Details

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)

sample3.1s (14.4%)

Results

1.9s	4156×	body	1024	valid
603.0ms	2130×	body	512	valid
321.0ms	415×	body	2048	valid
239.0ms	1555×	body	256	valid
1.0ms	7×	body	256	invalid

Bogosity

preprocess634.0ms (2.9%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify312.0ms (1.4%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 26 to 23 computations (11.5% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Accurracy

6.8%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (/.f64 (PI.f64) 2))

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize26.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 1/2 (/.f64 x 2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
✓	90.5%	(fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (/.f64 (PI.f64) 2))

Compiler

Compiled 42 to 34 computations (19% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite3.4s (15.6%)

Algorithm

1×	batch-egg-rewrite

Counts

3 → 131

Calls

Call 1

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

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

Outputs

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

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

((sqrt.f64 (-.f64 1/2 (/.f64 x 2))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/3)) (+.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2)) (+.f64 (*.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (hypot.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 x -2))) (hypot.f64 (sqrt.f64 (/.f64 x -2)) (sqrt.f64 1/2)) (fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (fma.f64 x -1/2 1/2) 1/2) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (*.f64 1/3 1/2)) (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 1/3 3)) (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 3 1/3)) (pow.f64 (fma.f64 x -1/2 1/2) (*.f64 3/2 1/3)) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) (*.f64 1/3 1)) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (/.f64 1/3 2)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1 2)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2 1)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 (pow.f64 x 2) 4))) (sqrt.f64 (fma.f64 1/2 x 1/2))) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1/8 (/.f64 (pow.f64 x 3) 8))) (sqrt.f64 (+.f64 1/4 (/.f64 (+.f64 x 1) (/.f64 4 x))))) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/8 (/.f64 (pow.f64 x 3) 8)) (+.f64 1/4 (/.f64 (+.f64 x 1) (/.f64 4 x))))) (+.f64 1/4 (/.f64 (+.f64 x 1) (/.f64 4 x)))) (/.f64 (sqrt.f64 (-.f64 4 (*.f64 2 (+.f64 x x)))) (sqrt.f64 8)) (/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (-.f64 1/8 (/.f64 (pow.f64 x 3) 8)))) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 x 1) (/.f64 4 x))))) (/.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1) (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) 2) (/.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 2) 2) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1) (*.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) (+.f64 1/3 1/2)) 1/2)) (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2)) (*.f64 (pow.f64 (-.f64 1/8 (/.f64 (pow.f64 x 3) 8)) 1/2) (pow.f64 (pow.f64 (+.f64 1/4 (/.f64 (+.f64 x 1) (/.f64 4 x))) -1) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2) (pow.f64 (fma.f64 x -1/2 1/2) 1/8)) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 x) 1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))

simplify1.7s (8.1%)

Algorithm

1×

egglog

Counts

167 → 186

Calls

Call 1

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

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

eval82.0ms (0.4%)

Compiler: Compiled 3582 to 3011 computations (15.9% saved)

prune51.0ms (0.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	176	10	186
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	10	187

Accurracy

10.1%

Counts

187 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.2%	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))
	6.9%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
	6.8%	(fma.f64 (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
	6.5%	(fma.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (.f64 1/2 (PI.f64)))
	6.7%	(fma.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 1/2 (PI.f64)))
	6.7%	(fma.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) (/.f64 (PI.f64) 2))
	6.8%	(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))) 3)
	6.8%	(/.f64 (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 1/2 (PI.f64)))))
	6.7%	(.f64 (/.f64 (PI.f64) 2) (+.f64 1 (/.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (PI.f64) 2))))
	6.8%	(.f64 (+.f64 1 (/.f64 (/.f64 (PI.f64) 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)))))

Compiler

Compiled 438 to 400 computations (8.7% saved)

localize44.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (fma.f64 x -1/2 1/2))
✓	99.9%	(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/3 1)) 3)
✓	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	90.5%	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))

Compiler

Compiled 69 to 60 computations (13% saved)

series8.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))
2.0ms	x	@	inf	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))
2.0ms	x	@	-inf	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))
0.0ms	x	@	-inf	(sqrt.f64 (fma.f64 x -1/2 1/2))
0.0ms	x	@	inf	(sqrt.f64 (fma.f64 x -1/2 1/2))

rewrite2.2s (10.4%)

