Metrics for Ian Simplification

analyze4.0ms (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)

sample3.5s (4.9%)

Results

2.1s	4058×	body	1024	valid
691.0ms	2066×	body	512	valid
464.0ms	447×	body	2048	valid
286.0ms	1685×	body	256	valid
0.0ms	3×	body	256	invalid

Bogosity

preprocess370.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def`
136×	`*-commutative`
128×	`+-commutative`
118×	`sub-neg`
76×	`associate--r+`

Problems

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	127
1	51	123
2	91	111
3	162	103
4	261	99
5	404	99
6	555	99
7	682	99
8	859	99
9	1031	99
10	1140	99
11	1157	99

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.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 (-.f64 1 x) 2)))))

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

Compiler

Compiled 66 to 56 computations (15.2% saved)

eval5.0ms (0%)

Compiler: Compiled 203 to 166 computations (18.2% saved)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
▶	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))

Compiler

Compiled 60 to 56 computations (6.7% saved)

localize626.0ms (0.9%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	9.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	95.2%	(+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))
	98.5%	(asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))
	100.0%	(sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))
	100.0%	(-.f32 1/2 (/.f32 (binary64->binary32 x) 2))
✓	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	100.0%	(sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))
✓	98.5%	(asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))
✓	95.2%	(+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))
✓	13.0%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))

Compiler

Compiled 126 to 97 computations (23% saved)

series6.0ms (0%)

Counts

6 → 36

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms	x	@	0	(sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))
1.0ms	x	@	0	(+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -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	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

rewrite139.0ms (0.2%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

437×	`associate-*r/`
388×	`associate-l`
380×	`associate-r`
355×	`associate-*l/`
298×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	192
1	132	180
2	1015	164

Stop Event

1×	node limit

Counts

6 → 250

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))
(asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))
(sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))
(-.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)))

Outputs
(-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) (.f32 (PI.f32) -1/2))
(-.f32 (/.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))) (/.f32 (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2) (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))))
(.f32 (fma.f32 (PI.f32) 1/2 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2)) (.f32 (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))) (/.f32 1 (fma.f32 (PI.f32) 1/2 (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))))))
(.f32 1 (fma.f32 (PI.f32) 1/2 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2)))
(.f32 (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2)) (/.f32 1 (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))))
(.f32 (fma.f32 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 3) -8 (.f32 1/8 (pow.f32 (PI.f32) 3))) (/.f32 1 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32)))))))
(.f32 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32))))) (.f32 (fma.f32 (PI.f32) 1/2 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2)) (/.f32 1 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32))))))))
(.f32 (-.f32 (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2) (pow.f32 (.f32 (PI.f32) 1/2) 2)) (/.f32 1 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 (PI.f32) -1/2))))
(.f32 (/.f32 1 (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))) (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2)))
(.f32 (/.f32 1 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32)))))) (fma.f32 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 3) -8 (*.f32 1/8 (pow.f32 (PI.f32) 3))))
(.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2))) (/.f32 1 (neg.f32 (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))))))
(.f32 (neg.f32 (fma.f32 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 3) -8 (.f32 1/8 (pow.f32 (PI.f32) 3)))) (/.f32 1 (neg.f32 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32))))))))
(.f32 (/.f32 (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2)) (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2))) (fma.f32 (PI.f32) 1/2 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2)))
(.f32 (/.f32 (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2)) (+.f32 (.f32 1/8 (pow.f32 (PI.f32) 3)) (.f32 8 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 3)))) (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32))))))
(.f32 (/.f32 (fma.f32 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 3) -8 (.f32 1/8 (pow.f32 (PI.f32) 3))) (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 4) (.f32 (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2) (.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 (PI.f32) -1/2)) (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 (PI.f32) -1/2)))))) (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32))))))
(.f32 (/.f32 (fma.f32 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 3) -8 (.f32 1/8 (pow.f32 (PI.f32) 3))) (+.f32 (pow.f32 (.f32 (PI.f32) 1/2) 6) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32)))) 3))) (+.f32 (pow.f32 (.f32 (PI.f32) 1/2) 4) (.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32)))) (-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32)))) (pow.f32 (.f32 (PI.f32) 1/2) 2)))))
(/.f32 (fma.f32 (PI.f32) 1/2 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2)) (/.f32 (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))) (fma.f32 (PI.f32) 1/2 (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))))
(/.f32 1 (/.f32 1 (fma.f32 (PI.f32) 1/2 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2))))
(/.f32 1 (/.f32 (/.f32 1 (fma.f32 (PI.f32) 1/2 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2))) 1))
(/.f32 1 (/.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 (PI.f32) -1/2)) (-.f32 (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2) (pow.f32 (*.f32 (PI.f32) 1/2) 2))))
(/.f32 1 (/.f32 (neg.f32 (fma.f32 (PI.f32) 1/2 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))) (neg.f32 (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2)))))
(/.f32 1 (/.f32 (neg.f32 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (-.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4) (neg.f32 (PI.f32)))))) (neg.f32 (fma.f32 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 3) -8 (.f32 1/8 (pow.f32 (PI.f32) 3))))))
(/.f32 (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (pow.f32 (.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2) 2)) (fma.f32 (PI.f32) 1/2 (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))) (.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))))) (+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 3) (pow.f64 (fma.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)))))) 3)) (+.f64 (.f64 (fma.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))))))) (-.f64 (.f64 (fma.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)))))) (fma.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 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 1/2 x)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) 3) (pow.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) 3) (pow.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) 3)) (+.f64 (.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))) (+.f64 (.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))) (.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) 1) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) 1) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))) (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))))
(/.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 1/2 x)))) 3) 3))) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))) (+.f64 (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (pow.f64 (.f64 1/2 (PI.f64)) 6)))
(pow.f64 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) -1)
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64)))
(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 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 1 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.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)))))))
(fma.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (fma.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)))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 -1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2 (.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64)))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (asin.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 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (/.f64 1 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 1 (/.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))))
(/.f64 (.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (-.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))

Calls

18 calls:

2.0ms	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
0.0ms	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
0.0ms	(+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))
0.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
0.0ms	(asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))

simplify269.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1083×	`fma-def`
482×	`associate-l`
476×	`associate-r`
441×	`*-commutative`
416×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	680	21400
1	1777	20188
2	6515	20106

