Details

analyze10.0ms (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)

sample6.0s (13.2%)

Results

3.7s	4088×	body	1024	valid
1.2s	2137×	body	512	valid
527.0ms	397×	body	2048	valid
516.0ms	1634×	body	256	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess31.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	16	41
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	16	41

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 14 to 13 computations (7.1% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

59.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

localize54.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	7.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 51 to 42 computations (17.6% saved)

series6.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite170.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`rational.json-simplify-49`
790×	`rational.json-simplify-47`
774×	`rational.json-simplify-54`
606×	`rational.json-5`
604×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	121	79
2	367	79
3	1346	79
4	5099	79

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 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2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1) (.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 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))

simplify228.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1482×	`rational.json-simplify-49`
1180×	`rational.json-simplify-2`
1180×	`rational.json-simplify-54`
904×	`rational.json-simplify-50`
682×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2893
1	305	2709
2	782	2597
3	2367	2597
4	7037	2597

Stop Event

1×	node limit

Counts

91 → 87

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(.f64 (/.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1))
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (/.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 (-.f64 1 x) 2)))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))
(.f64 (neg.f64 (/.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 (-.f64 1 x) 2))))))) (-.f64 -1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1) (.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 (-.f64 1 x) 2))))))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 x -1/2)))
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(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))

eval163.0ms (0.4%)

Compiler: Compiled 2672 to 2310 computations (13.5% saved)

prune141.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	78	9	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	10	88

Error

57.6b

Counts

88 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.7b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
▶	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))
	59.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	61.2b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	58.7b	(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
▶	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
▶	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
	59.4b	(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))

Compiler

Compiled 1072 to 947 computations (11.7% saved)

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
✓	0.0b	(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	6.8b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

Compiler

Compiled 136 to 117 computations (14% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite254.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`rational.json-simplify-47`
852×	`rational.json-simplify-55`
796×	`rational.json-5`
794×	`exponential.json-3`
794×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	225
1	151	109
2	483	109
3	1774	109
4	7062	109

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.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 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

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(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 2 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))))

simplify173.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-47`
1412×	`rational.json-simplify-49`
1164×	`rational.json-simplify-50`
914×	`rational.json-simplify-104`
840×	`rational.json-simplify-76`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	3818
1	298	3690
2	575	3626
3	2740	3626

Stop Event

1×	node limit

Counts

98 → 77

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)))))
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 2)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 2)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 2)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 2)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 0)
(+.f64 0 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 0)
(-.f64 0 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1)
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(neg.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 2 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
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(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(neg.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 2 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (fabs.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

localize24.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(asin.f64 (sqrt.f64 1/2))

Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite144.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational.json-simplify-47`
770×	`exponential.json-3`
770×	`rational.json-1`
770×	`rational.json-2`
770×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	42	9
2	142	9
3	495	9
4	1611	9
5	6607	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))))))

simplify322.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational.json-simplify-50`
1206×	`rational.json-simplify-54`
1156×	`rational.json-simplify-2`
1116×	`rational.json-simplify-111`
904×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	270
1	118	270
2	484	270
3	1981	270
4	5012	270
5	7984	270

Stop Event

1×	node limit

Counts

30 → 31

Calls

Call 1

Inputs
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(+.f64 0 (asin.f64 (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1)
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 -1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (fabs.f64 (asin.f64 (sqrt.f64 1/2))) (.f64 (fabs.f64 (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 1))
(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))

Outputs
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(+.f64 0 (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 -1 (-.f64 -1 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (fabs.f64 (asin.f64 (sqrt.f64 1/2))) (.f64 (fabs.f64 (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 1))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))

localize224.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	1.0b	(asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
✓	1.0b	(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
✓	59.7b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))

Compiler

Compiled 101 to 89 computations (11.9% saved)

series5.0ms (0%)

Counts

4 → 32

Calls

12 calls:

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

rewrite175.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`rational.json-simplify-47`
916×	`rational.json-simplify-49`
720×	`rational.json-5`
718×	`exponential.json-3`
718×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	138
1	173	102
2	494	102
3	1647	102
4	6147	102

