Details

analyze5.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample5.4s (22.2%)

Results

3.3s	4154×	body	1024	valid
979.0ms	2025×	body	512	valid
702.0ms	1644×	body	256	valid
397.0ms	433×	body	2048	valid
0.0ms	3×	body	256	invalid

Bogosity

preprocess5.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-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)

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-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)

prune1.0ms (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)

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.5b	(-.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)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite160.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`rational_best-5`
706×	`rational_best-2`
706×	`rational_best-3`
706×	`rational_best-1`
704×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	119	79
2	384	79
3	1598	79
4	6732	79

Stop Event

1×	node limit

Counts

3 → 75

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

simplify402.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational_best-simplify-129`
838×	`rational_best-simplify-80`
794×	`rational_best-simplify-24`
748×	`rational_best-simplify-78`
738×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	3973
1	326	3937
2	927	3937
3	3033	3873
4	7518	3873

Stop Event

1×	node limit

Counts

103 → 107

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 (PI.f64) (-.f64 0 (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(+.f64 (/.f64 (PI.f64) 2) (neg.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (/.f64 (PI.f64) 2) (-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.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))))) 0)
(+.f64 0 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (neg.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))))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))
(+.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (+.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)))) (neg.f64 (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 (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) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (/.f64 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))))
(.f64 (/.f64 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4))) (-.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 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 (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 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) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (/.f64 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4))) (/.f64 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4))))))
(.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) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.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 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))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (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 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (-.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4))))
(/.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) -2)) -1)
(/.f64 (-.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) 2)
(/.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4) (PI.f64)) -2)
(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 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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.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))) (/.f64 1 (/.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))) (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))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (/.f64 1 (/.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 (/.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 (/.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 (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)))))
(.f64 (/.f64 (.f64 (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))) (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 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 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 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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.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)) (/.f64 1 (/.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 (/.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 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.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 (/.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 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (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 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 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 (.f64 x -1)) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 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 (.f64 x -1)) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 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 (.f64 x -1)) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 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 (.f64 x -1)) 1/2)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 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 (.f64 x -1)) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 x -1)) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 x -1)) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 x -1)) 1/2)))
(asin.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (neg.f64 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 -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 -1/2 x)) (.f64 (sqrt.f64 1/2) (.f64 -1/8 (pow.f64 x 2)))))
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(.f64 (/.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)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 (.f64 (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))) (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 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) 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 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 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (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)) (/.f64 1 (/.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 (/.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 1 x) 2))) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.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 (/.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 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (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 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 2 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 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))

eval71.0ms (0.3%)

Compiler: Compiled 2867 to 2466 computations (14% saved)

prune31.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	7	108

Error

57.4b

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (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))))))
▶	59.3b	(-.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)))))
▶	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	58.4b	(+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	59.4b	(.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 (PI.f64) 2) (.f64 2 (asin.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 478 to 425 computations (11.1% saved)

localize132.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	0.0b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.6b	(+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

Compiler

Compiled 81 to 67 computations (17.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite139.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`rational_best-simplify-44`
796×	`rational_best-5`
796×	`rational_best-2`
796×	`rational_best-3`
796×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	94
1	141	94
2	450	94
3	1807	94
4	7633	94

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.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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(-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (PI.f64) (neg.f64 (+.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 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (/.f64 (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (+.f64 (PI.f64) (neg.f64 (+.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) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (+.f64 (PI.f64) (neg.f64 (+.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 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (.f64 (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (+.f64 (PI.f64) (neg.f64 (+.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) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (/.f64 1 (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify265.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational_best-simplify-80`
1342×	`rational_best-simplify-24`
1324×	`rational_best-simplify-78`
1272×	`rational_best-simplify-94`
1028×	`rational_best-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	3172
1	195	3156
2	916	3156
3	4190	3156
4	7766	3156

Stop Event

1×	node limit

Counts

68 → 58

Calls

Call 1

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

localize20.0ms (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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`rational_best-simplify-47`
902×	`rational_best-4`
902×	`rational_best-2`
902×	`rational_best-3`
902×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	42	9
2	137	9
3	541	9
4	1961	9

Stop Event

1×	node limit

Counts

1 → 35

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

simplify190.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational_best-simplify-54`
890×	`rational_best-simplify-2`
838×	`rational_best-simplify-49`
600×	`rational_best-simplify-129`
598×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	315
1	128	315
2	871	315
3	3089	315
4	5904	315

