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)

sample3.6s (15.7%)

Results

2.4s	4187×	body	1024	valid
551.0ms	2010×	body	512	valid
319.0ms	428×	body	2048	valid
266.0ms	1631×	body	256	valid
1.0ms	6×	body	256	invalid

Bogosity

preprocess67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def`
108×	`cancel-sign-sub-inv`
108×	`sub-neg`
96×	`distribute-lft-neg-in`
74×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	86
1	48	82
2	85	74
3	159	70
4	272	66
5	417	66
6	569	66
7	713	66
8	842	66
9	993	66
10	1107	66
11	1124	66

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify19.0ms (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)

prune3.0ms (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

6.7%

Counts

11 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	6.7%	(-.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)

localize441.0ms (1.9%)

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)))
✓	8.2%	(-.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)))))

rewrite108.0ms (0.5%)

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))
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(-.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)))))

simplify126.0ms (0.6%)

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

eval159.0ms (0.7%)

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

prune113.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	247	18	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	247	19	266

Accurracy

9.7%

Counts

266 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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))
	6.6%	(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))
	6.7%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.7%	(/.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)))
▶	6.6%	(/.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)))
	6.7%	(/.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)))))
▶	8.1%	(-.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)))))
	6.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.6%	(.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))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.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))))))))
	6.6%	(.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))))))
▶	6.7%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	6.7%	(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)))))))))
	6.7%	(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))))
▶	6.6%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.7%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.6%	(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))
	6.6%	(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))
	6.7%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.7%	(/.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)))
▶	6.6%	(/.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)))
	6.7%	(/.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)))))
▶	8.1%	(-.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)))))
	6.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.6%	(.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))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.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))))))))
	6.6%	(.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))))))
▶	6.7%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	6.7%	(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)))))))))
	6.7%	(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))))
▶	6.6%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.7%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))

Compiler

Compiled 1708 to 1570 computations (8.1% saved)

localize5.2s (22.8%)

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))))
✓	8.2%	(-.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)))
✓	100.0%	(sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	8.2%	(log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)))))
✓	8.2%	(fma.f64 1/2 (PI.f64) (.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%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	8.3%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
✓	8.2%	(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)))))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Compiler

Compiled 389 to 323 computations (17% saved)

series83.0ms (0.4%)

Counts

17 → 168

Calls

48 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)))))
24.0ms	x	@	inf	(log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)))))
15.0ms	x	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)))))
1.0ms	x	@	inf	(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -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)))

rewrite172.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`add-sqr-sqrt`
756×	`pow1`
750×	`*-un-lft-identity`
724×	`add-exp-log`
720×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	565
1	951	551

Stop Event

1×	node limit

Counts

17 → 474

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

simplify340.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1038×	`log-prod`
904×	`fma-neg`
848×	`exp-prod`
540×	`cube-prod`
514×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	31802
1	1522	25182
2	4984	25170

Stop Event

1×	node limit

Counts

642 → 407

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

eval362.0ms (1.6%)

Compiler: Compiled 16084 to 14029 computations (12.8% saved)

prune443.0ms (2%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	513	20	533
Fresh	1	12	13
Picked	3	2	5
Done	0	1	1
Total	517	35	552

Accurracy

9.8%

Counts

552 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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))
	6.6%	(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))
	6.7%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.6%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.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)))
	6.7%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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)))
	6.6%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 2) (pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.f64 (/.f64 (-.f64 (.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 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	8.1%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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)))
	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2) 1/3)) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.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 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.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))))
	6.7%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) 8)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.5%	(/.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (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))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.7%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (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)))
	6.7%	(/.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)))))
✓	8.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.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)))))
▶	6.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.6%	(.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))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
▶	6.5%	(.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))))))))
	6.6%	(.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))))))
▶	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)))) 3))
	6.7%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	6.7%	(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)))))))))
	6.7%	(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))))
▶	8.1%	(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))))
	6.6%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2) 1/3)) -2 (.f64 (PI.f64) 1/2))))
	6.6%	(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (PI.f64) 1/2)))))
	6.6%	(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%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.6%	(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))
	6.6%	(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))
	6.7%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.6%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.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)))
	6.7%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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)))
	6.6%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 2) (pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.f64 (/.f64 (-.f64 (.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 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	8.1%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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)))
	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2) 1/3)) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.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 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.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))))
	6.7%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) 8)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.5%	(/.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (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))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.7%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (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)))
	6.7%	(/.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)))))
✓	8.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.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)))))
▶	6.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.6%	(.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))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
▶	6.5%	(.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))))))))
	6.6%	(.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))))))
▶	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)))) 3))
	6.7%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	6.7%	(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)))))))))
	6.7%	(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))))
▶	8.1%	(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))))
	6.6%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2) 1/3)) -2 (.f64 (PI.f64) 1/2))))
	6.6%	(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (PI.f64) 1/2)))))
	6.6%	(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%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))

