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 (17.4%)

Results

2.4s	4111×	body	1024	valid
608.0ms	2053×	body	512	valid
308.0ms	428×	body	2048	valid
248.0ms	1664×	body	256	valid
1.0ms	7×	body	256	invalid

Bogosity

preprocess54.0ms (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)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 10

Calls

Call 1

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

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

eval3.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

6.4%

Counts

11 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	6.4%	(-.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)

localize233.0ms (1.1%)

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)))
✓	8.0%	(-.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)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite103.0ms (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)))))

simplify132.0ms (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)))

eval318.0ms (1.6%)

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

prune126.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	246	19	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	20	266

Accurracy

9.7%

Counts

266 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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)))))))
▶	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
▶	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 1)))
	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)))))))
	5.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.7%	(+.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))))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(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 (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)))))))
▶	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
▶	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 1)))
	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)))))))
	5.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.7%	(+.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))))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(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 1864 to 1702 computations (8.7% saved)

localize3.8s (18.7%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.5%	(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	6.8%	(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))
✓	99.0%	(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))
✓	98.9%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	8.0%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	100.0%	(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2)
✓	99.9%	(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
✓	98.5%	(asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2)))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
✓	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)))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Compiler

Compiled 317 to 263 computations (17% saved)

series36.0ms (0.2%)

Counts

17 → 176

Calls

48 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
4.0ms	x	@	0	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
4.0ms	x	@	-inf	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)

rewrite160.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`add-sqr-sqrt`
704×	`pow1`
698×	`*-un-lft-identity`
672×	`add-exp-log`
672×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	497
1	794	489

Stop Event

1×	node limit

Counts

17 → 509

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

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

simplify389.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1644×	`fma-neg`
962×	`log-prod`
844×	`associate-r`
758×	`associate-l`
558×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	758	35317
1	1900	28259
2	6783	28251

Stop Event

1×	node limit

Counts

685 → 463

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))))
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(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (-.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(exp.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (acos.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)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(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 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) 1)
(.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(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 1/2 x)))))))
(fma.f64 1/2 (PI.f64) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 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 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 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 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 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 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 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 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))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(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 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(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 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(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 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(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 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (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 1/2 x))))
(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 1/2 x))))
(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 1/2 x))))
(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))
(+.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)))))
(fma.f64 -1/32 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (.f64 -1/16 (/.f64 (.f64 x 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))))))
(fma.f64 -1/32 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (fma.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 -1/16 (/.f64 (.f64 x x) (sqrt.f64 1/2))) (+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 -1/128 (/.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (acos.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)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (neg.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))))
(.f64 1 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(*.f64 1 (/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (-.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 3)) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (-.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (acos.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)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3) 1/3)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 1))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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 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))))
(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 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 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) 1)
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(.f64 1 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 4))
(sqrt.f64 (pow.f64 (cbrt.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 1/2 x)))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 1))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))

eval910.0ms (4.4%)

Compiler: Compiled 18814 to 16309 computations (13.3% saved)

prune414.0ms (2%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	611	18	629
Fresh	2	12	14
Picked	1	4	5
Done	0	1	1
Total	614	35	649

Accurracy

9.8%

Counts

649 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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)))))))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) 1/3)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	1.0%	(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
▶	6.4%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
	6.4%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	6.4%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (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)))))))
	6.4%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.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)))))))))
	6.4%	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (PI.f64) 1/2)))))
	6.4%	(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (fma.f64 (.f64 -2 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 -2 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 1)))
	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)))))))
▶	5.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.6%	(+.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))))
	6.7%	(+.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))))))
▶	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
	6.4%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) 1/2))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(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 (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)))))))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) 1/3)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	1.0%	(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
▶	6.4%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
	6.4%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	6.4%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (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)))))))
	6.4%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.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)))))))))
	6.4%	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (PI.f64) 1/2)))))
	6.4%	(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) 3) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (fma.f64 (.f64 -2 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (.f64 -2 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 1)))
	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)))))))
▶	5.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.6%	(+.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))))
	6.7%	(+.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))))))
▶	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
	6.4%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) 1/2))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(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 3902 to 3578 computations (8.3% saved)

localize2.5s (12.4%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	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))
✓	7.9%	(-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
✓	98.9%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
✓	98.8%	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3)
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	8.0%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))
	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	8.1%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	8.0%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	100.0%	(.f64 (+.f64 (.f64 x -1/2) 1) (sqrt.f64 1/2))
✓	98.5%	(asin.f64 (.f64 (+.f64 (.f64 x -1/2) 1) (sqrt.f64 1/2)))
✓	8.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	100.0%	(/.f64 2 (-.f64 1 x))
✓	98.5%	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	98.5%	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))

