Details

analyze5.0ms (0%)

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
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample3.9s (19%)

Results

2.3s	4182×	body	1024	valid
679.0ms	2067×	body	512	valid
594.0ms	1599×	body	256	valid
340.0ms	408×	body	2048	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess54.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

204×	`fma-def`
74×	`associate-+l-`
74×	`+-commutative`
72×	`associate--r+`
62×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

204×	`fma-def`
74×	`associate-+l-`
74×	`+-commutative`
72×	`associate--r+`
62×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))

eval2.0ms (0%)

Compiler: Compiled 98 to 83 computations (15.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	7	2	9

Error

59.6b

Counts

9 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	6.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 51 to 42 computations (17.6% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite271.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`distribute-rgt-in`
810×	`distribute-lft-in`
740×	`associate-/l*`
656×	`associate-/r*`
380×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	327	75
2	4243	75

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (+.f64 (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 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Outputs

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simplify173.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-*r/`
1238×	`associate-+r+`
1046×	`associate-+l+`
998×	`+-commutative`
782×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	17422
1	1335	14570
2	5633	14306

Stop Event

1×	node limit

Counts

220 → 295

Calls

Call 1

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

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
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(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 1))
(+.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(+.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (cbrt.f64 (-.f64 1/2 (.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 -2))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 -2))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (.f64 (log.f64 (-.f64 1/2 (.f64 x 1/2))) 1/2))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 1))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

eval311.0ms (1.5%)

Compiler: Compiled 10542 to 9219 computations (12.5% saved)

prune147.0ms (0.7%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	268	27	295
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	268	28	296

Error

57.6b

Counts

296 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	63.2b	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
	59.6b	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	59.7b	(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 -16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
	59.7b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (.f64 512 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 3))) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (fma.f64 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 6)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	59.6b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))))
	59.7b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 6)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
	59.7b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	59.6b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	59.7b	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) 1/64) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)))))
	59.6b	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))
	59.6b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
▶	58.8b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	59.7b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	59.7b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	59.7b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	59.8b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	59.8b	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	59.7b	(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
	59.6b	(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
▶	63.2b	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
	59.6b	(.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))))
▶	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	59.6b	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
▶	59.6b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	63.2b	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))

Compiler

Compiled 2156 to 1943 computations (9.9% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	0.0b	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	0.0b	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
✓	6.6b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Compiler

Compiled 73 to 59 computations (19.2% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite187.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`distribute-lft-in`
674×	`associate-/l*`
616×	`associate-/r*`
382×	`add-sqr-sqrt`
370×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	388	96
2	4925	96

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))

Outputs
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exp.f64 (.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (.f64 x (.f64 1/4 x)) (+.f64 (.f64 1/4 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))

simplify287.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1094×	`associate-r`
848×	`associate-l`
688×	`+-commutative`
566×	`*-commutative`
432×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	25253
1	2008	21627

Stop Event

1×	node limit

Counts

321 → 408

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
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(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/2))) (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/2))) (-.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2))
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2))) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1)
(.f64 1 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (.f64 x (.f64 1/4 x)) (+.f64 (.f64 1/4 x) 1/4))))
(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
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(fma.f64 -1/32 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
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(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)) (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(fabs.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (.f64 x (.f64 1/4 x)) (+.f64 (.f64 1/4 x) 1/4))))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (fma.f64 x (.f64 x 1/4) (fma.f64 1/4 x 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (.f64 x (fma.f64 1/4 x 1/4)))))
(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(asin.f64 (sqrt.f64 1/2))

Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`add-sqr-sqrt`
924×	`*-un-lft-identity`
884×	`pow1`
864×	`add-cube-cbrt`
858×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	104	9
2	1152	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(asin.f64 (sqrt.f64 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (asin.f64 (sqrt.f64 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))))))

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-lft-in`
1058×	`fma-def`
930×	`distribute-rgt-in`
700×	`associate-r`
568×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	473
1	141	373
2	545	373
3	2412	333
4	7042	333

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 1/2)) 1) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (+.f64 (.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))

Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 1/2)) 1) 1)
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (-.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/4)) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))))
(.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))) 1)
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (+.f64 (.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) (.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (fma.f64 (acos.f64 (sqrt.f64 1/2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
✓	0.0b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
✓	1.0b	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	6.6b	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

Compiler

Compiled 74 to 62 computations (16.2% saved)

series101.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	x	@	inf	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
24.0ms	x	@	0	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
16.0ms	x	@	-inf	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
1.0ms	x	@	0	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
0.0ms	x	@	-inf	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`swap-sqr`
636×	`associate-*r/`
582×	`distribute-rgt-in`
568×	`associate-*l/`
526×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	351	136
2	3995	136