Stop Event

1×	node limit

Counts

286 → 358

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
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(+.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64)))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (asin.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 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (/.f64 1 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 1 (/.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))))
(/.f64 (.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (-.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(cbrt.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(binary64->binary32 (binary32->binary64 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))
(binary64->binary32 (binary32->binary64 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))
(binary64->binary32 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))
(binary64->binary32 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2))))
(binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))))
(binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))))
(binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))))
(binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2)))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (*.f32 2 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))

Outputs
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 (binary64->binary32 x) -1/2)))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (*.f32 1/2 (PI.f32))))
(-.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 -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 -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 -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 -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 -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 -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 -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 -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 x))))))
(fma.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 x))))))
(fma.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 x))))))
(fma.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 x))))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (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 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 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 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 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 x))))
(log1p.f64 (expm1.f64 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) (/.f32 (PI.f32) 2)))
(expm1.f64 (log1p.f64 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) (/.f32 (PI.f32) 2)))
(.f64 (sqrt.f64 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))) (sqrt.f64 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) (/.f32 (PI.f32) 2)))
(.f64 1 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))))
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(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (-.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 3)) (/.f64 1 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(fma.f64 1/2 (PI.f64) (neg.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)))))
(fma.f64 (PI.f64) 1/2 (neg.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)))))
(fma.f64 1 (.f64 1/2 (PI.f64)) (neg.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)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(-.f64 (.f64 -1/2 (neg.f64 (PI.f64))) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) -1/2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(cbrt.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))
(binary64->binary32 (binary32->binary64 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))
(binary64->binary32 (binary32->binary64 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))
(binary64->binary32 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))
(binary64->binary32 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2))))
(binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))))
(binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))))
(binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))))))
(binary64->binary32 (binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) (/.f32 (PI.f32) 2))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2))))))))
(binary64->binary32 (binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) (/.f32 (PI.f32) 2))))
(binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2)))
(binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))))))
(binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) (/.f64 (PI.f32) 2)))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (*.f32 2 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) (/.f32 (PI.f32) 2)))

eval329.0ms (0.5%)

Compiler: Compiled 15418 to 12634 computations (18.1% saved)

prune223.0ms (0.3%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	334	24	358
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	334	26	360

Accuracy

10.9%

Counts

360 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))) (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)))))
	7.5%	(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) 3)) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) 3))) (fma.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))))) (+.f64 (.f64 (/.f64 1/8 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (pow.f64 (PI.f64) 3)) (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))))
▶	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 1/512 (pow.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (PI.f64) 3)) 3)) (pow.f64 (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) 3)) (fma.f64 (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (.f64 (/.f64 1/8 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (pow.f64 (PI.f64) 3)) (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)))) (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))))))
	7.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))))
	7.5%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
▶	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
▶	5.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	7.5%	(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (neg.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
	7.5%	(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))))
	7.5%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	6.6%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
✓	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
▶	5.3%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
▶	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))) (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)))))
	7.5%	(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) 3)) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) 3))) (fma.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))))) (+.f64 (.f64 (/.f64 1/8 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (pow.f64 (PI.f64) 3)) (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))))
▶	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 1/512 (pow.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (PI.f64) 3)) 3)) (pow.f64 (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) 3)) (fma.f64 (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (.f64 (/.f64 1/8 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (pow.f64 (PI.f64) 3)) (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)))) (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))))))
	7.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))))
	7.5%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
▶	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
▶	5.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	7.5%	(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (neg.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
	7.5%	(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))))
	7.5%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	6.6%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
✓	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
▶	5.3%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))

Compiler

Compiled 5912 to 5112 computations (13.5% saved)

localize39.8s (55.8%)

Localize:

Found 38 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))
	100.0%	(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
	100.0%	(/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))
	100.0%	(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))
	98.5%	(fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64))))
	99.3%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	100.0%	(.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))
	100.0%	(+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))
	9.3%	(+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))
	13.0%	(binary32->binary64 (binary64->binary32 x))
	13.0%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2))))
	57.0%	(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
	98.5%	(asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2)))
	100.0%	(sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))
	100.0%	(-.f32 1 (binary64->binary32 x))
	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	99.9%	(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	97.6%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)
✓	97.5%	(pow.f64 (*.f64 1/2 (PI.f64)) 4)
✓	9.4%	(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	98.5%	(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	9.4%	(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2))))
✓	13.0%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
✓	13.0%	(binary32->binary64 (binary64->binary32 x))
✓	9.3%	(+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))
✓	100.0%	(sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))
✓	98.5%	(asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2)))
✓	57.0%	(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	99.9%	(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))

Compiler

Compiled 879 to 714 computations (18.8% saved)

series30.0ms (0%)

Counts

19 → 128

Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
3.0ms	x	@	-inf	(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
3.0ms	x	@	inf	(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
2.0ms	x	@	0	(sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))
2.0ms	x	@	0	(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8))

rewrite327.0ms (0.5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1225×	`fma-def`
877×	`*-commutative`
557×	`fma-neg`
555×	`distribute-lft-in`
540×	`flip-+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	673
1	312	579
2	2571	523

Stop Event

1×	node limit

Counts

19 → 655

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (.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)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2)))
(sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))
(+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))
(binary32->binary64 (binary64->binary32 x))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8))
(pow.f64 (PI.f64) 3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
(pow.f64 (*.f64 1/2 (PI.f64)) 4)
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))

Outputs
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)))
(+.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2))) (neg.f64 (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)))))
(+.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (neg.f64 (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (.f64 1/4 (pow.f64 (PI.f64) 2))))))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(.f64 (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(.f64 (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))))
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(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (/.f64 1 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(.f64 (/.f64 1 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (pow.f64 (acos.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 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))))) (+.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))

Calls

57 calls:

1.0ms	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0.0ms	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0.0ms	(pow.f64 (PI.f64) 3)
0.0ms	(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
0.0ms	(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)

simplify735.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1040×	`*-commutative`
769×	`fma-def`
720×	`associate-/r*`
627×	`+-commutative`
556×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1354	63641
1	3412	60239