Compiler

Compiled 4240 to 3874 computations (8.6% saved)

localize3.7s (16.5%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
✓	97.6%	(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
✓	97.6%	(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)
✓	8.2%	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))))
✓	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))))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	8.0%	(-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
✓	99.1%	(cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))
✓	98.9%	(pow.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))) 3)
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	8.2%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -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)))))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
✓	8.3%	(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))))
✓	8.2%	(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))

Compiler

Compiled 605 to 511 computations (15.5% saved)

series34.0ms (0.1%)

Counts

19 → 192

Calls

54 calls:

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

rewrite141.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`add-sqr-sqrt`
1034×	`pow1`
986×	`add-exp-log`
984×	`add-log-exp`
984×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	643
1	1310	643

Stop Event

1×	node limit

Counts

19 → 209

Calls

Call 1

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

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

simplify223.0ms (1%)

Algorithm

1×	egg-herbie

Rules

906×	`exp-prod`
844×	`associate-r`
796×	`fma-neg`
782×	`associate-l`
760×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	14973
1	1186	14489
2	4584	14439

Stop Event

1×	node limit

Counts

401 → 318

Calls

Call 1

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

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

eval260.0ms (1.1%)

Compiler: Compiled 12124 to 10598 computations (12.6% saved)

prune198.0ms (0.9%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	353	13	366
Fresh	5	22	27
Picked	2	3	5
Done	0	3	3
Total	360	41	401

Accurracy

9.9%

Counts

401 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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))
	6.6%	(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%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.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)))
▶	6.7%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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)))
	6.6%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (.f64 16 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2)))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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)))
	6.6%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 2) (pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2) (.f64 16 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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)))
	6.6%	(/.f64 (/.f64 (-.f64 (.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 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.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 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.8%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.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)))))))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
▶	6.6%	(/.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))))
	6.7%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) 8)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.7%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (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)))
	4.7%	(/.f64 (exp.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 4 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.7%	(/.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)))))
✓	8.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.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)))))
✓	6.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
▶	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.6%	(.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))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.6%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 1/2 (PI.f64) (fma.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
✓	6.5%	(.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))))))))
	6.6%	(.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))))))
	6.7%	(.f64 2 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 3))
	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3))
	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 3))
	6.7%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	6.7%	(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)))))))))
▶	6.7%	(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))))
	6.6%	(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (PI.f64) 1/2)))))
	6.8%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.6%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
▶	8.1%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
	6.7%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.8%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.6%	(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))
	6.6%	(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%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.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)))
▶	6.7%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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)))
	6.6%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (.f64 16 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2)))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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)))
	6.6%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 2) (pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2) (.f64 16 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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)))
	6.6%	(/.f64 (/.f64 (-.f64 (.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 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.6%	(/.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 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (*.f64 (PI.f64) 1/2)))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.8%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.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)))))))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
▶	6.6%	(/.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))))
	6.7%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) 8)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.7%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (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)))
	4.7%	(/.f64 (exp.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 4 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.7%	(/.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)))))
✓	8.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.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)))))
✓	6.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
▶	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.6%	(.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))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.6%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 1/2 (PI.f64) (fma.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
✓	6.5%	(.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))))))))
	6.6%	(.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))))))
	6.7%	(.f64 2 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 3))
	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3))
	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 3))
	6.7%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	6.7%	(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)))))))))
▶	6.7%	(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))))
	6.6%	(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (PI.f64) 1/2)))))
	6.8%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.6%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
▶	8.1%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
	6.7%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.8%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))