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

Inputs
(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) -1))))) (#(struct:change #<rule 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1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1) (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1)) 1) (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1) 3) 1) (+.f64 (.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1) (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1)) (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1) (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1)) 1)) (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3) (pow.f64 (.f64 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simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-/r*`
1150×	`associate--r+`
896×	`unswap-sqr`
852×	`+-commutative`
744×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	8575
1	493	7603
2	2332	7399
3	5684	7399

Stop Event

1×	node limit

Counts

177 → 118

Calls

Call 1

Inputs
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(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1)
(.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1)
(.f64 1 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
(.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2))
(log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1))

Outputs
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (+.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)) (-.f64 (.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) -1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) 3)) (-.f64 (.f64 (+.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) 2)) -1))
(pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1)
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2)
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) 1/3)
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 2))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1)
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1)
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 1 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 1)
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 2)
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 3)
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3) 1/3)
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1))
(log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
(log1p.f64 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
	1.0b	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	6.7b	(-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Compiler

Compiled 113 to 96 computations (15% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`associate-*r/`
942×	`associate-*l/`
368×	`add-sqr-sqrt`
358×	`pow1`
358×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	361	93
2	4602	93

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

Inputs

(-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

(sqrt.f64 (*.f64 (PI.f64) 1/2))

(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))

Outputs

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simplify164.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-+r-`
1258×	`associate-+l-`
1068×	`+-commutative`
874×	`associate-*r/`
750×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	17046
1	949	14040
2	4657	13996

Stop Event

1×	node limit

Counts

186 → 257

Calls

Call 1

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

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

localize132.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
✓	1.0b	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	6.6b	(+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))

Compiler

Compiled 193 to 167 computations (13.5% saved)

series9.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
1.0ms	x	@	0	(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
1.0ms	x	@	0	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))

rewrite179.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`associate-/r*`
530×	`add-sqr-sqrt`
514×	`*-un-lft-identity`
510×	`pow1`
492×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	256
1	534	248
2	6658	248

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))

Outputs
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(sqrt.f64 -4)) (.f64 (PI.f64) 1/2))) (.f64 (sqrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))) (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (.f64 (cbrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))) (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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(hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (sqrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)))) (sqrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)))) (cbrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4)) (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) -4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) (+.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 3))) (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x 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(+.f64 1/2 (.f64 x -1/2))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))))

simplify301.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1670×	`associate-/r/`
682×	`associate-/l*`
616×	`distribute-lft-neg-in`
586×	`distribute-rgt-neg-in`
546×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	21536
1	1194	18210
2	5218	18210

Stop Event

1×	node limit

Counts

232 → 277

Calls

Call 1

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

Outputs
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
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(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
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(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))) (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (*.f64 1/2 (PI.f64))))
(/.f64 (pow.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) 2) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 3) 1/3)
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(cbrt.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) 3) (pow.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)))
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(exp.f64 (log.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
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(.f64 (/.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (/.f64 (cbrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))) (/.f64 (cbrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (/.f64 (cbrt.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 2)) (cbrt.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(.f64 (cbrt.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))) (/.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))) 2)))
(.f64 (cbrt.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (/.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)))
(pow.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1)
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 2)
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3) 1/3)
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (*.f64 (PI.f64) 1/2))) -1)
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64)))) 2))
(fabs.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3)))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 1))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 (PI.f64) 1/2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 1/2 (PI.f64))))
(/.f64 (hypot.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 -4)) (.f64 1/2 (PI.f64))) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))

eval2.1s (10.3%)

Compiler: Compiled 65949 to 57638 computations (12.6% saved)

prune626.0ms (3%)

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1359	32	1391
Fresh	10	12	22
Picked	1	0	1
Done	2	3	5
Total	1372	47	1419

Error

57.5b

Counts

1419 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	63.2b	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
	59.6b	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
▶	59.6b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
	59.7b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4)))
	59.6b	(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) -4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))))
	59.7b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	59.6b	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))
	59.7b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4)) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
	59.6b	(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	59.6b	(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	59.6b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	59.7b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
▶	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	58.8b	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
	59.7b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	59.8b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	59.8b	(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	58.9b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2) (*.f64 (PI.f64) 1/2)))
	59.7b	(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
	63.2b	(.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
	63.3b	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) 2)))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.7b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.7b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3))
	59.6b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))
	59.6b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))))
	59.7b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (neg.f64 (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3))) (fma.f64 (PI.f64) 1/2 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (*.f64 1/2 (PI.f64))))))))
	59.6b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) 3) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2) 3)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (+.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)))))
	58.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
✓	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	59.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
▶	58.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	60.8b	(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 2))
	59.6b	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	59.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.6b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 3))
	59.6b	(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
	59.6b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)) (-.f64 (.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) -1))))
	59.6b	(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
	59.6b	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))
▶	59.6b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)))
	63.2b	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	59.6b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 3))