Stop Event

1×	node limit

Counts

783 → 853

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)))))
(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))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (*.f32 (sqrt.f32 1/2) (sqrt.f32 (-.f32 1 (binary64->binary32 x))))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))) (*.f64 1/2 (PI.f64)))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))))) (+.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(cbrt.f64 (.f64 (.f64 (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))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(binary64->binary32 (binary32->binary64 (-.f32 1 (binary64->binary32 x))))
(binary64->binary32 (binary32->binary64 (-.f32 1 (binary64->binary32 x))))
(binary64->binary32 (-.f64 1 (binary32->binary64 (binary64->binary32 x))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(binary64->binary32 (sqrt.f64 (/.f64 (-.f64 1 (binary32->binary64 (binary64->binary32 x))) 2)))
(binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2)))))
(binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2)))))
(binary64->binary32 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (binary32->binary64 (binary64->binary32 x))) 2))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 (binary32->binary64 (binary64->binary32 x))) 2)))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 x))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 (binary32->binary64 (binary64->binary32 x))) 2)))) -2)))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32)))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
(binary32->binary64 (/.f32 (fma.f32 (pow.f32 (PI.f32) 3) 1/8 (.f32 (pow.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 3) -8)) (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64))))))
(binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32)))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (/.f32 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 4) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))))
(binary32->binary64 (+.f32 (/.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))) (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (*.f32 1/2 (PI.f32))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))

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 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -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 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -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 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -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 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -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 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -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 (fma.f64 x -1/2 1/2))))))
(fma.f64 1/2 (PI.f64) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -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 (fma.f64 x -1/2 1/2))))))
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(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64)))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (fma.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (*.f32 -1/2 (binary64->binary32 x))))) 4 (PI.f32))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (fma.f32 4 (asin.f32 (sqrt.f32 (+.f32 1/2 (*.f32 -1/2 (binary64->binary32 x))))) (PI.f32))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64)))))))
(binary32->binary64 (/.f32 (fma.f32 (pow.f32 (PI.f32) 3) 1/8 (.f32 (pow.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 3) -8)) (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(binary32->binary64 (/.f32 (fma.f32 (pow.f32 (PI.f32) 3) 1/8 (.f32 -8 (pow.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) 3))) (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (fma.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) 4 (PI.f32))))))
(binary32->binary64 (/.f32 (fma.f32 (pow.f32 (PI.f32) 3) 1/8 (.f32 -8 (pow.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) 3))) (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (fma.f32 4 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (PI.f32))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64))))))
(binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32)))))
(binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (fma.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) 4 (PI.f32)))))
(binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (fma.f32 4 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (PI.f32)))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (pow.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) (pow.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))))
(binary32->binary64 (/.f32 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 4) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))
(binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))) 4) (.f32 (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))) (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (*.f32 1/2 (PI.f32))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (pow.f64 (.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)))))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (pow.f64 (.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)))))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(binary32->binary64 (+.f32 (/.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))) (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (*.f32 1/2 (PI.f32))))))
(binary32->binary64 (+.f32 (/.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))) (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (*.f32 1/2 (PI.f32))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))
(binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))

eval2.3s (3.2%)

Compiler: Compiled 79585 to 67362 computations (15.4% saved)

prune454.0ms (0.6%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1040	23	1063
Fresh	9	10	19
Picked	1	4	5
Done	0	2	2
Total	1050	39	1089

Accuracy

11.0%

Counts

1089 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.3%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	6.7%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
	6.4%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2))) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) 2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (fma.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 -1 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 4) (pow.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (fma.f64 (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))) (/.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16) (pow.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.4%	(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
▶	7.5%	(/.f64 (/.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
▶	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (cbrt.f64 (.f64 (.f64 (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))))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
✓	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	6.6%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (exp.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (+.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	5.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	7.5%	(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (neg.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
▶	9.3%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.5%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	9.3%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
▶	6.7%	(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
✓	5.3%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
▶	9.3%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	6.7%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
	6.4%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2))) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16) (pow.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) 2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (fma.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 -1 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 4) (pow.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (fma.f64 (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))) (/.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16) (pow.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.4%	(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
▶	7.5%	(/.f64 (/.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
▶	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (cbrt.f64 (.f64 (.f64 (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))))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
✓	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	6.6%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (exp.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (+.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	5.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	7.5%	(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
	7.5%	(+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (neg.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
▶	9.3%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.5%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	9.3%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
▶	6.7%	(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
✓	5.3%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))

Compiler

Compiled 8460 to 7378 computations (12.8% saved)

localize8.5s (11.9%)

Localize:

Found 40 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))
	100.0%	(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))
	100.0%	(fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
	100.0%	(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))
	99.3%	(.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	99.6%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	99.9%	(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	99.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	100.0%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)
	100.0%	(-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
	100.0%	(-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))
	100.0%	(acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))
	100.0%	(sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))
	100.0%	(-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))
	99.9%	(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
	100.0%	(.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))
	100.0%	(+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	97.6%	(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
✓	97.5%	(pow.f64 (PI.f64) 4)
✓	9.5%	(+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
✓	99.6%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
✓	99.3%	(.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
✓	98.9%	(cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
✓	100.0%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)
✓	99.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	9.4%	(-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (*.f64 1/2 (PI.f64)) 2))
✓	100.0%	(acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))
✓	100.0%	(-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))
✓	95.2%	(-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))))
✓	13.0%	(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	98.5%	(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
	98.4%	(pow.f64 (PI.f64) 3)
✓	9.4%	(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))

Compiler

Compiled 1101 to 908 computations (17.5% saved)

series46.0ms (0.1%)

Counts

15 → 120

Calls

42 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
3.0ms	x	@	0	(+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
3.0ms	x	@	inf	(+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
3.0ms	x	@	-inf	(+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
3.0ms	x	@	0	(.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))

rewrite265.0ms (0.4%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1716×	`fma-def`
824×	`*-commutative`
748×	`fma-neg`
552×	`flip-+`
455×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	781
1	406	567
2	3432	551

Stop Event

1×	node limit

Counts

15 → 588

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))))
(-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))
(acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))
(-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (*.f64 1/2 (PI.f64)) 2))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)
(cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
(pow.f64 (PI.f64) 4)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)

