Metrics for Ian Simplification

analyze11.0ms (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)

sample5.9s (17.5%)

Results

3.4s	4138×	body	1024	valid
1.0s	2046×	body	512	valid
803.0ms	1634×	body	256	valid
743.0ms	438×	body	2048	valid
1.0ms	4×	body	256	invalid

Bogosity

preprocess705.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

253×	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
3×	No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	127
1	48	123
2	85	111
3	159	103
4	272	99
5	417	99
6	569	99
7	713	99
8	842	99
9	993	99
10	1107	99
11	1124	99

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 66 to 56 computations (15.2% saved)

eval7.0ms (0%)

Compiler: Compiled 61 to 52 computations (14.8% saved)

prune9.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 26 computations (7.1% saved)

localize634.0ms (1.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite112.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

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

simplify422.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

978×	`distribute-lft-in`
868×	`distribute-rgt-in`
728×	`unswap-sqr`
504×	`associate-+r+`
442×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	10465
1	948	9777
2	2671	9321

Stop Event

1×	node limit

Counts

221 → 268

Calls

Call 1

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

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

eval225.0ms (0.7%)

Compiler: Compiled 6534 to 5655 computations (13.5% saved)

prune161.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	252	16	268
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	252	17	269

Accuracy

10.7%

Counts

269 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
▶	7.5%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	7.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	7.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
▶	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.5%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	7.5%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
▶	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
▶	7.5%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
	7.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	7.3%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
▶	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.5%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	7.5%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))

Compiler

Compiled 1192 to 1102 computations (7.6% saved)

localize6.3s (18.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	98.9%	(cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2)))
✓	98.8%	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	9.1%	(fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))
✓	100.0%	(expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	98.5%	(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
✓	98.4%	(asin.f64 (sqrt.f64 1/2))
✓	100.0%	(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
✓	9.1%	(-.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 324 to 269 computations (17% saved)

series264.0ms (0.8%)

Counts

17 → 176

Calls

48 calls:

Time	Variable		Point	Expression
88.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
72.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
48.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)
8.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))) 3)

rewrite883.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`add-sqr-sqrt`
610×	`pow1`
608×	`*-un-lft-identity`
584×	`add-exp-log`
584×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	465
1	776	445

Stop Event

1×	node limit

Counts

17 → 717

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

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

simplify1.2s (3.5%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-neg`
1034×	`log-prod`
772×	`fma-def`
762×	`associate-r`
714×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	670	45353
1	1573	38071
2	6126	38023

Stop Event

1×	node limit

Counts

893 → 439

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

eval1.9s (5.6%)

Compiler: Compiled 18940 to 16365 computations (13.6% saved)

prune462.0ms (1.4%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	672	14	686
Fresh	2	9	11
Picked	1	4	5
Done	0	1	1
Total	675	28	703

Accuracy

10.8%

Counts

703 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	4.6%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
▶	7.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.5%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
	7.5%	(pow.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) 3)
	7.5%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	2.1%	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
▶	9.1%	(-.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))))))
▶	8.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))))))
✓	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.5%	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)))
	7.5%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	7.5%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	7.4%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	4.6%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) 1/2))
▶	7.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.5%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
	7.5%	(pow.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) 3)
	7.5%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	2.1%	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 3)
	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
▶	9.1%	(-.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))))))
▶	8.9%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))))))
✓	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.5%	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)))
	7.5%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	7.5%	(log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))

Compiler

Compiled 2218 to 2038 computations (8.1% saved)

localize3.7s (10.9%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	7.5%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 3/2))))
✓	100.0%	(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2)
✓	100.0%	(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))))))
✓	100.0%	(/.f64 2 (-.f64 1 x))
✓	98.5%	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	98.5%	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	100.0%	(log.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	100.0%	(exp.f64 (.f64 (log.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2))
✓	100.0%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (exp.f64 (.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/2))))
✓	9.1%	(-.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))))))

Compiler

Compiled 398 to 327 computations (17.8% saved)

series54.0ms (0.2%)

Counts

16 → 156

Calls

45 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
1.0ms	x	@	inf	(-.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))))))
1.0ms	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))))))
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))))))
1.0ms	x	@	0	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))

rewrite274.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`add-sqr-sqrt`
1052×	`pow1`
998×	`add-exp-log`
996×	`add-log-exp`
994×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	556
1	1092	556