Compiler

Compiled 3594 to 3250 computations (9.6% saved)

localize76.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	0.0b	(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	6.6b	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite176.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`associate-*r/`
954×	`distribute-lft-in`
894×	`associate-*l/`
358×	`add-sqr-sqrt`
342×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	348	63
2	4358	63

Stop Event

1×	node limit

Counts

3 → 258

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) (pow.f64 (fma.f64 -1/2 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) 1) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))

simplify271.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
858×	`associate-r`
774×	`associate-+r-`
748×	`associate-l`
574×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	638	25084
1	1767	20394
2	7479	20394

Stop Event

1×	node limit

Counts

286 → 356

Calls

Call 1

Inputs
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(+.f64 (.f64 (PI.f64) -1/2) (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(+.f64 (.f64 (PI.f64) -1/2) (.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 1))
(+.f64 (.f64 (PI.f64) -1/2) (+.f64 (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(+.f64 (.f64 (PI.f64) -1/2) (+.f64 (.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 1) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(+.f64 (.f64 (PI.f64) -1/2) (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 2 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(+.f64 (.f64 (PI.f64) -1/2) (+.f64 (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (.f64 2 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(+.f64 (.f64 (PI.f64) -1/2) (+.f64 (.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 1) (.f64 2 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
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(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) 1) (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (sqrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (/.f64 (-.f64 (.f64 -1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8)) 1) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))
(/.f64 (/.f64 (-.f64 (.f64 -1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8)) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))
(/.f64 (/.f64 (-.f64 (.f64 -1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8)) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))
(pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fma.f64 -1/2 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fma.f64 1 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fma.f64 1 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) -1/2)) (sqrt.f64 (.f64 (PI.f64) -1/2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (sqrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) -1/2)) 2) (cbrt.f64 (.f64 (PI.f64) -1/2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1)
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1)
(*.f64 1 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) (pow.f64 (fma.f64 -1/2 x 1/2) 1/4))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (.f64 -1/2 x) 1/2)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3)))) 1) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) 1) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(pow.f64 (fma.f64 -1/2 x 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))

Outputs
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 3)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 1/3)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fabs.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1)
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 1 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) (pow.f64 (fma.f64 -1/2 x 1/2) 1/4))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (.f64 -1/2 x) 1/2)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (.f64 -1/2 (*.f64 x (fma.f64 -1/2 x -1/2))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (fma.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x -1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (.f64 -1/2 (*.f64 x (fma.f64 -1/2 x -1/2))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (fma.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x -1/2) 1/4)))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (/.f64 (cbrt.f64 (+.f64 1/4 (.f64 -1/2 (.f64 x (fma.f64 -1/2 x -1/2))))) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 (.f64 -1/2 x) (fma.f64 -1/2 x -1/2) 1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))) (cbrt.f64 (+.f64 1/4 (.f64 -1/4 (*.f64 x x))))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 1/2 x 1/2))) (cbrt.f64 (+.f64 1/4 (.f64 -1/4 (*.f64 x x)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (.f64 -1/2 (*.f64 x (fma.f64 -1/2 x -1/2))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (fma.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x -1/2) 1/4)))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3)))) 1) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (.f64 -1/2 (*.f64 x (fma.f64 -1/2 x -1/2))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (fma.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x -1/2) 1/4)))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) 1) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (.f64 -1/4 (.f64 x x)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (/.f64 (cbrt.f64 (+.f64 1/4 (.f64 -1/2 (.f64 x (fma.f64 -1/2 x -1/2))))) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 (.f64 -1/2 x) (fma.f64 -1/2 x -1/2) 1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))) (cbrt.f64 (+.f64 1/4 (.f64 -1/4 (*.f64 x x))))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 1/2 x 1/2))) (cbrt.f64 (+.f64 1/4 (.f64 -1/4 (*.f64 x x)))))
(pow.f64 (fma.f64 -1/2 x 1/2) 1/2)
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (fma.f64 -1/2 x 1/2))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (-.f64 1 x))
✓	0.9b	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	1.0b	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	6.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))

Compiler

Compiled 65 to 55 computations (15.4% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
0.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
0.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
0.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
0.0ms	x	@	0	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`associate-/r*`
808×	`distribute-lft-in`
716×	`associate-/l*`
636×	`associate-/r/`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	352	88
2	4597	88

