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 (18.5%)

Results

2.3s	4056×	body	1024	valid
670.0ms	2131×	body	512	valid
314.0ms	435×	body	2048	valid
274.0ms	1634×	body	256	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess30.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify27.0ms (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

7.1%

Counts

11 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	7.1%	(-.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)

localize241.0ms (1.2%)

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)))
✓	8.5%	(-.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	@	0	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
1.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
0.0ms	x	@	0	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
0.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

rewrite209.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

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

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

221 → 265

Calls

Call 1

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

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

eval264.0ms (1.4%)

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

prune169.0ms (0.9%)

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

10.3%

Counts

266 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.9%	(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))
▶	7.1%	(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))
	7.1%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.0%	(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))
	2.2%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	7.1%	(/.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)))
▶	8.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	7.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.1%	(-.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))))
	6.9%	(.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	7.0%	(.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))))))
	7.0%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	7.1%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	7.1%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	2.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
▶	2.2%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.9%	(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))
▶	7.1%	(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))
	7.1%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.0%	(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))
	2.2%	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
	7.1%	(/.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)))
▶	8.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	7.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.1%	(-.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))))
	6.9%	(.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	7.0%	(.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))))))
	7.0%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	7.1%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	7.1%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	2.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
▶	2.2%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))

Compiler

Compiled 1532 to 1414 computations (7.7% saved)

localize2.8s (14.3%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	53.0%	(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))
✓	51.9%	(PI.f64)
✓	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	95.6%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
✓	54.3%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	51.9%	(PI.f64)
✓	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	95.6%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
✓	54.3%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	51.9%	(PI.f64)
✓	99.2%	(asin.f64 (sqrt.f64 1/2))
✓	51.9%	(PI.f64)
✓	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)))))
✓	54.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
✓	51.9%	(PI.f64)

Compiler

Compiled 339 to 280 computations (17.4% saved)

series8.0ms (0%)

Counts

18 → 144

Calls

36 calls:

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

rewrite161.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`add-sqr-sqrt`
624×	`pow1`
622×	`*-un-lft-identity`
596×	`add-exp-log`
594×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	400
1	696	376

Stop Event

1×	node limit

Counts

18 → 674

Calls

Call 1

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

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

simplify337.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1874×	`fma-neg`
738×	`log-prod`
686×	`associate-r`
684×	`associate-l`
612×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	501	40740
1	1210	34114
2	5259	34066

Stop Event

1×	node limit

Counts

818 → 316

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

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

eval353.0ms (1.8%)

Compiler: Compiled 12803 to 10897 computations (14.9% saved)

prune150.0ms (0.8%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	468	11	479
Fresh	1	13	14
Picked	2	3	5
Done	0	1	1
Total	471	28	499

Accurracy

10.4%

Counts

499 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.9%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.9%	(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))
	7.3%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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))
	7.1%	(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
✓	7.1%	(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))
▶	7.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.f64 (PI.f64) 1/2))
	7.1%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.0%	(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))
	2.2%	(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	2.2%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3)))
	7.1%	(/.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)))
✓	8.5%	(-.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)))))
	7.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.1%	(-.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))))
	6.9%	(.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	7.0%	(.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))))))
	7.0%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	7.1%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	7.1%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1/3))
▶	7.3%	(exp.f64 (log.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))))
	2.2%	(exp.f64 (log.f64 (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	2.2%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	6.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.9%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.9%	(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))
	7.3%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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))
	7.1%	(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
✓	7.1%	(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))
▶	7.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.f64 (PI.f64) 1/2))
	7.1%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.0%	(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))
	2.2%	(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	2.2%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3)))
	7.1%	(/.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)))
✓	8.5%	(-.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)))))
	7.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.1%	(-.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))))
	6.9%	(.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	7.0%	(.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))))))
	7.0%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	7.1%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	7.1%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1/3))
▶	7.3%	(exp.f64 (log.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))))
	2.2%	(exp.f64 (log.f64 (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	2.2%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))

Compiler

Compiled 2246 to 2064 computations (8.1% saved)

localize3.1s (15.8%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	53.0%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.f64 (PI.f64) 1/2))
	51.9%	(PI.f64)
✓	95.7%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3)))
✓	69.6%	(log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3))
✓	54.3%	(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))
	51.9%	(PI.f64)
✓	100.0%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	54.3%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
	51.9%	(PI.f64)
✓	99.3%	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	99.2%	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	54.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
	51.9%	(PI.f64)
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
✓	95.6%	(exp.f64 (log.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))))
✓	54.3%	(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))
	51.9%	(PI.f64)

Compiler

Compiled 435 to 360 computations (17.2% saved)

series134.0ms (0.7%)