Algorithm

1×	batch-egg-rewrite

Counts

4 → 181

Calls

Call 1

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

Outputs
((fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64))) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 1/2) (.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 1/2)) (+.f64 (.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 (/.f64 (/.f64 (PI.f64) 2) -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) (.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)))) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (/.f64 (/.f64 (/.f64 (PI.f64) 2) -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 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 3) (pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 3) 1/3) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 1) (/.f64 (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (pow.f64 (/.f64 (PI.f64) 2) 3)) (+.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (/.f64 (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (pow.f64 (/.f64 (PI.f64) 2) 3)) (+.f64 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (/.f64 (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 1/4 (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (neg.f64 (/.f64 (PI.f64) 2)))) (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (pow.f64 (/.f64 (PI.f64) 2) 3))) (neg.f64 (+.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (pow.f64 (/.f64 (PI.f64) 2) 3)) (+.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (.f64 (+.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (/.f64 (.f64 3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 3) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (pow.f64 (/.f64 (PI.f64) 2) 3)) 1) (+.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 2)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 2) (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)))) (.f64 1 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) (.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 1) (.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 (/.f64 (/.f64 (/.f64 (PI.f64) 2) -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 1/3 (.f64 3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)))) (.f64 (/.f64 (PI.f64) 2) (+.f64 1 (/.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 3 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 1/3) (.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (PI.f64) 2) -2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (pow.f64 (/.f64 (PI.f64) 2) 3)) (/.f64 1 (+.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) (fma.f64 (/.f64 (PI.f64) 2) 1 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 1/3 (.f64 3 (/.f64 (PI.f64) 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 1 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/4)) (sqrt.f64 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (cbrt.f64 (/.f64 (PI.f64) 2)) (pow.f64 (/.f64 (PI.f64) 2) 2/3) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 (PI.f64) 1/4)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (pow.f64 (/.f64 (PI.f64) 2) 2/3) (cbrt.f64 (/.f64 (PI.f64) 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (cbrt.f64 (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2/3) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2/3) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (sqrt.f64 (/.f64 (PI.f64) 2)) (sqrt.f64 (/.f64 (PI.f64) 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (/.f64 (PI.f64) (cbrt.f64 2)) (cbrt.f64 1/4) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1 (/.f64 (PI.f64) 2)) (fma.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) -2) (/.f64 (PI.f64) 2)) (fma.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (/.f64 (PI.f64) 2)) (fma.f64 1 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (PI.f64) 2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2)) (fma.f64 (sqrt.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)))) -2) (/.f64 (PI.f64) 2)) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 -2)) (cbrt.f64 4) (/.f64 (PI.f64) 2)) (fma.f64 1/2 (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) -2 (/.f64 (PI.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))) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2)) (+.f64 (.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fabs.f64 (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) (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 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 9) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 3/2 2)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 2 3/2)) (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1) (log.f64 (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))) 2) 1/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1/3 2/3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2/3 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 2)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1)) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) 3/2) (/.f64 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.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 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) (.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3)) (.f64 1/3 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) (.f64 1/27 (pow.f64 (.f64 3 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (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)) (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (exp.f64 (.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1/3)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (exp.f64 (.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) 1/3)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))
((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2)) (+.f64 (.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fabs.f64 (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) (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 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 9) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 3/2 2)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 2 3/2)) (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 1) (log.f64 (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))) 2) 1/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1/3 2/3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2/3 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 2)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1)) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) 3/2) (/.f64 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (.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 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) (.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3)) (.f64 1/3 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) (.f64 1/27 (pow.f64 (.f64 3 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (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)) (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (exp.f64 (.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1/3)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (exp.f64 (.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) 1/3)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))
((sqrt.f64 (fma.f64 x -1/2 1/2)) (+.f64 (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2) (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2)) (+.f64 (.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (hypot.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 x -1/2))) (hypot.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 1/2)) (fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (pow.f64 (fma.f64 x -1/2 1/2) 1/2) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1) (pow.f64 (fma.f64 x -1/2 1/2) (.f64 1/4 2)) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (.f64 1/3 1/2)) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (/.f64 1/3 2)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) 1/4) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1 2)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2) (/.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))) 3) (.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/3 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2)))) (.f64 1/3 (fabs.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))))) (.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))) 1/3) (.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2) (pow.f64 (fma.f64 x -1/2 1/2) 1/8)) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) (+.f64 1/3 1/2)) 1/2)) (.f64 (sqrt.f64 1/3) (pow.f64 (.f64 3 (fma.f64 x -1/2 1/2)) 1/2)) (.f64 (sqrt.f64 (.f64 x -1/2)) (pow.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) -1/2)) 1/2)) (.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2)) (.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) -1/2)))) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) (+.f64 1/3 1/2)))) (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 3 (fma.f64 x -1/2 1/2)))) (.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))) (.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) (pow.f64 (fma.f64 x -1/2 1/2) 1/8)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (fma.f64 x -1/2 1/2)) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (exp.f64 (.f64 (log.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/3)) (exp.f64 (.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) (sqrt.f64 (fma.f64 -1/2 x 1/2)))

