Details

analyze351.0ms (3.1%)

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 18 to 15 computations (16.7% saved)

sample2.6s (23.2%)

Results

1.2s	2091×	body	1024	valid
1.0s	5140×	body	256	valid
383.0ms	1022×	body	512	valid
3.0ms	3×	body	2048	valid

Bogosity

preprocess19.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

20×	`*-commutative`
16×	`associate-/l*`
16×	`associate-/r/`
14×	`associate-r`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	22	43
2	33	43
3	45	43
4	56	43
5	65	43
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
16×	`associate-/l*`
16×	`associate-/r/`
14×	`associate-r`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	22	43
2	33	43
3	45	43
4	56	43
5	65	43

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accurracy

99.6%

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	77.9%	(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
▶	77.9%	(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
▶	99.2%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 62 to 50 computations (19.4% saved)

localize176.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sin.f64 x)
✓	99.7%	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	99.7%	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
✓	99.4%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))

Compiler

Compiled 47 to 32 computations (31.9% saved)

series5.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`log-prod`
686×	`pow-prod-down`
558×	`pow-prod-up`
484×	`pow-exp`
476×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	246	86
2	2995	86

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1998×	`fma-def`
936×	`distribute-lft-in`
892×	`distribute-rgt-in`
856×	`log-prod`
456×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	4283
1	770	4125
2	2648	4109

Stop Event

1×	node limit

Counts

169 → 195

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 0 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))) 1)
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9) 1/2)
(pow.f64 (pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(sqrt.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(+.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(+.f64 0 (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 2))
(log1p.f64 (expm1.f64 (sin.f64 x)))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/4))
(fma.f64 x 1/4 (*.f64 (pow.f64 x 3) 1/48))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 x 1/4)))
(fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x 1/4 (*.f64 (pow.f64 x 5) 1/480)))
(fma.f64 x 1/4 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 (pow.f64 x 5) 1/480)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 x 1/4))))
(fma.f64 (pow.f64 x 7) 17/80640 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x 1/4 (*.f64 (pow.f64 x 5) 1/480))))
(fma.f64 (pow.f64 x 7) 17/80640 (fma.f64 x 1/4 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 (pow.f64 x 5) 1/480))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (.f64 1/16 (.f64 x x)))
(fma.f64 1/16 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x 1/16) 1/2)
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (.f64 1/16 (.f64 x x))))
(+.f64 1/2 (fma.f64 1/16 (.f64 x x) (.f64 5/768 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/16) (fma.f64 5/768 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (.f64 1/16 (.f64 x x)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 1/16 (.f64 x x) (.f64 5/768 (pow.f64 x 4)))))
(fma.f64 61/92160 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/16) (fma.f64 5/768 (pow.f64 x 4) 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) -1/6 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) -1/6 x)))
(+.f64 0 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9) 1/2)
(sqrt.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9))
(fabs.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))
(pow.f64 (pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9))
(fabs.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) 1) 1))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3)) 1/3))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 1/2)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6) 1/3)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 1))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1) 1))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 3))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6)) 1/3))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(+.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)) (cbrt.f64 (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2) 1/2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) -1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1/3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) -1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(sin.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 1) 1))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 3))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 3)) 1/3))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 2))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

localize162.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 x)
✓	99.5%	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	99.4%	(/.f64 8/3 (sin.f64 x))
✓	78.3%	(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))

Compiler

Compiled 41 to 29 computations (29.3% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`prod-diff`
1180×	`log-prod`
688×	`pow-prod-down`
560×	`pow-prod-up`
504×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	258	61
2	3322	61

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1658×	`times-frac`
1194×	`associate-/l*`
1012×	`associate-/r*`
480×	`log-prod`
320×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	3524
1	736	3160
2	2713	2672

Stop Event

1×	node limit

Counts

136 → 166

Calls

Call 1

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

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

localize202.0ms (1.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 x)
	99.5%	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	99.5%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
✓	78.3%	(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

Compiler

Compiled 48 to 36 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`prod-diff`
1276×	`log-prod`
562×	`pow-prod-up`
506×	`pow-exp`
454×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	257	56
2	3431	56

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1718×	`fma-def`
1366×	`times-frac`
780×	`unswap-sqr`
618×	`associate-/r*`
470×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	3818
1	628	3304
2	2378	2966

Stop Event

1×	node limit

Counts

102 → 142

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(+.f64 0 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(.f64 8/3 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(.f64 1 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 2))))
(.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 2))) (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (.f64 (cbrt.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 1) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 1) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(pow.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) -1)
(pow.f64 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 1) -1)
(neg.f64 (/.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2)))
(log.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) -1))
(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 2)
(pow.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 3))
(expm1.f64 (log1p.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 2/3 (.f64 x x)))
(fma.f64 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (.f64 1/540 (pow.f64 x 6))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 0 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 1 (.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 2))))
(.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 2))) (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 2))))
(.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (.f64 (cbrt.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3)))))
(.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (.f64 x 1/2))) 2)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 1) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
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(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(cbrt.f64 (pow.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 3))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(expm1.f64 (log1p.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (log.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (.f64 (log.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 1) 1))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) 1/3))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)

localize199.0ms (1.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 x)
✓	99.6%	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
✓	99.5%	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
✓	78.3%	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Compiler

Compiled 55 to 44 computations (20% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`log-prod`
722×	`pow-prod-down`
586×	`pow-prod-up`
512×	`pow-exp`
502×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	289	73
2	3435	73

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

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

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

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

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1640×	`fma-def`
1102×	`times-frac`
978×	`associate-*r/`
782×	`associate-*l/`
572×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	4543
1	748	4407
2	2515	4067

Stop Event

1×	node limit

Counts

135 → 183

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(+.f64 0 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(.f64 1 (.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2))))
(.f64 (cbrt.f64 (.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (.f64 (.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3) 1/3)
(pow.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) -1)
(neg.f64 (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (.f64 (.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) -3)) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1))
(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1)
(pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 3)
(pow.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(pow.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2)
(sqrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(+.f64 0 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1)
(pow.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 1/2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) 1/3)
(pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2)
(sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))

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

eval315.0ms (2.8%)

Compiler: Compiled 15092 to 10914 computations (27.7% saved)

prune154.0ms (1.4%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	839	30	869
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	842	31	873

Accurracy

100.0%

Counts

873 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
	50.5%	(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
	64.6%	(/.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) 1/3) (sin.f64 x))
	77.9%	(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
	78.0%	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
	57.9%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	57.9%	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
	57.7%	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
▶	57.9%	(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
	78.0%	(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
	57.8%	(/.f64 (*.f64 8/3 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x))
	68.4%	(/.f64 (.f64 8/3 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sin.f64 x))
	64.8%	(/.f64 (.f64 8/3 (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))) (sin.f64 x))
	65.0%	(/.f64 (.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6))) (sin.f64 x))
	25.2%	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	99.1%	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
	97.8%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
	77.9%	(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
	25.1%	(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (*.f64 1/4 x) x))
	57.7%	(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
	57.8%	(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
	99.0%	(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
	99.3%	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
▶	77.9%	(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
✓	99.2%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
	46.1%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
	57.8%	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
▶	99.4%	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶	46.0%	(*.f64 2/3 x)
	40.0%	(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
▶	28.0%	(exp.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))

Compiler

Compiled 825 to 684 computations (17.1% saved)

localize64.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(*.f64 4/3 (tan.f64 (/.f64 x 2)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
1.0ms	x	@	-inf	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
0.0ms	x	@	0	(*.f64 4/3 (tan.f64 (/.f64 x 2)))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`pow1`
1580×	`add-exp-log`
1580×	`log1p-expm1-u`
1580×	`expm1-log1p-u`
1546×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	189	17
2	2153	17

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2154×	`log-prod`
1224×	`fma-neg`
838×	`fma-def`
672×	`distribute-lft-out`
636×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	761
1	150	695
2	408	629
3	1875	629
4	4991	629
5	7437	629

Stop Event

1×	node limit

Counts

25 → 31

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 2/3 x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1`
860×	`add-sqr-sqrt`
842×	`*-un-lft-identity`
816×	`add-exp-log`
816×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1110	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(*.f64 2/3 x)

Outputs
(+.f64 0 (*.f64 2/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(pow.f64 (*.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(exp.f64 (log.f64 (*.f64 2/3 x)))
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1586×	`log-prod`
1574×	`fma-def`
1114×	`fma-neg`
534×	`*-commutative`
498×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	94	140
2	308	116
3	2250	116
4	5035	116
5	7283	116

