Metrics for Ian Simplification

analyze4.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample3.7s (11%)

Results

2.1s	4121×	body	1024	valid
883.0ms	2072×	body	512	valid
381.0ms	1643×	body	256	valid
317.0ms	420×	body	2048	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess485.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

253×	`fma-def`
73×	`*-commutative`
67×	`associate--r+`
67×	`+-commutative`
54×	`associate-+l-`

Problems

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	188
1	55	180
2	110	164
3	229	152
4	405	144
5	615	144
6	811	144
7	1012	144
8	1156	144
9	1194	144
10	1201	144

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 66 to 56 computations (15.2% saved)

eval2.0ms (0%)

Compiler: Compiled 72 to 61 computations (15.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	8.0%	(-.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)

localize289.0ms (0.9%)

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)))
✓	9.5%	(-.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)

series5.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite257.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`*-commutative`
358×	`associate-/l*`
326×	`distribute-lft-in`
316×	`distribute-rgt-in`
297×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	230	84
2	3054	84

Stop Event

1×	node limit

Counts

3 → 184

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

simplify182.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-+r+`
573×	`associate-+l+`
476×	`+-commutative`
435×	`fma-def`
360×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	18144
1	1225	14046
2	5360	13794

Stop Event

1×	node limit

Counts

212 → 279

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

eval416.0ms (1.2%)

Compiler: Compiled 9980 to 8721 computations (12.6% saved)

prune141.0ms (0.4%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	256	23	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	256	24	280

Accuracy

11.2%

Counts

280 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) 1/3)
	1.9%	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2)
	8.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	8.0%	(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	8.0%	(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) 3)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	8.0%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4))))
	8.0%	(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2)))))
▶	9.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
	7.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.9%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	7.9%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
▶	7.6%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.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 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 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))))
	8.0%	(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)))
▶	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
▶	8.0%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))
	1.9%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) 1/3)
	1.9%	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2)
	8.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	8.0%	(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
	8.0%	(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) 3)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	8.0%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4))) (.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 4))))
	8.0%	(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2)))))
▶	9.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
	8.0%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
	7.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.9%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	7.9%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
▶	7.6%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.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 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 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))))
	8.0%	(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)))
▶	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
▶	8.0%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))

Compiler

Compiled 3668 to 3310 computations (9.8% saved)

localize8.3s (24.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	98.5%	(cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
✓	98.5%	(pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)
✓	9.5%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
✓	3.2%	(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))))))
✓	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))))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	9.5%	(-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	100.0%	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	9.6%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
✓	9.5%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
✓	98.4%	(asin.f64 (sqrt.f64 1/2))
✓	100.0%	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	100.0%	(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	99.9%	(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
✓	9.5%	(-.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 493 to 421 computations (14.6% saved)

series30.0ms (0.1%)

Counts

17 → 164

Calls

45 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(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))))))
4.0ms	x	@	0	(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))))))
3.0ms	x	@	-inf	(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))))))
2.0ms	x	@	0	(-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
1.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))

rewrite613.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`associate-+l+`
245×	`associate-+r+`
221×	`+-commutative`
212×	`pow1`
210×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	592
1	583	471
2	6396	471

Stop Event

1×	node limit

Counts

17 → 1292

Calls

Call 1

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

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

simplify1.4s (4.3%)

Algorithm

1×	egg-herbie

Rules

718×	`associate-+r+`
698×	`associate-r`
687×	`+-commutative`
646×	`associate-l`
301×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1326	98536
1	3305	97326

Stop Event

1×	node limit

Counts

1456 → 915

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (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 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 -1/32 (/.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 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (sqrt.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))))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (sqrt.f64 2))
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(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) 1)
(.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 1)
(.f64 1 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(.f64 -1 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(+.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 0)
(+.f64 0 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 0 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 1)
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(.f64 1 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 -1 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)))
(*.f64 (cbrt.f64 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 2) (neg.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 -2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(.f64 (.f64 -1 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(.f64 (.f64 -1 (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (.f64 -1 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 (+.f64 0 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (.f64 0 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (-.f64 0 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(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 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(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 (fma.f64 x -1/2 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(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 (fma.f64 x -1/2 1/2)))
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(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) 1))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(+.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 0)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 0 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 0 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 1)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 1 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 -1 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 2) (neg.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 -2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(.f64 (.f64 -1 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (.f64 -1 (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 2) (neg.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (.f64 -1 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 2) (neg.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 -2))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 (+.f64 0 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (.f64 0 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 2 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(/.f64 (-.f64 0 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

eval2.4s (7%)