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))

Outputs
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((x pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))))))

simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-+l+`
1216×	`+-commutative`
932×	`associate-r`
878×	`fma-def`
782×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	626	18852
1	1759	15942
2	7399	15676

Stop Event

1×	node limit

Counts

274 → 370

Calls

Call 1

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

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1/8 (/.f64 (.f64 x x) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/8 (/.f64 x (/.f64 (sqrt.f64 2) x)) (/.f64 1 (sqrt.f64 2))))
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2
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(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(.f64 (/.f64 2 (-.f64 1 (.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(.f64 (/.f64 2 (+.f64 1 (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 1 (.f64 (neg.f64 x) (neg.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) -1)) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(.f64 (/.f64 1 (.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (neg.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(.f64 (/.f64 -2 (neg.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 x))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 2))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 2)) (sqrt.f64 (+.f64 x (fma.f64 x x 1))))
(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 2))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 2)) (sqrt.f64 (+.f64 x (fma.f64 x x 1))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1 (pow.f64 x 3))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 x (fma.f64 x x 1))))
(.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(.f64 (/.f64 2 (.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(.f64 (/.f64 2 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(/.f64 2 (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 2))
(fabs.f64 (/.f64 2 (-.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(/.f64 1 (-.f64 1/2 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 2))
(fabs.f64 (/.f64 2 (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(/.f64 2 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(/.f64 2 (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)
✓	0.1b	(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3))
✓	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	6.6b	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))

Compiler

Compiled 110 to 94 computations (14.5% saved)

series37.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3))
1.0ms	x	@	0	(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)
1.0ms	x	@	-inf	(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)
1.0ms	x	@	inf	(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)
0.0ms	x	@	0	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`distribute-rgt-in`
582×	`distribute-lft-in`
570×	`associate-*r/`
510×	`associate-*l/`
392×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	146
1	413	130
2	4539	130

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

Inputs
(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3))
(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 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simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1000×	`fma-def`
892×	`+-commutative`
784×	`associate--l+`
768×	`*-commutative`
662×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	244	5738
1	570	5654
2	2352	5654
3	6164	5654

Stop Event

1×	node limit

Counts

150 → 129

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))) (pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64))))) 2))
(.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))) (pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64))))) 2))
(.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))) (pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64))))) 2))
(.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))) (pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64))))) 2))
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))) 3)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 0)
(+.f64 1 (-.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 1))
(-.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 (.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (-.f64 (.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1) (-.f64 (.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2)))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1)
(.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)
(.f64 1 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))
(.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) 1/3) (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(.f64 (pow.f64 1 1/3) (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3/2) 1/3))
(pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)) 1/3))
(log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3))) 1)
(.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 1)
(.f64 1 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3))
(.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)))
(.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3/2) (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3/2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)))
(.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(.f64 (.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) 1) (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(.f64 (.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(.f64 (.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) 3) (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))

Outputs
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))) (pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64))))) 2))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))) (pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64))))) 2))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))) (pow.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64))))) 2))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
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(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) (.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) 1) (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 3))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2) 3) (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 6))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3))))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3) 3))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)) 1))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))
(pow.f64 (log1p.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)

localize93.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	6.6b	(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))

Compiler

Compiled 175 to 150 computations (14.3% saved)

series13.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
1.0ms	x	@	0	(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))
0.0ms	x	@	inf	(cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-*r/`
512×	`add-sqr-sqrt`
488×	`*-un-lft-identity`
482×	`pow1`
476×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	235
1	546	215
2	6150	215

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))

(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)

(cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 1) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (-.f64 1 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 1) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (sqrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2) (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 1/16 (pow.f64 (PI.f64) 4))) (-.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3)) (+.f64 (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (-.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3))) (+.f64 (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2))))) (#(struct:change 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simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1550×	`associate-/r/`
644×	`associate-/l*`
644×	`associate-l`
640×	`associate-r`
616×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	390	19304
1	938	19028
2	4167	19028

Stop Event

1×	node limit

Counts

192 → 227

Calls

Call 1

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

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

localize333.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	6.8b	(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))

Compiler

Compiled 235 to 203 computations (13.6% saved)

series57.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

28.0ms

(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))

16.0ms

inf

(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))

13.0ms

-inf

(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`associate-*r/`
842×	`associate-*l/`
416×	`add-sqr-sqrt`
402×	`*-un-lft-identity`
398×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	411	49
2	5116	49

Stop Event

1×	node limit

Counts

1 → 112

Calls

Call 1

Inputs
(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4)) (pow.f64 2 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (+.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4)) (pow.f64 2 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))) 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/8) (pow.f64 (*.f64 (PI.f64) 1/2) 1/8) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4)) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 1/2 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))))