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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 (-.f64 1 x) 2)))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -2 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))

simplify200.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational.json-simplify-54`
992×	`rational.json-simplify-50`
914×	`rational.json-simplify-1`
534×	`rational.json-simplify-47`
522×	`rational.json-simplify-111`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	3111
1	352	3103
2	865	3063
3	2629	3043
4	6475	3043

Stop Event

1×	node limit

Counts

109 → 121

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)))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(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)))))
(*.f64 -1 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/16 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 -1 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(+.f64 1 (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(+.f64 (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(+.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(+.f64 1 (-.f64 -2 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(+.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(+.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(+.f64 (-.f64 -2 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 -1 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(pow.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(neg.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 x -1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 x -1/2)) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) -1/8))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 x -1/2)) (.f64 (sqrt.f64 1/2) (.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 x -1/2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 x -1/2)) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) -1/8)))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 3) -1/16)))
(+.f64 (+.f64 (.f64 (sqrt.f64 1/2) (.f64 x -1/2)) (.f64 (sqrt.f64 1/2) (.f64 -1/8 (pow.f64 x 2)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 x -1/2))) (.f64 (sqrt.f64 1/2) (*.f64 -1/16 (pow.f64 x 3)))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 x -1/2))) (+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (*.f64 -1/16 (pow.f64 x 3)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
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(.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(pow.f64 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(neg.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

localize83.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	0.0b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	7.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 136 to 115 computations (15.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite148.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`rational.json-5`
760×	`exponential.json-3`
760×	`rational.json-1`
760×	`rational.json-2`
760×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	139
1	149	41
2	459	41
3	1681	41
4	7001	41

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))))

simplify175.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-2`
958×	`rational.json-simplify-43`
792×	`rational.json-simplify-50`
756×	`rational.json-simplify-47`
736×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	1242
1	89	1086
2	144	1086
3	359	1086
4	1015	1086
5	3000	1086
6	6074	1086

Stop Event

1×	node limit

Counts

26 → 20

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)))))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(-.f64 0 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (-.f64 1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 x) 2)))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 0 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (/.f64 (PI.f64) 2) (+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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)))))
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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)))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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)))))

localize876.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
✓	0.1b	(/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	7.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 331 to 282 computations (14.8% saved)

series160.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
154.0ms	x	@	-inf	(/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
2.0ms	x	@	0	(/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
2.0ms	x	@	inf	(/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
1.0ms	x	@	0	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
0.0ms	x	@	inf	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))

rewrite299.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`rational.json-simplify-55`
878×	`rational.json-5`
876×	`exponential.json-3`
876×	`rational.json-1`
876×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	462
1	173	462
2	530	180
3	1998	180

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

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

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

Outputs

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((x *.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 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(/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2)))))))) (*.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))))

simplify479.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-54`
1096×	`rational.json-simplify-111`
780×	`rational.json-simplify-41`
704×	`rational.json-simplify-55`
590×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	3169
1	126	3169
2	212	3169
3	684	3169
4	3076	3169
5	6701	3169

Stop Event

1×	node limit

Counts

47 → 33

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 3))
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 3))
(-.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)))))))
(+.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) 0)
(+.f64 0 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(-.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) 0)
(.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) 1)
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) 1))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))
(pow.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) 1)
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(-.f64 0 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))

Outputs
(/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 3))
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(.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))
(/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(pow.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) 1)
(/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 0 (-.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 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)
(-.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 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 0 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (/.f64 (PI.f64) 2) (+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

eval5.8s (12.7%)

Compiler: Compiled 73191 to 63322 computations (13.5% saved)

prune739.0ms (1.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	980	16	996
Fresh	1	3	4
Picked	1	0	1
Done	2	3	5
Total	984	22	1006

Error

57.6b

Counts

1006 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.7b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
▶	58.7b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
	61.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1))))
▶	59.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.2b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	58.7b	(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (.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 (-.f64 1 x) 2)))))))
	59.6b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))))) (.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 (-.f64 1 x) 2)))))))
▶	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
	61.9b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))) (.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 (-.f64 1 x) 2)))))))
▶	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 3)))
	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))

Compiler

Compiled 3546 to 3116 computations (12.1% saved)

localize353.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))
✓	1.0b	(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	6.8b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))