simplify1.8s (8.4%)

Algorithm

1×

egglog

Counts

217 → 180

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
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(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1/3 2/3))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2/3 1/3))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 2))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) 3/2)
(/.f64 (*.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(*.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 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3))
(.f64 1/3 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3)
(.f64 1/27 (pow.f64 (.f64 3 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(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))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) 1/3))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/3 1)) 3)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2))
(+.f64 (.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fabs.f64 (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)
(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 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 9)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 3/2 2))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 3/2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (exp.f64 1) (log.f64 (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))) 2) 1/2)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1/3 2/3))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2/3 1/3))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 2))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) 3/2)
(/.f64 (*.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(*.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 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3))
(.f64 1/3 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3)
(.f64 1/27 (pow.f64 (.f64 3 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(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))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) 1/3))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(+.f64 (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2) (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(+.f64 (.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(hypot.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 x -1/2)))
(hypot.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (fma.f64 x -1/2 1/2) (*.f64 1/4 2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (*.f64 1/3 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (/.f64 1/3 2))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) 1/4)
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1 2))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2 1))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(/.f64 (sqrt.f64 (*.f64 9 (fma.f64 x -1/2 1/2))) 3)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(.f64 1/3 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))))
(.f64 1/3 (fabs.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2)))))
(.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))) 1/3)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) (+.f64 1/3 1/2)) 1/2))
(.f64 (sqrt.f64 1/3) (pow.f64 (.f64 3 (fma.f64 x -1/2 1/2)) 1/2))
(.f64 (sqrt.f64 (.f64 x -1/2)) (pow.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) -1/2)) 1/2))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2))
(.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) (+.f64 1/3 1/2))))
(.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 3 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))

Outputs
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/3) 2))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
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(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
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(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2/3) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1/3)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 8))
(.f64 (.f64 3 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(.f64 1/27 (pow.f64 (.f64 3 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(.f64 1/27 (.f64 27 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(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))
(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 (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)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (.f64 (.f64 (log.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)))
(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)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(+.f64 (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2) (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(+.f64 (.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(hypot.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 x -1/2)))
(NAN.f64)
(hypot.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 1/2))
(NAN.f64)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (fma.f64 x -1/2 1/2) (*.f64 1/4 2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (*.f64 1/3 1/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3) (/.f64 1/3 2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) 1/4)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1 2))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 2 1))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(/.f64 (sqrt.f64 (*.f64 9 (fma.f64 x -1/2 1/2))) 3)
(.f64 1/3 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(.f64 1/3 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))))
(.f64 1/3 (fabs.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2)))))
(.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))) 1/3)
(.f64 1/3 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4)) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) (+.f64 1/3 1/2)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (fma.f64 x -1/2 1/2) 5/12))
(.f64 (sqrt.f64 1/3) (pow.f64 (.f64 3 (fma.f64 x -1/2 1/2)) 1/2))
(sqrt.f64 (.f64 1/3 (.f64 3 (fma.f64 x -1/2 1/2))))
(.f64 (sqrt.f64 (.f64 x -1/2)) (pow.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) -1/2)) 1/2))
(NAN.f64)
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4)) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) -1/2))))
(NAN.f64)
(*.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) (+.f64 1/3 1/2))))
(*.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (fma.f64 x -1/2 1/2) 5/12))
(.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 3 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (.f64 1/3 (.f64 3 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4)) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4)) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 3/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1/3))
(exp.f64 (*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(sqrt.f64 (fma.f64 x -1/2 1/2))

eval102.0ms (0.5%)

