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)

sample4.4s (26.6%)

Results

2.9s	4200×	body	1024	valid
647.0ms	2052×	body	512	valid
435.0ms	421×	body	2048	valid
368.0ms	1583×	body	256	valid
1.0ms	5×	body	256	invalid

Bogosity

preprocess30.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

204×	`fma-def`
74×	`associate-+l-`
74×	`+-commutative`
72×	`associate--r+`
62×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

204×	`fma-def`
74×	`associate-+l-`
74×	`+-commutative`
72×	`associate--r+`
62×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

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

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

eval2.0ms (0%)

Compiler: Compiled 98 to 83 computations (15.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	7	2	9

Error

94.22%

Counts

9 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	94.22%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

localize67.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	1.52%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	10.86%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 51 to 42 computations (17.6% saved)

series5.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`distribute-rgt-in`
810×	`distribute-lft-in`
740×	`associate-/l*`
656×	`associate-/r*`
380×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	327	75
2	4243	75

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (+.f64 (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (+.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 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Outputs

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simplify461.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-*r/`
1238×	`associate-+r+`
1046×	`associate-+l+`
998×	`+-commutative`
782×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	17422
1	1335	14570
2	5633	14306

Stop Event

1×	node limit

Counts

220 → 295

Calls

Call 1

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

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

eval371.0ms (2.2%)

Compiler: Compiled 10542 to 9219 computations (12.5% saved)

prune121.0ms (0.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	275	20	295
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	275	21	296

Error

90.81%

Counts

296 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	94.33%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	99.11%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
	94.23%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	94.22%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 6)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
	94.24%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	94.24%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
	94.23%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	94.23%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))
	94.22%	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
▶	92.63%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	93.92%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	94.22%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	95.96%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	94.24%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	94.09%	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
▶	94.3%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	94.09%	(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0))))
	94.24%	(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	94.22%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
▶	94.22%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	99.11%	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))

Compiler

Compiled 1356 to 1231 computations (9.2% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	0.04%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	0.04%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
✓	10.86%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))

Compiler

Compiled 73 to 59 computations (19.2% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite174.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`distribute-lft-in`
674×	`associate-/l*`
616×	`associate-/r*`
382×	`add-sqr-sqrt`
370×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	388	96
2	4925	96

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (.f64 x (.f64 1/4 x)) (+.f64 (.f64 1/4 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))

simplify191.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1094×	`associate-r`
848×	`associate-l`
688×	`+-commutative`
566×	`*-commutative`
432×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	25253
1	2008	21627

Stop Event

1×	node limit

Counts

321 → 408

Calls

Call 1

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

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 -1/32 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(fma.f64 -1/32 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) (.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)))
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(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(fabs.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 (.f64 x (.f64 1/4 x)) (+.f64 (.f64 1/4 x) 1/4))))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (fma.f64 x (.f64 x 1/4) (fma.f64 1/4 x 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (+.f64 1/4 (.f64 x (fma.f64 1/4 x 1/4)))))
(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.56%	(asin.f64 (sqrt.f64 1/2))

Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`add-sqr-sqrt`
924×	`*-un-lft-identity`
884×	`pow1`
864×	`add-cube-cbrt`
858×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	104	9
2	1152	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(asin.f64 (sqrt.f64 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (acos.f64 (sqrt.f64 1/2))) (*.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (asin.f64 (sqrt.f64 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 1/2)) (acos.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 1/2))))))))

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-lft-in`
1058×	`fma-def`
930×	`distribute-rgt-in`
700×	`associate-r`
568×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	473
1	141	373
2	545	373
3	2412	333
4	7042	333

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

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

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

localize70.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
✓	0.02%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
✓	1.52%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	10.86%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

Compiler

Compiled 74 to 62 computations (16.2% saved)

series116.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
62.0ms	x	@	-inf	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
29.0ms	x	@	0	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
23.0ms	x	@	inf	(log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
1.0ms	x	@	0	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
0.0ms	x	@	-inf	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`swap-sqr`
636×	`associate-*r/`
582×	`distribute-rgt-in`
568×	`associate-*l/`
526×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	351	136
2	3995	136

