 (*.f64 x -1/6))))
(*.f64 -1/6 x)
(*.f64 (/.f64 1 x) -6)
(/.f64 -6 x)
(*.f64 -6 (/.f64 1 x))
(/.f64 -6 x)
(.f64 (sqrt.f64 -1/6) (sqrt.f64 (.f64 x (*.f64 x -1/6))))
(.f64 (sqrt.f64 -1/6) (sqrt.f64 (.f64 (pow.f64 x 2) -1/6)))
(.f64 (sqrt.f64 -1/6) (sqrt.f64 (.f64 -1/6 (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x -1/6) -1/4) (sqrt.f64 (pow.f64 (*.f64 x -1/6) 3/2)))
(.f64 (pow.f64 (.f64 -1/6 x) -1/4) (sqrt.f64 (pow.f64 (*.f64 -1/6 x) 3/2)))
(.f64 (pow.f64 (.f64 -1/6 x) -1/4) (fabs.f64 (pow.f64 (*.f64 -1/6 x) 3/4)))
(.f64 (pow.f64 (.f64 -1/6 x) -1/4) (pow.f64 (*.f64 -1/6 x) 3/4))
(.f64 (pow.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 x) -1/6) -1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (.f64 -1/6 (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 -6 (sqrt.f64 x)))
(*.f64 -6 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 1/6 x)
(*.f64 -1/6 x)
(*.f64 (neg.f64 x) -1/6)
(*.f64 -1/6 x)
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) -2)) (cbrt.f64 (*.f64 x -1/6)))
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) -1)
(/.f64 1 (cbrt.f64 (*.f64 -1/6 x)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x -1/6))) (sqrt.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1/6 x)
(.f64 (.f64 -1/6 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -1/6 x)
(.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (.f64 (cbrt.f64 x) -1/6) -1))
(/.f64 -6 x)
(.f64 (pow.f64 1 1/3) (.f64 x -1/6))
(*.f64 -1/6 x)
(.f64 (pow.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))
(/.f64 -6 x)
(.f64 (pow.f64 (.f64 -1/6 (sqrt.f64 x)) -1) (pow.f64 x -1/2))
(.f64 (pow.f64 x -1/2) (/.f64 1 (.f64 -1/6 (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 -6 (sqrt.f64 x)))
(*.f64 -6 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 -1/6) 3) x)
(*.f64 -1/6 x)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) x) 1/3) (cbrt.f64 -1/6))
(.f64 (cbrt.f64 -1/6) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 1/36 x))))
(.f64 (cbrt.f64 -1/6) (cbrt.f64 (.f64 1/36 (pow.f64 x 3))))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) -1/6) 1/3) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) -1/216)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (.f64 x -1/6))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 -1/6 (cbrt.f64 (.f64 -1/6 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -1/6 x))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -1/6 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 8)) (cbrt.f64 (cbrt.f64 (*.f64 -1/6 x))))
(.f64 (pow.f64 (pow.f64 (.f64 x -1/6) -5/2) 1/3) (pow.f64 (*.f64 x -1/6) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1/6 x) -5/2)) (pow.f64 (*.f64 -1/6 x) 1/6))
(*.f64 (pow.f64 (sqrt.f64 -1/6) 2) x)
(*.f64 -1/6 x)
(*.f64 (exp.f64 (log.f64 -1/6)) x)
(*.f64 -1/6 x)
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) x)) (cbrt.f64 -1/6))
(.f64 (cbrt.f64 -1/6) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 1/36 x))))
(.f64 (cbrt.f64 -1/6) (cbrt.f64 (.f64 1/36 (pow.f64 x 3))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x 2) 1/36) -1/6)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) -1/216)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (.f64 x -1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x -1/6))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 -1/6 (cbrt.f64 (.f64 -1/6 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -1/6 x))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -1/6 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 x)) 8)) (cbrt.f64 (cbrt.f64 (*.f64 -1/6 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x -1/6) -5/2)) (pow.f64 (*.f64 x -1/6) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1/6 x) -5/2)) (pow.f64 (*.f64 -1/6 x) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 x -1/6) 3/2)) (pow.f64 (*.f64 x -1/6) -1/4))
(.f64 (pow.f64 (.f64 -1/6 x) -1/4) (sqrt.f64 (pow.f64 (*.f64 -1/6 x) 3/2)))
(.f64 (pow.f64 (.f64 -1/6 x) -1/4) (fabs.f64 (pow.f64 (*.f64 -1/6 x) 3/4)))
(.f64 (pow.f64 (.f64 -1/6 x) -1/4) (pow.f64 (*.f64 -1/6 x) 3/4))
(.f64 (sqrt.f64 (.f64 (*.f64 x -1/6) -1/6)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x 1/36)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x -1/6) x)) (sqrt.f64 -1/6))
(.f64 (sqrt.f64 -1/6) (sqrt.f64 (.f64 (pow.f64 x 2) -1/6)))
(.f64 (sqrt.f64 -1/6) (sqrt.f64 (.f64 -1/6 (pow.f64 x 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) 5)) (pow.f64 (*.f64 x -1/6) 1/6))
(.f64 (pow.f64 (.f64 -1/6 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 5)))
(.f64 (pow.f64 (.f64 -1/6 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 5/2))
(pow.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(pow.f64 (*.f64 x -1/6) -1)
(/.f64 -6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(*.f64 -1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) -3)
(/.f64 -6 x)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) -1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(*.f64 -1/6 x)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) -1/3)
(/.f64 -6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) -2)
(/.f64 -6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(*.f64 -1/6 x)
(pow.f64 (E.f64) (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 x -1/6)))
(/.f64 -6 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x -1/6)) 2))) (cbrt.f64 (log.f64 (.f64 x -1/6))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 -1/6 x)) 2))) (cbrt.f64 (log.f64 (.f64 -1/6 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -1/6)))) (sqrt.f64 (log.f64 (.f64 x -1/6))))
(*.f64 -1/6 x)
(neg.f64 (*.f64 x -1/6))
(*.f64 -1/6 x)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(fabs.f64 (*.f64 x -1/6))
(*.f64 -1/6 x)
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(*.f64 -1/6 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(*.f64 -1/6 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -1/6))) 3))
(*.f64 -1/6 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x -1/6))) 1/3))
(*.f64 -1/6 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -1/6))) 2))
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)

