Metrics for Ian Simplification

analyze5.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample3.3s (17.2%)

Results

1.8s	4200×	body	1024	valid
757.0ms	2041×	body	512	valid
424.0ms	412×	body	2048	valid
329.0ms	1603×	body	256	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 10

Calls

Call 1

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

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

eval3.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

6.4%

Counts

11 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 26 computations (7.1% saved)

localize454.0ms (2.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

series40.0ms (0.2%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms	x	@	inf	(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)))))
1.0ms	x	@	0	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

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

simplify156.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

221 → 265

Calls

Call 1

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

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

eval141.0ms (0.7%)

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

prune141.0ms (0.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	249	16	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	17	266

Accurracy

9.6%

Counts

266 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	1.8%	(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)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
▶	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 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)))
▶	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.4%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.4%	(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)))))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	1.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.8%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	1.8%	(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)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
▶	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 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)))
▶	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	6.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.4%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.4%	(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)))))))
▶	6.4%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	1.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.8%	(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 1316 to 1210 computations (8.1% saved)

localize4.0s (20.5%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)
✓	99.6%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	8.2%	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	6.6%	(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))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	8.3%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
✓	8.2%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	98.4%	(asin.f64 (sqrt.f64 1/2))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Compiler

Compiled 339 to 275 computations (18.9% saved)

series14.0ms (0.1%)

Counts

17 → 156

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
1.0ms	x	@	-inf	(/.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)))
1.0ms	x	@	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))
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	(/.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)))

rewrite161.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`add-sqr-sqrt`
754×	`pow1`
748×	`*-un-lft-identity`
716×	`add-exp-log`
714×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	515
1	833	503

Stop Event

1×	node limit

Counts

17 → 442

Calls

Call 1

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

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

simplify245.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1170×	`fma-neg`
846×	`log-prod`
754×	`exp-prod`
646×	`times-frac`
498×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	646	27564
1	1443	21764
2	4837	21748

Stop Event

1×	node limit

Counts

598 → 374

Calls

Call 1

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

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

eval448.0ms (2.3%)

Compiler: Compiled 16430 to 13970 computations (15% saved)

prune210.0ms (1.1%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	551	16	567
Fresh	0	11	11
Picked	2	3	5
Done	0	1	1
Total	553	31	584

Accurracy

9.8%

Counts

584 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
✓	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	3.9%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) -2))
	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
▶	1.8%	(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)
	6.3%	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (*.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.5%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
▶	6.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.4%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.4%	(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)))))))
▶	8.2%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.4%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	1.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.8%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
✓	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	3.9%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) -2))
	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
▶	1.8%	(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)
	6.3%	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (*.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.5%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
▶	6.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.4%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.4%	(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)))))))
▶	8.2%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
	6.4%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	1.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))) 1/3))
	1.8%	(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 2922 to 2642 computations (9.6% saved)

localize2.7s (14.1%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.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))))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	54.6%	(PI.f64)
	51.5%	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
	99.2%	(sqrt.f64 (PI.f64))
✓	54.6%	(PI.f64)
✓	51.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	64.3%	(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)
✓	54.6%	(PI.f64)
	51.5%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	99.2%	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	99.2%	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	54.6%	(PI.f64)
✓	51.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
✓	54.6%	(PI.f64)
✓	51.5%	(log.f64 (exp.f64 (fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))))
✓	51.5%	(fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))

Compiler

Compiled 440 to 358 computations (18.6% saved)

series18.0ms (0.1%)

Counts

15 → 112

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
2.0ms	x	@	0	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)) 3) 1/3)
1.0ms	x	@	inf	(fma.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2 (*.f64 (PI.f64) 1/2))
1.0ms	x	@	0	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`add-sqr-sqrt`
922×	`pow1`
912×	`*-un-lft-identity`
888×	`add-exp-log`
886×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	413
1	1142	413

Stop Event

1×	node limit

Counts

15 → 159

Calls

Call 1

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

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

simplify151.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1390×	`fma-def`
748×	`*-commutative`
746×	`associate-/l*`
702×	`log-prod`
446×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	10211
1	629	9185
2	2275	9181
3	7326	9181