Counts

12 → 136

Calls

36 calls:

Time	Variable		Point	Expression
43.0ms	x	@	0	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3)))
39.0ms	x	@	0	(log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3))
26.0ms	x	@	inf	(log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3))
18.0ms	x	@	-inf	(log.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)) 3))
1.0ms	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))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`add-sqr-sqrt`
912×	`pow1`
902×	`*-un-lft-identity`
872×	`log1p-expm1-u`
868×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	462
1	1031	462

Stop Event

1×	node limit

Counts

12 → 131

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

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

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1262×	`fma-def`
744×	`log-prod`
700×	`distribute-rgt-in`
692×	`*-commutative`
688×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	9567
1	715	9315
2	2191	9309
3	7403	9309

Stop Event

1×	node limit

Counts

267 → 160

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

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

eval618.0ms (3.2%)

Compiler: Compiled 17194 to 14351 computations (16.5% saved)

prune139.0ms (0.7%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	764	11	775
Fresh	3	16	19
Picked	3	2	5
Done	0	4	4
Total	770	33	803

Accurracy

10.4%

Counts

803 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.9%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.9%	(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))
	7.3%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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))
	7.1%	(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
✓	7.1%	(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))
✓	7.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.f64 (PI.f64) 1/2))
	7.1%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.0%	(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))
▶	7.3%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.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)) 3)))
▶	2.2%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)))
	7.1%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
▶	7.1%	(/.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)))
✓	8.5%	(-.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)))))
▶	7.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	7.1%	(-.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))))
	6.9%	(.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	7.1%	(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))) (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))) (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))))
	7.0%	(.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))))))
	7.0%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	7.1%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.2%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	7.1%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	2.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1/3))
	2.2%	(exp.f64 (log.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))))
	2.2%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	7.3%	(exp.f64 (log.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)))))
	2.2%	(exp.f64 (log.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))))
	6.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.9%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.9%	(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))
	7.3%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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))
	7.1%	(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
✓	7.1%	(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))
✓	7.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.f64 (PI.f64) 1/2))
	7.1%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.0%	(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))
▶	7.3%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.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)) 3)))
▶	2.2%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)))
	7.1%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
▶	7.1%	(/.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)))
✓	8.5%	(-.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)))))
▶	7.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	7.1%	(-.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))))
	6.9%	(.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	7.1%	(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))) (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))) (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))))
	7.0%	(.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))))))
	7.0%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	7.1%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.2%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (/.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	7.1%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	2.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1/3))
	2.2%	(exp.f64 (log.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))))
	2.2%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	7.3%	(exp.f64 (log.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)))))
	2.2%	(exp.f64 (log.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))))

Compiler

Compiled 2852 to 2612 computations (8.4% saved)

localize4.7s (24.2%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.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)))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	54.4%	(-.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)))
	51.9%	(PI.f64)
✓	95.7%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)))
✓	69.6%	(log.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3))
✓	54.3%	(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
	51.9%	(PI.f64)
✓	99.2%	(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	54.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	51.9%	(PI.f64)
✓	99.2%	(/.f64 1 (sqrt.f64 2))
✓	99.2%	(asin.f64 (/.f64 1 (sqrt.f64 2)))
	51.9%	(PI.f64)
✓	95.7%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.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)) 3)))
✓	69.6%	(log.f64 (pow.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)) 3))
	54.3%	(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))
	51.9%	(PI.f64)

Compiler

Compiled 465 to 394 computations (15.3% saved)

series283.0ms (1.5%)

Counts

11 → 92

Calls

27 calls:

Time	Variable		Point	Expression
124.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
28.0ms	x	@	-inf	(log.f64 (pow.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)) 3))
28.0ms	x	@	0	(log.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3))
24.0ms	x	@	0	(log.f64 (pow.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)) 3))
19.0ms	x	@	inf	(log.f64 (pow.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)) 3))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`add-sqr-sqrt`
924×	`pow1`
916×	`*-un-lft-identity`
896×	`add-exp-log`
892×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	477
1	1310	477

Stop Event

1×	node limit

Counts

11 → 132

Calls

Call 1

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

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

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

760×	`times-frac`
756×	`associate-r`
688×	`associate-l`
564×	`unswap-sqr`
554×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	8668
1	875	8386
2	3486	8350

Stop Event

1×	node limit

Counts

224 → 143

Calls

Call 1

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

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

eval553.0ms (2.8%)

Compiler: Compiled 22677 to 19230 computations (15.2% saved)

prune111.0ms (0.6%)

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	864	6	870
Fresh	1	21	22
Picked	2	3	5
Done	0	6	6
Total	867	36	903

