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)

sample3.7s (9.2%)

Results

0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
2.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
57.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
5.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
3.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
3.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
1.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	invalid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
31.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
2.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
61.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
4.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
22.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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2.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
2.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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7.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
2.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
2.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
3.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
2.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
2.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
2.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	invalid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
1.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
40.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
2.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
2.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
5.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
4.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
135.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
2.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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2.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
4.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
3.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
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1.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
3.0ms	1×	1024	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
2.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
3.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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2.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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2.0ms	1×	2048	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
1.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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2.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	invalid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
2.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
56.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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1.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
0.0ms	1×	512	valid
1.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
2.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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3.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	256	valid
3.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	256	valid
1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
1.0ms	1×	1024	valid
4.0ms	1×	1024	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
2.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	512	valid
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4.0ms	1×	1024	valid
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0.0ms	1×	512	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
1.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	256	valid
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2.0ms	1×	1024	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
0.0ms	1×	512	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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2.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid
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0.0ms	1×	512	valid
1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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1.0ms	1×	1024	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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4.0ms	1×	1024	valid
0.0ms	1×	1024	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid
4.0ms	1×	2048	valid
0.0ms	1×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
0.0ms	1×	512	valid
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0.0ms	1×	256	valid
1.0ms	1×	2048	valid
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0.0ms	1×	512	valid
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0.0ms	1×	256	valid
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0.0ms	1×	256	valid
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1.0ms	1×	2048	valid
0.0ms	1×	256	valid

Bogosity

preprocess1.0s (2.5%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-neg`
272×	`fma-define`
114×	`cancel-sign-sub-inv`
98×	`distribute-lft-neg-in`
88×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
253	1	(-0.015379511218250997)	-	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
0	0	-	-	`(PI.f64)`
0	0	-	-	`x`
0	0	-	-	`(/.f64 (PI.f64) 2)`
0	0	-	-	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
0	0	-	-	`(/.f64 (-.f64 1 x) 2)`
0	0	-	-	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
0	0	-	-	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
0	0	-	-	`(-.f64 1 x)`
0	0	-	-	`2`
0	0	-	-	`1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	188
1	72	180
2	185	164
3	333	152
4	515	144
5	718	144
6	905	144
7	1061	144
8	1143	144
9	1161	144
10	1162	144

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

Compiler

Compiled 118 to 99 computations (16.1% saved)

eval1.0ms (0%)

Compiler: Compiled 48 to 41 computations (14.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

localize310.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	8.9%	(-.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)

series8.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite260.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`log-prod`
781×	`log1p-expm1-u`
781×	`expm1-log1p-u`
722×	`fma-neg`
390×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	241	84
2	3471	84

Stop Event

1×	node limit

Counts

3 → 181

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

simplify140.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg`
692×	`add0`
672×	`unswap-sqr`
606×	`distribute-lft-neg-in`
596×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	9180
1	1225	8853
2	3992	8687

Stop Event

1×	node limit

Counts

209 → 260

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

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

eval145.0ms (0.4%)

Compiler: Compiled 5627 to 4826 computations (14.2% saved)

prune53.0ms (0.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	247	13	260
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	247	14	261

Accuracy

10.5%

Counts

261 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
▶	1.5%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
	7.5%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	7.5%	(/.f64 (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
▶	8.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.3%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64)))))))
▶	7.4%	(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)))))))))
	7.5%	(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))))
	7.4%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
▶	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64)))))

Compiler

Compiled 470 to 433 computations (7.9% saved)

localize17.2s (42.8%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.2%	(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
✓	99.2%	(expm1.f64 (*.f64 (PI.f64) 1/2))
✓	53.1%	(PI.f64)
✓	52.5%	(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)))))))))
✓	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	67.2%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
✓	53.1%	(PI.f64)
✓	52.4%	(fma.f64 (PI.f64) 1/2 (.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))))
✓	53.1%	(PI.f64)
✓	52.4%	(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64)))
✓	99.2%	(asin.f64 (sqrt.f64 1/2))
✓	53.1%	(PI.f64)
✓	100.0%	(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	100.0%	(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
✓	53.1%	(PI.f64)
✓	52.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))

Compiler

Compiled 352 to 294 computations (16.5% saved)

series303.0ms (0.8%)

Counts

17 → 108

Calls

27 calls:

Time	Variable		Point	Expression
141.0ms	x	@	0	(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)))))))))
106.0ms	x	@	inf	(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)))))))))
23.0ms	x	@	-inf	(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)))))))))
5.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
5.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)

rewrite358.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`add0`
296×	`log1p-expm1-u`
294×	`expm1-log1p-u`
283×	`add-exp-log`
283×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	384
1	734	328

Stop Event

1×	node limit

Counts

17 → 551

Calls

Call 1

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

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

simplify474.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-define`
897×	`add0`
728×	`associate-l`
722×	`associate-r`
540×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	881	23648
1	2954	22874

Stop Event

1×	node limit

Counts

659 → 512

Calls

Call 1

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

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

eval599.0ms (1.5%)

Compiler: Compiled 16891 to 14457 computations (14.4% saved)

prune155.0ms (0.4%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	657	15	672
Fresh	1	7	8
Picked	3	2	5
Done	0	1	1
Total	661	25	686

Accuracy

10.6%

Counts

686 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
▶	5.3%	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 6) 1/6) 3) 1/3)
	1.5%	(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1/3)
	1.5%	(pow.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3) 1/3)
	1.4%	(pow.f64 (pow.f64 (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) 3) 1/3)
	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)
	7.5%	(/.f64 (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	8.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
▶	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
▶	7.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.4%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))
	7.4%	(+.f64 (log.f64 (cbrt.f64 (/.f64 (exp.f64 (PI.f64)) (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	7.3%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64)))))))
	7.5%	(neg.f64 (log.f64 (exp.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
	7.5%	(log1p.f64 (expm1.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
▶	8.9%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	7.4%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))))
▶	7.5%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	7.5%	(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))))
	7.4%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	1.5%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

Compiler

Compiled 966 to 893 computations (7.6% saved)

localize6.7s (16.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	37.0%	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 6) 1/6) 3) 1/3)
✓	22.5%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 6) 1/6)
✓	8.9%	(fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
✓	100.0%	(/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
✓	100.0%	(exp.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	9.0%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
✓	98.5%	(log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	98.5%	(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	8.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
✓	98.5%	(expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
	98.4%	(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
	98.4%	(expm1.f64 (*.f64 (PI.f64) 1/2))
✓	9.0%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))

Compiler

Compiled 456 to 384 computations (15.8% saved)

series284.0ms (0.7%)

Counts

13 → 116

Calls

39 calls:

Time	Variable		Point	Expression
79.0ms	x	@	-inf	(log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
44.0ms	x	@	0	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
22.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 6) 1/6)
21.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
20.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))

rewrite223.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`associate-r`
264×	`log1p-expm1-u`
261×	`expm1-log1p-u`
245×	`add0`
235×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	620
1	890	452

Stop Event

1×	node limit

Counts

13 → 737

Calls

Call 1

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

Outputs
(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 0)
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.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)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(+.f64 0 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 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 x -1/2)))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (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 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.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)))) (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 (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 (fma.f64 1/2 (PI.f64) (neg.f64 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (.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)))) (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 (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 (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 x -1/2))))) 1))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 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 x -1/2)))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (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 (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 x -1/2))))) 1))) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1 (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 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 x -1/2)))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))
(+.f64 (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) 0)
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0))
(-.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 0)
(-.f64 0 (log.f64 (exp.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 1)
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 (PI.f64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (/.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (/.f64 (.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 1 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(.f64 (pow.f64 1 1/6) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(.f64 (pow.f64 1 1/3) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 3/2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 12)) 1/6) (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) 1/6))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3))))
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(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 (acos.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) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (PI.f64) 1/2)))) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(/.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (-.f64 0 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 (acos.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) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 (PI.f64) 1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3) 1) (+.f64 (.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 0) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(/.f64 (-.f64 (.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 1) (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))
(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)))))))
(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))))))
(log1p.f64 (expm1.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))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(fma.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (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))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 0)
(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))))))

simplify635.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-define`
764×	`+-commutative`
752×	`log-prod`
715×	`add0`
454×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	644	54434
1	2080	45757
2	7547	45751

Stop Event

1×	node limit

Counts

853 → 427

Calls

Call 1

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

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

eval343.0ms (0.9%)

Compiler: Compiled 14699 to 12760 computations (13.2% saved)

prune112.0ms (0.3%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	535	9	544
Fresh	3	14	17
Picked	3	2	5
Done	0	3	3
Total	541	28	569

