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)

sample3.3s (13.7%)

Results

2.1s	4174×	body	1024	valid
671.0ms	2052×	body	512	valid
350.0ms	423×	body	2048	valid
234.0ms	1607×	body	256	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess30.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

316×	`fma-def`
62×	`sub-neg`
42×	`cancel-sign-sub-inv`
34×	`distribute-lft-neg-in`
34×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (/.f64 (PI.f64) 2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))
(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 15 to 14 computations (6.7% saved)

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

316×	`fma-def`
62×	`sub-neg`
42×	`cancel-sign-sub-inv`
34×	`distribute-lft-neg-in`
34×	`neg-mul-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33

Stop Event

1×

saturated

Counts

1 → 10

Calls

Call 1

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

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

eval3.0ms (0%)

Compiler: Compiled 120 to 101 computations (15.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	9	2	11

Accurracy

6.5%

Counts

11 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 28 to 26 computations (7.1% saved)

localize228.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	7.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`log-prod`
774×	`fma-def`
718×	`pow-exp`
574×	`expm1-udef`
572×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	328	75
2	4296	75

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

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

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

974×	`distribute-lft-in`
862×	`distribute-rgt-in`
728×	`unswap-sqr`
502×	`associate-+r+`
444×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	10465
1	941	9789
2	2637	9339

Stop Event

1×	node limit

Counts

221 → 265

Calls

Call 1

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

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

eval151.0ms (0.6%)

Compiler: Compiled 6486 to 5613 computations (13.5% saved)

prune115.0ms (0.5%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	243	22	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	243	23	266

Accurracy

9.7%

Counts

266 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	1.7%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	1.7%	(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
▶	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.5%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	1.7%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.7%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	1.7%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	1.7%	(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
▶	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.5%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	1.7%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.7%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))

Compiler

Compiled 2516 to 2302 computations (8.5% saved)

localize5.1s (20.9%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)
✓	99.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	7.7%	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
✓	99.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
✓	98.5%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	7.7%	(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
✓	7.5%	(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	7.7%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
✓	7.7%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	98.4%	(asin.f64 (sqrt.f64 1/2))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
✓	7.7%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Compiler

Compiled 390 to 324 computations (16.9% saved)

series100.0ms (0.4%)

Counts

17 → 176

Calls

48 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
27.0ms	x	@	inf	(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
25.0ms	x	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
2.0ms	x	@	0	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
1.0ms	x	@	0	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))

rewrite184.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`add-sqr-sqrt`
906×	`pow1`
900×	`*-un-lft-identity`
866×	`add-exp-log`
862×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	579
1	995	579

Stop Event

1×	node limit

Counts

17 → 184

Calls

Call 1

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

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

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1468×	`distribute-lft-in`
744×	`associate-r`
692×	`associate-l`
536×	`cancel-sign-sub-inv`
528×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	11078
1	911	10850
2	3619	10836

Stop Event

1×	node limit

Counts

360 → 210

Calls

Call 1

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

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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 -1/2 x 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)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
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(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)

eval204.0ms (0.8%)

Compiler: Compiled 8413 to 7277 computations (13.5% saved)

prune148.0ms (0.6%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	276	16	292
Fresh	4	13	17
Picked	3	2	5
Done	0	1	1
Total	283	32	315

Accurracy

9.8%

Counts

315 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	1.7%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	1.7%	(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)
▶	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
	5.9%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
▶	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
▶	6.4%	(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.5%	(.f64 3 (.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	6.5%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
	7.6%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
	6.5%	(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.5%	(log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
	6.5%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	1.7%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.7%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	1.7%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	1.7%	(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)
▶	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
	5.9%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
▶	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
▶	6.4%	(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.5%	(.f64 3 (.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	6.5%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
	7.6%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
	6.5%	(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.5%	(log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
	6.5%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	1.7%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.7%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

Compiler

Compiled 3520 to 3210 computations (8.8% saved)

localize3.6s (14.8%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	8.0%	(log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
✓	7.7%	(+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓	99.1%	(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))
✓	98.9%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	7.7%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	100.0%	(/.f64 2 (-.f64 1 x))
✓	98.5%	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	98.5%	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	7.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	98.5%	(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
✓	7.7%	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))