Compiler: Compiled 4190 to 3664 computations (12.6% saved)

prune50.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	176	4	180
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	181	9	190

Accurracy

10.1%

Counts

190 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.2%	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))
▶	6.9%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
	6.8%	(fma.f64 (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
	6.5%	(fma.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (.f64 1/2 (PI.f64)))
	6.7%	(fma.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 1/2 (PI.f64)))
	6.7%	(fma.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) -2) (/.f64 (PI.f64) 2))
	6.7%	(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
	6.7%	(fma.f64 1/3 (.f64 3 (/.f64 (PI.f64) 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
	6.8%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 3)

Compiler

Compiled 326 to 301 computations (7.7% saved)

localize30.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (fma.f64 x -1/2 1/2))
	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	11.6%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))

Compiler

Compiled 53 to 45 computations (15.1% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
0.0ms	x	@	-inf	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
0.0ms	x	@	inf	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))

Time

Variable

Point

Expression

3.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite2.2s (10.2%)

Algorithm

1×	batch-egg-rewrite

Counts

1 → 52

Calls

Call 1

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

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

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

simplify733.0ms (3.4%)

Algorithm

1×

egglog

Counts

64 → 58

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))
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(fma.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (/.f64 (PI.f64) 2))
(fma.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3)) (.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 4) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (PI.f64) 2))
(fma.f64 (cbrt.f64 -2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 4)) (.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -2 (cbrt.f64 (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)))) 2) (/.f64 (PI.f64) 2))
(fma.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -8)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (PI.f64) 2))
(fma.f64 (.f64 (cbrt.f64 4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3)) (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (.f64 4 (pow.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 -2 (pow.f64 (pow.f64 (asin.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/2)) 1/3) (+.f64 2 1))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (*.f64 (PI.f64) 1/2))

eval82.0ms (0.4%)

Compiler: Compiled 3712 to 3225 computations (13.1% saved)

prune52.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	160	6	166
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	166	9	175

Accurracy

10.2%

Counts

175 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.2%	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))
▶	6.8%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -2))
	6.7%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
	6.8%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 (asin.f64 (/.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))) 3)) -2))
	6.7%	(fma.f64 (.f64 (cbrt.f64 4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3)) (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -8)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
	6.7%	(fma.f64 1/3 (.f64 3 (/.f64 (PI.f64) 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
	1.4%	(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)))) 2))

Compiler

Compiled 340 to 317 computations (6.8% saved)

localize44.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
✓	98.5%	(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	11.6%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -2))

Compiler

Compiled 75 to 65 computations (13.3% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite3.0s (14.1%)

Algorithm

1×	batch-egg-rewrite

Counts

3 → 156

Calls

Call 1

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

Inputs

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

(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)

(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

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

Outputs

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((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2)) (+.f64 (*.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fabs.f64 (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) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (*.f64 1/3 2)) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 6 1/3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 3 1/3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/3 3)) (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 6) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) (*.f64 1/3 1)) (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (+.f64 1/3 1/3)) (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 3 3)) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (*.f64 2 1/3)) (pow.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1 2)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 2 1)) (pow.f64 (exp.f64 1) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (exp.f64 (*.f64 (sqrt.f64 2) (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (sqrt.f64 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (pow.f64 (exp.f64 (*.f64 (cbrt.f64 2) (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 4)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 8) 8) (/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 8))) (/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) (sqrt.f64 2))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 4) (/.f64 (*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 4) (/.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (sqrt.f64 8))) (sqrt.f64 (sqrt.f64 2))) (/.f64 1 (/.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 2 (/.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))) (cbrt.f64 2)) (cbrt.f64 2)) (/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 4)) (cbrt.f64 2)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 4)) (cbrt.f64 4)) (/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1) 2) (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 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 (sqrt.f64 (sqrt.f64 (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)))) 3/2)) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1/3 1/2))) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 1/3 1/2)) (cbrt.f64 (sqrt.f64 (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)))) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 6))))

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

simplify1.5s (7%)