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) -1))))) (#(struct:change #<rule 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1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 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simplify155.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-/r*`
1150×	`associate--r+`
896×	`unswap-sqr`
852×	`+-commutative`
744×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	8575
1	493	7603
2	2332	7399
3	5684	7399

Stop Event

1×	node limit

Counts

177 → 118

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
	1.52%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	1.56%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	89.55%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

Compiler

Compiled 60 to 49 computations (18.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite131.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`associate-*r/`
596×	`distribute-rgt-in`
590×	`associate-*l/`
536×	`distribute-lft-in`
356×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	351	50
2	4196	50

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 2)) 1) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-/l*`
1354×	`associate-r`
1148×	`associate-l`
870×	`associate-/r*`
844×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2645
1	311	2057
2	1003	2045
3	4779	2045

Stop Event

1×	node limit

Counts

65 → 69

Calls

Call 1

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

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

localize198.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.51%	(sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
✓	1.52%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
✓	10.86%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2))
✓	91.66%	(fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))

Compiler

Compiled 188 to 166 computations (11.7% saved)

series5.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite147.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`associate-*r/`
686×	`distribute-rgt-in`
620×	`distribute-lft-in`
608×	`associate-*l/`
420×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	188
1	416	148
2	5032	122

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (-.f64 1 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (exp.f64 (log1p.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) 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(+.f64 1/2 (.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))))))

simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-r`
446×	`associate-l`
352×	`times-frac`
336×	`associate-/l*`
272×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	14776
1	913	14776
2	5463	14776

Stop Event

1×

unsound

Counts

212 → 183

Calls

Call 1

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

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

eval1.2s (7.4%)

Compiler: Compiled 44630 to 39116 computations (12.4% saved)

prune667.0ms (4%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1084	16	1100
Fresh	8	7	15
Picked	1	0	1
Done	3	2	5
Total	1096	25	1121

Error

90.71%

Counts

1121 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	94.08%	(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
	94.04%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
▶	94.22%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	94.26%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
	94.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)) -2))
▶	94.28%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
	94.35%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
	99.11%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
▶	94.23%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	94.23%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	94.23%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))
	94.19%	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4)) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
	94.22%	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
▶	92.61%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))))))
	93.92%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	94.22%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	95.96%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	92.63%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
	94.24%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	94.08%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	94.3%	(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	94.22%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	94.61%	(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
	94.22%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
	94.61%	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))

Compiler

Compiled 1238 to 1131 computations (8.6% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(log.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	0.04%	(acos.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2)))
✓	0.04%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))))
✓	10.86%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))))))

Compiler

Compiled 103 to 87 computations (15.5% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite144.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`associate-/l*`
566×	`associate-/r*`
430×	`add-sqr-sqrt`
414×	`pow1`
414×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	134
1	440	80
2	5439	80

Stop Event

1×	node limit

Counts

4 → 277

Calls

Call 1

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

Outputs
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simplify170.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1096×	`associate-r`
852×	`associate-l`
740×	`+-commutative`
508×	`*-commutative`
462×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	727	23413
1	2061	20337

Stop Event

1×	node limit

Counts

325 → 472

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	0.04%	(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	10.87%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite193.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`associate-*r/`
954×	`distribute-lft-in`
894×	`associate-*l/`
358×	`add-sqr-sqrt`
342×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	348	63
2	4358	63

Stop Event

1×	node limit

Counts

3 → 258

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) (pow.f64 (fma.f64 -1/2 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) 1) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 x) (-.f64 (*.f64 -1/2 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))

simplify344.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
858×	`associate-r`
774×	`associate-+r-`
748×	`associate-l`
574×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	638	25084
1	1767	20394
2	7479	20394

Stop Event

1×	node limit

Counts

286 → 356

Calls

Call 1

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

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

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.14%	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
✓	0.15%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	1.52%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	10.86%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

Compiler

Compiled 76 to 64 computations (15.8% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
0.0ms	x	@	0	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
0.0ms	x	@	-inf	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`associate-*r/`
574×	`distribute-rgt-in`
534×	`associate-*l/`
518×	`distribute-lft-in`
362×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	378	78
2	4255	78