Stop Event

1×	node limit

Counts

35 → 36

Calls

Call 1

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

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))
✓	0.9b	(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)))))
✓	1.0b	(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.3b	(-.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)

series42.0ms (0.2%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	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)))
0.0ms	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)))))))
0.0ms	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)))))))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational_best-5`
880×	`rational_best-2`
880×	`rational_best-3`
880×	`rational_best-1`
878×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	208
1	153	208
2	496	116
3	2104	116

Stop Event

1×	node limit

Counts

4 → 112

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) 2) (neg.f64 (.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.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) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 0 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))))) (#(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 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simplify380.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational_best-simplify-80`
1780×	`rational_best-simplify-78`
1210×	`rational_best-simplify-2`
928×	`rational_best-simplify-135`
848×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	293	5902
1	593	5792
2	1564	5784
3	4929	5766

Stop Event

1×	node limit

Counts

152 → 155

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))))))))
(/.f64 1 (sqrt.f64 1/2))
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(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))))))
1/4
(+.f64 (*.f64 -1/2 x) 1/4)
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(+.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))
(+.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 (/.f64 (PI.f64) 2) (neg.f64 (*.f64 2 (asin.f64 (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)
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(+.f64 (neg.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 0 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))
(.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)
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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 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 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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.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))))))
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(fabs.f64 (.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 1 (/.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 1 (.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 1 (.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 1 (.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 1 (.f64 (/.f64 1 (.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 1 (.f64 (/.f64 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 (-.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 1 (.f64 (/.f64 1 (.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2))) (.f64 (neg.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))))))))

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

localize282.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
✓	0.0b	(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (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))))))

Compiler

Compiled 138 to 119 computations (13.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite166.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`rational_best-simplify-47`
884×	`rational_best-5`
884×	`rational_best-2`
884×	`rational_best-3`
884×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	179
1	149	121
2	499	121
3	2035	121

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

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

Outputs

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

simplify535.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational_best-simplify-2`
916×	`rational_best-simplify-43`
820×	`rational_best-simplify-78`
592×	`rational_best-simplify-1`
564×	`rational_best-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	5546
1	305	5530
2	834	5346
3	2094	5346
4	5130	5346

Stop Event

1×	node limit

Counts

104 → 108

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

localize169.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
✓	0.0b	(.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)))))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	5.5b	(-.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)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite223.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational_best-simplify-47`
976×	`rational_best-5`
976×	`rational_best-2`
976×	`rational_best-3`
976×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	128
1	150	128
2	490	128
3	2096	128

Stop Event

1×	node limit

Counts

2 → 66

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 (PI.f64) 2) (*.f64 2 (asin.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 (PI.f64) 2) (neg.f64 (*.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 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.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) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 0 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))))) (#(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 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))))) (#(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 2 (/.f64 (PI.f64) 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))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4))))) (#(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 (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))))))))))) (#(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 2 (/.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) 2) -2)))) (#(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 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.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 (PI.f64) 2) (*.f64 2 (asin.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 (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 (/.f64 (PI.f64) 2) (*.f64 2 (asin.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 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 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fabs.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (fabs.f64 (/.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 fabs.f64 (*.f64 (fabs.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))))) (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))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 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simplify273.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

934×	`rational_best-simplify-132`
726×	`rational_best-simplify-44`
680×	`rational_best-simplify-129`
594×	`rational_best-simplify-43`
586×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	7866
1	429	7786
2	865	7782
3	2867	7466
4	6354	7466

Stop Event

1×	node limit

Counts

90 → 108

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

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

eval1.6s (6.6%)

Compiler: Compiled 38900 to 33709 computations (13.3% saved)

prune213.0ms (0.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	818	12	830
Fresh	1	0	1
Picked	1	0	1
Done	2	3	5
Total	822	15	837

Error

57.4b

Counts

837 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	59.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 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))))))) (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 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
	59.3b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	58.4b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	60.5b	(+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
	59.4b	(.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
▶	61.8b	(.f64 (/.f64 1 (-.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 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)))))) (fabs.f64 (.f64 (.f64 (/.f64 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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))))))))
▶	59.4b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	59.5b	(.f64 (/.f64 1 (+.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 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)))))))

Compiler

Compiled 1472 to 1302 computations (11.5% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (-.f64 1 x) 1/2))
✓	0.0b	(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2))
✓	0.9b	(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
✓	5.6b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 67 to 55 computations (17.9% saved)

series2.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite147.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational_best-simplify-44`
752×	`rational_best-5`
752×	`rational_best-2`
752×	`rational_best-3`
752×	`rational_best-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	137	128
2	427	128
3	1784	128
4	7447	120