Algorithm

1×

egglog

Counts

168 → 206

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -2))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (/.f64 (PI.f64) 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 (PI.f64) 2))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (PI.f64) 2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))
(+.f64 (.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 1/2) (.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 1/2))
(.f64 2 (.f64 1/2 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 2) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (/.f64 (PI.f64) 2) -2))))
(.f64 (/.f64 (PI.f64) 2) (+.f64 1 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) (.f64 -2 2)))))
(+.f64 (.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) (.f64 1/2 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))))
(.f64 2 (.f64 1/2 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (/.f64 (PI.f64) 2) -2)) (/.f64 (PI.f64) 2)))
(.f64 (/.f64 (PI.f64) 2) (+.f64 1 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) (.f64 -2 2)))))
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 3)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 3) 1/3)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))
(pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (.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) 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (.f64 (.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))) (neg.f64 (/.f64 (PI.f64) 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (neg.f64 (.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (sqrt.f64 2))) (.f64 2 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 2))))) (neg.f64 (sqrt.f64 8)))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (sqrt.f64 2)) (/.f64 (*.f64 2 (PI.f64)) (neg.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 8)))
(/.f64 (+.f64 (.f64 (.f64 2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (sqrt.f64 2) (PI.f64))) (sqrt.f64 2)) (/.f64 (sqrt.f64 8) (PI.f64)))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (sqrt.f64 2) (PI.f64)) (sqrt.f64 2)) (/.f64 (sqrt.f64 8) (PI.f64)))
(/.f64 (+.f64 (.f64 (.f64 2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 2)) (/.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 8))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 2) (/.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 8))
(/.f64 (+.f64 (.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 2))) 2) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (neg.f64 (sqrt.f64 8)))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (sqrt.f64 2)) (/.f64 (*.f64 2 (PI.f64)) (neg.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 8)))
(/.f64 (+.f64 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (/.f64 (sqrt.f64 8) (PI.f64)))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (sqrt.f64 2) (PI.f64)) (sqrt.f64 2)) (/.f64 (sqrt.f64 8) (PI.f64)))
(/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (.f64 2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (sqrt.f64 8))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 2) (/.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 8))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8))) (neg.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (.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) 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (.f64 (.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))) (neg.f64 (/.f64 (PI.f64) 2))))))
(/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 8) 8)
(/.f64 (*.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2)) 8) 8)
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (.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) 2))))) (.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (.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) 2)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (.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) 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (.f64 (.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))) (neg.f64 (/.f64 (PI.f64) 2))))))
(/.f64 (/.f64 (+.f64 (PI.f64) (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (neg.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (fma.f64 (PI.f64) 1/2 (*.f64 -2 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (/.f64 (+.f64 (PI.f64) (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (.f64 2 (PI.f64))) 4)
(/.f64 (.f64 (+.f64 (PI.f64) (.f64 2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) 4)
(/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 2 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 4)
(/.f64 (.f64 (+.f64 (PI.f64) (.f64 2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) 4)
(/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)) 4) 4)
(/.f64 (*.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2)) 4) 4)
(/.f64 (.f64 (+.f64 (PI.f64) (.f64 2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) 4)
(/.f64 (neg.f64 (+.f64 (PI.f64) (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) -2)
(neg.f64 (/.f64 (+.f64 (PI.f64) (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -2))
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(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 3 1/6))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2))
(exp.f64 (log.f64 (sqrt.f64 (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) (/.f64 1/3 2))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 3 1/6))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 2 1))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 1 2))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2)
(sqrt.f64 (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))) 2) 1/4)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 2 1/4))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)
(pow.f64 (exp.f64 1/2) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (sqrt.f64 (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)))) 1)
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8) 8)
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (/.f64 (.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 2) (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 2) (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4) 4)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) 4)
(/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (/.f64 4 2))
(/.f64 (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2)
(/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) -2)
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (sqrt.f64 8))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (sqrt.f64 (sqrt.f64 8))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 1 (/.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (/.f64 2 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 2 (/.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (/.f64 2 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 2))
(sqrt.f64 (*.f64 (/.f64 2 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 (*.f64 (/.f64 2 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 2)) (sqrt.f64 2))
(*.f64 (/.f64 2 2) (sqrt.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)))) 1)
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(/.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)
(*.f64 (/.f64 2 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) 2)
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) 2)
(*.f64 (/.f64 2 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.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 (exp.f64 (log.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (exp.f64 (log.f64 (cbrt.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 (exp.f64 (log.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (exp.f64 (log.f64 (sqrt.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 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/8) (sqrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (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))) (+.f64 1/3 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (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))) 5/6)))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/8))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/8) (sqrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)))
(.f64 (.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/2)
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 1/2 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))

eval150.0ms (0.7%)