Compiler: Compiled 71071 to 62140 computations (12.6% saved)

prune793.0ms (2.3%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1540	19	1559
Fresh	4	14	18
Picked	2	3	5
Done	0	1	1
Total	1546	37	1583

Accuracy

11.5%

Counts

1583 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.9%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) 1/3)
	1.9%	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2)
	8.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	8.0%	(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) 3)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	8.0%	(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2)))))
	4.3%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	4.9%	(/.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))))
✓	9.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
▶	5.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	7.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.9%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	7.9%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
	7.7%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (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))))))))
	7.8%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
	7.6%	(+.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))) (.f64 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))))))))
	9.5%	(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (.f64 (PI.f64) 1/2)))
	7.8%	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.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 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 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))))
	9.4%	(.f64 (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))))
✓	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
▶	4.3%	(.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 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.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 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
▶	9.5%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))))
	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))))
	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))))
▶	8.0%	(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))
▶	1.9%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) 1/3)
	1.9%	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2)
	8.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	8.0%	(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) 3)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	8.0%	(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2)))))
	4.3%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	4.9%	(/.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))))
✓	9.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
▶	5.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	7.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.9%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	7.9%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
	7.7%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (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))))))))
	7.8%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
	7.6%	(+.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))) (.f64 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))))))))
	9.5%	(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (.f64 (PI.f64) 1/2)))
	7.8%	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.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 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 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))))
	9.4%	(.f64 (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))))
✓	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
▶	4.3%	(.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 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.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 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
▶	9.5%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))))
	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))))
	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))))
▶	8.0%	(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))

Compiler

Compiled 5440 to 4892 computations (10.1% saved)

localize6.9s (20.3%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.2%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	54.4%	(-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
✓	54.4%	(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
✓	51.6%	(PI.f64)
	99.2%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
	54.3%	(-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	53.4%	(+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2)))
✓	51.6%	(PI.f64)
	99.2%	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	67.2%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) 1/3)
	54.3%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
✓	51.6%	(PI.f64)
✓	51.6%	(PI.f64)
✓	100.0%	(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
✓	54.4%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))))
✓	54.3%	(fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))
✓	51.6%	(PI.f64)

Compiler

Compiled 625 to 526 computations (15.8% saved)

series82.0ms (0.2%)

Counts

13 → 84

Calls

24 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2)))
14.0ms	x	@	-inf	(+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2)))
14.0ms	x	@	inf	(+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2)))
5.0ms	x	@	0	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) 1/3)
2.0ms	x	@	0	(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))

rewrite172.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

306×	`pow1`
304×	`*-un-lft-identity`
302×	`associate-r`
288×	`add-exp-log`
286×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	473
1	818	397

Stop Event

1×	node limit

Counts

13 → 434

Calls

Call 1

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

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

simplify343.0ms (1%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-/r*`
595×	`times-frac`
515×	`associate-r`
424×	`associate-l`
311×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	520	44044
1	1417	41861

Stop Event

1×	node limit

Counts

518 → 322

Calls

Call 1

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

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

eval861.0ms (2.5%)

Compiler: Compiled 37964 to 32787 computations (13.6% saved)

prune301.0ms (0.9%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	851	8	859
Fresh	1	27	28
Picked	3	2	5
Done	0	4	4
Total	855	41	896

Accuracy

11.8%

Counts

896 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(pow.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 3) 1/3)
	8.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	8.0%	(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) 3)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	8.0%	(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2)))))
	4.3%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	4.9%	(/.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))))
✓	9.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	5.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	7.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	8.0%	(-.f64 (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
	7.9%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	7.9%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
	7.7%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (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))))))))
▶	7.8%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
	7.6%	(+.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))) (.f64 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))))))))
	9.5%	(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (.f64 (PI.f64) 1/2)))
	7.8%	(.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
▶	7.8%	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.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 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 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))))
	4.4%	(.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (-.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))))
	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))))
✓	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
✓	4.3%	(.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 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.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 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))))
▶	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))))
	7.9%	(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
▶	9.5%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))))
	8.0%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))
	1.9%	(pow.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 3) 1/3)
	8.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) -16)) (.f64 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4 (.f64 (pow.f64 (PI.f64) 2) 1/4))))
	8.0%	(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) 3)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
	8.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	8.0%	(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/2)))))
	4.3%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	4.9%	(/.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 1/2 (PI.f64)))) (/.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))))
✓	9.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	5.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	7.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
▶	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	8.0%	(-.f64 (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (.f64 4 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
	7.9%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	7.9%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
	7.7%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (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))))))))
▶	7.8%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
	7.6%	(+.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))) (.f64 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))))))))
	9.5%	(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (.f64 (PI.f64) 1/2)))
	7.8%	(.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
▶	7.8%	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.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 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 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))))
	4.4%	(.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (-.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))))
	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))))
✓	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
✓	4.3%	(.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 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.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 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))))
▶	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))))
	7.9%	(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
▶	9.5%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))))
	8.0%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))