Stop Event

1×	node limit

Counts

271 → 143

Calls

Call 1

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

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

eval568.0ms (2.9%)

Compiler: Compiled 11512 to 9543 computations (17.1% saved)

prune277.0ms (1.4%)

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	396	14	410
Fresh	2	20	22
Picked	3	2	5
Done	0	4	4
Total	401	40	441

Accurracy

9.9%

Counts

441 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) -2))
✓	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	3.9%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.7%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) -2))
	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	6.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	1.8%	(pow.f64 (pow.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2)) 3) 1/3)
	1.8%	(pow.f64 (pow.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
	1.8%	(pow.f64 (pow.f64 (exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
	6.3%	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (*.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.5%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.5%	(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
✓	6.4%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.4%	(.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
	6.6%	(log1p.f64 (expm1.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.4%	(log.f64 (/.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)))))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
▶	8.2%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
	6.4%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	1.8%	(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))
	5.6%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) -2))
✓	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	3.9%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.7%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) -2))
	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	6.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	1.8%	(pow.f64 (pow.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2)) 3) 1/3)
	1.8%	(pow.f64 (pow.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
	1.8%	(pow.f64 (pow.f64 (exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
	6.3%	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	6.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (*.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.5%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.5%	(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
✓	6.4%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.4%	(.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
	6.6%	(log1p.f64 (expm1.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.4%	(log.f64 (/.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)))))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
▶	8.2%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
	6.4%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	1.8%	(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))
	5.6%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))

Compiler

Compiled 3986 to 3608 computations (9.5% saved)

localize4.1s (21.3%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)
✓	99.2%	(cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
	54.6%	(PI.f64)
	51.5%	(-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	99.2%	(sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
	54.6%	(PI.f64)
✓	49.9%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	95.0%	(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))
	54.6%	(PI.f64)
	51.5%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	99.2%	(/.f64 1 (sqrt.f64 2))
✓	99.2%	(asin.f64 (/.f64 1 (sqrt.f64 2)))
	54.6%	(PI.f64)
✓	100.0%	(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
	54.6%	(PI.f64)
✓	51.5%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
✓	51.5%	(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))

Compiler

Compiled 495 to 418 computations (15.6% saved)

series13.0ms (0.1%)

Counts

10 → 84

Calls

24 calls:

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

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`add-sqr-sqrt`
730×	`pow1`
726×	`*-un-lft-identity`
702×	`add-exp-log`
698×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	370
1	887	296

Stop Event

1×	node limit

Counts

10 → 256

Calls

Call 1

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

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

simplify197.0ms (1%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def`
756×	`associate-r`
742×	`log-prod`
694×	`associate-l`
656×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	704	18666
1	1762	15822
2	6337	15284