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) 1) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6)) (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2) 3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6) (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))))

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-+r+`
1122×	`associate-+l+`
870×	`unswap-sqr`
682×	`cube-prod`
478×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	3604
1	348	3204
2	1031	3204
3	3296	3204

Stop Event

1×	node limit

Counts

78 → 72

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.52%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	1.56%	(sqrt.f64 (PI.f64))
✓	89.55%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

Compiler

Compiled 70 to 55 computations (21.4% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`distribute-rgt-in`
634×	`associate-*r/`
618×	`associate-*l/`
566×	`distribute-lft-in`
390×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	409	44
2	4625	44

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) 3))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) 1) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2) 3)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1480×	`associate-r`
1146×	`associate-l`
770×	`associate-/r*`
714×	`associate-*r/`
624×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	2717
1	324	2093
2	1064	2031
3	4882	2031

Stop Event

1×	node limit

Counts

65 → 66

Calls

Call 1

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

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

localize83.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
✓	1.52%	(asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	94.55%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))

Compiler

Compiled 82 to 69 computations (15.9% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`distribute-rgt-in`
642×	`distribute-lft-in`
606×	`associate-*r/`
570×	`associate-*l/`
386×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	397	63
2	4474	63

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

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

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

(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (exp.f64 (log1p.f64 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#<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (cbrt.f64 (-.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) 1/4) (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (sqrt.f64 (-.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) 1/4) (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) 1) (sqrt.f64 (-.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) 1/4) (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (-.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) 1/4) (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/2 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 x -1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1044×	`fma-def`
820×	`+-commutative`
792×	`distribute-lft-in`
742×	`distribute-rgt-in`
692×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	5462
1	710	4772
2	2199	4672
3	7336	4672

Stop Event

1×	node limit

Counts

142 → 168

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(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))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (.f64 (PI.f64) 1/2) (.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))) -2) (.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/2))) (-.f64 1 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(-.f64 (+.f64 (.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/2)))) 1)
(.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (-.f64 (.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1) (-.f64 (.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3)) 1) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (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 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(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 (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)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (.f64 (pow.f64 1 1/2) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (.f64 (pow.f64 1 1/2) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (.f64 (pow.f64 1 1/2) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (pow.f64 1 1/2) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (*.f64 (pow.f64 1 1/2) 0) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (pow.f64 1 1/2)) (.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 1 1/2)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 1 1/2)) (.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 1 1/2)))
(+.f64 (.f64 0 (pow.f64 1 1/2)) (.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (pow.f64 1 1/2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (cbrt.f64 (sqrt.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)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 x -1/2) 3))) (sqrt.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 x x)) 1/4) (.f64 -1/4 x))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 x -1/2) 3)))) (sqrt.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 x x)) 1/4) (*.f64 -1/4 x))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 x -1/2) 3)))) (cbrt.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 x x)) 1/4) (*.f64 -1/4 x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 x -1/2) 3)))) (sqrt.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 x x)) 1/4) (*.f64 -1/4 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) 1) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 x -1/2) 3))) 1) (sqrt.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 x x)) 1/4) (*.f64 -1/4 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 1/4 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 x -1/2) 3))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 x x)) 1/4) (*.f64 -1/4 x))))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (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 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

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

eval1.4s (8.4%)

Compiler: Compiled 45779 to 39162 computations (14.5% saved)

prune1.0s (6.1%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1349	14	1363
Fresh	2	16	18
Picked	0	1	1
Done	2	4	6
Total	1353	35	1388

Error

90.64%

Counts

1388 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	94.08%	(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
	94.04%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	94.04%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	93.98%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
✓	94.22%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
▶	94.26%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
	94.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)) -2))
✓	94.28%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
	94.35%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
	99.11%	(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
	94.23%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 3)
	92.64%	(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1))) 3)
	94.23%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))) 3)
▶	94.23%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (*.f64 1/2 (PI.f64))))
	94.23%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	92.62%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
	94.19%	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4)) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
	94.22%	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	93.92%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	94.22%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	95.96%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	92.63%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
▶	94.51%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
▶	92.6%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2)))))
	94.24%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	94.23%	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
	94.33%	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (pow.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 2) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
	94.29%	(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 1/2 (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
	94.08%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	94.3%	(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
▶	94.22%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	92.63%	(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
	94.61%	(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
	94.22%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
	94.61%	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))