Outputs
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(+.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8))
(.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(.f64 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(/.f64 (fma.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (neg.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6))) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (-.f64 (.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 8)))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2))
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
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(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) 2) (fma.f64 16 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) -1/16))) (/.f64 (pow.f64 (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) 2) (fma.f64 16 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) -1/16)))) (.f64 (/.f64 (pow.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) 2) (fma.f64 16 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) -1/16))) (/.f64 (pow.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) 2) (fma.f64 16 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) -1/16))))) (+.f64 (/.f64 (pow.f64 (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) 2) (fma.f64 16 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) -1/16))) (/.f64 (pow.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) 2) (fma.f64 16 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))) -1/16)))))
(fma.f64 16 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (/.f64 16 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 (/.f64 16 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(fma.f64 (/.f64 1/16 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (pow.f64 (PI.f64) 4) (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 1 (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(fma.f64 1 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 16 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 4) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) 1/16 (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 -16 (/.f64 1 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(fma.f64 -1/16 (/.f64 1 (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (PI.f64) -4))) (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (/.f64 16 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))))
(fma.f64 (.f64 (/.f64 1/16 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2) (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (pow.f64 (PI.f64) 4)) (/.f64 -16 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(fma.f64 (/.f64 16 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2))))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))
(exp.f64 (*.f64 4 (log.f64 (PI.f64))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (PI.f64))) (.f64 2 (log.f64 (PI.f64)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(exp.f64 (*.f64 4 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))

Calls

50 calls:

1.0ms	(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))
0.0ms	(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))
0.0ms	(-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (*.f64 1/2 (PI.f64)) 2))
0.0ms	(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
0.0ms	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))

simplify655.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-l`
863×	`*-commutative`
760×	`fma-def`
486×	`distribute-lft-in`
476×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1217	60512
1	2997	56910

Stop Event

1×	node limit

Counts

708 → 835

Calls

Call 1

Inputs
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
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(.f64 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
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(binary32->binary64 (fma.f32 (pow.f32 (PI.f32) 3) 1/8 (.f32 (pow.f32 (-.f32 (.f32 (PI.f32) 1/2) (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))) 3) -8)))
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(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(binary32->binary64 (/.f32 (-.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
(.f64 2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 -2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(.f64 -2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)
(.f64 (.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 (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))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) -2)
(.f64 (.f64 -2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log1p.f64 (expm1.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(.f64 (sqrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (sqrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
(.f64 1 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) 1)
(exp.f64 (log.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(log.f64 (exp.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))))
(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 1/6) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 1/3))
(/.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (cbrt.f64 (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/8))) (cbrt.f64 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (.f64 (PI.f64) 1/2) 2))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 1)
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(.f64 1 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 1)
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(binary32->binary64 (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 2))
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))))))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))) (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 1 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (cbrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))) (cbrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(pow.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) 1)
(exp.f64 (log.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(log.f64 (exp.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (.f32 (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))) (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))))
(+.f64 (.f64 (PI.f64) 1/2) (.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))
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(binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (binary32->binary64 (binary64->binary32 x)))))))
(binary64->binary32 (binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))
(binary64->binary32 (binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))
(binary64->binary32 (-.f64 (.f64 1/2 (PI.f32)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (binary32->binary64 (binary64->binary32 x))))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(binary32->binary64 (/.f32 (-.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (.f32 (.f32 (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))) (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))) (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (.f32 (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))) (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (/.f32 (PI.f32) -2)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
(binary32->binary64 (/.f32 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (/.f32 (PI.f32) -2)) (pow.f32 (PI.f32) 4)))

Outputs
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (+.f32 (.f32 1/2 (PI.f32)) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
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(binary32->binary64 (binary64->binary32 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))
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(binary32->binary64 (binary64->binary32 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))
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(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
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(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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
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(/.f64 (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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)))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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)))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
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(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
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(/.f64 (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
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(.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) -2)
(*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
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(.f64 (.f64 -2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
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(*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
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(binary32->binary64 (binary64->binary32 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(binary32->binary64 (binary64->binary32 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (binary64->binary32 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(binary32->binary64 (binary64->binary32 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(binary32->binary64 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2))
(binary32->binary64 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))) 2))
(binary32->binary64 (pow.f32 (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)))
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(cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))
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(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
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(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2))
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(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))) (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))))))
(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)
(log1p.f64 (expm1.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(.f64 1 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (cbrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))) (cbrt.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(cbrt.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2))
(pow.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) 1)
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(exp.f64 (log.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(log.f64 (exp.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)))
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2)))
(binary32->binary64 (.f32 (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))) (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))))
(binary32->binary64 (.f32 (cbrt.f32 (+.f32 (/.f32 (PI.f32) 2) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))))))) (cbrt.f32 (+.f32 (/.f32 (PI.f32) 2) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (*.f32 -1/2 (binary64->binary32 x)))))))))))
(binary32->binary64 (.f32 (cbrt.f32 (+.f32 (/.f32 (PI.f32) 2) (.f32 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2))) (cbrt.f32 (+.f32 (/.f32 (PI.f32) 2) (.f32 (-.f32 (*.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2)))) -2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (PI.f64) 1/2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0))
(+.f64 (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))) (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) -1/2)))
(+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))
(+.f64 (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 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 0))
(+.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 4 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
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(+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(cbrt.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(cbrt.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)))
(pow.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) 1)
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(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4)))) (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))) (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))))
(cbrt.f64 (.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4))) (.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4))) (+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4))))))
(cbrt.f64 (.f64 (fma.f64 (/.f64 16 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))))) (pow.f64 (fma.f64 (/.f64 16 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))))) 2)))
(pow.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4)))) 1)
(+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4)))
(fma.f64 (/.f64 16 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))))
(+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4)))
(fma.f64 (/.f64 16 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)))))
(log.f64 (exp.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))))
(+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4)))
(fma.f64 (/.f64 16 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 16 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 16 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (pow.f64 (PI.f64) 4)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 16 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (.f64 (pow.f64 (PI.f64) 4) (/.f64 1/16 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)))))))
(binary32->binary64 (+.f32 (/.f32 16 (/.f32 (fma.f32 1/2 (PI.f32) (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))) (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4))) (/.f32 1/16 (/.f32 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (/.f32 (PI.f32) -2)) (pow.f32 (PI.f32) 4)))))
(binary32->binary64 (+.f32 (.f32 (/.f32 16 (fma.f32 1/2 (PI.f32) (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))) (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4)) (*.f32 (/.f32 1/16 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (/.f32 (PI.f32) -2))) (pow.f32 (PI.f32) 4))))
(binary32->binary64 (fma.f32 (/.f32 1/16 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) (/.f32 (PI.f32) -2))) (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) 4) (/.f32 16 (fma.f32 2 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) (.f32 1/2 (PI.f32)))))))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 4)
(exp.f64 (*.f64 4 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 4)
(exp.f64 (+.f64 (.f64 2 (log.f64 (PI.f64))) (.f64 2 (log.f64 (PI.f64)))))
(pow.f64 (PI.f64) 4)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 4)))
(pow.f64 (PI.f64) 4)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 4)))
(pow.f64 (PI.f64) 4)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 4)) (sqrt.f64 (pow.f64 (PI.f64) 4)))
(pow.f64 (PI.f64) 4)
(*.f64 1 (pow.f64 (PI.f64) 4))
(pow.f64 (PI.f64) 4)
(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 4)))
(pow.f64 (PI.f64) 4)
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 4)) (pow.f64 (PI.f64) 4)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 8)))
(pow.f64 (pow.f64 (PI.f64) 4) 1)
(pow.f64 (PI.f64) 4)
(exp.f64 (log.f64 (pow.f64 (PI.f64) 4)))
(pow.f64 (PI.f64) 4)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 4)))
(pow.f64 (PI.f64) 4)
(binary32->binary64 (binary64->binary32 (pow.f64 (PI.f64) 4)))
(binary32->binary64 (binary64->binary32 (pow.f64 (PI.f64) 4)))
(binary32->binary64 (pow.f32 (PI.f32) 4))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(exp.f64 (*.f64 4 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
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(exp.f64 (+.f64 (.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 2 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
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(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
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(*.f64 1 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
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(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 8)))
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(exp.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
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(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(binary32->binary64 (binary64->binary32 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(binary32->binary64 (binary64->binary32 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(binary32->binary64 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) 4))
(binary32->binary64 (pow.f32 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) 4))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64))))
(binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32)))
(binary32->binary64 (fma.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (*.f32 -1/2 (binary64->binary32 x))))) 4 (PI.f32)))
(binary32->binary64 (fma.f32 4 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) (PI.f32)))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64)))))
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(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32))))
(binary32->binary64 (fma.f32 2 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (/.f32 (PI.f32) -2)))
(binary32->binary64 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) (/.f32 (PI.f32) -2)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4))))
(binary32->binary64 (/.f32 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (/.f32 (PI.f32) -2)) (pow.f32 (PI.f32) 4)))
(binary32->binary64 (/.f32 (fma.f32 -2 (asin.f32 (sqrt.f32 (fma.f32 -1/2 (binary64->binary32 x) 1/2))) (/.f32 (PI.f32) -2)) (pow.f32 (PI.f32) 4)))