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-/l*`
930×	`associate-/r*`
880×	`associate-+l+`
848×	`associate-*r/`
824×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	15374
1	839	13640
2	3353	13368

Stop Event

1×	node limit

Counts

124 → 200

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1/4))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (.f64 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (+.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(+.f64 (+.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 0 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4) 0) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (+.f64 (.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1) (fma.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(+.f64 (+.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 0 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4) 0) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (+.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(+.f64 (+.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 0 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4) 0) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (+.f64 (.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 1) (fma.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(+.f64 (+.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 0 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (-.f64 (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4) 0) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (+.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (.f64 0 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))))
(+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (+.f64 (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4) 0) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
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(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) 2)
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) 3)
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 3) 1/3)
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)) 2))
(fabs.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) 3))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) 1))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(fma.f64 1 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/8) (pow.f64 (.f64 (PI.f64) 1/2) 1/8) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(fma.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4)) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(fma.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4)) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(-.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 1/4))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))
(fma.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 1/2 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))
(fma.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 1/2 1/4) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4)))
(-.f64 (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 1/2 1/4)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1/4))

eval2.0s (9.9%)

Compiler: Compiled 69621 to 60803 computations (12.7% saved)

prune700.0ms (3.4%)

Pruning

62 alts after pruning (58 fresh and 4 done)

	Pruned	Kept	Total
New	1468	32	1500
Fresh	13	26	39
Picked	1	0	1
Done	3	4	7
Total	1485	62	1547

Error

57.5b

Counts

1547 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	63.2b	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
	63.2b	(pow.f64 (pow.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 1/2 (PI.f64)))) 1/3) 3)
	59.6b	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
	59.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3))) (fma.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (.f64 (pow.f64 (PI.f64) 2) -1/4))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
	59.7b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) -1/16)) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (pow.f64 (PI.f64) 2) -1/4))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
	59.7b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
	59.6b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)
	59.7b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)
▶	58.8b	(/.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)) (.f64 (fma.f64 -1/2 (PI.f64) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
	59.7b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4)))
	59.6b	(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) -4) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))))
	59.7b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	59.6b	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 2) 4) (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	58.8b	(/.f64 (-.f64 (.f64 (.f64 -1/8 (pow.f64 (PI.f64) 3)) (.f64 -1/8 (pow.f64 (PI.f64) 3))) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8))) (.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (+.f64 (.f64 -1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8))))
	58.8b	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
	59.7b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4)) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
	58.8b	(/.f64 (-.f64 (.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (.f64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3) 64)) (.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4) (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
▶	59.6b	(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
▶	58.8b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
	58.8b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (-.f64 (.f64 -1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8)))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))
	59.6b	(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	59.6b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
	59.7b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	58.8b	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
▶	60.6b	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
▶	59.7b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))
	59.8b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))
	59.9b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (pow.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 2) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
	59.8b	(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	58.9b	(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2) (*.f64 (PI.f64) 1/2)))
	59.7b	(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) 3) 8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))))))
	63.2b	(.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
	63.3b	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) 2)))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.7b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.7b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3))
	59.6b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))))
	59.6b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) 3) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2) 3)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (+.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)))))
	58.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
✓	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	59.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/8) (pow.f64 (.f64 (PI.f64) 1/2) 1/8) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4)) (pow.f64 2 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))
	59.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (+.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4)) (pow.f64 2 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	60.8b	(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 2))
	59.6b	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
	58.8b	(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
	59.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.6b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 3))
	59.6b	(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
	59.6b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)) (-.f64 (.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) -1))))
	59.6b	(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
	59.7b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) 3)))
	59.6b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)))
	63.2b	(expm1.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))))
	63.2b	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
	59.6b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 3))

Compiler

Compiled 4944 to 4469 computations (9.6% saved)

localize553.0ms (2.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
✓	1.0b	(cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
✓	6.5b	(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))
✓	6.6b	(fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))

Compiler

Compiled 236 to 202 computations (14.4% saved)

series83.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
72.0ms	x	@	0	(cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
2.0ms	x	@	inf	(cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
2.0ms	x	@	-inf	(cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
1.0ms	x	@	inf	(cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
1.0ms	x	@	-inf	(cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))

rewrite354.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`associate-*r/`
538×	`add-sqr-sqrt`
516×	`*-un-lft-identity`
512×	`pow1`
500×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	172
1	554	164
2	6477	164