Accuracy

10.6%

Counts

569 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.5%	(fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (/.f64 4 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
	7.3%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	5.3%	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 6) 1/6) 3) 1/3)
	1.5%	(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1/3)
	1.5%	(pow.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3) 1/3)
	1.4%	(pow.f64 (pow.f64 (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) 3) 1/3)
	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)
	7.5%	(/.f64 (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	8.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
	8.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))
✓	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	3.9%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
	7.3%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64)))))))
	7.5%	(neg.f64 (log.f64 (exp.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
▶	7.5%	(log1p.f64 (expm1.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	7.4%	(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (PI.f64) 1/2))) 3)) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
▶	8.9%	(log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
▶	7.5%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
✓	7.5%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	7.5%	(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))))
▶	7.4%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	8.8%	(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 x -1/2)))))))))
	7.4%	(log.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 3) (pow.f64 (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	1.5%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

Compiler

Compiled 1025 to 946 computations (7.7% saved)

localize3.1s (7.7%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	98.5%	(log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
✓	98.5%	(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
	98.5%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	9.0%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	9.0%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	8.9%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
✓	100.0%	(expm1.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	8.9%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
✓	100.0%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
✓	100.0%	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
	98.5%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
✓	98.5%	(+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	98.5%	(expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
✓	9.0%	(log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))

Compiler

Compiled 443 to 369 computations (16.7% saved)

series105.0ms (0.3%)

Counts

13 → 132

Calls

39 calls:

Time	Variable		Point	Expression
65.0ms	x	@	0	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
16.0ms	x	@	0	(log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
1.0ms	x	@	0	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
1.0ms	x	@	0	(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
1.0ms	x	@	-inf	(expm1.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))

rewrite190.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`add0`
274×	`log1p-expm1-u`
270×	`expm1-log1p-u`
263×	`add-exp-log`
262×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	622
1	932	362

Stop Event

1×	node limit

Counts

13 → 677

Calls

Call 1

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

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

simplify553.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

942×	`+-commutative`
932×	`fma-define`
763×	`add0`
734×	`log-prod`
436×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	691	50995
1	2239	45794
2	7798	45495

Stop Event

1×	node limit

Counts

809 → 401

Calls

Call 1

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

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

eval502.0ms (1.2%)

Compiler: Compiled 15842 to 13896 computations (12.3% saved)

prune171.0ms (0.4%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	585	7	592
Fresh	4	14	18
Picked	4	1	5
Done	0	5	5
Total	593	27	620

Accuracy

10.6%

Counts

620 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	5.3%	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 6) 1/6) 3) 1/3)
	1.5%	(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3) 1/3)
	1.5%	(pow.f64 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 3) 1/3)
	1.4%	(pow.f64 (pow.f64 (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))) 3) 1/3)
	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 3)
	7.5%	(/.f64 (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
	7.5%	(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (/.f64 4 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64))))))
✓	8.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
	8.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))
✓	5.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.3%	(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))
	3.9%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.3%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64)))))))
	7.5%	(neg.f64 (log.f64 (exp.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 (PI.f64) 1/2)))))
✓	8.9%	(log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
	8.8%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)))))
✓	7.5%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	7.5%	(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))))
	7.5%	(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 2) 4) (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
	8.8%	(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 x -1/2)))))))))
	7.4%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	5.3%	(log.f64 (exp.f64 (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) 2))))
	7.5%	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

Compiler

Compiled 1532 to 1366 computations (10.8% saved)

regimes64.0ms (0.2%)

Counts

45 → 1

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))

Calls

7 calls:

27.0ms	x
10.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
8.9%	1	`x`
8.9%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.9%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.9%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.9%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.9%	1	`(/.f64 (-.f64 1 x) 2)`
8.9%	1	`(-.f64 1 x)`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes34.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	x
4.0ms	(-.f64 1 x)
4.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
8.9%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.9%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.9%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.9%	1	`(/.f64 (-.f64 1 x) 2)`
8.9%	1	`(-.f64 1 x)`
8.9%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.9%	1	`x`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes20.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	x
3.0ms	(/.f64 (-.f64 1 x) 2)
2.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
8.8%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
8.8%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
8.8%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
8.8%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
8.8%	1	`(/.f64 (-.f64 1 x) 2)`
8.8%	1	`(-.f64 1 x)`
8.8%	1	`x`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes84.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