Stop Event

1×	node limit

Counts

14 → 18

Calls

Call 1

Inputs
(+.f64 0 (*.f64 2/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(pow.f64 (*.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(exp.f64 (log.f64 (*.f64 2/3 x)))
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))

Outputs
(+.f64 0 (*.f64 2/3 x))
(*.f64 2/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 2/3 x)
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(*.f64 2/3 x)
(pow.f64 (*.f64 2/3 x) 1)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(*.f64 2/3 x)
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)

localize178.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 x)
	99.4%	(/.f64 8/3 (sin.f64 x))
✓	79.7%	(-.f64 1 (cos.f64 x))
✓	78.3%	(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`log-prod`
684×	`prod-exp`
630×	`pow-prod-down`
500×	`pow-prod-up`
460×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	229	38
2	2864	28

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

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

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1790×	`fma-def`
858×	`distribute-lft-in`
822×	`distribute-rgt-in`
706×	`unswap-sqr`
386×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	3426
1	776	3348
2	2691	3236

Stop Event

1×	node limit

Counts

136 → 155

Calls

Call 1

Inputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(+.f64 0 (*.f64 8/3 (tan.f64 (/.f64 x 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (sin.f64 x) 3/8) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (sin.f64 x) 3/8) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (.f64 8/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 8/3 (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 -8/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 -8/3 (pow.f64 (sin.f64 x) 2)) (.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 8/3) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -8/3) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 8/3) (.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1) (.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) -8/3) (.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 8/3 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 8/3 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))) 2)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (-.f64 1 (cos.f64 x)))) -1)
(sqrt.f64 (pow.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2))
(log.f64 (exp.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))))
(exp.f64 (log.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (tan.f64 (/.f64 x 2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (tan.f64 (/.f64 x 2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (tan.f64 (/.f64 x 2))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1)))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (+.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) (.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))))
(fma.f64 8/3 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 8/3 (/.f64 1 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 (/.f64 8/3 (sin.f64 x)) 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 8/3 (sin.f64 x)) 1 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 1 (/.f64 8/3 (sin.f64 x)) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 1 (/.f64 8/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 8/3 (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 8/3 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)

Outputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x)))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 x (.f64 x 1/2) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 x (.f64 x 1/2) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(+.f64 0 (*.f64 8/3 (tan.f64 (/.f64 x 2))))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (tan.f64 (/.f64 x 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (tan.f64 (/.f64 x 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (tan.f64 (/.f64 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 8/3 (tan.f64 (/.f64 x 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (tan.f64 (/.f64 x 2))))))
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 -1 (cos.f64 x) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))

localize234.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
✓	99.5%	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	99.4%	(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
✓	78.3%	(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))

Compiler

Compiled 55 to 41 computations (25.5% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`log-prod`
698×	`pow-prod-down`
642×	`pow-prod-up`
582×	`pow-exp`
504×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	310	104
2	3571	104

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-def`
1386×	`times-frac`
798×	`distribute-lft-in`
784×	`distribute-rgt-in`
596×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	6536
1	973	6320
2	2801	6012

Stop Event

1×	node limit

Counts

204 → 274

Calls

Call 1

Inputs
(/.f64 4 x)
(+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x))))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (+.f64 (.f64 -1/7560 (pow.f64 x 5)) (.f64 4 (/.f64 1 x)))))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(+.f64 0 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))) 1)
(.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))
(.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) 1)
(.f64 1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 4)) (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -2) (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4)) (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) 1)
(pow.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) -3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 6) 1/3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sin.f64 (.f64 x 1/2))) -2)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 1) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 4))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 6))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) -1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1) -1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))))
(+.f64 0 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1)
(/.f64 8/3 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) 8/3))
(/.f64 -8/3 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -2))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))
(/.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 4))) (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))))
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (.f64 64/9 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) -4)) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) 8/3) -1)
(sqrt.f64 (.f64 64/9 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) -4)))
(log.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(+.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (cbrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 1)
(.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 -2 (log.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) 1/3))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 0 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1)
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 1 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) 1)
(.f64 (cbrt.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) -4)) (cbrt.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))
(.f64 -1 (/.f64 1 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)))))
(.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) -2) (cbrt.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) -1)
(pow.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) -3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -4) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 4) -1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 6) -1/3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sin.f64 (.f64 x 1/2))) 2)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -2)
(pow.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -4))
(log.f64 (exp.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)) -3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) -3)) 1/3))
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))

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

localize245.0ms (2.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
✓	97.5%	(exp.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
✓	89.5%	(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
✓	86.5%	(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))

Compiler

Compiled 64 to 41 computations (35.9% saved)

series3.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite113.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`log-prod`
734×	`pow-prod-down`
618×	`pow-prod-up`
566×	`pow-exp`
510×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	110
1	288	110
2	3679	94

Stop Event

1×	node limit

Counts

4 → 238

Calls

Call 1

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

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

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

888×	`log-prod`
598×	`fma-neg`
480×	`associate-r`
470×	`cube-prod`
462×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	596	13420
1	1445	10832
2	5249	10370

Stop Event

1×	node limit

Counts

262 → 280

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 (tan.f64 x)))) (sqrt.f64 (/.f64 1/2 (tan.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 1/2 (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 1/2 (sin.f64 x)) (neg.f64 (/.f64 1/2 (tan.f64 x))))
(+.f64 0 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/2))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) 1/2 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/2)))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (.f64 1/2 (cos.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1/2 (tan.f64 x))) 1 (.f64 (/.f64 1/2 (tan.f64 x)) 1)))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x)))))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 (cos.f64 x) 1) (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) 1))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1/2 (cbrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 1/2 (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) 1) (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) 1))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) 1) (.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) 1))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/2))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) 1/2 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/2)))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (.f64 1/2 (cos.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1/2 (tan.f64 x))) 1 (.f64 (/.f64 1/2 (tan.f64 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x)))))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 (cos.f64 x) 1) (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1/2 (cbrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 1/2 (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) 1) (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)))
(+.f64 0 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3)))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 8/3 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)) 3)
(pow.f64 (*.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) -2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)))) (sqrt.f64 (log.f64 (.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3)) -1)
(sqrt.f64 (*.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) -2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x))))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 (tan.f64 x)))) (sqrt.f64 (/.f64 1/2 (tan.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (*.f64 (/.f64 1/2 (tan.f64 x)) 0))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 1/2 (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (/.f64 -1/2 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 1/2 (sin.f64 x)) (neg.f64 (/.f64 1/2 (tan.f64 x))))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 -1/2 (tan.f64 x)))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x)))
(+.f64 0 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/2))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) 1/2 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/2)))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2)) (fma.f64 (/.f64 -1/2 (sin.f64 x)) (cos.f64 x) (.f64 (cos.f64 x) (/.f64 1/2 (sin.f64 x)))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (.f64 1/2 (cos.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2)) (fma.f64 (/.f64 -1/2 (sin.f64 x)) (cos.f64 x) (.f64 (cos.f64 x) (/.f64 1/2 (sin.f64 x)))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1/2 (tan.f64 x))) 1 (.f64 (/.f64 1/2 (tan.f64 x)) 1)))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (/.f64 -1/2 (tan.f64 x))) (+.f64 (/.f64 -1/2 (tan.f64 x)) (/.f64 1/2 (tan.f64 x))))
(+.f64 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))) (*.f64 (/.f64 1/2 (tan.f64 x)) 0))
(+.f64 (*.f64 (/.f64 1/2 (tan.f64 x)) 0) (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (cbrt.f64 (/.f64 1/2 (tan.f64 x)))))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (/.f64 -1/2 (tan.f64 x))) (+.f64 (/.f64 -1/2 (tan.f64 x)) (/.f64 1/2 (tan.f64 x))))
(+.f64 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))) (*.f64 (/.f64 1/2 (tan.f64 x)) 0))
(+.f64 (*.f64 (/.f64 1/2 (tan.f64 x)) 0) (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (neg.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 -1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (.f64 0 (/.f64 (*.f64 (cos.f64 x) (/.f64 1/2 (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (.f64 0 (pow.f64 (/.f64 (cbrt.f64 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) 3)) (-.f64 (/.f64 1/2 (sin.f64 x)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) 3)))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 (cos.f64 x) 1) (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) 1))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2)) (fma.f64 (/.f64 -1/2 (sin.f64 x)) (cos.f64 x) (.f64 (cos.f64 x) (/.f64 1/2 (sin.f64 x)))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0))
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eval324.0ms (2.9%)

Compiler: Compiled 16944 to 11688 computations (31% saved)

prune428.0ms (3.8%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	830	17	847
Fresh	19	6	25
Picked	1	0	1
Done	3	2	5
Total	853	25	878