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2) (-.f64 0 (+.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 2 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 2 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2)))) (+.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (/.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (.f64 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(PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))) (.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))) (/.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) (/.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 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simplify237.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational_best-simplify-132`
984×	`rational_best-simplify-44`
598×	`rational_best-simplify-49`
594×	`rational_best-simplify-57`
566×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	219	5416
1	429	5360
2	1809	5348
3	3427	5044
4	6713	5036

Stop Event

1×	node limit

Counts

138 → 147

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 48 to 43 computations (10.4% saved)

localize95.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.5b	(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
	5.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 156 to 132 computations (15.4% 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)))))

rewrite118.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`rational_best-simplify-44`
694×	`rational_best-5`
694×	`rational_best-2`
694×	`rational_best-3`
694×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	128	41
2	399	41
3	1664	41
4	6932	41

Stop Event

1×	node limit

Counts

1 → 31

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

simplify204.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

894×	`rational_best-simplify-80`
880×	`rational_best-simplify-24`
880×	`rational_best-simplify-132`
730×	`rational_best-simplify-78`
638×	`rational_best-simplify-94`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	87	2543
1	153	2535
2	253	2535
3	482	2535
4	1070	2535
5	3138	2523
6	7275	2523

Stop Event

1×	node limit

Counts

43 → 44

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

localize111.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.4b	(+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	5.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 189 to 160 computations (15.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`rational_best-5`
1092×	`rational_best-2`
1092×	`rational_best-3`
1092×	`rational_best-1`
1090×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	228
1	176	228
2	578	228
3	2389	228

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

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

(*.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.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 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 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 *.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (-.f64 (/.f64 (PI.f64) 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 *.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 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 *.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (/.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (-.f64 (/.f64 (PI.f64) 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 *.f64 (/.f64 1 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simplify204.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

922×	`rational_best-simplify-78`
804×	`rational_best-simplify-2`
650×	`rational_best-simplify-24`
646×	`rational_best-simplify-41`
642×	`rational_best-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	3290
1	137	3274
2	487	3274
3	1286	3274
4	3033	3274
5	5356	3274

Stop Event

1×	node limit

Counts

48 → 32

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

localize163.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (-.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.3b	(-.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)))))))
	5.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 279 to 241 computations (13.6% 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 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)))))))
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)))))))
0.0ms	x	@	inf	(.f64 (/.f64 1 (-.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 1 (-.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`rational_best-5`
1250×	`rational_best-2`
1250×	`rational_best-3`
1250×	`rational_best-1`
1248×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	82
1	200	82
2	622	82
3	2616	82

Stop Event

1×	node limit

Counts

2 → 71

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

simplify413.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1656×	`rational_best-simplify-54`
1274×	`rational_best-simplify-2`
938×	`rational_best-simplify-44`
914×	`rational_best-simplify-80`
874×	`rational_best-simplify-129`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	4731
1	246	4467
2	1339	4467
3	4516	4387
4	7880	4387

Stop Event

1×	node limit

Counts

95 → 67

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

eval3.0s (12.3%)

Compiler: Compiled 49369 to 42711 computations (13.5% saved)

prune565.0ms (2.3%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	841	12	853
Fresh	4	3	7
Picked	1	0	1
Done	2	5	7
Total	848	20	868

Error

57.3b

Counts

868 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (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))))))
▶	59.3b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	58.4b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	60.5b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 1/2)))
	59.4b	(.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
▶	61.8b	(.f64 (/.f64 1 (-.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)))))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 2))
	61.7b	(.f64 (/.f64 1 (-.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 (/.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 (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)))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 2))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (pow.f64 (.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)))) (.f64 (.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2))) (.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2))))) 2))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (pow.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)))) 2))
▶	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (.f64 (.f64 (/.f64 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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))))))))
	59.4b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 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)))))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 (PI.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)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 (PI.f64) 2) (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2))
	59.5b	(.f64 (/.f64 1 (+.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2))
	59.4b	(.f64 (/.f64 1 (.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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.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)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 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 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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 2554 to 2249 computations (11.9% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
✓	0.9b	(asin.f64 (.f64 (sqrt.f64 (-.f64 1 x)) (.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))
✓	1.0b	(/.f64 1 (sqrt.f64 1/2))
✓	5.3b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))))