Compiler

Compiled 409 to 341 computations (16.6% saved)

series114.0ms (0.6%)

Counts

17 → 176

Calls

48 calls:

Time	Variable		Point	Expression
41.0ms	x	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3)
24.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3)
21.0ms	x	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
17.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3)
1.0ms	x	@	0	(-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

rewrite152.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`add-sqr-sqrt`
870×	`pow1`
864×	`*-un-lft-identity`
828×	`add-exp-log`
826×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	503
1	1081	503

Stop Event

1×	node limit

Counts

17 → 266

Calls

Call 1

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

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

simplify231.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1172×	`fma-neg`
812×	`exp-prod`
722×	`associate-r`
718×	`associate-l`
652×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	602	20500
1	1380	16716
2	5025	16716

Stop Event

1×	node limit

Counts

442 → 324

Calls

Call 1

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

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

eval425.0ms (2.1%)

Compiler: Compiled 18136 to 15917 computations (12.2% saved)

prune525.0ms (2.6%)

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	532	13	545
Fresh	6	19	25
Picked	3	2	5
Done	0	5	5
Total	541	39	580

Accurracy

9.8%

Counts

580 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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)))))))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) 1/3)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	6.4%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	6.4%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	6.4%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 9)
	6.8%	(/.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
	6.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (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)))))))
	6.4%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.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)))))))))
	6.4%	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (PI.f64) 1/2)))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 1)))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	5.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
▶	7.9%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
✓	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	4.2%	(.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 1/2))))))
	7.7%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (+.f64 (fma.f64 (.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))) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.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))))))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (.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)))))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.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))))))))))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	5.9%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 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))))))))
	6.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
	6.8%	(log1p.f64 (expm1.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
▶	8.0%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) 1/2))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.4%	(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 (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)))))))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) 1/3)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/3) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	6.4%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	6.4%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	6.4%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 9)
	6.8%	(/.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
	6.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (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)))))))
	6.4%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.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)))))))))
	6.4%	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (PI.f64) 1/2)))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 1)))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	5.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
▶	7.9%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
✓	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	4.2%	(.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 1/2))))))
	7.7%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (+.f64 (fma.f64 (.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))) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.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))))))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (.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)))))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.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))))))))))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	5.9%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 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))))))))
	6.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
	6.8%	(log1p.f64 (expm1.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
▶	8.0%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) 1/2))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.4%	(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 4230 to 3878 computations (8.3% saved)

localize4.7s (23%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	7.9%	(-.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)))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	98.5%	(cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	6.8%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	99.9%	(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2))
✓	98.5%	(asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 3/2)))
✓	8.1%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2))) -2 (.f64 (PI.f64) 1/2))))
✓	8.0%	(fma.f64 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 x)) 3/2))) -2 (.f64 (PI.f64) 1/2))
✓	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 x -1/2))))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
✓	8.1%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))))
✓	8.0%	(fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))

Compiler

Compiled 449 to 374 computations (16.7% saved)

series10.0ms (0%)

Counts

14 → 116

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
1.0ms	x	@	inf	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
1.0ms	x	@	-inf	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
0.0ms	x	@	0	(fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))
0.0ms	x	@	-inf	(fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -2 (*.f64 (PI.f64) 1/2))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`add-sqr-sqrt`
852×	`pow1`
844×	`*-un-lft-identity`
810×	`add-exp-log`
806×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	474
1	1039	426

Stop Event

1×	node limit

Counts

14 → 218

Calls

Call 1

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

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

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

546×	`associate-+r+`
496×	`associate-+l+`
480×	`exp-prod`
478×	`associate-/l*`
430×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	12744
1	1002	12196
2	3217	11602

Stop Event

1×	node limit

Counts

334 → 261

Calls

Call 1

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

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

eval286.0ms (1.4%)

Compiler: Compiled 12985 to 11231 computations (13.5% saved)

prune123.0ms (0.6%)

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	400	5	405
Fresh	4	23	27
Picked	2	3	5
Done	1	6	7
Total	407	37	444