Accurracy

100.0%

Counts

878 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.0%	(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
▶	50.7%	(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
	26.2%	(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
	78.0%	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
	98.0%	(/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))) 3) 2)
	57.9%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)) 2)
	57.9%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	57.7%	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
	57.8%	(/.f64 (.f64 (.f64 (/.f64 1 (sin.f64 x)) 8/3) (-.f64 1 (cos.f64 x))) 2)
▶	99.4%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
	99.0%	(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) 3/8 3/8))) 2)
	25.2%	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	95.3%	(/.f64 (log1p.f64 (expm1.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))))) 2)
	77.9%	(/.f64 8/3 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))
▶	99.3%	(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
	58.9%	(-.f64 (+.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1)
▶	46.0%	(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
	46.6%	(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
▶	46.1%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
	57.8%	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓	99.4%	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓	46.0%	(*.f64 2/3 x)
	14.5%	(sqrt.f64 (.f64 4/9 (.f64 x x)))
	81.5%	(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
	71.4%	(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))

Compiler

Compiled 513 to 433 computations (15.6% saved)

localize127.0ms (1.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
✓	99.5%	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)

Compiler

Compiled 33 to 26 computations (21.2% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
0.0ms	x	@	inf	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
0.0ms	x	@	0	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)
0.0ms	x	@	inf	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`log-prod`
602×	`prod-exp`
586×	`pow-prod-down`
502×	`pow-prod-up`
440×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	225	50
2	2744	34

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))) 1)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (.f64 16/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2)
(sqrt.f64 (.f64 16/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (.f64 (cos.f64 (.f64 x 1/2)) 3/4)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 4/3 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) -2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) -1)
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (neg.f64 (log.f64 (cos.f64 (.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4))))
(exp.f64 (-.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (log.f64 (cos.f64 (.f64 x 1/2)))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1408×	`fma-def`
1180×	`associate-/l*`
1076×	`times-frac`
662×	`unswap-sqr`
544×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2903
1	586	2835
2	1877	2827

Stop Event

1×	node limit

Counts

105 → 123

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))) 1)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (.f64 16/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2)
(sqrt.f64 (.f64 16/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (.f64 (cos.f64 (.f64 x 1/2)) 3/4)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 4/3 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) -2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) -1)
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (neg.f64 (log.f64 (cos.f64 (.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4))))
(exp.f64 (-.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (log.f64 (cos.f64 (.f64 x 1/2)))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/2880 (pow.f64 x 5) (*.f64 -1/36 (pow.f64 x 3))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 -1/483840 (pow.f64 x 7) (*.f64 2/3 x))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/18))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 (pow.f64 x 5) 1/180 (*.f64 (pow.f64 x 3) 1/18)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 2/3 x))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 2/3 x (fma.f64 (pow.f64 x 5) 1/180 (*.f64 (pow.f64 x 7) 17/30240))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (.f64 x 1/2))))))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))) 1)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 3)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (.f64 16/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) 1/2)
(sqrt.f64 (.f64 16/9 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 8/9 (.f64 16/9 (.f64 (cos.f64 x) -1/2))))
(sqrt.f64 (*.f64 16/9 (fma.f64 (cos.f64 x) -1/2 1/2)))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2)
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 16/9 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (.f64 16/9 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 8/9 (.f64 16/9 (.f64 (cos.f64 x) -1/2))))
(sqrt.f64 (*.f64 16/9 (fma.f64 (cos.f64 x) -1/2 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) 1))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))) 1/3))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 2))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (.f64 (cos.f64 (.f64 x 1/2)) 3/4)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 4/3 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) -2) (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) -2) (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) -2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) -2) (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) 4/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) 4/3))
(/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1/2) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 4/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) 2) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) -2) (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) 1/2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(cbrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 64/27) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(pow.f64 (/.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) -1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (exp.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 64/27) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (neg.f64 (log.f64 (cos.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (log.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))

localize31.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 1 (/.f64 4 x))
✓	99.6%	(*.f64 8/3 (/.f64 1 (/.f64 4 x)))

Compiler

Compiled 21 to 17 computations (19% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (/.f64 4 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 4 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 4 x))
0.0ms	x	@	0	(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
0.0ms	x	@	inf	(*.f64 8/3 (/.f64 1 (/.f64 4 x)))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`pow1`
1536×	`add-exp-log`
1534×	`log1p-expm1-u`
1534×	`expm1-log1p-u`
1504×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	14
2	2208	14

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(/.f64 8/3 (/.f64 4 x))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 -8/3 (/.f64 -4 x))
(/.f64 2/3 (pow.f64 x -1))
(/.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (/.f64 4 x) 2))) (cbrt.f64 (/.f64 4 x)))
(/.f64 (/.f64 8/3 (sqrt.f64 (/.f64 4 x))) (sqrt.f64 (/.f64 4 x)))
(pow.f64 (*.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 2/3 x) 2))
(log.f64 (exp.f64 (*.f64 2/3 x)))
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(exp.f64 (log.f64 (*.f64 2/3 x)))
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))
(-.f64 (+.f64 1 (*.f64 x 1/4)) 1)
(.f64 1 (.f64 x 1/4))
(*.f64 x 1/4)
(.f64 (.f64 x 1/4) 1)
(.f64 (cbrt.f64 (.f64 x 1/4)) (cbrt.f64 (.f64 1/16 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/16 (.f64 x x))) (cbrt.f64 (.f64 x 1/4)))
(.f64 (.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (/.f64 -4 x)))
(*.f64 1/4 x)
(*.f64 1/4 (pow.f64 (pow.f64 x -1) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 4 x) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 4 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 4 x)) -1) (pow.f64 (sqrt.f64 (/.f64 4 x)) -1))
(.f64 (.f64 1/4 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 1/4 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -1/4 (neg.f64 x))
(pow.f64 (/.f64 4 x) -1)
(pow.f64 (*.f64 x 1/4) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/4)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/4) 3) 1/3)
(pow.f64 (*.f64 1/2 (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 1/16 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/4) x))
(cbrt.f64 (pow.f64 (*.f64 x 1/4) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/4)))
(exp.f64 (log.f64 (*.f64 x 1/4)))
(log1p.f64 (expm1.f64 (*.f64 x 1/4)))

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1246×	`fma-def`
1154×	`distribute-rgt-in`
1124×	`distribute-lft-in`
1042×	`log-prod`
808×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	559
1	241	559
2	768	553
3	3331	553

Stop Event

1×	node limit

Counts

67 → 52

Calls

Call 1

Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(/.f64 8/3 (/.f64 4 x))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 -8/3 (/.f64 -4 x))
(/.f64 2/3 (pow.f64 x -1))
(/.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (/.f64 4 x) 2))) (cbrt.f64 (/.f64 4 x)))
(/.f64 (/.f64 8/3 (sqrt.f64 (/.f64 4 x))) (sqrt.f64 (/.f64 4 x)))
(pow.f64 (*.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 2/3 x) 2))
(log.f64 (exp.f64 (*.f64 2/3 x)))
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(exp.f64 (log.f64 (*.f64 2/3 x)))
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))
(-.f64 (+.f64 1 (*.f64 x 1/4)) 1)
(.f64 1 (.f64 x 1/4))
(*.f64 x 1/4)
(.f64 (.f64 x 1/4) 1)
(.f64 (cbrt.f64 (.f64 x 1/4)) (cbrt.f64 (.f64 1/16 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/16 (.f64 x x))) (cbrt.f64 (.f64 x 1/4)))
(.f64 (.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (/.f64 -4 x)))
(*.f64 1/4 x)
(*.f64 1/4 (pow.f64 (pow.f64 x -1) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 4 x) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 4 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 4 x)) -1) (pow.f64 (sqrt.f64 (/.f64 4 x)) -1))
(.f64 (.f64 1/4 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 1/4 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -1/4 (neg.f64 x))
(pow.f64 (/.f64 4 x) -1)
(pow.f64 (*.f64 x 1/4) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/4)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/4) 3) 1/3)
(pow.f64 (*.f64 1/2 (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 1/16 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/4) x))
(cbrt.f64 (pow.f64 (*.f64 x 1/4) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/4)))
(exp.f64 (log.f64 (*.f64 x 1/4)))
(log1p.f64 (expm1.f64 (*.f64 x 1/4)))

Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 2/3 x)
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(*.f64 2/3 x)
(/.f64 -8/3 (/.f64 -4 x))
(*.f64 2/3 x)
(/.f64 2/3 (pow.f64 x -1))
(*.f64 2/3 x)
(/.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (/.f64 4 x) 2))) (cbrt.f64 (/.f64 4 x)))
(/.f64 8/3 (*.f64 (cbrt.f64 (/.f64 4 x)) (cbrt.f64 (pow.f64 (/.f64 4 x) 2))))
(/.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 x) 2)) (cbrt.f64 (/.f64 4 x))))
(/.f64 (/.f64 8/3 (cbrt.f64 (/.f64 (/.f64 16 x) x))) (cbrt.f64 (/.f64 4 x)))
(/.f64 8/3 (*.f64 (cbrt.f64 (/.f64 (/.f64 16 x) x)) (cbrt.f64 (/.f64 4 x))))
(/.f64 (/.f64 8/3 (sqrt.f64 (/.f64 4 x))) (sqrt.f64 (/.f64 4 x)))
(*.f64 2/3 x)
(pow.f64 (*.f64 2/3 x) 1)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(*.f64 2/3 x)
(sqrt.f64 (pow.f64 (*.f64 2/3 x) 2))
(*.f64 2/3 x)
(log.f64 (exp.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(-.f64 (+.f64 1 (*.f64 x 1/4)) 1)
(*.f64 x 1/4)
(.f64 1 (.f64 x 1/4))
(*.f64 x 1/4)
(*.f64 x 1/4)
(.f64 (.f64 x 1/4) 1)
(*.f64 x 1/4)
(.f64 (cbrt.f64 (.f64 x 1/4)) (cbrt.f64 (.f64 1/16 (.f64 x x))))
(*.f64 x 1/4)
(.f64 (cbrt.f64 (.f64 1/16 (.f64 x x))) (cbrt.f64 (.f64 x 1/4)))
(*.f64 x 1/4)
(.f64 (.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))
(*.f64 x 1/4)
(*.f64 -1 (/.f64 1 (/.f64 -4 x)))
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 (pow.f64 (pow.f64 x -1) -1))
(*.f64 x 1/4)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 4 x) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 4 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 4 x) 2))) (/.f64 1 (cbrt.f64 (/.f64 4 x))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 4 x))) 1) (cbrt.f64 (pow.f64 (/.f64 4 x) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 16 x) x))) (cbrt.f64 (/.f64 4 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 4 x)) -1) (pow.f64 (sqrt.f64 (/.f64 4 x)) -1))
(*.f64 x 1/4)
(.f64 (.f64 1/4 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 1/4 (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (.f64 1/4 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x 1/4)
(*.f64 -1/4 (neg.f64 x))
(*.f64 x 1/4)
(pow.f64 (/.f64 4 x) -1)
(*.f64 x 1/4)
(pow.f64 (*.f64 x 1/4) 1)
(*.f64 x 1/4)
(pow.f64 (cbrt.f64 (*.f64 x 1/4)) 3)
(*.f64 x 1/4)
(pow.f64 (pow.f64 (*.f64 x 1/4) 3) 1/3)
(*.f64 x 1/4)
(pow.f64 (*.f64 1/2 (sqrt.f64 x)) 2)
(*.f64 x 1/4)
(sqrt.f64 (.f64 1/16 (.f64 x x)))
(*.f64 x 1/4)
(log.f64 (pow.f64 (exp.f64 1/4) x))
(*.f64 x 1/4)
(cbrt.f64 (pow.f64 (*.f64 x 1/4) 3))
(*.f64 x 1/4)
(expm1.f64 (log1p.f64 (*.f64 x 1/4)))
(*.f64 x 1/4)
(exp.f64 (log.f64 (*.f64 x 1/4)))
(*.f64 x 1/4)
(log1p.f64 (expm1.f64 (*.f64 x 1/4)))
(*.f64 x 1/4)

localize129.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (.f64 x x))))
✓	99.7%	(.f64 1/16 (.f64 x x))
✓	99.7%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))

Compiler

Compiled 54 to 35 computations (35.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
0.0ms	x	@	-inf	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
0.0ms	x	@	0	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
0.0ms	x	@	inf	(.f64 1/16 (.f64 x x))
0.0ms	x	@	0	(.f64 1/16 (.f64 x x))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`log-prod`
950×	`prod-diff`
636×	`pow-prod-up`
578×	`pow-exp`
516×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	89
1	300	81
2	3748	81

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
(.f64 1/16 (.f64 x x))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (.f64 x x))))

Outputs
(+.f64 0 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))
(+.f64 (.f64 8/3 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))))
(+.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))))
(+.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))) (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2))
(+.f64 (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 8/3))
(+.f64 (.f64 1/2 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(+.f64 (.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))) 1)
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (fma.f64 1/4096 (pow.f64 x 6) 1/8)) (fma.f64 (.f64 x (.f64 x 1/16)) (fma.f64 1/16 (.f64 x x) -1/2) 1/4))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (-.f64 1/4 (pow.f64 (.f64 x 1/4) 4))) (+.f64 1/2 (.f64 -1/16 (.f64 x x))))
(pow.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 2)
(sqrt.f64 (.f64 64/9 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))
(exp.f64 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))) 2))
(log1p.f64 (expm1.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))
(fma.f64 8/3 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16)))))
(fma.f64 1/2 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(fma.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(fma.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 8/3 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))) 8/3))
(fma.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16)) (.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1/2))
(+.f64 0 (.f64 x (.f64 x 1/16)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/16)))) 1)
(pow.f64 (.f64 x (.f64 x 1/16)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) 3)
(pow.f64 (pow.f64 (*.f64 x 1/4) 6) 1/3)
(pow.f64 (*.f64 x 1/4) 2)
(sqrt.f64 (pow.f64 (*.f64 x 1/4) 4))
(log.f64 (pow.f64 (exp.f64 1/16) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/16)))))
(cbrt.f64 (pow.f64 (*.f64 x 1/4) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/16))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 1/4))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 1/4))) 1))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 x 1/4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 1/16)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x 1/4) 6)) 1/3))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 x 1/4))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 1/4)) 2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/16))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))
(+.f64 (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 1) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 1))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (*.f64 x x) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 3)) (+.f64 (pow.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 2) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 2) (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16)))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 2)) (-.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/4096 (pow.f64 x 6) 1/8)) (fma.f64 (.f64 x (.f64 x 1/16)) (fma.f64 1/16 (*.f64 x x) -1/2) 1/4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (-.f64 1/4 (pow.f64 (.f64 x 1/4) 4))) (+.f64 1/2 (.f64 -1/16 (*.f64 x x))))
(/.f64 (.f64 (fma.f64 1/4096 (pow.f64 x 6) 1/8) (sin.f64 (.f64 x 1/2))) (fma.f64 (.f64 x (.f64 x 1/16)) (fma.f64 1/16 (*.f64 x x) -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x 1/4) 4)) (sin.f64 (.f64 x 1/2))) (+.f64 1/2 (.f64 -1/16 (*.f64 x x))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (exp.f64 (.f64 1/2 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (fma.f64 1/16 (*.f64 x x) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/16 (.f64 x x) 1/2) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (sin.f64 (.f64 x 1/2)) 1/2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/16 (.f64 (.f64 x x) (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 x x) (.f64 1/16 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 x (.f64 x 1/16)) (sin.f64 (.f64 x 1/2)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))
(fma.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/4) 4)) (.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 x 1/4) (.f64 (.f64 x 1/4) (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 1 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))) 1))
(fma.f64 (.f64 x 1/16) (.f64 x (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (sqrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (.f64 x 1/4) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 x 1/4) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x 1/4)) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x 1/4)) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (.f64 x (.f64 x 1/16)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (.f64 x (.f64 x 1/16)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) 1/16) (.f64 x x) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) 1/16 (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 x 1/4) 4))) (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/4)) (.f64 x 1/4) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/16)) x (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 1/2 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1586×	`fma-neg`
1202×	`log-prod`
864×	`unswap-sqr`
472×	`associate-r`
440×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	6538
1	813	5004
2	2562	4784
3	6812	4784