Compiler

Compiled 6070 to 5462 computations (10% saved)

localize3.8s (11.2%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	98.5%	(cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
✓	98.5%	(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2)
	9.5%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
✓	8.8%	(fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.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))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	7.8%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
✓	100.0%	(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
✓	98.5%	(asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
✓	9.6%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))))
✓	9.5%	(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) -2))
✓	100.0%	(sqrt.f64 (/.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)))))
✓	9.5%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	99.9%	(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
✓	9.6%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))))
✓	9.5%	(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))

Compiler

Compiled 647 to 549 computations (15.1% saved)

series38.0ms (0.1%)

Counts

16 → 120

Calls

45 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	(sqrt.f64 (/.f64 2 (-.f64 1 x)))
3.0ms	x	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
3.0ms	x	@	inf	(fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
2.0ms	x	@	0	(fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
1.0ms	x	@	inf	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))

rewrite172.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

353×	`*-un-lft-identity`
340×	`associate-r`
339×	`add-exp-log`
337×	`add-log-exp`
332×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	571
1	983	500

Stop Event

1×	node limit

Counts

16 → 329

Calls

Call 1

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

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

simplify201.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

385×	`associate-r`
330×	`associate-l`
297×	`*-commutative`
285×	`fma-def`
187×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	754	23660
1	1797	23660

Stop Event

1×	node limit

Counts

449 → 321

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))
(-.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)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/8 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/2 (.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 5/16 (.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (.f64 3/8 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/2 (.f64 x (sqrt.f64 2))))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 1/2 (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 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)))))
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(cbrt.f64 (*.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) (pow.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) 2)))
(expm1.f64 (log1p.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))
(exp.f64 (log.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))
(log1p.f64 (expm1.f64 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))
(*.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/4)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))))
(+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))
(+.f64 (sqrt.f64 (/.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 2)) 1) (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (sqrt.f64 (/.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 1 (+.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))))
(.f64 (+.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))) 1)
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) 2)) 3) (pow.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)) (+.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (sqrt.f64 (/.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))) 1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))))
(cbrt.f64 (.f64 (+.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))) (pow.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (/.f64 (PI.f64) 2)))))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 1 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(.f64 (sqrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) -8)) (+.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(/.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(sqrt.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 1 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 1)
(.f64 -1 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(.f64 (sqrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(.f64 (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (sqrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 (pow.f64 2 1/6) (pow.f64 2 1/6)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)) (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(.f64 (.f64 (.f64 (pow.f64 2 1/6) (pow.f64 2 1/6)) (.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/6))))
(neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (cbrt.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))

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

eval637.0ms (1.9%)

Compiler: Compiled 27740 to 24276 computations (12.5% saved)

prune265.0ms (0.8%)

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	592	13	605
Fresh	8	22	30
Picked	2	3	5
Done	0	6	6
Total	602	44	646

Accuracy

11.8%

Counts

646 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(pow.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 3) 1/3)
	8.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) 2) 3) (.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 3))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))))))
	8.0%	(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) 3)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 8))))))
	8.0%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))))
	4.3%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))) (.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/2) 2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(/.f64 1 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))) 2))))
✓	9.5%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
✓	5.4%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 1/2)))))
	7.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2)))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	7.9%	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
	7.8%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
	7.8%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (+.f64 0 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) -2)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
	7.9%	(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 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))))))))
	7.6%	(+.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 1/2 (PI.f64))) (.f64 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))))))))
	9.5%	(+.f64 (.f64 (.f64 (PI.f64) 1/2) -2) (+.f64 (.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (.f64 (PI.f64) 1/2)))
	7.8%	(.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	7.8%	(.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	7.8%	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)))
	7.8%	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))))
✓	7.8%	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2)) (fma.f64 (PI.f64) 1/2 (fma.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) -8)) (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.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 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 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
	8.0%	(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) -4)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 8))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 1/2)))))
	4.4%	(.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (-.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	4.3%	(.f64 (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (neg.f64 (sqrt.f64 2)))))
	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))))
✓	7.8%	(.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 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
✓	4.3%	(.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 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 3)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	4.3%	(.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 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (.f64 (PI.f64) 1/2))))
	9.4%	(.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 1/4)) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/4))) (+.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
	7.9%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)) -2))))
	8.0%	(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 -1/2 (PI.f64))))))
	7.9%	(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4) (fma.f64 (PI.f64) 1/2 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
	8.0%	(log.f64 (exp.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))))
	7.9%	(log.f64 (exp.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2)))))))
✓	9.5%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 1/2 (PI.f64)))))
	8.0%	(expm1.f64 (log1p.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3))