Accurracy

9.9%

Counts

444 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(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)))))))
	6.7%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) 1/3)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	6.6%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 1/6) 2) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (.f64 -2 (cbrt.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)))) 1/3) (.f64 (PI.f64) 1/2))
	6.8%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (/.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))
✓	6.4%	(fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	6.4%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	6.4%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	6.4%	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 9)
	6.8%	(/.f64 (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 -4 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2))) (fma.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
	6.4%	(/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (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)))))))
	6.4%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3))) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (+.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)))))))))
	6.4%	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 3) (.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 (PI.f64) 1/2)))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 1)))
	6.7%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	5.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.3%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))) (fma.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
	7.9%	(.f64 (+.f64 (.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)))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
✓	7.9%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	4.2%	(.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 1/2))))))
	7.7%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (+.f64 (fma.f64 (.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))) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.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))))))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (.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)))))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.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))))))))))))
	6.8%	(log1p.f64 (expm1.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.4%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	8.0%	(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)))))
	6.4%	(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 2777 to 2479 computations (10.7% saved)

regimes95.0ms (0.5%)

Counts

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

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:

26.0ms	x
6.0ms	(-.f64 1 x)
6.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Accuracy	Segments	Branch
8.0%	1	`x`
8.0%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.0%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.0%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.0%	1	`(/.f64 (-.f64 1 x) 2)`
8.0%	1	`(-.f64 1 x)`

Compiler

Compiled 1714 to 1504 computations (12.3% saved)

regimes33.0ms (0.2%)

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

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
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(-.f64 1 x)
3.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
8.0%	1	`x`
8.0%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.0%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.0%	1	`(/.f64 (-.f64 1 x) 2)`
8.0%	1	`(-.f64 1 x)`
8.0%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 299 to 260 computations (13% saved)

regimes31.0ms (0.1%)

Counts

8 → 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 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 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 (-.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 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))

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

Calls

7 calls:

13.0ms	x
2.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms	(/.f64 (-.f64 1 x) 2)

Results

Accuracy	Segments	Branch
9.5%	3	`x`
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)`
6.8%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 157 to 137 computations (12.7% saved)

regimes13.0ms (0.1%)

Counts

4 → 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 (+.f64 (*.f64 x -1/2) 1) (sqrt.f64 1/2)))))

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 (-.f64 1 x) 2)

Results

Accuracy	Segments	Branch
6.4%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.4%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.4%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.4%	1	`(/.f64 (-.f64 1 x) 2)`
6.4%	1	`(-.f64 1 x)`
6.4%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 98 to 87 computations (11.2% saved)

regimes6.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
6.0%	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:

3.0ms

Results

Accuracy	Segments	Branch
4.1%	1	`x`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch96.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
95.0ms	-1.7585816275220191e-304	1.3419165051945733e-304

Results

93.0ms

144×

body

2048

valid

Compiler

Compiled 234 to 232 computations (0.9% saved)

simplify51.0ms (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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (-.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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (-.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)

soundness406.0ms (2%)

Rules

1500×	`log-prod`
1500×	`log-prod`
1500×	`log-prod`
892×	`add-sqr-sqrt`
870×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	328	75
2	4296	75
0	49	503
1	1081	503
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 559 to 481 computations (14% saved)

end0.0ms (0%)

preprocess95.0ms (0.5%)

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 (17.4%)

preprocess54.0ms (0.3%)

simplify20.0ms (0.1%)

eval3.0ms (0%)

prune2.0ms (0%)

localize233.0ms (1.1%)

series3.0ms (0%)

rewrite103.0ms (0.5%)

simplify132.0ms (0.6%)

eval318.0ms (1.6%)

prune126.0ms (0.6%)

localize3.8s (18.7%)

series36.0ms (0.2%)

rewrite160.0ms (0.8%)

simplify389.0ms (1.9%)

eval910.0ms (4.4%)

prune414.0ms (2%)

localize2.5s (12.4%)

series114.0ms (0.6%)

rewrite152.0ms (0.7%)

simplify231.0ms (1.1%)

eval425.0ms (2.1%)

prune525.0ms (2.6%)

localize4.7s (23%)

series10.0ms (0%)

rewrite117.0ms (0.6%)

simplify146.0ms (0.7%)

eval286.0ms (1.4%)

prune123.0ms (0.6%)

regimes95.0ms (0.5%)

regimes33.0ms (0.2%)

regimes31.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

bsearch96.0ms (0.5%)

simplify51.0ms (0.2%)

soundness406.0ms (2%)

end0.0ms (0%)

preprocess95.0ms (0.5%)

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