Stop Event

1×	node limit

Counts

154 → 182

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 -1/320 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 -1/320 (pow.f64 x 5)) (.f64 1/24192 (pow.f64 x 7)))))
(.f64 1/6 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(.f64 1/6 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 -3/2560 (pow.f64 x 5)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x)))
(+.f64 (.f64 -3/2560 (pow.f64 x 5)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/64512 (pow.f64 x 7)) (.f64 1/4 x))))
(.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(+.f64 0 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))
(+.f64 (.f64 8/3 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))))
(+.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))))
(+.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))) (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2))
(+.f64 (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 8/3))
(+.f64 (.f64 1/2 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(+.f64 (.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))) 1)
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (fma.f64 1/4096 (pow.f64 x 6) 1/8)) (fma.f64 (.f64 x (.f64 x 1/16)) (fma.f64 1/16 (.f64 x x) -1/2) 1/4))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (-.f64 1/4 (pow.f64 (.f64 x 1/4) 4))) (+.f64 1/2 (.f64 -1/16 (.f64 x x))))
(pow.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 2)
(sqrt.f64 (.f64 64/9 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))
(exp.f64 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))) 2))
(log1p.f64 (expm1.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))))
(fma.f64 8/3 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16)))))
(fma.f64 1/2 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(fma.f64 (.f64 x (.f64 x 1/16)) (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(fma.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 8/3 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))) 8/3))
(fma.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16)) (.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1/2))
(+.f64 0 (.f64 x (.f64 x 1/16)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/16) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/16)))) 1)
(pow.f64 (.f64 x (.f64 x 1/16)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) 3)
(pow.f64 (pow.f64 (*.f64 x 1/4) 6) 1/3)
(pow.f64 (*.f64 x 1/4) 2)
(sqrt.f64 (pow.f64 (*.f64 x 1/4) 4))
(log.f64 (pow.f64 (exp.f64 1/16) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/16)))))
(cbrt.f64 (pow.f64 (*.f64 x 1/4) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/16))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 1/4))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 1/4))) 1))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 x 1/4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 1/16)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x 1/4) 6)) 1/3))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 x 1/4))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 1/4)) 2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/16))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(+.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))
(+.f64 (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 1) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 1))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (*.f64 x x) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 3)) (+.f64 (pow.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 2) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 2) (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16)))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 2)) (-.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/4096 (pow.f64 x 6) 1/8)) (fma.f64 (.f64 x (.f64 x 1/16)) (fma.f64 1/16 (*.f64 x x) -1/2) 1/4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (-.f64 1/4 (pow.f64 (.f64 x 1/4) 4))) (+.f64 1/2 (.f64 -1/16 (*.f64 x x))))
(/.f64 (.f64 (fma.f64 1/4096 (pow.f64 x 6) 1/8) (sin.f64 (.f64 x 1/2))) (fma.f64 (.f64 x (.f64 x 1/16)) (fma.f64 1/16 (*.f64 x x) -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x 1/4) 4)) (sin.f64 (.f64 x 1/2))) (+.f64 1/2 (.f64 -1/16 (*.f64 x x))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 x 1/2))) (fma.f64 1/16 (.f64 x x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (exp.f64 (.f64 1/2 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (fma.f64 1/16 (*.f64 x x) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/16 (.f64 x x) 1/2) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (*.f64 x x) 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (sin.f64 (.f64 x 1/2)) 1/2 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/16 (.f64 (.f64 x x) (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 x x) (.f64 1/16 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 x (.f64 x 1/16)) (sin.f64 (.f64 x 1/2)) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1 (.f64 1/2 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))
(fma.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/4) 4)) (.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 x 1/4) (.f64 (.f64 x 1/4) (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 1 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))) 1))
(fma.f64 (.f64 x 1/16) (.f64 x (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (sqrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (.f64 x 1/4) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 x 1/4) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x 1/4)) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x 1/4)) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (.f64 x (.f64 x 1/16)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (.f64 x (.f64 x 1/16)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) 1/16) (.f64 x x) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) 1/16 (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 x 1/4) 4))) (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/4)) (.f64 x 1/4) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/16)) x (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 (.f64 1/2 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 -1/320 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 -1/320 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/320 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 -1/320 (pow.f64 x 5)) (.f64 1/24192 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 -1/320 (pow.f64 x 5) (*.f64 1/24192 (pow.f64 x 7)))))
(.f64 1/6 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 x x) 1/6))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 x x) 1/6))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 x 2))) (.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/4))
(fma.f64 x 1/4 (*.f64 (pow.f64 x 3) 1/48))
(fma.f64 (pow.f64 x 3) 1/48 (*.f64 x 1/4))
(+.f64 (.f64 -3/2560 (pow.f64 x 5)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x)))
(fma.f64 -3/2560 (pow.f64 x 5) (fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/4)))
(fma.f64 (pow.f64 x 5) -3/2560 (fma.f64 x 1/4 (*.f64 (pow.f64 x 3) 1/48)))
(fma.f64 (pow.f64 x 5) -3/2560 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 x 1/4)))
(+.f64 (.f64 -3/2560 (pow.f64 x 5)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/64512 (pow.f64 x 7)) (.f64 1/4 x))))
(fma.f64 -3/2560 (pow.f64 x 5) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/64512 (pow.f64 x 7) (*.f64 x 1/4))))
(fma.f64 (pow.f64 x 5) -3/2560 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x 1/4 (*.f64 (pow.f64 x 7) 1/64512))))
(fma.f64 (pow.f64 x 5) -3/2560 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 (pow.f64 x 7) 1/64512 (*.f64 x 1/4))))
(.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)))
(.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/16)))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)))
(.f64 x (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/16)))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(+.f64 (.f64 1/2 (sin.f64 (.f64 1/2 x))) (.f64 1/16 (.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(+.f64 0 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 1/16 (.f64 x x) 1/2))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 8/3 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2) (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/16))) (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1/2))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) (.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 (.f64 (.f64 x x) 1/6) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 4/3 (.f64 (.f64 x x) 1/6)))
(+.f64 (.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))) 8/3))
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(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (sqrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 1/2 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/16)))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (.f64 x 1/4) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 x 1/4) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x 1/4)) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 x 1/4)) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (.f64 x (.f64 x 1/16)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (.f64 x (.f64 x 1/16)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) 1/16) (.f64 x x) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x x)) 1/16 (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 x 1/4) 4))) (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/4) 4)) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x (.f64 x 1/16)))) (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/256)) (cbrt.f64 (.f64 x (.f64 x 1/16))))))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/4)) (.f64 x 1/4) (.f64 1/2 (sin.f64 (.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x 1/16)) x (.f64 1/2 (sin.f64 (*.f64 x 1/2))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (*.f64 x 1/16))))
(fma.f64 1/2 (sin.f64 (.f64 x 1/2)) (.f64 1/16 (.f64 (sin.f64 (.f64 x 1/2)) (*.f64 x x))))
(.f64 (sin.f64 (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/16) 1/2))

localize147.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
✓	99.4%	(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))

Compiler

Compiled 36 to 28 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`log-prod`
584×	`prod-exp`
566×	`pow-prod-down`
510×	`pow-prod-up`
450×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	232	34
2	2865	34

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))

Outputs
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 -4/3 (/.f64 1 (/.f64 -1 (tan.f64 (.f64 x 1/2)))))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) 1) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 4/3 (neg.f64 (cos.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) 1) -1)
(sqrt.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (.f64 4/3 (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 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) 1)
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 1 (tan.f64 (.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -1/2) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(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 (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 (tan.f64 (*.f64 x 1/2)) -1)
(pow.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 1) -1)
(neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (neg.f64 (sin.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)))))
(log.f64 (+.f64 1 (expm1.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 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(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 (tan.f64 (.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1) 1))
(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 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2)) 2))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) -1))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1) (neg.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-def`
794×	`times-frac`
622×	`log-prod`
596×	`unswap-sqr`
518×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	2718
1	598	2628
2	1554	2628
3	6146	2616

Stop Event

1×	node limit

Counts

110 → 123

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(/.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 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 -4/3 (/.f64 1 (/.f64 -1 (tan.f64 (.f64 x 1/2)))))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) 1) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 4/3 (neg.f64 (cos.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) 1) -1)
(sqrt.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (.f64 4/3 (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 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) 1)
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 1 (tan.f64 (.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -1/2) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(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 (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 (tan.f64 (*.f64 x 1/2)) -1)
(pow.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 1) -1)
(neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (neg.f64 (sin.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)))))
(log.f64 (+.f64 1 (expm1.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 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(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 (tan.f64 (.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1) 1))
(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 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2)) 2))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) -1))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1) (neg.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 2 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 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x)))
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (/.f64 2 x)))
(fma.f64 x -1/6 (fma.f64 (pow.f64 x 3) -1/360 (/.f64 2 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(fma.f64 -1/360 (pow.f64 x 3) (+.f64 (fma.f64 -1/6 x (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120)))
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (fma.f64 (pow.f64 x 5) -1/15120 (/.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 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 -4/3 (/.f64 1 (/.f64 -1 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) 1) (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 4/3 (neg.f64 (cos.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 1/2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) 1) -1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 0 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.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 3 (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 1 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 1 (/.f64 1 (tan.f64 (.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) -2) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -1/2) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) -1/2) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (sin.f64 (.f64 x 1/2)) -1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2) 1/2)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3) 1/3)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) 2)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) -1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) 3))
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 1) -1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -3))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 1))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1) 1))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) 3))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -3)) 1/3))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2)) 2))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) -1))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1) (neg.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))

localize120.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
✓	99.7%	(.f64 4/3 (tan.f64 (.f64 x 1/2)))
✓	99.6%	(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)