eval3.4s (4.8%)

Compiler: Compiled 109584 to 92669 computations (15.4% saved)

prune723.0ms (1%)

Pruning

55 alts after pruning (47 fresh and 8 done)

	Pruned	Kept	Total
New	1596	31	1627
Fresh	12	16	28
Picked	3	2	5
Done	0	6	6
Total	1611	55	1666

Accuracy

11.1%

Counts

1666 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.5%	(fma.f64 (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3))) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))))
	7.5%	(fma.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))))
	7.5%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
	6.7%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
	7.9%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	9.3%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	7.4%	(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
▶	7.8%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (/.f64 16 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (/.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
▶	6.7%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
✓	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	6.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (cbrt.f64 (.f64 (.f64 (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))))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
✓	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	6.6%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))))
	7.5%	(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))
	7.5%	(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
	7.6%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
	7.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
▶	9.3%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	6.3%	(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
▶	7.5%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	7.5%	(-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 4 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	5.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	7.5%	(+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (neg.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
	1.3%	(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	9.3%	(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
▶	9.3%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	9.3%	(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	9.3%	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	9.3%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	9.3%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
	9.3%	(.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	8.3%	(.f64 (binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
	9.3%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
✓	6.7%	(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
	6.6%	(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
✓	5.3%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
	7.5%	(fma.f64 (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3))) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))))
	7.5%	(fma.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))))
	7.5%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
	6.7%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
	7.9%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	9.3%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	7.4%	(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
▶	7.8%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (/.f64 16 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (/.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
▶	6.7%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
✓	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	6.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (cbrt.f64 (.f64 (.f64 (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))))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
✓	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	6.6%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (binary32->binary64 (/.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (fma.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (.f32 1/2 (PI.f32)))))))
	7.5%	(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))
	7.5%	(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
	7.6%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
	7.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
▶	9.3%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	6.3%	(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
▶	7.5%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	7.5%	(-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 4 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	5.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	7.5%	(+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (neg.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
	1.3%	(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	9.3%	(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
▶	9.3%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	9.3%	(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	9.3%	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (PI.f64) 1/2)) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	9.3%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	9.3%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
	9.3%	(.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	8.3%	(.f64 (binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
	9.3%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
✓	6.7%	(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
	6.6%	(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
✓	5.3%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))

Compiler

Compiled 9916 to 8704 computations (12.2% saved)

localize4.9s (6.8%)

Localize:

Found 40 expressions with local error:

New	Accuracy	Program
	99.9%	(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
	100.0%	(.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))
	100.0%	(+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))
	99.3%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)
	99.6%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	99.9%	(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	99.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
	100.0%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)
	100.0%	(-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 1/2 (PI.f64)))
	9.3%	(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	99.6%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	100.0%	(/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
	99.9%	(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
	100.0%	(.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))
	100.0%	(+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	98.5%	(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
✓	97.5%	(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
✓	9.4%	(fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))
	98.9%	(cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
✓	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	9.3%	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
✓	99.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	57.0%	(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
	9.4%	(-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (*.f64 1/2 (PI.f64)) 2))
✓	100.0%	(/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
✓	99.6%	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	9.3%	(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
	98.5%	(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
	98.4%	(pow.f64 (PI.f64) 3)
✓	9.6%	(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))))
	9.4%	(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))

Compiler

Compiled 893 to 735 computations (17.7% saved)

series8.0ms (0%)

Counts

10 → 88

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
1.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
1.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
1.0ms	x	@	-inf	(/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
1.0ms	x	@	inf	(/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))

rewrite150.0ms (0.2%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1090×	`associate-l`
1054×	`associate-r`
852×	`fma-def`
496×	`prod-diff`
422×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	426
1	217	362
2	1362	362

Stop Event

1×	node limit

Counts

10 → 411

Calls

Call 1

Inputs
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))))
(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(/.f64 1 (/.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)))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))