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

Inputs
(fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))
(cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (.f64 (PI.f64) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (PI.f64) -1/2) 1) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (-.f64 1 (.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (PI.f64) -1/2) (exp.f64 (log1p.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))))))

simplify226.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-+r+`
1268×	`associate-/r*`
1192×	`associate-+l+`
1082×	`fma-def`
830×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	25570
1	1261	20898
2	4986	20530

Stop Event

1×	node limit

Counts

284 → 315

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (PI.f64) -1/2))
(+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (*.f64 (PI.f64) -1/2) 1))
(+.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(+.f64 (.f64 (.f64 (PI.f64) -1/2) 1) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (-.f64 1 (.f64 (PI.f64) -1/2)))
(-.f64 (+.f64 (.f64 (PI.f64) -1/2) (exp.f64 (log1p.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)
(-.f64 (+.f64 (.f64 (.f64 (PI.f64) -1/2) 1) (exp.f64 (log1p.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)
(.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1)
(.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2))
(.f64 1 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (sqrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) 1) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (pow.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1/6)) (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) -1/2) (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (-.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3)) (-.f64 (+.f64 (.f64 (.f64 (PI.f64) -1/2) (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (.f64 (.f64 (PI.f64) -1/2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) -1/2) (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))) (-.f64 (.f64 (PI.f64) -1/2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3))) (-.f64 (+.f64 (.f64 (.f64 (PI.f64) -1/2) (.f64 (PI.f64) -1/2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
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(cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))
(exp.f64 (log.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 1 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 1 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) (fma.f64 -4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) (sqrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) (fma.f64 -4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 2) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) (fma.f64 -4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 1)
(.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1)
(.f64 1 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1/6) (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))) 1)
(.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1)
(.f64 1 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))
(.f64 (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) 1/6) (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))))
(/.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
(pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1)
(pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))

Outputs
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))
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(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
(pow.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1/3)
(cbrt.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))))
(cbrt.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 -1/2 (PI.f64))))
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(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
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(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
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(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
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(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
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(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
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(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (*.f64 (PI.f64) -1/2) 1))
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(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(+.f64 (.f64 (.f64 (PI.f64) -1/2) 1) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (-.f64 1 (.f64 (PI.f64) -1/2)))
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(-.f64 (+.f64 (.f64 (PI.f64) -1/2) (exp.f64 (log1p.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 1 (.f64 -1/2 (PI.f64))))
(fma.f64 -1/2 (PI.f64) (expm1.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(-.f64 (+.f64 (.f64 (.f64 (PI.f64) -1/2) 1) (exp.f64 (log1p.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)
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(fma.f64 -1/2 (PI.f64) (expm1.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 1)
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(.f64 1 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (sqrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(fma.f64 -1/2 (PI.f64) (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) 1) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
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(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))))
(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 -64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3)))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3) -64))) (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 4 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (.f64 (pow.f64 (PI.f64) 4) 1/16))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3) -64))) (cbrt.f64 (fma.f64 (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (.f64 (pow.f64 (PI.f64) 4) 1/16))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))))
(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 -64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3)))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3) -64))) (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 4 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (.f64 (pow.f64 (PI.f64) 4) 1/16))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3) -64))) (cbrt.f64 (fma.f64 (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (.f64 (pow.f64 (PI.f64) 4) 1/16))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) 1/3)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)) 1/6) 2)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) 3)
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 2))
(fabs.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))))))
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 1/3))
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) 1))
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))))
(cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))

localize21.0ms (0.1%)

Compiler: Compiled 27 to 25 computations (7.4% saved)

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
✓	0.0b	(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	1.0b	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	6.6b	(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))

Compiler

Compiled 129 to 110 computations (14.7% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
0.0ms	x	@	0	(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
0.0ms	x	@	0	(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`associate-/r*`
510×	`add-sqr-sqrt`
494×	`*-un-lft-identity`
490×	`pow1`
476×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	167
1	507	167
2	6576	167

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))

(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))

(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (-.f64 1 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (-.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4))) (/.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-*r/`
1470×	`distribute-lft-in`
1272×	`associate-*l/`
1250×	`associate-/r*`
506×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	290	9908
1	706	8806
2	2736	8806

Stop Event

1×	node limit

Counts

126 → 163

Calls

Call 1

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

Outputs
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))) 2))
(fabs.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(fabs.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 3))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 1)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 3))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(exp.f64 (.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)

localize89.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
✓	1.0b	(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
✓	6.6b	(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
✓	58.6b	(fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))

Compiler

Compiled 153 to 134 computations (12.4% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
1.0ms	x	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
0.0ms	x	@	inf	(fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
0.0ms	x	@	-inf	(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
0.0ms	x	@	0	(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`associate-*r/`
1006×	`associate-*l/`
420×	`add-sqr-sqrt`
402×	`pow1`
402×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	188
1	418	148
2	5091	148