Compiler

Compiled 131 to 113 computations (13.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite213.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`rational.json-5`
904×	`exponential.json-3`
904×	`rational.json-1`
904×	`rational.json-2`
904×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	159
1	180	159
2	549	159
3	2042	159
4	7941	159

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 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1/2))) 2))) (/.f64 (PI.f64) 2))) (*.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))) (*.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (/.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))) (/.f64 1 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (/.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)) (/.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)) 1)))))

simplify291.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1426×	`rational.json-simplify-2`
1022×	`rational.json-simplify-111`
1014×	`rational.json-simplify-54`
916×	`rational.json-simplify-50`
874×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	3170
1	161	3034
2	436	2966
3	2066	2966
4	5449	2966

Stop Event

1×	node limit

Counts

72 → 48

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)))))
(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)))))
(+.f64 1 (-.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))
(+.f64 (-.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))))
(.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))
(.f64 (.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))
(/.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(neg.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)))
(+.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 0)
(+.f64 0 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))
(-.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 0)
(.f64 1 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))
(.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 1)
(.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (/.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (/.f64 1 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) 1))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))))
(/.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (/.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 1)
(+.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) 0)
(+.f64 0 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))
(-.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) 0)
(/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) 1)
(/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) (/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))
(pow.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) 1)

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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
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(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
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(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
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(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
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(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
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(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
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(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
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(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))
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(-.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 2 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
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(+.f64 1 (-.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))) (/.f64 (PI.f64) 2))))
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(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
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(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))))
(+.f64 1 (-.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))) (/.f64 (PI.f64) 2))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) 1)
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(/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) (/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2))
(pow.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)) 1)
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2))

localize157.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.0b	(asin.f64 (sqrt.f64 1/2))
✓	61.8b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))

Compiler

Compiled 47 to 45 computations (4.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite124.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`rational.json-simplify-2`
628×	`rational.json-simplify-49`
616×	`rational.json-simplify-58`
608×	`rational.json-simplify-47`
550×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	124	29
2	365	29
3	1250	29
4	4443	29

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 -1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))))

simplify274.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational.json-simplify-2`
1078×	`rational.json-simplify-104`
1000×	`rational.json-simplify-54`
714×	`rational.json-simplify-111`
612×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	943
1	91	759
2	194	667
3	578	667
4	2140	667
5	5107	667

Stop Event

1×	node limit

Counts

23 → 24

Calls

Call 1

Inputs
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(.f64 -1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 -1 (-.f64 -1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))

Outputs
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 0)
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) 1)
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 -1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))) (/.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 -1 (-.f64 -1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

localize357.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
✓	1.0b	(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	1.0b	(asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
✓	6.8b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))

Compiler

Compiled 148 to 125 computations (15.5% saved)

series9.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite196.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational.json-simplify-47`
756×	`rational.json-5`
754×	`exponential.json-3`
754×	`rational.json-1`
754×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	208
1	155	208
2	473	116
3	1772	116
4	6598	116

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

Outputs
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simplify134.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-49`
1258×	`rational.json-simplify-54`
942×	`rational.json-simplify-50`
684×	`rational.json-simplify-104`
556×	`rational.json-simplify-76`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4329
1	449	4193
2	963	4125
3	3072	4125

Stop Event

1×	node limit

Counts

123 → 115

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))
(asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (*.f64 -1 x))))))
(/.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (+.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (+.f64 (.f64 5/16 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (+.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2))))))
1/4
(+.f64 (*.f64 -1/2 x) 1/4)
(+.f64 (.f64 -1/2 x) (+.f64 1/4 (.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1/4 (.f64 1/4 (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 -1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (+.f64 1/4 (.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1/4 (.f64 1/4 (pow.f64 x 2))))
(*.f64 1/4 (pow.f64 x 2))
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(+.f64 (.f64 -1/2 x) (+.f64 1/4 (.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1/4 (.f64 1/4 (pow.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(*.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 0)
(+.f64 0 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))
(-.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) 1)
(/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 1)
(/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))
(pow.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (-.f64 1 x) 2)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (neg.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (neg.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (-.f64 1 x) 2)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (/.f64 (-.f64 1 x) 2)))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (-.f64 1 x) 2))))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (neg.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (.f64 2 (/.f64 (-.f64 1 x) 2)) (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))))))
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(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 0 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 0)
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(+.f64 0 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(-.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 0)
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(-.f64 0 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) 1)
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 1)
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(pow.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) 1)
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (neg.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (neg.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (fabs.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) (neg.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (.f64 2 (/.f64 (-.f64 1 x) 2)) (*.f64 (fabs.f64 (/.f64 (-.f64 1 x) 2)) 2))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (/.f64 (.f64 2 (/.f64 (-.f64 1 x) 2)) (*.f64 2 (fabs.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))

localize407.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	7.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	59.7b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))