Compiler

Compiled 35 to 29 computations (17.1% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
0.0ms	x	@	0	(sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
0.0ms	x	@	inf	(sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1896×	`pow1`
1746×	`add-exp-log`
1746×	`log1p-expm1-u`
1746×	`expm1-log1p-u`
1708×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	246	55
2	2437	55

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1784×	`fma-def`
1318×	`log-prod`
1182×	`distribute-rgt-in`
1134×	`distribute-lft-in`
476×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	3127
1	298	2597
2	983	2267
3	2862	2267
4	7348	2267

Stop Event

1×	node limit

Counts

91 → 87

Calls

Call 1

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

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

eval213.0ms (1.9%)

Compiler: Compiled 8822 to 7274 computations (17.5% saved)

prune97.0ms (0.9%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	554	13	567
Fresh	7	11	18
Picked	1	0	1
Done	0	6	6
Total	562	30	592

Accurracy

100.0%

Counts

592 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)
	99.3%	(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
	26.2%	(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
	57.9%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)) 2)
	57.9%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
▶	57.7%	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓	99.4%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
	99.0%	(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) 3/8 3/8))) 2)
▶	25.2%	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
▶	45.9%	(/.f64 8/3 (/.f64 4 x))
	77.9%	(/.f64 8/3 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))
	97.6%	(/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
✓	99.3%	(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
	99.2%	(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
	46.5%	(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
	99.2%	(/.f64 4/3 (.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
	48.5%	(/.f64 4/3 (exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))
	45.9%	(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
	58.9%	(-.f64 (+.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1)
	58.9%	(+.f64 1 (-.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 1))
▶	99.5%	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
	26.2%	(.f64 8/3 (pow.f64 (.f64 1/2 (sqrt.f64 x)) 2))
✓	46.0%	(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
	46.6%	(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
✓	46.1%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
	57.8%	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓	99.4%	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓	46.0%	(*.f64 2/3 x)
	14.5%	(sqrt.f64 (.f64 4/9 (.f64 x x)))
▶	81.5%	(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))

Compiler

Compiled 556 to 472 computations (15.1% saved)

localize123.0ms (1.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
✓	99.5%	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	-inf	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`log-prod`
806×	`exp-prod`
588×	`prod-exp`
568×	`pow-prod-down`
500×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	226	50
2	2649	34

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 -4/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 4/3 (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (log.f64 (sin.f64 (.f64 x 1/2))) (.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4))))
(exp.f64 (-.f64 (log.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(+.f64 0 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1)
(.f64 4/3 (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(.f64 -4/3 (/.f64 1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 4/3)
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (.f64 16/9 (pow.f64 (cos.f64 (.f64 x 1/2)) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))
(sqrt.f64 (.f64 16/9 (pow.f64 (cos.f64 (.f64 x 1/2)) -2)))
(log.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) -1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1196×	`fma-def`
868×	`log-prod`
732×	`unswap-sqr`
532×	`sqr-pow`
460×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	2522
1	531	2450
2	1458	2446
3	5898	2446

Stop Event

1×	node limit

Counts

102 → 106

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 -4/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 4/3 (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (log.f64 (sin.f64 (.f64 x 1/2))) (.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4))))
(exp.f64 (-.f64 (log.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(+.f64 0 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1)
(.f64 4/3 (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) 1)
(.f64 1 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(.f64 -4/3 (/.f64 1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 4/3)
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (.f64 16/9 (pow.f64 (cos.f64 (.f64 x 1/2)) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))
(sqrt.f64 (.f64 16/9 (pow.f64 (cos.f64 (.f64 x 1/2)) -2)))
(log.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) -1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(fma.f64 1/6 (*.f64 x x) 4/3)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (.f64 5/288 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (.f64 x x) 4/3) (.f64 5/288 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(fma.f64 x (*.f64 x 1/6) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/6 (.f64 x x) 4/3) (fma.f64 5/288 (pow.f64 x 4) (.f64 61/34560 (pow.f64 x 6))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 5/288 (pow.f64 x 4) (fma.f64 61/34560 (pow.f64 x 6) 4/3)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(+.f64 0 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 -4/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) 1/2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (exp.f64 1) (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 4/3 (sin.f64 (*.f64 x 1/2)))) -1)
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1) (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (log.f64 (sin.f64 (.f64 x 1/2))) (.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) (log.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (log.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (.f64 (log.f64 (cos.f64 (.f64 x 1/2))) 1)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 0 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 1 (cos.f64 (.f64 x 1/2))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) 1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 1 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 -4/3 (/.f64 1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 4/3)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 16/9 (pow.f64 (cos.f64 (.f64 x 1/2)) -2)) 1/2)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) -1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) 1) -1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))
(sqrt.f64 (.f64 16/9 (pow.f64 (cos.f64 (.f64 x 1/2)) -2)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1) 1))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 3))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1/3))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) -1))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))

localize22.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(/.f64 8/3 (/.f64 4 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`pow1`
1372×	`add-exp-log`
1372×	`log1p-expm1-u`
1372×	`expm1-log1p-u`
1344×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	159	7
2	1908	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(/.f64 8/3 (/.f64 4 x))

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def`
760×	`associate-+r+`
718×	`distribute-rgt-in`
706×	`associate-+l+`
706×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	259
1	149	259
2	492	259
3	1954	259

Stop Event

1×	node limit

Counts

37 → 25

Calls

Call 1

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

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

localize53.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 x)
✓	99.4%	(.f64 2/3 (.f64 x x))
✓	78.4%	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`pow1`
1798×	`add-exp-log`
1798×	`log1p-expm1-u`
1798×	`expm1-log1p-u`
190×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	187	36
2	2424	36

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1878×	`log-prod`
958×	`unswap-sqr`
894×	`fma-neg`
860×	`associate-/r*`
646×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	166	1942
1	461	1924
2	1972	1924
3	6651	1924