Compiler

Compiled 3941 to 3484 computations (11.6% saved)

regimes129.0ms (0.4%)

Counts

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

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:

29.0ms	x
16.0ms	(/.f64 (-.f64 1 x) 2)
7.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
7.0ms	(-.f64 1 x)
6.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Results

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

Compiler

Compiled 2370 to 2063 computations (13% saved)

regimes60.0ms (0.2%)

Counts

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

Outputs

(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (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:

22.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
13.0ms	x
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(/.f64 (-.f64 1 x) 2)
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
9.6%	3	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
9.6%	3	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
9.6%	3	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
9.6%	3	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
9.6%	3	`(/.f64 (-.f64 1 x) 2)`
9.6%	3	`(-.f64 1 x)`
10.9%	3	`x`

Compiler

Compiled 113 to 99 computations (12.4% saved)

regimes12.0ms (0%)

Counts

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

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
10.3%	3	`x`

Compiler

Compiled 49 to 43 computations (12.2% 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
8.0%	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)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.1%	1	`x`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch115.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	3.1824649020163303e-164	6.537757379275057e-162
65.0ms	-1.3365488521464855e-156	-5.899916096747218e-166

Results

109.0ms

256×

body

1024

valid

Compiler

Compiled 512 to 478 computations (6.6% saved)

bsearch83.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.7259439868020463e-18	1.373014805683453e-16
65.0ms	-1.3365488521464855e-156	-5.899916096747218e-166

Results

62.0ms	144×	body	1024	valid
17.0ms	112×	body	256	valid

Compiler

Compiled 498 to 464 computations (6.8% saved)

bsearch183.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
183.0ms	-2.88387450226636e-308	2.9216628966998523e-288

Results

180.0ms

176×

body

2048

valid

Compiler

Compiled 282 to 280 computations (0.7% saved)

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

185×	`distribute-lft-neg-in`
129×	`distribute-neg-out`
127×	`unsub-neg`
120×	`*-commutative`
103×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	486
1	111	486
2	171	486
3	210	486
4	264	486
5	298	486
6	331	486
7	486	486
8	865	486
9	1154	486
10	1160	486
11	1200	486
12	1247	486
13	1297	486
14	1338	486
15	1376	486
16	1385	486
17	1385	486

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 (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)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (-.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 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 (PI.f64) 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)))))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(if (or (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (not (<=.f64 x 8924260225606735/162259276829213363391578010288128))) (-.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))))))
(if (or (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (not (<=.f64 x 8924260225606735/162259276829213363391578010288128))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (-.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 153 to 136 computations (11.1% saved)

soundness319.0ms (0.9%)

Rules

558×	`*-commutative`
558×	`*-commutative`
358×	`associate-/l*`
358×	`associate-/l*`
326×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	230	84
2	3054	84
0	16	88
1	230	84
2	3054	84

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 259 to 221 computations (14.7% saved)

end0.0ms (0%)

preprocess114.0ms (0.3%)

Compiler: Compiled 330 to 282 computations (14.5% saved)

analyze4.0ms (0%)

sample3.7s (11%)

preprocess485.0ms (1.4%)

eval2.0ms (0%)

prune2.0ms (0%)

localize289.0ms (0.9%)

series5.0ms (0%)

rewrite257.0ms (0.8%)

simplify182.0ms (0.5%)

eval416.0ms (1.2%)

prune141.0ms (0.4%)

localize8.3s (24.4%)

series30.0ms (0.1%)

rewrite613.0ms (1.8%)

simplify1.4s (4.3%)

eval2.4s (7%)

prune793.0ms (2.3%)

localize6.9s (20.3%)

series82.0ms (0.2%)

rewrite172.0ms (0.5%)

simplify343.0ms (1%)

eval861.0ms (2.5%)

prune301.0ms (0.9%)

localize3.8s (11.2%)

series38.0ms (0.1%)

rewrite172.0ms (0.5%)

simplify201.0ms (0.6%)

eval637.0ms (1.9%)

prune265.0ms (0.8%)

regimes129.0ms (0.4%)

regimes60.0ms (0.2%)

regimes12.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0%)

regimes3.0ms (0%)

bsearch115.0ms (0.3%)

bsearch83.0ms (0.2%)

bsearch183.0ms (0.5%)

simplify66.0ms (0.2%)

soundness319.0ms (0.9%)

end0.0ms (0%)

preprocess114.0ms (0.3%)

Profiling