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))

Outputs
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#<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))))

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-r`
398×	`associate-l`
348×	`times-frac`
316×	`associate-/l*`
246×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	14913
1	871	14913
2	5335	14913

Stop Event

1×

unsound

Counts

213 → 177

Calls

Call 1

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

Outputs
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 3)
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2) 1/3)
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fabs.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/2))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))

localize100.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (fma.f64 -1/2 (PI.f64) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
✓	1.5b	(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)
✓	1.6b	(pow.f64 (PI.f64) 4)
✓	6.5b	(fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))

Compiler

Compiled 187 to 160 computations (14.4% saved)

series4.0ms (0%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))
1.0ms	x	@	inf	(fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))
1.0ms	x	@	-inf	(fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))
0.0ms	x	@	inf	(.f64 (fma.f64 -1/2 (PI.f64) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
0.0ms	x	@	-inf	(.f64 (fma.f64 -1/2 (PI.f64) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`distribute-lft-in`
554×	`add-sqr-sqrt`
534×	`*-un-lft-identity`
526×	`pow1`
516×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	160
1	588	160
2	6387	160

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

Inputs
(fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))
(pow.f64 (PI.f64) 4)
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16) (.f64 1/16 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 1) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 1)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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(pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) (pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) 2) (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (.f64 256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8))) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16) 3) (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 3)) (-.f64 (+.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (.f64 256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8))) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (.f64 256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8)))) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16) 3) (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 3))) (-.f64 (+.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (.f64 256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8))) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (.f64 256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8))) 1) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16) 3) (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (.f64 256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8))) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1530×	`unswap-sqr`
1098×	`associate-/l*`
776×	`associate-r`
700×	`associate-l`
594×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	8996
1	883	8790
2	3657	8742

Stop Event

1×	node limit

Counts

138 → 160

Calls

Call 1

Inputs
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(+.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1))
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))
(+.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 1) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))
(+.f64 (.f64 1 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 1)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) (-.f64 1 (.f64 1/16 (pow.f64 (PI.f64) 4))))
(-.f64 (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (exp.f64 (log1p.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 1) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))) 1)
(.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)) 1)
(.f64 1 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))
(.f64 (sqrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) (sqrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))
(.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) (pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))) 2) (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16))))
(/.f64 (-.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (.f64 256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8))) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)))
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(/.f64 (.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (pow.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3))) (-.f64 (+.f64 (.f64 (.f64 (PI.f64) -1/2) (.f64 (PI.f64) -1/2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (.f64 (.f64 (PI.f64) -1/2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) -1/2) (.f64 (PI.f64) -1/2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (-.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (-.f64 (+.f64 (.f64 (.f64 (PI.f64) -1/2) (.f64 (PI.f64) -1/2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (.f64 (.f64 (PI.f64) -1/2) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 16)) (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 3) (pow.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 3)) (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) (-.f64 (+.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 16)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(pow.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 3) (pow.f64 (fma.f64 -1/2 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))))

Outputs
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (+.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (.f64 -1/2 (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (+.f64 (.f64 -1/2 (PI.f64)) (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
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(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 2)
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 3)
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 3) 1/3)
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 2))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 2))
(fabs.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) 3))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 3)))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 3) (pow.f64 (fma.f64 -1/2 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) 3)))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 1))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))))
(.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 (fma.f64 -1/2 (PI.f64) (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2)) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 -1/2 (PI.f64))) (fma.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))

eval2.0s (9.6%)

Compiler: Compiled 60389 to 53107 computations (12.1% saved)

prune582.0ms (2.8%)

Pruning

72 alts after pruning (66 fresh and 6 done)

	Pruned	Kept	Total
New	1041	25	1066
Fresh	12	41	53
Picked	1	0	1
Done	2	6	8
Total	1056	72	1128

Error

57.4b

Counts

1128 → 72

Alt Table

Click to see full alt table

Status	Error	Program
	63.2b	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
	59.6b	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
	59.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3))) (fma.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (.f64 (pow.f64 (PI.f64) 2) -1/4))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
	59.7b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) -1/16)) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (pow.f64 (PI.f64) 2) -1/4))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
	59.6b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)
	59.7b	(/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
	59.7b	(/.f64 (fma.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (cbrt.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	62.1b	(/.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)) (/.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 16)))))
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	63.3b	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3) 2)))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.7b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3))
	59.6b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) 3) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2) 3)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (+.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)))))
	58.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
✓	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	59.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/8) (pow.f64 (.f64 (PI.f64) 1/2) 1/8) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4)) (pow.f64 2 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)))))
	59.9b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (+.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4)) (pow.f64 2 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))))))
	59.8b	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	59.6b	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
	58.8b	(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
	59.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	59.6b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 3))
	59.6b	(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
	59.6b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)) (-.f64 (.f64 (+.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) -1))))
	59.6b	(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
	59.6b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)))
	63.2b	(expm1.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))))
	63.2b	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))