Accurracy

10.5%

Counts

903 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.9%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.9%	(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))
	7.3%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.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))
	7.1%	(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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
✓	7.1%	(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))
✓	7.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (.f64 (PI.f64) 1/2))
	7.1%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.0%	(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))
	7.3%	(pow.f64 (.f64 (pow.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))) 2) (+.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)))) 1/3)
✓	2.2%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3)))
	7.3%	(pow.f64 (exp.f64 1/3) (log.f64 (pow.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))) 3)))
	7.1%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (pow.f64 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))) 2) -4)) (fma.f64 1/2 (PI.f64) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
	7.1%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) -16)) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	8.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	7.1%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	7.2%	(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (PI.f64) 1/2))) (/.f64 (.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))))
✓	8.5%	(-.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)))))
✓	7.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	7.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	7.1%	(-.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))))
	6.9%	(.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	7.1%	(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))) (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))) (cbrt.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))))
	7.0%	(.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))))))
	7.0%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))
	7.1%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.1%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	2.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1/3))
	2.2%	(exp.f64 (log.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2))))
	2.2%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	7.3%	(exp.f64 (log.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)))))
	2.2%	(exp.f64 (log.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))))

Compiler

Compiled 2007 to 1780 computations (11.3% saved)

regimes87.0ms (0.4%)

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

21.0ms	x
8.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.0ms	(/.f64 (-.f64 1 x) 2)
6.0ms	(-.f64 1 x)
5.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
8.6%	1	`x`
8.6%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.6%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.6%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.6%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.6%	1	`(/.f64 (-.f64 1 x) 2)`
8.6%	1	`(-.f64 1 x)`

Compiler

Compiled 1172 to 1016 computations (13.3% saved)

regimes68.0ms (0.4%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	x
5.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
8.5%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.5%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.5%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.5%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.5%	1	`(/.f64 (-.f64 1 x) 2)`
8.5%	1	`(-.f64 1 x)`
8.5%	1	`x`

Compiler

Compiled 851 to 739 computations (13.2% saved)

regimes28.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	x
3.0ms	(-.f64 1 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)))

Results

Accuracy	Segments	Branch
7.1%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.1%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.1%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.1%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.1%	1	`(/.f64 (-.f64 1 x) 2)`
7.1%	1	`(-.f64 1 x)`
10.0%	3	`x`

Compiler

Compiled 127 to 111 computations (12.6% 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:

2.0ms

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	-5.98427155256894e-308	5.171146780756447e-301

Results

93.0ms

144×

body

2048

valid

Compiler

Compiled 234 to 232 computations (0.9% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

672×	`unsub-neg`
372×	`neg-mul-1`
242×	`distribute-lft-neg-in`
192×	`distribute-neg-out`
138×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	307
1	100	307
2	162	307
3	200	307
4	243	307
5	273	307
6	290	307
7	455	307
8	883	307
9	1191	307
10	1202	307
11	1242	307
12	1292	307
13	1347	307
14	1397	307
15	1431	307
16	1438	307
17	1445	307

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 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 (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 (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
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(-.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 102 to 93 computations (8.8% saved)

soundness429.0ms (2.2%)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	328	75
2	4296	75
0	33	400
1	696	376
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 493 to 424 computations (14% saved)

end84.0ms (0.4%)

Compiler: Compiled 230 to 200 computations (13% saved)

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

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

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

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

analyze4.0ms (0%)

sample3.6s (18.5%)

preprocess30.0ms (0.2%)

simplify27.0ms (0.1%)

eval3.0ms (0%)

prune2.0ms (0%)

localize241.0ms (1.2%)

series3.0ms (0%)

rewrite209.0ms (1.1%)

simplify133.0ms (0.7%)

eval264.0ms (1.4%)

prune169.0ms (0.9%)

localize2.8s (14.3%)

series8.0ms (0%)

rewrite161.0ms (0.8%)

simplify337.0ms (1.7%)

eval353.0ms (1.8%)

prune150.0ms (0.8%)

localize3.1s (15.8%)

series134.0ms (0.7%)

rewrite104.0ms (0.5%)

simplify148.0ms (0.8%)

eval618.0ms (3.2%)

prune139.0ms (0.7%)

localize4.7s (24.2%)

series283.0ms (1.5%)

rewrite104.0ms (0.5%)

simplify131.0ms (0.7%)

eval553.0ms (2.8%)

prune111.0ms (0.6%)

regimes87.0ms (0.4%)

regimes68.0ms (0.4%)

regimes28.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

bsearch96.0ms (0.5%)

simplify52.0ms (0.3%)

soundness429.0ms (2.2%)

end84.0ms (0.4%)

Profiling

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

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