Compiler

Compiled 4930 to 4496 computations (8.8% saved)

localize5.4s (24%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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)))
	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))))
✓	6.7%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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%	(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)
✓	99.6%	(/.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))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	8.2%	(-.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)))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.4%	(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
✓	98.4%	(expm1.f64 (*.f64 (PI.f64) 1/2))
✓	8.3%	(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))))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
✓	98.4%	(asin.f64 (/.f64 1 (sqrt.f64 2)))
	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	100.0%	(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
✓	8.3%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
✓	8.2%	(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))

Compiler

Compiled 522 to 439 computations (15.9% saved)

series79.0ms (0.3%)

Counts

13 → 72

Calls

27 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(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))))
17.0ms	x	@	inf	(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))))
15.0ms	x	@	-inf	(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))))
5.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
1.0ms	x	@	inf	(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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)))

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`add-sqr-sqrt`
920×	`pow1`
914×	`*-un-lft-identity`
878×	`add-exp-log`
874×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	573
1	1165	573

Stop Event

1×	node limit

Counts

13 → 149

Calls

Call 1

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

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

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

616×	`associate-r`
610×	`associate-l`
544×	`unswap-sqr`
528×	`fma-neg`
486×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	12053
1	715	10479
2	3358	10221

Stop Event

1×	node limit

Counts

221 → 168

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

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

eval152.0ms (0.7%)

Compiler: Compiled 7647 to 6649 computations (13.1% saved)

prune112.0ms (0.5%)

Pruning

41 alts after pruning (32 fresh and 9 done)

	Pruned	Kept	Total
New	236	7	243
Fresh	5	25	30
Picked	2	3	5
Done	0	6	6
Total	243	41	284

Accurracy

9.9%

Counts

284 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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))
	6.6%	(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%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.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)))
	6.7%	(/.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (.f64 (sqrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) -4)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
	6.7%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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)))
	6.6%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (.f64 16 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2)))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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)))
	6.6%	(/.f64 (/.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
	6.6%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2) (.f64 16 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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)))
	6.7%	(/.f64 (/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4))) (fma.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))))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	6.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	8.1%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
✓	6.6%	(/.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))))
	6.7%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) 8)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
	6.7%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (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)))
	4.7%	(/.f64 (exp.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 4 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.7%	(/.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)))))
✓	8.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.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)))))
✓	6.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.6%	(.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))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.6%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 1/2 (PI.f64) (fma.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
✓	6.5%	(.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))))))))
	6.6%	(.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))))))
	6.7%	(.f64 2 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 3))
	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 3))
	6.7%	(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 3))
	6.7%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	6.7%	(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)))))))))
	6.7%	(log.f64 (.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	6.6%	(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
	6.8%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.6%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
✓	8.1%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
	6.7%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.8%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))

Compiler

Compiled 3169 to 2822 computations (10.9% saved)

regimes102.0ms (0.5%)

Counts

59 → 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)))))))
(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.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)))))))))
(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -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))))
(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)
(log.f64 (.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(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))))
(.f64 2 (log.f64 (sqrt.f64 (exp.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 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)))) 3))
(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)))))))))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2) 1/3)) -2 (.f64 (PI.f64) 1/2))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -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))))
(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 3))
(.f64 2 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) 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))))
(/.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 (-.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 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (.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)))))))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
(.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 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2) 1/3)) 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 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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)))
(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) -4)) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 1/2 (PI.f64))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (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 (expm1.f64 (log1p.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 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (PI.f64) 1/2)))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (.f64 (sqrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) -4)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3) 8)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.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 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (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 (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 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 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.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 (pow.f64 (PI.f64) 2) 1/4)) (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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 (exp.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 4 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (/.f64 (-.f64 (.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 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 2) (pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (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 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 1/2 (PI.f64) (fma.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2) (.f64 16 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (.f64 16 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) 2)))) (fma.f64 4 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (.f64 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 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (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))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))

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

Calls

7 calls:

24.0ms	x
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))
5.0ms	(-.f64 1 x)
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Accuracy	Segments	Branch
8.1%	1	`x`
8.1%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.1%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.1%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.1%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.1%	1	`(/.f64 (-.f64 1 x) 2)`
8.1%	1	`(-.f64 1 x)`