eval61.0ms (1%)

Compiler: Compiled 1432 to 1179 computations (17.7% saved)

prune22.0ms (0.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	144	4	148
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	145	10	155

Accuracy

100.0%

Counts

155 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(/.f64 1 (/.f64 (/.f64 1 x) -1/6))
✓	99.8%	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
✓	46.6%	(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
✓	2.7%	(/.f64 1 (*.f64 x -1/6))
	8.7%	(/.f64 1 1)
✓	2.7%	(/.f64 -6 x)
	2.7%	(*.f64 (/.f64 1 x) -6)
	3.3%	(*.f64 x -1/6)
✓	46.3%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 127 to 104 computations (18.1% saved)

regimes16.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x -1/6)
(/.f64 -6 x)
(/.f64 1 1)
(*.f64 (/.f64 1 x) -6)
(/.f64 1 (*.f64 x -1/6))
(/.f64 1 (/.f64 2 x))
(/.f64 1 (/.f64 (/.f64 1 x) -1/6))
(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(tan.f64 (/.f64 x 2))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

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

Calls

2 calls:

7.0ms	x
5.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 75 to 59 computations (21.3% saved)

regimes15.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x -1/6)
(/.f64 -6 x)
(/.f64 1 1)
(*.f64 (/.f64 1 x) -6)
(/.f64 1 (*.f64 x -1/6))
(/.f64 1 (/.f64 2 x))
(/.f64 1 (/.f64 (/.f64 1 x) -1/6))
(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))