Stop Event

1×	node limit

Counts

82 → 86

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 31/22680 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 7/540 (pow.f64 x 5)) (.f64 1/9 (pow.f64 x 3)))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) 1)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 2/3 (/.f64 1 (/.f64 (sin.f64 x) (.f64 x x))))
(.f64 2/3 (.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 x x) (*.f64 2/3 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 x (*.f64 2/3 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(.f64 1 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (.f64 (cbrt.f64 (.f64 x (*.f64 2/3 x))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 x (sqrt.f64 2/3)) (.f64 (.f64 x (sqrt.f64 2/3)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (*.f64 x x) -2/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 x (*.f64 2/3 x)))
(.f64 (.f64 2/3 x) (*.f64 x (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 2/3 (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 x x) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 2/3 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 2/3 (sin.f64 x)))
(.f64 (/.f64 2/3 (sin.f64 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 x (*.f64 2/3 x)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 x (*.f64 2/3 x)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) 1) (/.f64 (cbrt.f64 (.f64 x (.f64 2/3 x))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 x (.f64 2/3 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 2/3)) 1) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sin.f64 x)))
(.f64 (/.f64 (.f64 x (sqrt.f64 2/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 2/3 x) 1) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 2/3 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 2/3 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(pow.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (.f64 x (.f64 2/3 x))) -1)
(neg.f64 (/.f64 (.f64 x (.f64 2/3 x)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 4/9) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (.f64 2/3 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(-.f64 (+.f64 1 (.f64 x (.f64 2/3 x))) 1)
(pow.f64 (.f64 x (.f64 2/3 x)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 2/3 x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 2/3 x))))
(exp.f64 (log.f64 (.f64 x (.f64 2/3 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 2/3 x))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 2/3 x))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 7/540 (pow.f64 x 5))))
(+.f64 (.f64 31/22680 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 7/540 (pow.f64 x 5)) (.f64 1/9 (pow.f64 x 3)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 7/540 (pow.f64 x 5)))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(-.f64 (+.f64 1 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) 1)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 2/3 (/.f64 1 (/.f64 (sin.f64 x) (.f64 x x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 2/3 (.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (.f64 x x) (*.f64 2/3 (/.f64 1 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (.f64 x (*.f64 2/3 x)) (/.f64 1 (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 1 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (.f64 (cbrt.f64 (.f64 x (*.f64 2/3 x))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (.f64 x (*.f64 2/3 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (/.f64 (cbrt.f64 (.f64 2/3 (.f64 x x))) (sin.f64 x)))
(.f64 (/.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (.f64 x (sqrt.f64 2/3)) (.f64 (.f64 x (sqrt.f64 2/3)) (/.f64 1 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (.f64 (*.f64 x x) -2/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 x (*.f64 2/3 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (.f64 2/3 x) (*.f64 x (/.f64 1 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (*.f64 x (/.f64 2/3 (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 2/3)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 2/3 (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 x x) (sqrt.f64 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 2/3 (sqrt.f64 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 2/3 (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 2/3 (sin.f64 x)) (.f64 x x))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (*.f64 x (/.f64 2/3 (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 2/3)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 x (*.f64 2/3 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (*.f64 x (/.f64 2/3 (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 2/3)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 x (*.f64 2/3 x)) (sqrt.f64 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) 1) (/.f64 (cbrt.f64 (.f64 x (.f64 2/3 x))) (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (.f64 x (*.f64 2/3 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (/.f64 (cbrt.f64 (.f64 2/3 (.f64 x x))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(.f64 (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 x (.f64 2/3 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (.f64 x (*.f64 2/3 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4/9)) (/.f64 (cbrt.f64 (.f64 2/3 (.f64 x x))) (sin.f64 x)))
(.f64 (/.f64 (.f64 x (sqrt.f64 2/3)) 1) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 x (sqrt.f64 2/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (*.f64 x (/.f64 2/3 (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 2/3)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 2/3 x) 1) (/.f64 x (sin.f64 x)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 2/3 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (*.f64 x (/.f64 2/3 (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 2/3)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (.f64 2/3 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(pow.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x))) 1)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(pow.f64 (cbrt.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))) 3)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(pow.f64 (pow.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x))) 3) 1/3)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (.f64 x (.f64 2/3 x))) -1)
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 (.f64 x (.f64 2/3 x)) (neg.f64 (sin.f64 x))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 4/9) (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 (sin.f64 x) 2) 4/9)))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2)) 4/9))
(sqrt.f64 (*.f64 4/9 (/.f64 (pow.f64 x 4) (pow.f64 (sin.f64 x) 2))))
(log.f64 (exp.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(cbrt.f64 (pow.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x))) 3))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (.f64 2/3 x)) 3) (pow.f64 (sin.f64 x) 3)))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(expm1.f64 (log1p.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(exp.f64 (log.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(log1p.f64 (expm1.f64 (.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))))
(.f64 2/3 (/.f64 (.f64 x x) (sin.f64 x)))
(.f64 x (.f64 2/3 (/.f64 x (sin.f64 x))))
(.f64 (.f64 2/3 x) (/.f64 x (sin.f64 x)))
(-.f64 (+.f64 1 (.f64 x (.f64 2/3 x))) 1)
(.f64 2/3 (.f64 x x))
(pow.f64 (.f64 x (.f64 2/3 x)) 1)
(.f64 2/3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 2/3 x))) 3)
(.f64 2/3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 2/3 x)) 3) 1/3)
(.f64 2/3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)
(.f64 2/3 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))
(.f64 2/3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 2/3 x)) 3))
(.f64 2/3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 2/3 x))))
(.f64 2/3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 2/3 x))))
(.f64 2/3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 2/3 x))) 1))
(.f64 2/3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 2/3 x))))
(.f64 2/3 (.f64 x x))

localize161.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 x)
✓	99.7%	(*.f64 (cos.f64 x) -4/3)
✓	79.4%	(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
✓	78.3%	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))

Compiler

Compiled 28 to 17 computations (39.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
0.0ms	x	@	0	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
0.0ms	x	@	0	(*.f64 (cos.f64 x) -4/3)
0.0ms	x	@	0	(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`log-prod`
622×	`prod-exp`
596×	`pow-prod-down`
508×	`pow-prod-up`
470×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	233	47
2	2950	47

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (cos.f64 x) -4/3)

Outputs
(+.f64 0 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (neg.f64 (log.f64 (sin.f64 x)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 x))) (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1)
(-.f64 (/.f64 16/9 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9) (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)))
(/.f64 1 (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (-.f64 16/9 (*.f64 -16/9 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 -16/9) (fma.f64 (cos.f64 x) -4/3 -4/3))
(pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9) (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) -1)
(pow.f64 (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (*.f64 (cos.f64 x) -4/3) 1 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 2) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 2) (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) -4/3) 4/3)
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) -4/3)) (sqrt.f64 (.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) -4/3) 4/3)
(fma.f64 (*.f64 -4/3 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 4/3)
(fma.f64 (*.f64 -4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 4/3)
(+.f64 0 (*.f64 (cos.f64 x) -4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) 1)
(pow.f64 (*.f64 (cos.f64 x) -4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) -4/3))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) -4/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) -4/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) -4/3)))

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1634×	`fma-def`
1052×	`times-frac`
968×	`unswap-sqr`
500×	`log-prod`
340×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	3453
1	702	3291
2	2418	3255

Stop Event

1×	node limit

Counts

151 → 169

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/18 (pow.f64 x 4))) 4/3)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(+.f64 0 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (neg.f64 (log.f64 (sin.f64 x)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 x))) (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1)
(-.f64 (/.f64 16/9 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9) (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)))
(/.f64 1 (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (-.f64 16/9 (*.f64 -16/9 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 -16/9) (fma.f64 (cos.f64 x) -4/3 -4/3))
(pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9) (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) -1)
(pow.f64 (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (*.f64 (cos.f64 x) -4/3) 1 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 2) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 2) (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) -4/3) 4/3)
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) -4/3)) (sqrt.f64 (.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) -4/3) 4/3)
(fma.f64 (*.f64 -4/3 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 4/3)
(fma.f64 (*.f64 -4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 4/3)
(+.f64 0 (*.f64 (cos.f64 x) -4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) 1)
(pow.f64 (*.f64 (cos.f64 x) -4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) -4/3))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) -4/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) -4/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) -4/3)))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(fma.f64 2/3 (*.f64 x x) -4/3)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/18 (pow.f64 x 4))) 4/3)
(+.f64 (fma.f64 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4))) -4/3)
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(+.f64 (fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.f64 1/540 (pow.f64 x 6)))) -4/3)
(+.f64 -4/3 (fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) -4/3)))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(+.f64 0 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (/.f64 1 (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2) 1/2)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) 1) -1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1/3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3))) -1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (neg.f64 (log.f64 (sin.f64 x)))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 x))) (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (/.f64 16/9 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 -4/3 (cos.f64 x)) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9) (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 -4/3 (cos.f64 x)) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 1 (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(/.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 -4/3 (cos.f64 x)) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (-.f64 16/9 (*.f64 -16/9 (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (-.f64 16/9 (*.f64 (cos.f64 x) -16/9))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 16/9 (pow.f64 (cos.f64 x) 2) (-.f64 16/9 (*.f64 (cos.f64 x) -16/9))))
(/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (fma.f64 16/9 (pow.f64 (cos.f64 x) 2) (fma.f64 (cos.f64 x) 16/9 16/9)))
(/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 -4/3 (cos.f64 x)) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 -16/9) (fma.f64 (cos.f64 x) -4/3 -4/3))
(/.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2) 1/2)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) 1/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9) (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) -1)
(.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (/.f64 1 (fma.f64 (.f64 -4/3 (cos.f64 x)) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) -4/3) 16/9))
(pow.f64 (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) -1)
(/.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) 1))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 3))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1/3))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (*.f64 (cos.f64 x) -4/3) 1 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 2) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 2) (cbrt.f64 (.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) -4/3) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) -4/3)) (sqrt.f64 (.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) -4/3) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (*.f64 -4/3 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (*.f64 -4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 0 (*.f64 (cos.f64 x) -4/3))
(*.f64 -4/3 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))
(*.f64 -4/3 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) -4/3) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 3)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 2)
(*.f64 -4/3 (cos.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(*.f64 -4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) -4/3))))
(*.f64 -4/3 (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(*.f64 -4/3 (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) -4/3)) 1))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 1) 1))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) -4/3))) 3))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) 1/3))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 3) 1/3))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) -4/3))) 2))
(*.f64 -4/3 (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) -4/3)))
(*.f64 -4/3 (cos.f64 x))

localize122.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
✓	99.8%	(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
	99.5%	(.f64 4/3 (tan.f64 (.f64 x 1/2)))

Compiler

Compiled 33 to 27 computations (18.2% saved)

series54.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	x	@	inf	(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
16.0ms	x	@	-inf	(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
0.0ms	x	@	0	(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`pow1`
1628×	`log1p-expm1-u`
1626×	`add-exp-log`
1626×	`expm1-log1p-u`
1592×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	203	38
2	2214	38