Compiler

Compiled 674 to 574 computations (14.8% saved)

series20.0ms (0.1%)

Counts

14 → 144

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
2.0ms	x	@	inf	(log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
1.0ms	x	@	0	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))

rewrite284.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`add-sqr-sqrt`
884×	`pow1`
874×	`*-un-lft-identity`
848×	`add-exp-log`
846×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	516
1	1119	516

Stop Event

1×	node limit

Counts

14 → 240

Calls

Call 1

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

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

simplify361.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

944×	`unswap-sqr`
940×	`fma-neg`
798×	`associate-r`
770×	`associate-l`
640×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	16632
1	1195	14798
2	4405	14532

Stop Event

1×	node limit

Counts

384 → 253

Calls

Call 1

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

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

eval431.0ms (1.8%)

Compiler: Compiled 20266 to 17826 computations (12% saved)

prune222.0ms (0.9%)

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	530	20	550
Fresh	4	20	24
Picked	3	2	5
Done	0	3	3
Total	537	45	582

Accurracy

9.9%

Counts

582 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
▶	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
✓	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
▶	1.7%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	1.7%	(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
	6.5%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) 16)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	6.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	6.7%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 3))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
	5.9%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	7.2%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
▶	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.3%	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.3%	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	5.9%	(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
▶	4.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
	6.5%	(.f64 3 (.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	6.5%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
	7.6%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.7%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.5%	(log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
	6.5%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	1.7%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.6%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (*.f64 (PI.f64) 1/2))))
	1.7%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
▶	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
✓	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
▶	1.7%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	1.7%	(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
	6.5%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) 16)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	6.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	6.7%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 3))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
	5.9%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	7.2%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
▶	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.3%	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.3%	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	5.9%	(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
▶	4.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
	6.5%	(.f64 3 (.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	6.5%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
	7.6%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.7%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.5%	(log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
	6.5%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	1.7%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.6%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (*.f64 (PI.f64) 1/2))))
	1.7%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

Compiler

Compiled 5728 to 5240 computations (8.5% saved)

localize6.3s (25.8%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)
✓	99.2%	(pow.f64 (*.f64 (PI.f64) 1/2) 3)
✓	53.1%	(PI.f64)
✓	52.6%	(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	99.2%	(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	53.1%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	53.1%	(PI.f64)
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	71.4%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
✓	53.1%	(PI.f64)
	52.5%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	99.2%	(/.f64 1 (sqrt.f64 2))
✓	99.2%	(asin.f64 (/.f64 1 (sqrt.f64 2)))
✓	53.1%	(PI.f64)
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	99.2%	(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
✓	53.1%	(PI.f64)
	52.5%	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))

Compiler

Compiled 746 to 641 computations (14.1% saved)

series44.0ms (0.2%)

Counts

13 → 60

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
6.0ms	x	@	inf	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
4.0ms	x	@	0	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
2.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
2.0ms	x	@	0	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`add-sqr-sqrt`
636×	`pow1`
626×	`*-un-lft-identity`
614×	`add-exp-log`
614×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	281
1	803	229

Stop Event

1×	node limit

Counts

13 → 291

Calls

Call 1

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

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

simplify139.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1324×	`fma-neg`
890×	`exp-prod`
862×	`associate-r`
798×	`associate-l`
624×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	11177
1	1308	9467
2	4678	9445

Stop Event

1×	node limit

Counts

351 → 294

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/3)
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 3))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 3))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2)))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1)
(*.f64 1 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))
(*.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (sqrt.f64 1/2) 1)
(pow.f64 1/2 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)
(sqrt.f64 1/2)
(log.f64 (exp.f64 (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 1/2)))
(exp.f64 (log.f64 (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1) (.f64 (*.f64 (PI.f64) 1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1)
(.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))) 2))
(.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 1 1/3) (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 2) 1/3) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 (PI.f64) 1/2)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))
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(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))))
(fma.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))
(fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))
(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))) 1)
(.f64 (PI.f64) (.f64 1/2 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)))
(.f64 1/2 (.f64 (PI.f64) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 3) (*.f64 (PI.f64) 1/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (PI.f64)) 1/2)
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1) (.f64 (PI.f64) 1/2))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) 1)
(.f64 1 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)))
(.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4)))
(.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4)))
(.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4)))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8)
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) 3) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3) (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3))
(.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) 1) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(sqrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 6))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))))
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 9))
(expm1.f64 (log1p.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1))
(log1p.f64 (expm1.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))))