Compiler

Compiled 217 to 190 computations (12.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite169.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`rational.json-simplify-47`
936×	`rational.json-simplify-49`
720×	`rational.json-5`
718×	`exponential.json-3`
718×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	173	62
2	498	62
3	1650	62
4	6163	62

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 (-.f64 1 x) 2)))))) (*.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

simplify155.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational.json-simplify-49`
1038×	`rational.json-simplify-111`
928×	`rational.json-simplify-44`
798×	`rational.json-simplify-2`
778×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1903
1	156	1903
2	424	1903
3	1447	1903
4	4800	1903

Stop Event

1×	node limit

Counts

63 → 48

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)))))
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(+.f64 -1 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 1 (+.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)
(+.f64 (+.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(+.f64 0 (-.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 1 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.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 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 1 (-.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.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 (-.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 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 1))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 -1 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 1 (+.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (+.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

localize459.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	7.1b	(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
	7.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 324 to 276 computations (14.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite120.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`rational.json-simplify-49`
904×	`rational.json-simplify-47`
654×	`rational.json-simplify-50`
606×	`rational.json-5`
604×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	130	41
2	384	41
3	1424	41
4	5275	41

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) (/.f64 (-.f64 (*.f64 1/2 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simplify288.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-2`
1262×	`rational.json-simplify-50`
1022×	`rational.json-simplify-58`
1006×	`rational.json-simplify-43`
910×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1435
1	130	1435
2	320	1435
3	1770	1435
4	4848	1435
5	7486	1435

Stop Event

1×	node limit

Counts

35 → 26

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)))))))
(+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) -1)))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 0)
(+.f64 0 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) -1)) 1)
(.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))
(.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) 1)
(.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (.f64 1/2 (PI.f64))) -1)
(.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))
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(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))))
(/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 1)
(/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))
(/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))) -1)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 1)
(neg.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))

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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) -1)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 0)
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(+.f64 0 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) -1)) 1)
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) 1)
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (.f64 1/2 (PI.f64))) -1)
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) 1))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (/.f64 (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (/.f64 -1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (-.f64 -1 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) -1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) 1) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 1)
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (/.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))) -1)
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 1)
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(neg.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.f64 1/2 (PI.f64))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))

eval1.3s (2.8%)

Compiler: Compiled 43613 to 38019 computations (12.8% saved)

prune638.0ms (1.4%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	674	8	682
Fresh	2	12	14
Picked	0	1	1
Done	2	5	7
Total	678	26	704

Error

57.6b

Counts

704 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	60.7b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
▶	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
✓	58.7b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
▶	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
▶	61.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.2b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	58.7b	(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
	61.9b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (.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 (-.f64 1 x) 2)))))))
	59.6b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))))) (.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 (-.f64 1 x) 2)))))))
	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
▶	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
	61.9b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)) (.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 (-.f64 1 x) 2)))))))
▶	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))) (.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 (-.f64 1 x) 2)))))))
✓	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 3)))
	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) 3)))
	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))))))) 3)))
	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))

Compiler

Compiled 4980 to 4361 computations (12.4% saved)

localize1.4s (3.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	7.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	59.7b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))

Compiler

Compiled 1200 to 1033 computations (13.9% saved)

series8.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite245.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`rational.json-simplify-55`
830×	`rational.json-5`
828×	`exponential.json-3`
828×	`rational.json-1`
828×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	363
1	159	363
2	498	363
3	1848	363

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.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 (-.f64 1 x) 2))))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (*.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 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 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2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))) (-.f64 0 (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))))))

simplify751.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-2`
1152×	`rational.json-simplify-104`
1076×	`rational.json-simplify-43`
1004×	`rational.json-simplify-76`
952×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	30271
1	549	30271
2	1125	30271
3	2963	30271
4	5622	30271