Outputs
(+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(+.f64 (log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (log.f64 (pow.f64 (exp.f64 -8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
(.f64 (fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 -8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3) -512) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3) -512) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3)) (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 -8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) -8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 -8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (pow.f64 (.f64 (PI.f64) 1/2) 6)) (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (.f64 (pow.f64 (PI.f64) 3) 1/8)))
(fma.f64 (PI.f64) (.f64 1/8 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8 (*.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -8) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 (pow.f64 (PI.f64) 3/2) (.f64 1/8 (pow.f64 (PI.f64) 3/2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(fma.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -1 (neg.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 (PI.f64) -1/2) -1) (.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) -1))
(-.f64 0 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 1)
(.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))
(.f64 -1 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))))
(.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) -1)
(.f64 (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) -1/2) (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) -1/2))
(.f64 (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) -1/2) (.f64 (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) -1/2) 1))
(.f64 (.f64 1 (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) -1/2)) (pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) -1/2))
(/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(/.f64 -1 (/.f64 -1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) -1)
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.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 (fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) -1)
(neg.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))))) (+.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(/.f64 (+.f64 0 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 0 (-.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 0 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3) (pow.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)) (+.f64 (.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) 3) (pow.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) 3)) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (.f64 (pow.f64 (PI.f64) 3) 1/8))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))
(+.f64 (log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (log.f64 (pow.f64 (exp.f64 -8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2)))
(.f64 (fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 -8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3) -512) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 3) -512) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3)) (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 -8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) -8) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (.f64 -8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (pow.f64 (.f64 (PI.f64) 1/2) 6)) (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (.f64 (pow.f64 (PI.f64) 3) 1/8)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 2) (exp.f64 (log.f64 (PI.f64))))
(*.f64 (exp.f64 (log.f64 (PI.f64))) (pow.f64 (PI.f64) 2))
(.f64 (pow.f64 (PI.f64) 3/4) (.f64 (pow.f64 (PI.f64) 3/4) (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 (PI.f64)) 2)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 (PI.f64)) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 3/4))
(pow.f64 (PI.f64) 3)
(pow.f64 (exp.f64 3) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) 3/2) 2)
(pow.f64 (pow.f64 (PI.f64) 2) 3/2)
(pow.f64 (exp.f64 (log.f64 (PI.f64))) 3)
(pow.f64 (exp.f64 (log.f64 (exp.f64 3))) (log.f64 (PI.f64)))

Calls

40 calls:

1.0ms	(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))))
0.0ms	(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8))))
0.0ms	(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
0.0ms	(fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
0.0ms	(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))

simplify319.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

825×	`associate-r`
818×	`associate-l`
651×	`exp-prod`
606×	`*-commutative`
501×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	795	31207
1	1913	29413
2	7016	29413

Stop Event

1×	node limit

Counts

499 → 441

Calls

Call 1

Inputs
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
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(.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))
(.f64 -1 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))))
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(.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
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(log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
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(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))
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(.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 1)
(.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)))
(.f64 -1 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))))
(.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) -1)
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(fma.f64 (.f64 (PI.f64) 1/2) 1 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
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(*.f64 (pow.f64 (PI.f64) 2) (exp.f64 (log.f64 (PI.f64))))
(*.f64 (exp.f64 (log.f64 (PI.f64))) (pow.f64 (PI.f64) 2))
(.f64 (pow.f64 (PI.f64) 3/4) (.f64 (pow.f64 (PI.f64) 3/4) (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 (PI.f64)) 2)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 (PI.f64)) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 3/4))
(pow.f64 (PI.f64) 3)
(pow.f64 (exp.f64 3) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) 3/2) 2)
(pow.f64 (pow.f64 (PI.f64) 2) 3/2)
(pow.f64 (exp.f64 (log.f64 (PI.f64))) 3)
(pow.f64 (exp.f64 (log.f64 (exp.f64 3))) (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(.f64 (sqrt.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64))))) (sqrt.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(.f64 1 (exp.f64 (.f64 3 (log.f64 (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))))) (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) (exp.f64 (.f64 3 (log.f64 (PI.f64))))) (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(pow.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 1)
(exp.f64 (log.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(log.f64 (exp.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))))
(binary32->binary64 (exp.f32 (*.f32 3 (log.f32 (PI.f32)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32)))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (-.f32 (*.f32 (PI.f32) 1/2) (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(binary32->binary64 (/.f32 1 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(binary32->binary64 (/.f32 1 (/.f32 1 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (/.f32 (-.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (-.f32 (.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (.f32 1/2 (PI.f32)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (.f32 (pow.f32 (cbrt.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 (PI.f32) 1/2))) 2) (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)))
(binary32->binary64 (pow.f32 (cbrt.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (*.f32 (PI.f32) 1/2))) 2))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32)))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (-.f32 (*.f32 (PI.f32) 1/2) (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))