Outputs
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (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 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (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 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (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 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (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 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (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 x -1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
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(pow.f64 (*.f64 2 (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 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))
(sqrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 6))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 9))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 9))
(expm1.f64 (log1p.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))
(log1p.f64 (expm1.f64 (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))))
(.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(pow.f64 (*.f64 2 (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))

eval622.0ms (2.6%)

Compiler: Compiled 32382 to 28161 computations (13% saved)

prune220.0ms (0.9%)

Pruning

57 alts after pruning (49 fresh and 8 done)

	Pruned	Kept	Total
New	662	18	680
Fresh	4	31	35
Picked	2	3	5
Done	0	5	5
Total	668	57	725

Accurracy

10.0%

Counts

725 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/6) 2) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2))
	6.5%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
✓	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
✓	6.3%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (*.f64 (PI.f64) 1/2))
	6.6%	(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
	1.7%	(pow.f64 (pow.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2)) 3) 1/3)
	1.7%	(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
	1.7%	(pow.f64 (pow.f64 (exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
	1.7%	(pow.f64 (sqrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))) 2)
	6.5%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) (+.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
	1.7%	(/.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) 3) 1/3) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.4%	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) 3) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
✓	6.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	6.7%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	6.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (exp.f64 (.f64 3 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	6.7%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 3))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
	5.9%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	7.2%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
	7.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.4%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) (fma.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.3%	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	5.9%	(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	4.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
	6.5%	(.f64 3 (.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
	6.5%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
	7.6%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.7%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.5%	(log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
	6.5%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	1.7%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.6%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (*.f64 (PI.f64) 1/2))))
	1.7%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

Compiler

Compiled 4695 to 4187 computations (10.8% saved)

regimes140.0ms (0.6%)

Counts

77 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
(.f64 3 (.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (*.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (*.f64 (PI.f64) 1/2))))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/6) 2) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 3))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) (+.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (exp.f64 (.f64 3 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.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 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) 16)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) 3) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) 3) 1/3) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(fma.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) (fma.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (cbrt.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))))

Outputs

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

Calls

7 calls:

31.0ms	x
9.0ms	(/.f64 (-.f64 1 x) 2)
8.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.0ms	(-.f64 1 x)
7.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.6%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.6%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.6%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.6%	1	`(/.f64 (-.f64 1 x) 2)`
7.6%	1	`(-.f64 1 x)`

Compiler

Compiled 2747 to 2410 computations (12.3% saved)

regimes114.0ms (0.5%)

Counts

69 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
(.f64 3 (.f64 1/3 (fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
(log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))) (*.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (*.f64 (PI.f64) 1/2))))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/6) 2) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 3))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) (+.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 -2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 1/2 (PI.f64))))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (exp.f64 (.f64 3 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.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 x -1/2)))) 3) -8)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) 16)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) 3) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) 3) 1/3) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Outputs

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

Calls

7 calls:

28.0ms	x
8.0ms	(-.f64 1 x)
7.0ms	(*.f64 2 (asin.f64 (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	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.6%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.6%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.6%	1	`(/.f64 (-.f64 1 x) 2)`
7.6%	1	`(-.f64 1 x)`
7.6%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 2087 to 1825 computations (12.6% saved)

regimes95.0ms (0.4%)

Counts

55 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

29.0ms	x
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
6.0ms	(/.f64 (-.f64 1 x) 2)
6.0ms	(-.f64 1 x)
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.6%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.6%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.6%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.6%	1	`(/.f64 (-.f64 1 x) 2)`
7.6%	1	`(-.f64 1 x)`

Compiler

Compiled 1322 to 1156 computations (12.6% saved)

regimes88.0ms (0.4%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

7 calls:

22.0ms	x
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms	(-.f64 1 x)
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.6%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.6%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.6%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.6%	1	`(/.f64 (-.f64 1 x) 2)`
7.6%	1	`(-.f64 1 x)`

Compiler

Compiled 1077 to 942 computations (12.5% saved)

regimes30.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

Calls

7 calls:

15.0ms	x
2.0ms	(-.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
6.7%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.7%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.7%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.7%	1	`(/.f64 (-.f64 1 x) 2)`
6.7%	1	`(-.f64 1 x)`
6.7%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.3%	2	`x`

Compiler

Compiled 127 to 111 computations (12.6% saved)

regimes26.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	x
2.0ms	(-.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	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
6.7%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.7%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.7%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.7%	1	`(/.f64 (-.f64 1 x) 2)`
6.7%	1	`(-.f64 1 x)`
6.7%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.4%	3	`x`

Compiler

Compiled 113 to 99 computations (12.4% saved)

regimes13.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.5%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.5%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.5%	1	`(/.f64 (-.f64 1 x) 2)`
6.5%	1	`(-.f64 1 x)`
6.5%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 83 to 74 computations (10.8% saved)

regimes6.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
6.3%	2	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.1%	1	`x`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch106.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
106.0ms	-1.8279396110538654e-305	7.38965246600137e-302

Results

103.0ms

160×

body

2048

valid

Compiler

Compiled 328 to 306 computations (6.7% saved)

bsearch107.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
107.0ms	-1.8279396110538654e-305	7.38965246600137e-302

Results

105.0ms

160×

body

2048

valid

Compiler

Compiled 258 to 256 computations (0.8% saved)

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

922×	`unsub-neg`
508×	`neg-mul-1`
346×	`distribute-lft-neg-in`
256×	`distribute-neg-out`
204×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	837
1	170	837
2	260	837
3	312	837
4	365	837
5	398	837
6	414	837
7	642	837
8	1250	837
9	1699	837
10	1705	837
11	1748	837
12	1807	837
13	1869	837
14	1931	837
15	1974	837
16	1983	837
17	1994	837

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Outputs
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) 2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 2))))) (fma.f64 2 (asin.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 x)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (pow.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 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (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))))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Compiler

Compiled 273 to 246 computations (9.9% saved)

soundness1.0s (4.1%)

Rules

1500×	`log-prod`
1500×	`log-prod`
1500×	`log-prod`
1500×	`log-prod`
974×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	328	75
2	4296	75
0	430	10465
1	941	9789
2	2637	9339
0	15	79
1	328	75
2	4296	75
0	15	79
1	328	75
2	4296	75
0	46	579
1	995	579
0	46	579
1	995	579
0	36	281
1	803	229
0	15	79
1	328	75
2	4296	75
0	51	516
1	1119	516

Stop Event

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

Compiler

Compiled 1270 to 1112 computations (12.4% saved)

end170.0ms (0.7%)

Compiler: Compiled 564 to 490 computations (13.1% saved)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33

analyze4.0ms (0%)

sample3.3s (13.7%)

preprocess30.0ms (0.1%)

simplify29.0ms (0.1%)

eval3.0ms (0%)

prune2.0ms (0%)

localize228.0ms (0.9%)

series4.0ms (0%)

rewrite107.0ms (0.4%)

simplify125.0ms (0.5%)

eval151.0ms (0.6%)

prune115.0ms (0.5%)

localize5.1s (20.9%)

series100.0ms (0.4%)

rewrite184.0ms (0.8%)

simplify142.0ms (0.6%)

eval204.0ms (0.8%)

prune148.0ms (0.6%)

localize3.6s (14.8%)

series20.0ms (0.1%)

rewrite284.0ms (1.2%)

simplify361.0ms (1.5%)

eval431.0ms (1.8%)

prune222.0ms (0.9%)

localize6.3s (25.8%)

series44.0ms (0.2%)

rewrite101.0ms (0.4%)

simplify139.0ms (0.6%)

eval622.0ms (2.6%)

prune220.0ms (0.9%)

regimes140.0ms (0.6%)

regimes114.0ms (0.5%)

regimes95.0ms (0.4%)

regimes88.0ms (0.4%)

regimes30.0ms (0.1%)

regimes26.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

bsearch106.0ms (0.4%)

bsearch107.0ms (0.4%)

simplify97.0ms (0.4%)

soundness1.0s (4.1%)

end170.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	69	37
4	104	37
5	150	33
6	227	33
7	305	33
8	375	33
9	468	33
10	541	33
11	551	33