Stop Event

1×	node limit

Counts

16 → 171

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

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

simplify519.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

890×	`associate-r`
812×	`associate-l`
810×	`exp-prod`
712×	`fma-def`
600×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	599	13073
1	1445	11555
2	5516	11435

Stop Event

1×	node limit

Counts

327 → 345

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

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

eval1.8s (5.4%)

Compiler: Compiled 20947 to 17615 computations (15.9% saved)

prune296.0ms (0.9%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	701	10	711
Fresh	5	13	18
Picked	2	3	5
Done	1	4	5
Total	709	30	739

Accuracy

10.9%

Counts

739 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))
✓	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))) -2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.5%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
▶	7.5%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	2.1%	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 3)
▶	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
✓	9.1%	(-.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))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.3%	(+.f64 (.f64 -1 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (PI.f64)))
	7.5%	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)))
▶	7.5%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))
	5.8%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.4%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))
✓	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))) -2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.5%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
▶	7.5%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
	2.1%	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 3)
▶	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
✓	9.1%	(-.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))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.3%	(+.f64 (.f64 -1 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (PI.f64)))
	7.5%	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)))
▶	7.5%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))))
	5.8%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))

Compiler

Compiled 2174 to 1990 computations (8.5% saved)

localize6.4s (18.8%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	98.8%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1) 3)
✓	98.5%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	13.2%	(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1)
✓	9.1%	(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.4%	(+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))
✓	98.4%	(expm1.f64 (*.f64 (PI.f64) 1/2))
✓	9.2%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
✓	98.9%	(cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	98.8%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
✓	98.5%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	9.1%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
✓	98.4%	(asin.f64 (/.f64 1 (sqrt.f64 2)))
✓	98.5%	(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
✓	98.5%	(asin.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x)))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))

Compiler

Compiled 521 to 435 computations (16.5% saved)

series172.0ms (0.5%)

Counts

16 → 136

Calls

36 calls:

Time	Variable		Point	Expression
54.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1)
31.0ms	x	@	0	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
21.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
17.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1)
16.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))))) 1)

rewrite139.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`pow1`
1042×	`log1p-expm1-u`
1040×	`add-exp-log`
1038×	`expm1-log1p-u`
1036×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	588
1	1227	588

Stop Event

1×	node limit

Counts

16 → 182

Calls

Call 1

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

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

simplify138.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

994×	`distribute-lft-in`
960×	`distribute-rgt-in`
606×	`unswap-sqr`
506×	`associate-+r+`
466×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	12690
1	858	11268
2	3090	11148

Stop Event

1×	node limit

Counts

318 → 222

Calls

Call 1

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

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

eval207.0ms (0.6%)

Compiler: Compiled 8773 to 7637 computations (12.9% saved)

prune85.0ms (0.2%)

Pruning

33 alts after pruning (23 fresh and 10 done)

	Pruned	Kept	Total
New	282	7	289
Fresh	2	16	18
Picked	2	3	5
Done	0	7	7
Total	286	33	319

Accuracy

10.9%

Counts

319 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.5%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 x -1/2)) 1/4) 2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/4))) (+.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	7.4%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))
✓	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))) -2))
	7.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
	7.5%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 3) 3)
	7.5%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64)))))))) 1) 3)
	7.5%	(pow.f64 (+.f64 (+.f64 1 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 1/2 (PI.f64))))) -1) 3)
✓	7.5%	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
	7.5%	(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 3)
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))))))
✓	9.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
	5.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
✓	9.1%	(-.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))))))
	7.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))))
	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	7.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.3%	(+.f64 (.f64 -1 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (PI.f64)))
	7.5%	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2 (.f64 (PI.f64) 1/2))) 2)))
✓	7.5%	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))))
	7.5%	(log.f64 (/.f64 (exp.f64 (.f64 1/2 (PI.f64))) (exp.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	7.5%	(log.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.5%	(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2 (.f64 (PI.f64) 1/2))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x))) (+.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 1/2 (PI.f64)))))
	2.1%	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 (PI.f64) 1/2))))
	5.8%	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
	7.4%	(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x))) (+.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 1/2 (PI.f64))) (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x))) (+.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 1/2 (PI.f64)))) (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1/4 (.f64 x (.f64 1/4 x))) (+.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 1/2 (PI.f64)))))

Compiler

Compiled 1798 to 1581 computations (12.1% saved)

regimes80.0ms (0.2%)

Counts

48 → 1

Calls

Call 1

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

Outputs
(-.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))))))