60.0ms	(/.f64 (-.f64 1 x) 2)
12.0ms	x
2.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
7.5%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.5%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.5%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.5%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.5%	1	`(/.f64 (-.f64 1 x) 2)`
7.5%	1	`(-.f64 1 x)`
10.3%	3	`x`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes13.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
7.5%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.5%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.5%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.5%	1	`(/.f64 (-.f64 1 x) 2)`
7.5%	1	`(-.f64 1 x)`
7.5%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 49 to 43 computations (12.2% saved)

regimes7.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
5.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
5.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% 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) 1/2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))

Outputs
(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
3.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch110.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
109.0ms	6.613497237912336e-304	2.4732230321591385e-297

Results

95.0ms	128×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid

Compiler

Compiled 252 to 241 computations (4.4% saved)

bsearch174.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
174.0ms	6.613497237912336e-304	2.4732230321591385e-297

Results

160.0ms	128×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid
1.0ms	1×	2048	valid

Compiler

Compiled 216 to 214 computations (0.9% saved)

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

406×	`unsub-neg`
126×	`+-commutative`
112×	`neg-mul-1`
108×	`add0`
88×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	468
1	162	468
2	300	468
3	384	468
4	504	468
5	780	468
6	818	468
7	837	468
8	842	468

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x 3981157755339891/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(if (<=.f64 x 3981157755339891/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (+.f64 (.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))

Outputs
(log.f64 (/.f64 (exp.f64 (.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -1)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (+.f64 1 (-.f64 -1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x 3981157755339891/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(if (<=.f64 x 3981157755339891/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (+.f64 (.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))

Compiler

Compiled 149 to 137 computations (8.1% saved)

soundness1.9s (4.7%)

Rules

1088×	`log-prod`
1088×	`log-prod`
1088×	`log-prod`
1088×	`log-prod`
882×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	241	84
2	3471	84
0	44	384
1	734	328
0	44	384
1	734	328
0	51	620
1	890	452
0	16	88
1	241	84
2	3471	84
0	16	88
1	241	84
2	3471	84
0	51	620
1	890	452
0	16	88
1	241	84
2	3471	84
0	406	9180
1	1225	8853
2	3992	8687

Stop Event

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

Compiler

Compiled 1355 to 1154 computations (14.8% saved)

end0.0ms (0%)

preprocess112.0ms (0.3%)

Compiler: Compiled 318 to 276 computations (13.2% saved)

Iter	Nodes	Cost
0	62	468
1	162	468
2	300	468
3	384	468
4	504	468
5	780	468
6	818	468
7	837	468
8	842	468

Iter	Nodes	Cost
0	62	468
1	162	468
2	300	468
3	384	468
4	504	468
5	780	468
6	818	468
7	837	468
8	842	468

analyze5.0ms (0%)

sample3.7s (9.2%)

preprocess1.0s (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize310.0ms (0.8%)

series8.0ms (0%)

rewrite260.0ms (0.6%)

simplify140.0ms (0.3%)

eval145.0ms (0.4%)

prune53.0ms (0.1%)

localize17.2s (42.8%)

series303.0ms (0.8%)

rewrite358.0ms (0.9%)

simplify474.0ms (1.2%)

eval599.0ms (1.5%)

prune155.0ms (0.4%)

localize6.7s (16.6%)

series284.0ms (0.7%)

rewrite223.0ms (0.6%)

simplify635.0ms (1.6%)

eval343.0ms (0.9%)

prune112.0ms (0.3%)

localize3.1s (7.7%)

series105.0ms (0.3%)

rewrite190.0ms (0.5%)

simplify553.0ms (1.4%)

eval502.0ms (1.2%)

prune171.0ms (0.4%)

regimes64.0ms (0.2%)

regimes34.0ms (0.1%)

regimes20.0ms (0%)

regimes84.0ms (0.2%)

regimes13.0ms (0%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

bsearch110.0ms (0.3%)

bsearch174.0ms (0.4%)

simplify34.0ms (0.1%)

soundness1.9s (4.7%)

end0.0ms (0%)

preprocess112.0ms (0.3%)

Profiling

Iter	Nodes	Cost
0	62	468
1	162	468
2	300	468
3	384	468
4	504	468
5	780	468
6	818	468
7	837	468
8	842	468