Stop Event

1×	node limit

Counts

93 → 95

Calls

Call 1

Inputs
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(+.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) 0)
(+.f64 0 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))
(-.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) 0)
(/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) 1)
(/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.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 (-.f64 1 x) 2)))))))
(pow.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) 1)
(fabs.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))
(fabs.f64 (neg.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (neg.f64 (/.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 (-.f64 1 x) 2)))))))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (fabs.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 (-.f64 1 x) 2)))))))
(fabs.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))))
(fabs.f64 (-.f64 0 (neg.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))
(fabs.f64 (.f64 (neg.f64 (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(fabs.f64 (.f64 (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(fabs.f64 (.f64 (/.f64 (.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 (-.f64 1 x) 2)))))) (neg.f64 (/.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (neg.f64 (.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 (-.f64 1 x) 2))))))))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (neg.f64 (.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 (-.f64 1 x) 2))))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))))
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(fabs.f64 (.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))))))
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(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (neg.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.f64 (/.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 (-.f64 1 x) 2)))))) (/.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 (-.f64 1 x) 2)))))))))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (neg.f64 (.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 (-.f64 1 x) 2)))))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (-.f64 0 (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))

Outputs
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 8)
(pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))) 8)
(+.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) 0)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(+.f64 0 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (neg.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (neg.f64 (/.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (fabs.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 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (.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 (-.f64 1 x) 2)))))) (neg.f64 (/.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (neg.f64 (.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (neg.f64 (.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 (-.f64 1 x) 2))))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (neg.f64 (.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 (-.f64 1 x) 2)))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2))))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (neg.f64 (.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2))))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))))
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(fabs.f64 (.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (neg.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (fabs.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.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 (-.f64 1 x) 2)))))) (fabs.f64 (/.f64 (/.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 (-.f64 1 x) 2)))))) (/.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 (-.f64 1 x) 2)))))))))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (fabs.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
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(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (/.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 (-.f64 1 x) 2))))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (/.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 (-.f64 1 x) 2))))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))) (fabs.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))) (fabs.f64 (/.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 (-.f64 1 x) 2)))))))) (/.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 (-.f64 1 x) 2))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (-.f64 0 (fabs.f64 (/.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 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))

localize65.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1)
✓	1.0b	(asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))
✓	61.8b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))))

Compiler

Compiled 65 to 63 computations (3.1% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite156.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`rational.json-simplify-49`
750×	`rational.json-simplify-47`
718×	`rational.json-simplify-54`
674×	`rational.json-simplify-58`
562×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	156	43
2	423	43
3	1363	43
4	4820	43

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))))
(asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 -1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 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(/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) 1) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -1 (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 2 (sqrt.f64 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 1/2)))))

simplify225.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational.json-simplify-49`
1088×	`rational.json-simplify-2`
1082×	`rational.json-simplify-54`
924×	`rational.json-simplify-50`
914×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1084
1	229	1084
2	641	1084
3	2081	1084
4	6595	1084

Stop Event

1×	node limit

Counts

66 → 68

Calls

Call 1

Inputs
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) -1)))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 0)
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) -1)) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) 1))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 -1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) -1))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (/.f64 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) 1) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
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(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
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(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
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(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
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(+.f64 1 (+.f64 -1 (sqrt.f64 1/2)))
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(*.f64 -1 (neg.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) 1)
(*.f64 1 (sqrt.f64 1/2))
(*.f64 (neg.f64 (sqrt.f64 1/2)) -1)
(.f64 1/2 (.f64 2 (sqrt.f64 1/2)))
(*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))
(*.f64 1/2 (/.f64 -1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2)
(*.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2))
(.f64 1/4 (/.f64 (.f64 2 (sqrt.f64 1/2)) 1/2))
(*.f64 1/4 (/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 1/2))) 1/2))
(*.f64 1/16 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2) 1/4))
(/.f64 (sqrt.f64 1/2) 1)
(/.f64 (neg.f64 (sqrt.f64 1/2)) -1)
(pow.f64 (sqrt.f64 1/2) 1)
(neg.f64 (neg.f64 (sqrt.f64 1/2)))
(sqrt.f64 1/2)