Compiler: Compiled 5643 to 5029 computations (10.9% saved)

prune84.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	246	3	249
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	248	10	258

Accurracy

10.2%

Counts

258 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.2%	(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))
✓	6.8%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -2))
	6.7%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 (/.f64 (/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 8))) -2))
	6.8%	(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 (asin.f64 (/.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))) 3)) -2))
	6.7%	(fma.f64 (.f64 (cbrt.f64 4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3)) (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -8)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (.f64 (PI.f64) 1/2))
	6.7%	(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
	6.7%	(fma.f64 1/3 (.f64 3 (/.f64 (PI.f64) 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
	6.8%	(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (sqrt.f64 2) (PI.f64)) (sqrt.f64 2)) (/.f64 (sqrt.f64 8) (PI.f64)))
	6.8%	(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 2) (/.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 8))

Compiler

Compiled 206 to 193 computations (6.3% saved)

regimes60.0ms (0.3%)

Accuracy

Total -4.4b remaining (-7.5%)

Threshold costs -4.4b (-7.5%)

Counts

25 → 1

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2)))) 2))
(.f64 (+.f64 1 (/.f64 (/.f64 (PI.f64) 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)))))
(.f64 (/.f64 (PI.f64) 2) (+.f64 1 (/.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (.f64 -8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 1/2 (PI.f64)))))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 2) (/.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 8))
(/.f64 (fma.f64 (.f64 2 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 (sqrt.f64 2) (PI.f64)) (sqrt.f64 2)) (/.f64 (sqrt.f64 8) (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (/.f64 (PI.f64) 2))) 3)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2 (/.f64 (PI.f64) 2))) 3)
(fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (/.f64 (PI.f64) 2))
(fma.f64 -2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) (/.f64 (PI.f64) 2))
(fma.f64 1/3 (.f64 3 (/.f64 (PI.f64) 2)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) -2) (/.f64 (PI.f64) 2))
(fma.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -8)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (.f64 (cbrt.f64 4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3)) (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (.f64 1/2 (PI.f64)))
(fma.f64 (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 (asin.f64 (/.f64 (sqrt.f64 (.f64 9 (fma.f64 x -1/2 1/2))) 3)) -2))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2/3) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -2))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (.f64 (/.f64 (/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 8))) -2))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) -2))
(fma.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/3 1)) 3) -2 (.f64 1/2 (PI.f64)))

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

Calls

7 calls:

15.0ms	x
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
4.0ms	(/.f64 (-.f64 1 x) 2)

Results

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

Compiler

Compiled 541 to 471 computations (12.9% saved)

simplify1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 18 to 17 computations (5.6% saved)

soundness0.0ms (0%)

end21.0ms (0.1%)

Compiler: Compiled 18 to 17 computations (5.6% saved)

Details

analyze5.0ms (0%)

sample3.1s (14.4%)

preprocess634.0ms (2.9%)

simplify312.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize26.0ms (0.1%)

series3.0ms (0%)

rewrite3.4s (15.6%)

simplify1.7s (8.1%)

eval82.0ms (0.4%)

prune51.0ms (0.2%)

localize44.0ms (0.2%)

series8.0ms (0%)

rewrite2.2s (10.4%)

simplify1.8s (8.4%)

eval102.0ms (0.5%)

prune50.0ms (0.2%)

localize30.0ms (0.1%)

series4.0ms (0%)

rewrite2.2s (10.2%)

simplify733.0ms (3.4%)

eval82.0ms (0.4%)

prune52.0ms (0.2%)

localize44.0ms (0.2%)

series3.0ms (0%)

rewrite3.0s (14.1%)

simplify1.5s (7%)

eval150.0ms (0.7%)

prune84.0ms (0.4%)

regimes60.0ms (0.3%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end21.0ms (0.1%)

Profiling