Compiler

Compiled 1635 to 1493 computations (8.7% saved)

localize44.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.03%	(log.f64 (fma.f64 -1/2 x 1/2))
✓	0.04%	(acos.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2)))
✓	10.87%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2)))))

Compiler

Compiled 68 to 58 computations (14.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2)))))
0.0ms	x	@	0	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2)))))
0.0ms	x	@	-inf	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2)))))
0.0ms	x	@	-inf	(log.f64 (fma.f64 -1/2 x 1/2))
0.0ms	x	@	inf	(log.f64 (fma.f64 -1/2 x 1/2))

rewrite355.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`distribute-rgt-in`
924×	`distribute-lft-in`
646×	`associate-*r/`
520×	`associate-*l/`
380×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	373	63
2	4485	63

Stop Event

1×	node limit

Counts

3 → 264

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) (+.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4)) (+.f64 (log.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4)) (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)))) (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (log.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4))) (log.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (-.f64 1 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 -1/2 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (*.f64 -1/2 x) -1/2))))))

simplify167.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-def`
924×	`associate-r`
840×	`associate-l`
654×	`+-commutative`
548×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	20772
1	1823	18382

Stop Event

1×	node limit

Counts

300 → 367

Calls

Call 1

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

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

localize20.0ms (0.1%)

Compiler: Compiled 27 to 25 computations (7.4% saved)

localize83.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
	1.52%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	10.79%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	10.86%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))

Compiler

Compiled 74 to 62 computations (16.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`swap-sqr`
586×	`associate-*r/`
580×	`distribute-rgt-in`
546×	`associate-*l/`
528×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	343	37
2	3956	37

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-r`
1082×	`associate-l`
1078×	`associate-+r+`
1038×	`associate-+l+`
520×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	2940
1	278	2394
2	926	2388
3	4463	2370

Stop Event

1×	node limit

Counts

54 → 60

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.04%	(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	0.04%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	89.55%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))

Compiler

Compiled 80 to 65 computations (18.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`associate-*r/`
1122×	`associate-*l/`
406×	`add-sqr-sqrt`
390×	`pow1`
390×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	399	50
2	4903	50

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) -2) (+.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/2) -2) (+.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) -2)) (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) -2)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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(fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1652×	`associate-/l*`
820×	`associate-+r+`
672×	`associate-+l+`
670×	`associate-*r/`
658×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	351	10685
1	932	9719
2	3730	9719

Stop Event

1×	node limit

Counts

155 → 211

Calls

Call 1

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

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

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(sqrt.f64 (fma.f64 x -1/2 1/2))
✓	0.06%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (*.f64 1/2 (PI.f64))))
✓	1.52%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	94.33%	(fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))

Compiler

Compiled 100 to 82 computations (18% saved)

series6.0ms (0%)

Counts

4 → 28

Calls

12 calls:

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

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`associate-*r/`
668×	`associate-*l/`
630×	`associate-/r*`
504×	`associate-/l*`
438×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	162
1	448	162
2	5117	162

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (-.f64 1 (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1) (exp.f64 (log1p.f64 (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (sqrt.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (PI.f64) (.f64 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simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r*`
620×	`associate-/l/`
524×	`associate-r`
512×	`associate-l`
506×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	9737
1	804	9217
2	3720	9135

Stop Event

1×	node limit

Counts

155 → 177

Calls

Call 1

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

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

eval1.1s (6.7%)

Compiler: Compiled 39349 to 33573 computations (14.7% saved)

prune265.0ms (1.6%)

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	1117	6	1123
Fresh	3	22	25
Picked	1	0	1
Done	2	7	9
Total	1123	35	1158