Outputs
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) -1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 0)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) -1)) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) 1))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (/.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (-.f64 -1 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) -1))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (/.f64 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) 1) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))))) (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2)))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 0 (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 1/2)))) 1)
(asin.f64 (sqrt.f64 1/2))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) 1))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) 1) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(pow.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(+.f64 0 (sqrt.f64 1/2))
(sqrt.f64 1/2)
(+.f64 -1 (+.f64 (sqrt.f64 1/2) 1))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(+.f64 (+.f64 (sqrt.f64 1/2) 1) -1)
(sqrt.f64 1/2)
(+.f64 1 (+.f64 -1 (sqrt.f64 1/2)))
(sqrt.f64 1/2)
(+.f64 (+.f64 -1 (sqrt.f64 1/2)) 1)
(sqrt.f64 1/2)
(*.f64 -1 (neg.f64 (sqrt.f64 1/2)))
(sqrt.f64 1/2)
(*.f64 (sqrt.f64 1/2) 1)
(sqrt.f64 1/2)
(*.f64 1 (sqrt.f64 1/2))
(sqrt.f64 1/2)
(*.f64 (neg.f64 (sqrt.f64 1/2)) -1)
(sqrt.f64 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 1/2)))
(sqrt.f64 1/2)
(*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))
(*.f64 1/2 (/.f64 -1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2)
(*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))
(*.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2))
(.f64 1/4 (/.f64 (.f64 2 (sqrt.f64 1/2)) 1/2))
(*.f64 1/4 (/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 1/2))) 1/2))
(*.f64 1/16 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) 1/2) 1/4))
(/.f64 (sqrt.f64 1/2) 1)
(sqrt.f64 1/2)
(/.f64 (neg.f64 (sqrt.f64 1/2)) -1)
(sqrt.f64 1/2)
(pow.f64 (sqrt.f64 1/2) 1)
(sqrt.f64 1/2)
(neg.f64 (neg.f64 (sqrt.f64 1/2)))
(sqrt.f64 1/2)
(sqrt.f64 1/2)

localize312.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
	1.0b	(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	59.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))

Compiler

Compiled 190 to 169 computations (11.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))

0.0ms

inf

(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))

0.0ms

-inf

(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))

rewrite275.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`rational.json-5`
1018×	`exponential.json-3`
1018×	`rational.json-1`
1018×	`rational.json-2`
1018×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	91
1	232	79
2	676	79
3	2345	79

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))) (*.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 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(*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 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simplify300.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational.json-simplify-2`
1006×	`rational.json-simplify-43`
864×	`rational.json-simplify-111`
782×	`rational.json-simplify-54`
730×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1756
1	103	1756
2	155	1756
3	366	1756
4	1848	1756
5	4083	1756
6	6739	1756

Stop Event

1×	node limit

Counts

28 → 21

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)))))))
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 0)
(+.f64 (-.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))
(.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))
(/.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(neg.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 0)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(+.f64 (-.f64 -1 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))) 1)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) 1))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (/.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2)))) 1)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(neg.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 2) (*.f64 2 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

localize275.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	1.0b	(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	59.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))

Compiler

Compiled 311 to 270 computations (13.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`rational.json-simplify-55`
908×	`rational.json-5`
906×	`exponential.json-3`
906×	`rational.json-1`
906×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	459
1	175	459
2	547	135
3	2097	135

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.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 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.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 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

simplify212.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational.json-simplify-47`
1186×	`rational.json-simplify-49`
1016×	`rational.json-simplify-2`
832×	`rational.json-simplify-50`
714×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	2268
1	122	2268
2	318	2268
3	1516	2268
4	5921	2268

Stop Event

1×	node limit

Counts

64 → 42

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)))))))
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(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)))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (-.f64 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)
(.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(+.f64 0 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(pow.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.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 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))))
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x))))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))) 3)
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 0 (-.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 -1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 1 (-.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.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 (-.f64 1 x) 2)))))) (/.f64 1 (-.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 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (.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 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.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 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) -1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(neg.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 0 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(pow.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 0)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

localize345.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))
	0.1b	(/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	7.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 561 to 480 computations (14.4% saved)

eval16.8s (36.7%)

Compiler: Compiled 366221 to 316467 computations (13.6% saved)

prune986.0ms (2.2%)