Stop Event

1×	node limit

Counts

340 → 435

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(+.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 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(pow.f64 1/2 1/6)
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 1/2 1/6))) (pow.f64 1/2 1/6))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 1/2 1/6))) (+.f64 (pow.f64 1/2 1/6) (.f64 -5/72 (.f64 (pow.f64 x 2) (pow.f64 1/2 1/6)))))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 1/2 1/6))) (+.f64 (pow.f64 1/2 1/6) (+.f64 (.f64 -55/1296 (.f64 (pow.f64 x 3) (pow.f64 1/2 1/6))) (.f64 -5/72 (.f64 (pow.f64 x 2) (pow.f64 1/2 1/6))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) x)) (.f64 -5/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (.f64 -55/1296 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (.f64 -5/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))))
(+.f64 (.f64 -1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) x)) (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))))
(+.f64 (.f64 -1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) x)) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) (.f64 -5/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) x)) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) (+.f64 (.f64 -5/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) (pow.f64 x 2))) (.f64 -55/1296 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))) (pow.f64 x 3))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/3 (sqrt.f64 1/2)) (*.f64 -1/6 (sqrt.f64 1/2))) x))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (+.f64 (.f64 -1/3 (sqrt.f64 1/2)) (.f64 -1/6 (sqrt.f64 1/2))) x) (.f64 (+.f64 (.f64 1/18 (sqrt.f64 1/2)) (+.f64 (.f64 -5/72 (sqrt.f64 1/2)) (.f64 (+.f64 (.f64 1/36 (pow.f64 1/2 1/3)) (*.f64 -5/36 (pow.f64 1/2 1/3))) (pow.f64 1/2 1/6)))) (pow.f64 x 2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -55/648 (pow.f64 1/2 1/3)) (.f64 5/216 (pow.f64 1/2 1/3))) (pow.f64 1/2 1/6)) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 1/2 1/3)) (.f64 -5/36 (pow.f64 1/2 1/3))) (pow.f64 1/2 1/6))) (+.f64 (.f64 -55/1296 (sqrt.f64 1/2)) (.f64 5/216 (sqrt.f64 1/2))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (sqrt.f64 1/2)) (.f64 -1/6 (sqrt.f64 1/2))) x) (.f64 (+.f64 (.f64 1/18 (sqrt.f64 1/2)) (+.f64 (.f64 -5/72 (sqrt.f64 1/2)) (.f64 (+.f64 (.f64 1/36 (pow.f64 1/2 1/3)) (*.f64 -5/36 (pow.f64 1/2 1/3))) (pow.f64 1/2 1/6)))) (pow.f64 x 2)))))
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
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(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1)
(*.f64 1 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))
(*.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))
(pow.f64 1/2 1/2)
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (sqrt.f64 1/2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)
(pow.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) 1) -1)
(sqrt.f64 1/2)
(log.f64 (exp.f64 (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 1/2 (sqrt.f64 1/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 1/2)))
(exp.f64 (log.f64 (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 1/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))))) 1)
(.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (*.f64 1/2 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))
(.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))) (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) 3) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 1/2 (PI.f64))))))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))) 1)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (exp.f64 3) (.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (*.f64 1/2 (PI.f64)))) 1/3))
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (E.f64) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))))))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))) 1)
(.f64 1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(.f64 (sqrt.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64)))) (sqrt.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 2) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64))))))
(pow.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))))
(-.f64 0 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1/4))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (sqrt.f64 2))
(.f64 -1 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/2))
(/.f64 (-.f64 0 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 3/2)) (+.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 0 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 1/2)
(pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) 3)
(pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 3/2) 1/3)
(pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 1/4) 2)
(neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(fabs.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6))) 1)
(.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/6)) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 1/6) (pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1/6))
(.f64 (pow.f64 1 1/3) (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)))
(.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/4) 1/3) (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 1/3))
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(log.f64 (exp.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)))
(exp.f64 (log.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 1)
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))
(.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/6) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6))
(.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 2)) (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/6))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1/6) 3))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 x) 2) (.f64 1/2 (.f64 1/2 x))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (.f64 1/2 x) 2))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 1))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 -1/2 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))

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

eval643.0ms (3.3%)

Compiler: Compiled 31216 to 26692 computations (14.5% saved)

prune182.0ms (0.9%)

Pruning

46 alts after pruning (36 fresh and 10 done)

	Pruned	Kept	Total
New	947	9	956
Fresh	2	27	29
Picked	1	4	5
Done	0	6	6
Total	950	46	996

Accurracy

9.9%

Counts

996 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.5%	(fma.f64 (sqrt.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 1))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 1/2))
✓	6.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
✓	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) -2))
✓	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	3.9%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.7%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) -2))
	6.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	6.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) -2))
	6.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	1.8%	(pow.f64 (pow.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2)) 3) 1/3)
	1.8%	(pow.f64 (pow.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))) 3) 1/3)
	6.3%	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 3)
	6.4%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	1.8%	(pow.f64 (E.f64) (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2 (.f64 1/2 (PI.f64)))))
	6.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	6.4%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (*.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.4%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))))
	6.5%	(/.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (.f64 (PI.f64) 1/2)))
	6.5%	(/.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))
✓	8.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	3.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.5%	(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64 (.f64 -64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 16)))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
✓	6.4%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))))
	6.5%	(.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (sqrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2)))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
	6.3%	(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	6.4%	(.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))))) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
	6.6%	(log1p.f64 (expm1.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	6.4%	(log.f64 (/.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)))))))
	6.4%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))
✓	8.2%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
	6.4%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	1.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2)))) 1/3))
	1.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2 (.f64 (PI.f64) 1/2)))))) 1/3))
	5.6%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))