Error

90.59%

Counts

1158 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	94.08%	(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
	94.04%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	94.04%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	93.98%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
✓	94.22%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
✓	94.26%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
	94.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)) -2))
✓	94.28%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
	94.35%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
	99.11%	(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
	94.23%	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 3)
	94.23%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))) 3)
	94.17%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (.f64 1/2 (PI.f64))))
	94.86%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 1/2)) 2 (*.f64 1/2 (PI.f64))))
	94.23%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	94.19%	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4)) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
	94.22%	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	93.92%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	94.22%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	95.96%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	92.63%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
✓	94.51%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
	92.55%	(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (.f64 (log1p.f64 (+.f64 (.f64 -1/2 x) -1/2)) 1/2)))))
	94.24%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
	94.23%	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
	94.33%	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (pow.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 2) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
	94.08%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	94.3%	(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
	94.24%	(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
	92.63%	(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
	92.62%	(log.f64 (exp.f64 (+.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1))))
	94.22%	(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
	94.61%	(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
	94.22%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
	94.61%	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))

Compiler

Compiled 831 to 759 computations (8.7% saved)

regimes169.0ms (1%)

Counts

57 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (.f64 (log1p.f64 (+.f64 (.f64 -1/2 x) -1/2)) 1/2)))))
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x 1/2)) 1/2)))))
(pow.f64 (cbrt.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 1/3) 3)
(log.f64 (exp.f64 (+.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))))))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1))) 3)
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/2 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 3)
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) 1))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)) -2))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -2))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 1/2)) 2 (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (fma.f64 (PI.f64) -1/2 (*.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (*.f64 1/2 (PI.f64))))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 -4 (pow.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2 (.f64 1/2 (PI.f64))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 3) -2)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4)) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (pow.f64 (cbrt.f64 (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 2) (.f64 -2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (fma.f64 (PI.f64) -1/2 (.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (.f64 1/2 (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2)) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 6)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))

Outputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (.f64 (log1p.f64 (+.f64 (.f64 -1/2 x) -1/2)) 1/2)))))

Calls

7 calls:

95.0ms	x
7.0ms	(-.f64 1 x)
6.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms	(/.f64 (-.f64 1 x) 2)

Results

Error	Segments	Branch
92.55%	1	`x`
92.55%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
92.55%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
92.55%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
92.55%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
92.55%	1	`(/.f64 (-.f64 1 x) 2)`
92.55%	1	`(-.f64 1 x)`

Compiler

Compiled 1569 to 1361 computations (13.3% saved)

regimes19.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	x
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Error	Segments	Branch
92.63%	1	`x`
92.63%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
92.63%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
92.63%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
92.63%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
92.63%	1	`(/.f64 (-.f64 1 x) 2)`
92.63%	1	`(-.f64 1 x)`

Compiler

Compiled 111 to 97 computations (12.6% saved)

regimes4.0ms (0%)

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
94.51%	1	`x`

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
28×	`+-commutative`
12×	`distribute-lft-neg-in`
12×	`sub-neg`
12×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	121
1	51	121
2	77	121
3	89	121
4	98	121
5	101	121

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(-.f64 (*.f64 (PI.f64) -1/2) (*.f64 -2 (acos.f64 (exp.f64 (*.f64 (log1p.f64 (+.f64 (*.f64 -1/2 x) -1/2)) 1/2)))))

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

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

Outputs
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (.f64 (log1p.f64 (+.f64 (.f64 -1/2 x) -1/2)) 1/2)))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (exp.f64 (.f64 (log1p.f64 (+.f64 -1/2 (.f64 -1/2 x))) 1/2)))))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (.f64 (PI.f64) -1/2) (.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 (PI.f64) -1/2) (.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))
(-.f64 (.f64 (PI.f64) -1/2) (.f64 -2 (acos.f64 (sqrt.f64 1/2))))

Compiler

Compiled 41 to 39 computations (4.9% saved)

soundness150.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1094×	`associate-r`
848×	`associate-l`
688×	`+-commutative`
566×	`*-commutative`
432×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	25253
1	2008	21627

Stop Event

1×	node limit

Compiler

Compiled 209 to 174 computations (16.7% saved)

end125.0ms (0.8%)

Compiler: Compiled 39 to 35 computations (10.3% saved)

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33
0	1	1

Iter	Nodes	Cost
0	15	41
1	30	41
2	44	37
3	70	37
4	103	37
5	149	33
6	240	33
7	337	33
8	422	33
9	542	33
10	606	33
11	616	33