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	1886	12	1898
Fresh	3	12	15
Picked	0	1	1
Done	4	6	10
Total	1893	31	1924

Error

57.6b

Counts

1924 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	60.7b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
✓	58.7b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
	59.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 3)) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
	61.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 (sqrt.f64 1/2) 1) -1))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.2b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	58.7b	(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
	61.9b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (.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 (-.f64 1 x) 2)))))))
	59.6b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))))))) (.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 (-.f64 1 x) 2)))))))
	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1))) (.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 8) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
	58.7b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
	61.9b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)) (.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 (-.f64 1 x) 2)))))))
✓	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 3)))) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))))) (.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 (-.f64 1 x) 2)))))))
	59.4b	(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))) (.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 (-.f64 1 x) 2)))))))
	61.9b	(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (.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 (-.f64 1 x) 2)))))))
✓	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 3)))
	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) 3)))
	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 1 (pow.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))) (.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x)))))))))) 3)))
	59.4b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))

Compiler

Compiled 3883 to 3392 computations (12.6% saved)

regimes188.0ms (0.4%)

Counts

46 → 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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 (sqrt.f64 1/2) 1) -1))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)) (.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 (-.f64 1 x) 2)))))))
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(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))
(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))
(.f64 (/.f64 1 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2)))))))))))) (.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 (-.f64 1 x) 2)))))))
(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (-.f64 0 (-.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2)))))))))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.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 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.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 (-.f64 1 x) 2))))))))))))

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

Calls

7 calls:

26.0ms	x
7.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
7.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
6.0ms	(/.f64 (-.f64 1 x) 2)
6.0ms	(-.f64 1 x)

Results

Error	Segments	Branch
58.7b	1	`x`
58.7b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.7b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.7b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.7b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.7b	1	`(/.f64 (-.f64 1 x) 2)`
58.7b	1	`(-.f64 1 x)`

Compiler

Compiled 5342 to 4621 computations (13.5% saved)

regimes36.0ms (0.1%)

Counts

10 → 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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 (sqrt.f64 1/2) 1) -1))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 1))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (sqrt.f64 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))

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

Calls

7 calls:

7.0ms	x
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
3.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Error	Segments	Branch
58.7b	1	`x`
58.7b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.7b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.7b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.7b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.7b	1	`(/.f64 (-.f64 1 x) 2)`
58.7b	1	`(-.f64 1 x)`

Compiler

Compiled 214 to 190 computations (11.2% saved)

regimes27.0ms (0.1%)

Counts

5 → 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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (+.f64 (+.f64 (sqrt.f64 1/2) 1) -1))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (+.f64 1 (asin.f64 (sqrt.f64 1/2))) 1)))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 1/2))) 1))))

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

Calls

7 calls:

9.0ms	x
3.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Error	Segments	Branch
58.4b	2	`x`
59.4b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
59.4b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
59.4b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
59.4b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
59.4b	1	`(/.f64 (-.f64 1 x) 2)`
59.4b	1	`(-.f64 1 x)`

Compiler

Compiled 115 to 103 computations (10.4% saved)

bsearch75.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	-1.2066252353681888e-160	-6.955275620397344e-170

Results

72.0ms

144×

body

1024

valid

Compiler

Compiled 288 to 277 computations (3.8% saved)

regimes20.0ms (0%)

Accuracy

Total -3.1b remaining (-5.2%)

Threshold costs -3.1b (-5.2%)

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

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

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

Calls

7 calls:

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

Results

Error	Segments	Branch
59.4b	1	`x`
59.4b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
59.4b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
59.4b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
59.4b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
59.4b	1	`(/.f64 (-.f64 1 x) 2)`
59.4b	1	`(-.f64 1 x)`

Compiler

Compiled 87 to 77 computations (11.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	293

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.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 1 (asin.f64 (sqrt.f64 1/2))) 1))))
(-.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 1/2))))

Outputs
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)) 1)
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.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 1 (asin.f64 (sqrt.f64 1/2))) 1))))
(-.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 1/2))))

Compiler

Compiled 99 to 92 computations (7.1% saved)

soundness0.0ms (0%)

end66.0ms (0.1%)

Compiler: Compiled 95 to 84 computations (11.6% saved)