Compiler

Compiled 2609 to 2291 computations (12.2% saved)

regimes90.0ms (0.5%)

Counts

56 → 1

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	x
7.0ms	(-.f64 1 x)
6.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Accuracy	Segments	Branch
8.2%	1	`x`
8.2%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.2%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.2%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.2%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.2%	1	`(/.f64 (-.f64 1 x) 2)`
8.2%	1	`(-.f64 1 x)`

Compiler

Compiled 1420 to 1213 computations (14.6% saved)

regimes32.0ms (0.2%)

Counts

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
8.2%	1	`x`
8.2%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.2%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.2%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.2%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.2%	1	`(/.f64 (-.f64 1 x) 2)`
8.2%	1	`(-.f64 1 x)`

Compiler

Compiled 319 to 278 computations (12.9% saved)

regimes39.0ms (0.2%)

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 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))

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

Calls

7 calls:

11.0ms	x
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
4.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
4.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
4.0ms	(/.f64 (-.f64 1 x) 2)

Results

Accuracy	Segments	Branch
9.5%	3	`x`
6.6%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.2%	3	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.2%	3	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.2%	3	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.2%	3	`(/.f64 (-.f64 1 x) 2)`
8.2%	3	`(-.f64 1 x)`

Compiler

Compiled 126 to 110 computations (12.7% saved)

regimes3.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 48 to 44 computations (8.3% saved)

regimes4.0ms (0%)

Counts

2 → 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)))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.1%	1	`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
3.9%	1	`x`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

630×	`unsub-neg`
350×	`neg-mul-1`
242×	`distribute-lft-neg-in`
184×	`distribute-neg-out`
136×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	270
1	99	270
2	155	270
3	189	270
4	229	270
5	258	270
6	275	270
7	422	270
8	814	270
9	1094	270
10	1101	270
11	1143	270
12	1202	270
13	1263	270
14	1324	270
15	1366	270
16	1375	270
17	1387	270

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))))
(log.f64 (exp.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 1/2 (PI.f64)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.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 90 to 84 computations (6.7% saved)

soundness422.0ms (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	38	515
1	833	503
0	15	79
1	328	75
2	4296	75
0	15	79
1	328	75
2	4296	75

Stop Event

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

Compiler

Compiled 504 to 435 computations (13.7% saved)

end0.0ms (0%)

preprocess82.0ms (0.4%)

Compiler: Compiled 204 to 178 computations (12.7% saved)

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

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

analyze5.0ms (0%)

sample3.3s (17.2%)

preprocess51.0ms (0.3%)

simplify18.0ms (0.1%)

eval3.0ms (0%)

prune2.0ms (0%)

localize454.0ms (2.4%)

series40.0ms (0.2%)

rewrite105.0ms (0.5%)

simplify156.0ms (0.8%)

eval141.0ms (0.7%)

prune141.0ms (0.7%)

localize4.0s (20.5%)

series14.0ms (0.1%)

rewrite161.0ms (0.8%)

simplify245.0ms (1.3%)

eval448.0ms (2.3%)

prune210.0ms (1.1%)

localize2.7s (14.1%)

series18.0ms (0.1%)

rewrite126.0ms (0.7%)

simplify151.0ms (0.8%)

eval568.0ms (2.9%)

prune277.0ms (1.4%)

localize4.1s (21.3%)

series13.0ms (0.1%)

rewrite102.0ms (0.5%)

simplify197.0ms (1%)

eval643.0ms (3.3%)

prune182.0ms (0.9%)

regimes90.0ms (0.5%)

regimes32.0ms (0.2%)

regimes39.0ms (0.2%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify48.0ms (0.3%)

soundness422.0ms (2.2%)

end0.0ms (0%)

preprocess82.0ms (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