Compiler

Compiled 83 to 74 computations (10.8% saved)

series2.0ms (0%)

Counts

4 → 28

Calls

9 calls:

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

rewrite136.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational_best-2`
840×	`rational_best-3`
840×	`rational_best-1`
838×	`rational_best-4`
838×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	138
1	154	138
2	492	102
3	2064	90
4	7331	90

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) 2) (neg.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) 2) (-.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (/.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (/.f64 (PI.f64) 2)) (-.f64 0 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 4)) (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 2) (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (neg.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 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simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational_best-simplify-2`
928×	`rational_best-simplify-132`
702×	`rational_best-simplify-44`
656×	`rational_best-simplify-24`
642×	`rational_best-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	187	3869
1	353	3751
2	1272	3751
3	3187	3751
4	6528	3751

Stop Event

1×	node limit

Counts

113 → 118

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

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

localize30.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize174.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	5.3b	(-.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)))))))
	5.5b	(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))

Compiler

Compiled 277 to 239 computations (13.7% saved)

localize168.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.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)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.4b	(+.f64 (-.f64 (/.f64 (PI.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)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	5.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 310 to 267 computations (13.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best-5`
1432×	`rational_best-2`
1432×	`rational_best-3`
1432×	`rational_best-1`
1430×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	228
1	208	228
2	693	228
3	3002	228

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

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

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

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

simplify332.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

798×	`rational_best-simplify-2`
686×	`rational_best-simplify-78`
650×	`rational_best-simplify-24`
646×	`rational_best-simplify-41`
642×	`rational_best-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	3290
1	132	3274
2	501	3274
3	1301	3274
4	3057	3274
5	5427	3274

Stop Event

1×	node limit

Counts

48 → 33

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

localize566.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (.f64 (.f64 (/.f64 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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))))))))
✓	0.1b	(.f64 (/.f64 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)))))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	5.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 490 to 421 computations (14.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational_best-5`
1462×	`rational_best-2`
1462×	`rational_best-3`
1462×	`rational_best-1`
1460×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	442
1	195	438
2	650	340
3	3019	340

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

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

Outputs

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

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simplify284.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational_best-simplify-132`
1188×	`rational_best-simplify-80`
1104×	`rational_best-simplify-78`
816×	`rational_best-simplify-54`
592×	`rational_best-simplify-129`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	4720
1	135	4672
2	241	4672
3	534	4630
4	2932	3938
5	7669	3938

Stop Event

1×	node limit

Counts

42 → 37

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

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

eval3.6s (14.8%)

Compiler: Compiled 104160 to 90515 computations (13.1% saved)

prune532.0ms (2.2%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	1192	7	1199
Fresh	3	7	10
Picked	0	1	1
Done	0	9	9
Total	1195	24	1219

Error

57.3b

Counts

1219 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (.f64 (*.f64 (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))))))
	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1/2 (sqrt.f64 1/2)))))
✓	59.3b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
✓	58.4b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	60.5b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 1/2)))
✓	61.8b	(.f64 (/.f64 1 (-.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)))))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 2))
	61.8b	(.f64 (/.f64 1 (-.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)))))))) (pow.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)))) 2))
	61.7b	(.f64 (/.f64 1 (-.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 (/.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 (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)))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 2))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (pow.f64 (.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)))) (.f64 (.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2))) (.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2))))) 2))
	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (pow.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 x))))) (/.f64 (PI.f64) -2)))) 2))
✓	59.4b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (.f64 (.f64 (/.f64 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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))))))))
	59.4b	(.f64 (/.f64 1 (+.f64 (-.f64 (/.f64 (PI.f64) 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)))))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 (PI.f64) 2) (.f64 (/.f64 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 (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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 (PI.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)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 (PI.f64) 2) (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 (PI.f64) 2) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2))
	59.5b	(.f64 (/.f64 1 (+.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2))
	59.4b	(.f64 (/.f64 1 (.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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.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)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 2))
	59.4b	(.f64 (/.f64 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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 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 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))))))))
	59.4b	(.f64 (/.f64 1 (.f64 (/.f64 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 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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))) 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 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))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2))

Compiler

Compiled 1666 to 1471 computations (11.7% saved)

regimes108.0ms (0.4%)

Counts

38 → 1

Calls

Call 1

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

Calls

7 calls:

18.0ms	x
6.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
4.0ms	(-.f64 1 x)
4.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

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

Compiler

Compiled 2779 to 2403 computations (13.5% saved)

regimes42.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

12.0ms	x
6.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms	(-.f64 1 x)