Compiler

Compiled 1923 to 1685 computations (12.4% saved)

regimes32.0ms (0.1%)

Counts

17 → 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)))))))
(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.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)))))))))
(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -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))))
(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)
(log.f64 (.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(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))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))

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:

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

Results

Accuracy	Segments	Branch
8.1%	1	`x`
8.1%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.1%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.1%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.1%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.1%	1	`(/.f64 (-.f64 1 x) 2)`
8.1%	1	`(-.f64 1 x)`

Compiler

Compiled 308 to 269 computations (12.7% saved)

regimes27.0ms (0.1%)

Counts

6 → 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)))))

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

Calls

7 calls:

11.0ms	x
3.0ms	(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	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(/.f64 (-.f64 1 x) 2)

Results

Accuracy	Segments	Branch
9.6%	3	`x`
6.8%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
6.8%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.8%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.8%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.8%	1	`(/.f64 (-.f64 1 x) 2)`
6.8%	1	`(-.f64 1 x)`

Compiler

Compiled 127 to 111 computations (12.6% 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 (/.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))
2.0ms	(-.f64 1 x)

Results

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

Compiler

Compiled 83 to 74 computations (10.8% saved)

regimes7.0ms (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:

6.0ms

Results

Accuracy	Segments	Branch
5.8%	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
4.2%	1	`x`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch108.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
108.0ms	-8.82409659730903e-310	5.762262743626718e-299

Results

106.0ms

160×

body

2048

valid

Compiler

Compiled 258 to 256 computations (0.8% saved)

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

630×	`unsub-neg`
350×	`neg-mul-1`
238×	`distribute-lft-neg-in`
184×	`distribute-neg-out`
132×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	308
1	105	308
2	161	308
3	195	308
4	235	308
5	264	308
6	281	308
7	428	308
8	822	308
9	1100	308
10	1107	308
11	1149	308
12	1208	308
13	1269	308
14	1330	308
15	1376	308
16	1385	308
17	1394	308

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
(-.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 (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
(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
(log.f64 (exp.f64 (+.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)))))))))
(log.f64 (exp.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))))
(-.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 1/2 (PI.f64)) (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 1/2 (PI.f64)))))
(-.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 103 to 95 computations (7.8% saved)

soundness432.0ms (1.9%)

Rules

1500×	`log-prod`
1500×	`log-prod`
1500×	`log-prod`
774×	`fma-def`
774×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	328	75
2	4296	75
0	43	565
1	951	551
0	15	79
1	328	75
2	4296	75
0	15	79
1	328	75
2	4296	75

Stop Event

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

Compiler

Compiled 504 to 435 computations (13.7% saved)

end0.0ms (0%)

preprocess80.0ms (0.4%)

Compiler: Compiled 230 to 200 computations (13% 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

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%)

sample3.6s (15.7%)

preprocess67.0ms (0.3%)

simplify19.0ms (0.1%)

eval3.0ms (0%)

prune3.0ms (0%)

localize441.0ms (1.9%)

series4.0ms (0%)

rewrite108.0ms (0.5%)

simplify126.0ms (0.6%)

eval159.0ms (0.7%)

prune113.0ms (0.5%)

localize5.2s (22.8%)

series83.0ms (0.4%)

rewrite172.0ms (0.8%)

simplify340.0ms (1.5%)

eval362.0ms (1.6%)

prune443.0ms (2%)

localize3.7s (16.5%)

series34.0ms (0.1%)

rewrite141.0ms (0.6%)

simplify223.0ms (1%)

eval260.0ms (1.1%)

prune198.0ms (0.9%)

localize5.4s (24%)

series79.0ms (0.3%)

rewrite107.0ms (0.5%)

simplify137.0ms (0.6%)

eval152.0ms (0.7%)

prune112.0ms (0.5%)

regimes102.0ms (0.5%)

regimes32.0ms (0.1%)

regimes27.0ms (0.1%)

regimes13.0ms (0.1%)

regimes7.0ms (0%)

regimes3.0ms (0%)

bsearch108.0ms (0.5%)

simplify50.0ms (0.2%)

soundness432.0ms (1.9%)

end0.0ms (0%)

preprocess80.0ms (0.4%)

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