Calls

7 calls:

22.0ms	x
6.0ms	(/.f64 (-.f64 1 x) 2)
6.0ms	(-.f64 1 x)
5.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Accuracy	Segments	Branch
9.1%	1	`x`
9.1%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.1%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.1%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.1%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.1%	1	`(/.f64 (-.f64 1 x) 2)`
9.1%	1	`(-.f64 1 x)`

Compiler

Compiled 1094 to 939 computations (14.2% saved)

regimes33.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
9.1%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.1%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.1%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.1%	1	`(/.f64 (-.f64 1 x) 2)`
9.1%	1	`(-.f64 1 x)`
9.1%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.1%	1	`x`

Compiler

Compiled 282 to 245 computations (13.1% saved)

regimes48.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

13.0ms	x
6.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
9.1%	3	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.1%	3	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.1%	3	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.1%	3	`(/.f64 (-.f64 1 x) 2)`
9.1%	3	`(-.f64 1 x)`
9.1%	3	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
10.6%	3	`x`

Compiler

Compiled 127 to 111 computations (12.6% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
7.5%	1	`x`

Compiler

Compiled 51 to 45 computations (11.8% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
7.5%	1	`x`

Compiler

Compiled 36 to 32 computations (11.1% saved)

regimes7.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
5.8%	2	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.0%	1	`x`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch94.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	9.664834226743712e-163	1.414855280421846e-161
51.0ms	-5.567738307047832e-161	-5.029059356628349e-163

Results

91.0ms

208×

body

1024

valid

Compiler

Compiled 420 to 392 computations (6.7% saved)

bsearch91.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
91.0ms	-2.6094010059238627e-307	1.4410024301430846e-306

Results

89.0ms

128×

body

2048

valid

Compiler

Compiled 210 to 208 computations (1% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

856×	`unsub-neg`
444×	`neg-mul-1`
314×	`distribute-lft-neg-in`
232×	`distribute-neg-out`
164×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	459
1	120	459
2	199	459
3	251	459
4	322	459
5	382	459
6	404	459
7	589	459
8	1089	459
9	1477	459
10	1483	459
11	1531	459
12	1597	459
13	1666	459
14	1736	459
15	1781	459
16	1791	459
17	1800	459

Stop Event

1×	fuel
1×	saturated

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) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Outputs
(-.f64 (/.f64 (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) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (exp.f64 (.f64 1/2 (log.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (exp.f64 (.f64 1/2 (log.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (PI.f64) 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 1/2)) (.f64 (PI.f64) 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Compiler

Compiled 154 to 139 computations (9.7% saved)

soundness390.0ms (1.1%)

Rules

1500×	`log-prod`
1500×	`log-prod`
774×	`fma-def`
774×	`fma-def`
718×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	328	75
2	4296	75
0	15	79
1	328	75
2	4296	75
0	35	465
1	776	445

Stop Event

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

Compiler

Compiled 317 to 271 computations (14.5% saved)

end0.0ms (0%)

preprocess115.0ms (0.3%)

Compiler: Compiled 330 to 284 computations (13.9% saved)

analyze11.0ms (0%)

sample5.9s (17.5%)

preprocess705.0ms (2.1%)

eval7.0ms (0%)

prune9.0ms (0%)

localize634.0ms (1.9%)

series4.0ms (0%)

rewrite112.0ms (0.3%)

simplify422.0ms (1.2%)

eval225.0ms (0.7%)

prune161.0ms (0.5%)

localize6.3s (18.4%)

series264.0ms (0.8%)

rewrite883.0ms (2.6%)

simplify1.2s (3.5%)

eval1.9s (5.6%)

prune462.0ms (1.4%)

localize3.7s (10.9%)

series54.0ms (0.2%)

rewrite274.0ms (0.8%)

simplify519.0ms (1.5%)

eval1.8s (5.4%)

prune296.0ms (0.9%)

localize6.4s (18.8%)

series172.0ms (0.5%)

rewrite139.0ms (0.4%)

simplify138.0ms (0.4%)

eval207.0ms (0.6%)

prune85.0ms (0.2%)

regimes80.0ms (0.2%)

regimes33.0ms (0.1%)

regimes48.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

bsearch94.0ms (0.3%)

bsearch91.0ms (0.3%)

simplify74.0ms (0.2%)

soundness390.0ms (1.1%)

end0.0ms (0%)

preprocess115.0ms (0.3%)

Profiling