Compiler

Compiled 3119 to 2815 computations (9.7% saved)

regimes436.0ms (2.1%)

Counts

117 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2) (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)))
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 3))
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))))
(/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2)) (.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 1)) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (exp.f64 (log1p.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))))) 1) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 1/2 (PI.f64)))) 1/3) 3)
(expm1.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (fabs.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))))))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))

Outputs

(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))

Calls

7 calls:

57.0ms	x
47.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
44.0ms	(-.f64 1 x)
13.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
13.0ms	(/.f64 (-.f64 1 x) 2)

Results

Error	Segments	Branch
58.8b	1	`x`
58.8b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.8b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.8b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.8b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.8b	1	`(/.f64 (-.f64 1 x) 2)`
58.8b	1	`(-.f64 1 x)`

Compiler

Compiled 4953 to 4335 computations (12.5% saved)

regimes258.0ms (1.3%)

Counts

103 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2) (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)) 3) 1/3)
(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)))
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 3)))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) 3))
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))))
(/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2)) (.f64 1/2 (PI.f64))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 1)) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (exp.f64 (log1p.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))))) 1) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 1/2 (PI.f64)))) 1/3) 3)
(expm1.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (fabs.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3)
(log.f64 (exp.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 3))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 2))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
(/.f64 (/.f64 (-.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (.f64 1/16 (pow.f64 (PI.f64) 4))) (-.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 3)
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(/.f64 (fma.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (cbrt.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2)))
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(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 1/3)) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
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(/.f64 (/.f64 (+.f64 (.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 3))) (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))))) (+.f64 (.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (.f64 -64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 3))))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (fma.f64 1/16 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)) (.f64 (fma.f64 -1/2 (PI.f64) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
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(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) 2) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
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(/.f64 (/.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 -256 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 8))) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 -16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4)))) (.f64 (fma.f64 -1/2 (PI.f64) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))))
(/.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)) (/.f64 (fma.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (.f64 -1/2 (PI.f64))) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 16)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (.f64 64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) 3))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))))

Outputs

(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 (PI.f64) -1/2))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))

Calls

7 calls:

50.0ms	x
23.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
12.0ms	(-.f64 1 x)
12.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
10.0ms	(/.f64 (-.f64 1 x) 2)

Results

Error	Segments	Branch
58.8b	1	`x`
58.8b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.8b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.8b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.8b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.8b	1	`(/.f64 (-.f64 1 x) 2)`
58.8b	1	`(-.f64 1 x)`

Compiler

Compiled 3804 to 3330 computations (12.5% saved)

regimes173.0ms (0.8%)

Counts

83 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))

Calls

7 calls:

37.0ms	x
13.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
9.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
9.0ms	(-.f64 1 x)
8.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Error	Segments	Branch
58.8b	1	`x`
58.8b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.8b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.8b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.8b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.8b	1	`(/.f64 (-.f64 1 x) 2)`
58.8b	1	`(-.f64 1 x)`

Compiler

Compiled 2613 to 2287 computations (12.5% saved)

regimes6.0ms (0%)

Accuracy

Total -1.9b remaining (-3.2%)

Threshold costs -1.9b (-3.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))

Outputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
60.6b	1	`x`

Compiler

Compiled 32 to 29 computations (9.4% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative`
28×	`+-commutative`
12×	`distribute-lft-neg-in`
12×	`sub-neg`
12×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	384
1	84	384
2	111	384
3	123	384
4	131	384
5	133	384

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (PI.f64) -1/2))) 2) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))

Outputs
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) 2) (cbrt.f64 (fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) -4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (PI.f64) -1/2))) 2) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 (PI.f64) -1/2))) 2) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) (cbrt.f64 (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
(+.f64 (.f64 (PI.f64) -1/2) (.f64 2 (acos.f64 (sqrt.f64 1/2))))

Compiler

Compiled 124 to 112 computations (9.7% saved)

soundness100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1094×	`associate-r`
848×	`associate-l`
688×	`+-commutative`
566×	`*-commutative`
432×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	25253
1	2008	21627

Stop Event

1×	node limit

Compiler

Compiled 209 to 174 computations (16.7% saved)

end121.0ms (0.6%)

Compiler: Compiled 121 to 106 computations (12.4% saved)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33