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))

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

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1240×	`fma-def`
774×	`associate-*r/`
730×	`times-frac`
678×	`log-prod`
588×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1977
1	320	1655
2	1019	1635
3	4456	1635

Stop Event

1×	node limit

Counts

65 → 76

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 -2/9 (pow.f64 x 2)))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (*.f64 25/162 (pow.f64 x 3))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (+.f64 (.f64 25/162 (pow.f64 x 3)) (.f64 -7/81 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 1 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(.f64 1 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2))
(log.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(exp.f64 (log.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(+.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) -1)
(-.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 4/3 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)) 1) (+.f64 (+.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1) 1))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 -2/9 (pow.f64 x 2)))
(fma.f64 2/3 x (.f64 -2/9 (.f64 x x)))
(.f64 x (+.f64 2/3 (.f64 x -2/9)))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (*.f64 25/162 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -2/9 (.f64 x x) (.f64 25/162 (pow.f64 x 3))))
(fma.f64 2/3 x (.f64 (.f64 x x) (+.f64 -2/9 (*.f64 x 25/162))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (+.f64 (.f64 25/162 (pow.f64 x 3)) (.f64 -7/81 (pow.f64 x 4)))))
(fma.f64 2/3 x (fma.f64 -2/9 (.f64 x x) (fma.f64 25/162 (pow.f64 x 3) (.f64 -7/81 (pow.f64 x 4)))))
(fma.f64 2/3 x (fma.f64 -7/81 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 -2/9 (*.f64 x 25/162)))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log1p.f64 (.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 (pow.f64 x 3) 1/18 (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(-.f64 (+.f64 1 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 1 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 3)
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(pow.f64 (pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 2)
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(log.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(exp.f64 (log.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(+.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) -1)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(-.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 4/3 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) 3) -1) (fma.f64 (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) (+.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) 3)) (fma.f64 (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) 3)) (+.f64 1 (.f64 (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 1) (fma.f64 4/3 (tan.f64 (.f64 x 1/2)) 2))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)) 1) (+.f64 (+.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1) 1))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))

eval176.0ms (1.6%)

Compiler: Compiled 7779 to 5457 computations (29.8% saved)

prune88.0ms (0.8%)

Pruning

30 alts after pruning (20 fresh and 10 done)

	Pruned	Kept	Total
New	561	6	567
Fresh	5	14	19
Picked	0	1	1
Done	1	9	10
Total	567	30	597

Accurracy

100.0%

Counts

597 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)
	99.3%	(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
	45.9%	(pow.f64 (*.f64 (/.f64 4 x) 3/8) -1)
	26.2%	(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
	57.9%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)) 2)
	57.9%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓	57.7%	(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓	99.4%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
✓	25.2%	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	24.6%	(/.f64 (.f64 2/3 (.f64 x x)) x)
	99.6%	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
✓	45.9%	(/.f64 8/3 (/.f64 4 x))
✓	99.3%	(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
	99.2%	(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
	46.5%	(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
	99.2%	(/.f64 4/3 (.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
	48.5%	(/.f64 4/3 (exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))
	45.9%	(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
	58.9%	(-.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1)
	58.9%	(+.f64 1 (-.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 1))
	26.2%	(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
✓	46.0%	(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
	46.6%	(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
✓	46.1%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
	57.8%	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓	99.4%	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓	46.0%	(*.f64 2/3 x)
	14.5%	(sqrt.f64 (.f64 4/9 (.f64 x x)))
	47.2%	(expm1.f64 (*.f64 2/3 x))
✓	81.5%	(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))

Compiler

Compiled 290 to 241 computations (16.9% saved)

regimes78.0ms (0.7%)

Counts

70 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 (.f64 2/3 (.f64 x x)) x)
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(expm1.f64 (*.f64 2/3 x))
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 (/.f64 4 x) 3/8) -1)
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (*.f64 1/4 x) x))
(+.f64 1 (-.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 1))
(-.f64 (+.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1)
(-.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 8/3 (pow.f64 (.f64 1/2 (sqrt.f64 x)) 2))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)) 2)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 4/3 (.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(/.f64 (.f64 (.f64 (/.f64 1 (sin.f64 x)) 8/3) (-.f64 1 (cos.f64 x))) 2)
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(/.f64 4/3 (exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(/.f64 (log1p.f64 (expm1.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))))) 2)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(/.f64 8/3 (.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) -2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2)))) 3) 2)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) 3/8 3/8))) 2)
(.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6))) (sin.f64 x))
(/.f64 (.f64 8/3 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sin.f64 x))
(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(exp.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(/.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) 1/3) (sin.f64 x))
(/.f64 (.f64 8/3 (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))) (sin.f64 x))
(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))

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

Calls

2 calls:

30.0ms	x
26.0ms	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 786 to 599 computations (23.8% saved)

regimes22.0ms (0.2%)

Counts

29 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 (.f64 2/3 (.f64 x x)) x)
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(expm1.f64 (*.f64 2/3 x))
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 (/.f64 4 x) 3/8) -1)
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (*.f64 1/4 x) x))
(+.f64 1 (-.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 1))
(-.f64 (+.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1)
(-.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 8/3 (pow.f64 (.f64 1/2 (sqrt.f64 x)) 2))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 245 to 187 computations (23.7% saved)

regimes21.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 (.f64 2/3 (.f64 x x)) x)
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(expm1.f64 (*.f64 2/3 x))
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 (/.f64 4 x) 3/8) -1)
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (*.f64 1/4 x) x))
(+.f64 1 (-.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 1))
(-.f64 (+.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 1)
(-.f64 (+.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1) 1)
(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (+.f64 1/2 (.f64 1/16 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 8/3 (pow.f64 (.f64 1/2 (sqrt.f64 x)) 2))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -4/3) -1)

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 223 to 169 computations (24.2% saved)

regimes14.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 (.f64 2/3 (.f64 x x)) x)
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(expm1.f64 (*.f64 2/3 x))
(sqrt.f64 (.f64 4/9 (.f64 x x)))

Outputs
(expm1.f64 (*.f64 2/3 x))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
48.9%	2	`x`

Compiler

Compiled 66 to 50 computations (24.2% saved)

bsearch36.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-6.698217517107433	-2.1797436002046173e-8

Results

33.0ms

144×

body

256

valid

Compiler

Compiled 210 to 179 computations (14.8% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 (.f64 2/3 (.f64 x x)) x)
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
46.6%	1	`x`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(/.f64 (.f64 2/3 (.f64 x x)) x)
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))

Outputs
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
46.5%	1	`x`

Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes5.0ms (0%)

Accuracy

Total -13.8b remaining (-39.9%)

Threshold costs -13.8b (-39.9%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 2/3 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
46.0%	1	`x`

Compiler

Compiled 32 to 24 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	215
1	56	215

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(if (<=.f64 x -3602879701896397/562949953421312) (expm1.f64 (.f64 2/3 x)) (.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x))))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(*.f64 2/3 x)

Outputs
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(if (<=.f64 x -3602879701896397/562949953421312) (expm1.f64 (.f64 2/3 x)) (.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x))))))
(if (<=.f64 x -3602879701896397/562949953421312) (expm1.f64 (.f64 x 2/3)) (.f64 8/3 (/.f64 1 (+.f64 (.f64 x -1/3) (.f64 4 (/.f64 1 x))))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(.f64 8/3 (/.f64 1 (+.f64 (.f64 x -1/3) (*.f64 4 (/.f64 1 x)))))
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(/.f64 4/3 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(*.f64 2/3 x)
(*.f64 x 2/3)

Compiler

Compiled 83 to 69 computations (16.9% saved)

soundness665.0ms (5.9%)

Rules

2154×	`log-prod`
1706×	`pow1`
1658×	`times-frac`
1580×	`add-exp-log`
1580×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	22	43
2	33	43
3	45	43
4	56	43
5	65	43
0	12	61
1	258	61
2	3322	61
0	315	3524
1	736	3160
2	2713	2672
0	63	761
1	150	695
2	408	629
3	1875	629
4	4991	629
5	7437	629
0	11	60
1	232	34
2	2865	34
0	11	50
1	226	50
2	2649	34
0	15	43
1	22	43
2	33	43
3	45	43
4	56	43
5	65	43
0	12	106
1	246	86
2	2995	86
0	9	17
1	189	17
2	2153	17

Stop Event

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

Compiler

Compiled 787 to 604 computations (23.3% saved)

end96.0ms (0.8%)

Compiler: Compiled 222 to 182 computations (18% saved)