Results

Error	Segments	Branch
57.9b	3	`x`
59.4b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.3b	3	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.3b	3	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.3b	3	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.3b	3	`(/.f64 (-.f64 1 x) 2)`
58.3b	3	`(-.f64 1 x)`

Compiler

Compiled 108 to 94 computations (13% saved)

bsearch168.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7.691486837275684e-18	1.2604661508677522e-15
149.0ms	-1.2781399698653498e-159	-3.4640179162714004e-167

Results

146.0ms	144×	body	1024	valid
17.0ms	112×	body	256	valid

Compiler

Compiled 466 to 432 computations (7.3% saved)

regimes18.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

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

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 85 to 75 computations (11.8% saved)

regimes6.0ms (0%)

Accuracy

Total -2.3b remaining (-3.8%)

Threshold costs -2.3b (-3.8%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
60.2b	2	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch373.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
373.0ms	-7.109574460931048e-305	5.081312194745617e-308

Results

371.0ms

128×

body

2048

valid

Compiler

Compiled 210 to 208 computations (1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	329

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 1/2))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Outputs
(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 1/2))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Compiler

Compiled 111 to 99 computations (10.8% saved)

soundness642.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1398×	`rational_best-simplify-80`
1342×	`rational_best-simplify-24`
1324×	`rational_best-simplify-78`
1272×	`rational_best-simplify-94`
1028×	`rational_best-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	177	3973
1	326	3937
2	927	3937
3	3033	3873
4	7518	3873
0	109	3172
1	195	3156
2	916	3156
3	4190	3156
4	7766	3156

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 81 to 68 computations (16% saved)

end66.0ms (0.3%)

Compiler: Compiled 107 to 91 computations (15% saved)

Details

analyze5.0ms (0%)

sample5.4s (22.2%)

preprocess5.0ms (0%)

simplify104.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize31.0ms (0.1%)

series3.0ms (0%)

rewrite160.0ms (0.7%)

simplify402.0ms (1.7%)

eval71.0ms (0.3%)

prune31.0ms (0.1%)

localize132.0ms (0.5%)

series1.0ms (0%)

rewrite139.0ms (0.6%)

simplify265.0ms (1.1%)

localize20.0ms (0.1%)

series0.0ms (0%)

rewrite63.0ms (0.3%)

simplify190.0ms (0.8%)

localize71.0ms (0.3%)

series42.0ms (0.2%)

rewrite82.0ms (0.3%)

simplify380.0ms (1.6%)

localize282.0ms (1.2%)

series3.0ms (0%)

rewrite166.0ms (0.7%)

simplify535.0ms (2.2%)

localize169.0ms (0.7%)

series2.0ms (0%)

rewrite223.0ms (0.9%)

simplify273.0ms (1.1%)

eval1.6s (6.6%)

prune213.0ms (0.9%)

localize40.0ms (0.2%)

series2.0ms (0%)

rewrite147.0ms (0.6%)

simplify237.0ms (1%)

localize31.0ms (0.1%)

localize95.0ms (0.4%)

series0.0ms (0%)

rewrite118.0ms (0.5%)

simplify204.0ms (0.8%)

localize111.0ms (0.5%)

series1.0ms (0%)

rewrite70.0ms (0.3%)

simplify204.0ms (0.8%)

localize163.0ms (0.7%)

series1.0ms (0%)

rewrite90.0ms (0.4%)

simplify413.0ms (1.7%)

eval3.0s (12.3%)

prune565.0ms (2.3%)

localize48.0ms (0.2%)

series2.0ms (0%)

rewrite136.0ms (0.6%)

simplify210.0ms (0.9%)

localize30.0ms (0.1%)

localize174.0ms (0.7%)

localize168.0ms (0.7%)

series1.0ms (0%)

rewrite74.0ms (0.3%)

simplify332.0ms (1.4%)

localize566.0ms (2.4%)

series5.0ms (0%)

rewrite70.0ms (0.3%)

simplify284.0ms (1.2%)

eval3.6s (14.8%)

prune532.0ms (2.2%)

regimes108.0ms (0.4%)

regimes42.0ms (0.2%)

bsearch168.0ms (0.7%)

regimes18.0ms (0.1%)

regimes6.0ms (0%)

bsearch373.0ms (1.6%)

simplify6.0ms (0%)

soundness642.0ms (2.7%)

end66.0ms (0.3%)

Profiling