Outputs
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.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 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
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(fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
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(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(binary32->binary64 (/.f32 1 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (/.f32 1 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))))))
(binary32->binary64 (/.f32 1 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (*.f32 1/2 (PI.f32)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (/.f32 1 (/.f32 1 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))))))
(binary32->binary64 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (*.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))))))
(binary32->binary64 (fma.f32 1/2 (PI.f32) (.f32 -2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))))))
(binary32->binary64 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (*.f32 1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (PI.f64) -1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (PI.f64) -1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 (PI.f64) -1/2 (*.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(binary32->binary64 (-.f32 (.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (*.f32 1/2 (PI.f32))))
(binary32->binary64 (+.f32 (.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (.f32 -1/2 (PI.f32))))
(binary32->binary64 (fma.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f32 -1/2 (PI.f32))))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(binary32->binary64 (binary64->binary32 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(binary32->binary64 (binary64->binary32 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(binary32->binary64 (binary64->binary32 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(binary32->binary64 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2))
(binary32->binary64 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))) 2))
(binary32->binary64 (pow.f32 (*.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))) 2))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (+.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (PI.f64) -1/2)))))
(binary32->binary64 (binary64->binary32 (/.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 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (+.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (PI.f64) -1/2)))))
(binary32->binary64 (binary64->binary32 (/.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 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))
(binary32->binary64 (/.f32 (-.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (-.f32 (.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (.f32 1/2 (PI.f32)))))
(binary32->binary64 (/.f32 (-.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x)))))) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (+.f32 (.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f32 -1/2 (PI.f32)))))
(binary32->binary64 (/.f32 (-.f32 (pow.f32 (.f32 2 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (fma.f32 -2 (binary64->binary32 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f32 -1/2 (PI.f32)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))))
(binary32->binary64 (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))))
(binary32->binary64 (-.f32 (*.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))
(binary32->binary64 (.f32 (pow.f32 (cbrt.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 (PI.f32) 1/2))) 2) (cbrt.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))))
(binary32->binary64 (.f32 (pow.f32 (cbrt.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 1/2 (PI.f32)))) 2) (cbrt.f32 (+.f32 (/.f32 (PI.f32) 2) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (+.f32 1/2 (*.f32 -1/2 (binary64->binary32 x)))))))))))
(binary32->binary64 (.f32 (pow.f32 (cbrt.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (.f32 1/2 (PI.f32)))) 2) (cbrt.f32 (+.f32 (/.f32 (PI.f32) 2) (.f32 -2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))))))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))) 2)))
(binary32->binary64 (pow.f32 (cbrt.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (*.f32 (PI.f32) 1/2))) 2))
(binary32->binary64 (pow.f32 (cbrt.f32 (fma.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) -2 (*.f32 1/2 (PI.f32)))) 2))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64))))
(binary32->binary64 (binary64->binary32 (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64))))
(binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32)))
(binary32->binary64 (fma.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (*.f32 -1/2 (binary64->binary32 x))))) 4 (PI.f32)))
(binary32->binary64 (fma.f32 4 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (PI.f32)))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4 (PI.f64)))))
(binary32->binary64 (binary64->binary32 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 4 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (PI.f64)))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))
(binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (.f32 -1/2 (binary64->binary32 x))))) (fma.f32 (asin.f32 (sqrt.f32 (+.f32 1/2 (*.f32 -1/2 (binary64->binary32 x))))) 4 (PI.f32))))
(binary32->binary64 (*.f32 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (fma.f32 4 (asin.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))) (PI.f32))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (binary64->binary32 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(binary32->binary64 (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(binary32->binary64 (-.f32 (*.f32 (PI.f32) 1/2) (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))
(binary32->binary64 (-.f32 (*.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (fma.f32 (binary64->binary32 x) -1/2 1/2)))))

eval1.2s (1.7%)

Compiler: Compiled 65666 to 55385 computations (15.7% saved)

prune370.0ms (0.5%)

Pruning

66 alts after pruning (57 fresh and 9 done)

	Pruned	Kept	Total
New	1278	20	1298
Fresh	5	37	42
Picked	4	1	5
Done	0	8	8
Total	1287	66	1353

Accuracy

11.2%

Counts

1353 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.5%	(fma.f64 (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (.f64 (PI.f64) -1/2) 3))) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) -1/2)))))
	7.5%	(fma.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))))
	7.5%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
	7.9%	(/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 2) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	6.7%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3/2) (.f64 1/8 (pow.f64 (PI.f64) 3/2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	7.4%	(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.8%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	6.9%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
	6.8%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
	7.5%	(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (/.f64 16 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (/.f64 (+.f64 (/.f64 16 (/.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))) (/.f64 1/16 (/.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2)) (pow.f64 (PI.f64) 4)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) -2))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
✓	6.7%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
✓	7.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	6.5%	(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (cbrt.f64 (.f64 (.f64 (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))))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
✓	7.5%	(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	7.5%	(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))
	7.5%	(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
	7.6%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
	7.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
	9.3%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	9.3%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	8.0%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	9.3%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
	7.5%	(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	9.3%	(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
	6.3%	(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
	7.5%	(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	7.5%	(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	7.5%	(/.f64 1 (/.f64 1 (expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	7.5%	(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))))
	7.5%	(-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 4 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	5.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	6.7%	(+.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (.f64 (pow.f64 (PI.f64) 2) -1/4)) (fma.f64 (PI.f64) -1/2 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (PI.f64) -1/2 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (.f64 1/4 (pow.f64 (PI.f64) 2)) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) -1/2 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))
	7.5%	(+.f64 (/.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))) (neg.f64 (/.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))))
	1.3%	(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	9.3%	(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	9.3%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
	9.3%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
	8.4%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (binary32->binary64 (binary64->binary32 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
	9.3%	(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	9.3%	(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	9.3%	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	9.3%	(.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	8.3%	(.f64 (binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
	9.3%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	7.5%	(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
✓	6.7%	(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
✓	5.3%	(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
	6.6%	(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
✓	5.3%	(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))

Compiler

Compiled 8286 to 7103 computations (14.3% saved)

regimes211.0ms (0.3%)

Counts

100 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(/.f64 1 (/.f64 1 (expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
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(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))))) (+.f64 (.f64 (/.f64 1/8 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (pow.f64 (PI.f64) 3)) (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))))
(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (cbrt.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (/.f64 1/512 (pow.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (PI.f64) 3)) 3)) (pow.f64 (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) 3)) (fma.f64 (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (.f64 (/.f64 1/8 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (pow.f64 (PI.f64) 3)) (/.f64 8 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)))) (/.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (PI.f64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (fma.f64 4 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))))))

Outputs

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

Calls

7 calls:

43.0ms	x
11.0ms	(-.f64 1 x)
9.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
9.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
8.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
9.3%	1	`x`
9.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.3%	1	`(/.f64 (-.f64 1 x) 2)`
9.3%	1	`(-.f64 1 x)`

Compiler

Compiled 5355 to 4530 computations (15.4% saved)

regimes130.0ms (0.2%)

Counts

74 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(/.f64 1 (/.f64 1 (expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (+.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (binary32->binary64 (binary64->binary32 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 4 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(fma.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3/2) (.f64 1/8 (pow.f64 (PI.f64) 3/2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 2) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 6)) (.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))) (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)))))

Outputs

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

Calls

7 calls:

30.0ms	x
8.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
7.0ms	(-.f64 1 x)
7.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.0ms	(/.f64 (-.f64 1 x) 2)

Results

Accuracy	Segments	Branch
9.3%	1	`x`
9.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.3%	1	`(/.f64 (-.f64 1 x) 2)`
9.3%	1	`(-.f64 1 x)`
9.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 2574 to 2174 computations (15.5% saved)

regimes117.0ms (0.2%)

Counts

67 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(/.f64 1 (/.f64 1 (expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (+.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (binary32->binary64 (binary64->binary32 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 4 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (binary32->binary64 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(fma.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) -1/2)))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (binary32->binary64 (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3/2) (.f64 1/8 (pow.f64 (PI.f64) 3/2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 2) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))

Outputs

(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))

Calls

7 calls:

29.0ms	x
7.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
7.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.0ms	(-.f64 1 x)
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
9.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.3%	1	`x`
9.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.3%	1	`(/.f64 (-.f64 1 x) 2)`
9.3%	1	`(-.f64 1 x)`

Compiler

Compiled 2223 to 1881 computations (15.4% saved)

regimes100.0ms (0.1%)

Counts

60 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(/.f64 1 (/.f64 1 (expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
(cbrt.f64 (.f64 (.f64 (-.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (binary32->binary64 (fma.f32 (PI.f32) (.f32 1/4 (PI.f32)) (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x))))) (+.f32 (.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x))))) 4) (PI.f32))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2)) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (+.f64 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(+.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (binary32->binary64 (binary64->binary32 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 2))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (.f64 (PI.f64) 1/2))) 2) (log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (/.f64 1 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64))))))
(/.f64 (fma.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (cbrt.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 4) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 4 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (log.f64 (exp.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))

Outputs

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

Calls

7 calls:

27.0ms	x
6.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.0ms	(/.f64 (-.f64 1 x) 2)
5.0ms	(-.f64 1 x)
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
9.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.3%	1	`(/.f64 (-.f64 1 x) 2)`
9.3%	1	`(-.f64 1 x)`
9.3%	1	`x`

Compiler

Compiled 1904 to 1622 computations (14.8% saved)

regimes55.0ms (0.1%)

Counts

32 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(/.f64 1 (/.f64 1 (expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))) 3)
(/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (binary32->binary64 (-.f32 (.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (.f32 1/2 (binary64->binary32 x)))))) (.f32 1/2 (PI.f32)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.f64 1/2 (PI.f64)) 2)) (-.f64 (.f64 -2 (binary32->binary64 (binary64->binary32 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 6)) (pow.f64 (.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))))
(/.f64 (fma.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 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (exp.f64 (.f64 2 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (.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))))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (pow.f64 (.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))))
(/.f64 (-.f64 (expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2))) (pow.f64 (.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))))

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

Calls

7 calls:

14.0ms	x
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
4.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
4.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
9.3%	1	`x`
9.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.3%	1	`(/.f64 (-.f64 1 x) 2)`
9.3%	1	`(-.f64 1 x)`
9.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 770 to 665 computations (13.6% saved)

regimes31.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (binary32->binary64 (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (PI.f32) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (binary32->binary64 (binary64->binary32 x)) 2)))) -2))))
(/.f64 1 (/.f64 1 (expm1.f64 (log1p.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))

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

Calls

7 calls:

8.0ms	x
3.0ms	(-.f64 1 x)
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
9.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.3%	1	`x`
9.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.3%	1	`(/.f64 (-.f64 1 x) 2)`
9.3%	1	`(-.f64 1 x)`

Compiler

Compiled 298 to 255 computations (14.4% saved)

regimes33.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
(binary32->binary64 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (-.f32 (.f32 1/2 (PI.f32)) (acos.f32 (sqrt.f32 (-.f32 1/2 (*.f32 1/2 (binary64->binary32 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (binary32->binary64 (asin.f32 (sqrt.f32 (/.f32 (-.f32 1 (binary64->binary32 x)) 2))))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (expm1.f32 (log1p.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))) -2)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))

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

Calls

7 calls:

14.0ms	x
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
7.5%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.5%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.5%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.5%	1	`(/.f64 (-.f64 1 x) 2)`
7.5%	1	`(-.f64 1 x)`
9.2%	3	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.8%	3	`x`

Compiler

Compiled 164 to 141 computations (14% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))

Outputs
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

484×	`unsub-neg`
262×	`neg-mul-1`
191×	`*-commutative`
168×	`distribute-lft-neg-in`
152×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	770
1	136	770
2	193	770
3	226	770
4	258	770
5	282	770
6	296	770
7	409	770
8	671	770
9	886	770
10	898	770
11	930	770
12	973	770
13	1015	770
14	1047	770
15	1066	770
16	1072	770
17	1074	770

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))

Outputs
(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))) -8)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)))))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 -8 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))))) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8) (.f64 (pow.f64 (PI.f64) 3) 1/8)))) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) -8)) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (pow.f64 (.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))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 2) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))) -2)))
(binary32->binary64 (+.f32 (/.f32 (PI.f32) 2) (*.f32 -2 (asin.f32 (sqrt.f32 (-.f32 1/2 (/.f32 (binary64->binary32 x) 2)))))))

Compiler

Compiled 245 to 214 computations (12.7% saved)

soundness798.0ms (1.1%)

Rules

1225×	`fma-def`
1083×	`fma-def`
877×	`*-commutative`
557×	`fma-neg`
555×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	192
1	132	180
2	1015	164
0	62	673
1	312	579
2	2571	523
0	32	192
1	132	180
2	1015	164
0	680	21400
1	1777	20188
2	6515	20106
0	32	192
1	132	180
2	1015	164

Stop Event

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

Compiler

Compiled 950 to 798 computations (16% saved)

end0.0ms (0%)

preprocess155.0ms (0.2%)

Compiler: Compiled 510 to 432 computations (15.3% saved)

analyze4.0ms (0%)

sample3.5s (4.9%)

preprocess370.0ms (0.5%)

eval5.0ms (0%)

prune4.0ms (0%)

localize626.0ms (0.9%)

series6.0ms (0%)

rewrite139.0ms (0.2%)

simplify269.0ms (0.4%)

eval329.0ms (0.5%)

prune223.0ms (0.3%)

localize39.8s (55.8%)

series30.0ms (0%)

rewrite327.0ms (0.5%)

simplify735.0ms (1%)

eval2.3s (3.2%)

prune454.0ms (0.6%)

localize8.5s (11.9%)

series46.0ms (0.1%)

rewrite265.0ms (0.4%)

simplify655.0ms (0.9%)

eval3.4s (4.8%)

prune723.0ms (1%)

localize4.9s (6.8%)

series8.0ms (0%)

rewrite150.0ms (0.2%)

simplify319.0ms (0.4%)

eval1.2s (1.7%)

prune370.0ms (0.5%)

regimes211.0ms (0.3%)

regimes130.0ms (0.2%)

regimes117.0ms (0.2%)

regimes100.0ms (0.1%)

regimes55.0ms (0.1%)

regimes31.0ms (0%)

regimes33.0ms (0%)

regimes3.0ms (0%)

simplify67.0ms (0.1%)

soundness798.0ms (1.1%)

end0.0ms (0%)

preprocess155.0ms (0.2%)

Profiling