Outputs
(/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(/.f64 1 1)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
50.8%	2	`x`

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes13.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x -1/6)
(/.f64 -6 x)
(/.f64 1 1)
(*.f64 (/.f64 1 x) -6)
(/.f64 1 (*.f64 x -1/6))
(/.f64 1 (/.f64 2 x))
(/.f64 1 (/.f64 (/.f64 1 x) -1/6))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
50.4%	2	`x`

Compiler

Compiled 37 to 29 computations (21.6% saved)

regimes13.0ms (0.2%)

Accuracy

Total -28.8b remaining (-83.6%)

Threshold costs -28.8b (-83.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x -1/6)
(/.f64 -6 x)

Outputs
(*.f64 1/2 x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
46.3%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch23.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.09217952450372842	666.7028482002013

Results

21.0ms

128×

body

256

valid

Compiler

Compiled 156 to 137 computations (12.2% saved)

bsearch26.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.09217952450372842	666.7028482002013

Results

24.0ms

128×

body

256

valid

Compiler

Compiled 92 to 81 computations (12% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	97
1	34	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))
(if (<=.f64 x 6980579422424269/1125899906842624) (/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))) (/.f64 1 1))
(if (<=.f64 x 6980579422424269/2251799813685248) (*.f64 1/2 x) (/.f64 1 1))
(*.f64 1/2 x)

Outputs
(tan.f64 (/.f64 x 2))
(if (<=.f64 x 6980579422424269/1125899906842624) (/.f64 1 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))) (/.f64 1 1))
(if (<=.f64 x 6980579422424269/1125899906842624) (/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x)))) 1)
(if (<=.f64 x 6980579422424269/2251799813685248) (*.f64 1/2 x) (/.f64 1 1))
(if (<=.f64 x 6980579422424269/2251799813685248) (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 35 to 28 computations (20% saved)

soundness701.0ms (11.8%)

Rules

1508×	`frac-times`
1006×	`times-frac`
888×	`associate-*r/`
834×	`log1p-expm1-u`
834×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	41	60
2	66	56
3	140	56
4	323	56
5	730	56
6	1382	56
7	1766	56
8	1847	56
9	1924	56
10	1975	56
11	1987	56
0	14	42
1	163	42
2	2160	42
0	400	4993
1	923	4803
2	2988	4651
0	9	20
1	76	20
2	901	20
0	257	2753
1	546	2645
2	1428	2621
3	5832	2621

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 431 to 366 computations (15.1% saved)

end0.0ms (0%)

preprocess69.0ms (1.2%)

Remove: (negabs x)
Compiler: Compiled 120 to 94 computations (21.7% saved)

analyze123.0ms (2.1%)

sample3.4s (56.8%)

preprocess182.0ms (3.1%)

eval0.0ms (0%)

prune2.0ms (0%)

localize125.0ms (2.1%)

series12.0ms (0.2%)

rewrite151.0ms (2.5%)

simplify141.0ms (2.4%)

eval65.0ms (1.1%)

prune24.0ms (0.4%)

localize55.0ms (0.9%)

series3.0ms (0%)

rewrite72.0ms (1.2%)

simplify73.0ms (1.2%)

eval66.0ms (1.1%)

prune21.0ms (0.4%)

localize54.0ms (0.9%)

series4.0ms (0.1%)

rewrite81.0ms (1.4%)

simplify77.0ms (1.3%)

eval69.0ms (1.2%)

prune36.0ms (0.6%)

localize28.0ms (0.5%)

series2.0ms (0%)

rewrite57.0ms (1%)

simplify70.0ms (1.2%)

eval61.0ms (1%)

prune22.0ms (0.4%)

regimes16.0ms (0.3%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

bsearch23.0ms (0.4%)

bsearch26.0ms (0.4%)

simplify3.0ms (0.1%)

soundness701.0ms (11.8%)

end0.0ms (0%)

preprocess69.0ms (1.2%)

Profiling