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)

sample6.0s (22.8%)

Results

4.2s	4220×	body	1024	valid
893.0ms	2025×	body	512	valid
489.0ms	1584×	body	256	valid
472.0ms	427×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	16	41

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (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

58.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.9b	(-.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)

localize119.0ms (0.4%)

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)))))

rewrite126.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`rational_best.json-2`
706×	`rational_best.json-3`
706×	`rational_best.json-1`
706×	`rational_best.json-5`
704×	`exponential.json-1`

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))))))))

simplify317.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational_best.json-simplify-129`
838×	`rational_best.json-simplify-80`
794×	`rational_best.json-simplify-24`
748×	`rational_best.json-simplify-78`
738×	`rational_best.json-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))

eval155.0ms (0.6%)

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

prune34.0ms (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

57.1b

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.0b	(-.f64 (/.f64 (PI.f64) 2) (.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)))))))))
▶	58.8b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) 2)))))))
✓	58.9b	(-.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))))
▶	58.0b	(+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	58.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
▶	58.9b	(.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 542 to 481 computations (11.3% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite149.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

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
((#(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))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.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 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))))))) 1)))) (#(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 (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 (+.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 (.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))))))))) (+.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 (+.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 (+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.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 (+.f64 (PI.f64) (neg.f64 (+.f64 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simplify533.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational_best.json-simplify-80`
1342×	`rational_best.json-simplify-24`
1324×	`rational_best.json-simplify-78`
1272×	`rational_best.json-simplify-94`
1028×	`rational_best.json-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
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(-.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 (.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 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)))))

localize18.0ms (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

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`rational_best.json-simplify-47`
902×	`rational_best.json-2`
902×	`rational_best.json-3`
902×	`rational_best.json-1`
902×	`exponential.json-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))))))))

simplify187.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational_best.json-simplify-54`
890×	`rational_best.json-simplify-2`
838×	`rational_best.json-simplify-49`
600×	`rational_best.json-simplify-129`
598×	`rational_best.json-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))

localize63.0ms (0.2%)

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

Compiler

Compiled 148 to 125 computations (15.5% saved)

series5.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational_best.json-2`
880×	`rational_best.json-3`
880×	`rational_best.json-1`
880×	`rational_best.json-5`
878×	`exponential.json-1`

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

Outputs
((#(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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simplify177.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational_best.json-simplify-80`
1780×	`rational_best.json-simplify-78`
1206×	`rational_best.json-simplify-2`
926×	`rational_best.json-simplify-135`
848×	`rational_best.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	293	5902
1	593	5792
2	1577	5784
3	4939	5766

Stop Event

1×	node limit

Counts

152 → 153

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

localize69.0ms (0.3%)

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))))))
✓	0.1b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	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)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))))

rewrite259.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

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

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simplify253.0ms (1%)

Algorithm

1×	egg-herbie

Rules

934×	`rational_best.json-simplify-132`
726×	`rational_best.json-simplify-44`
680×	`rational_best.json-simplify-129`
594×	`rational_best.json-simplify-43`
586×	`rational_best.json-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)))))))
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(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)))))) (/.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 1 (-.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 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))))))))))
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(fabs.f64 (-.f64 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)))))) (fabs.f64 (/.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
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(fabs.f64 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (fabs.f64 (-.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 (/.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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))))))))) 2))
(fabs.f64 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (PI.f64) 2)) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 4)) (.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 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 (fabs.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)))))) (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 1 (-.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))))))))) 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 2 (asin.f64 (sqrt.f64 (/.f64 (-.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 (PI.f64) 2) (.f64 2 (asin.f64 (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)))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
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(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (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)))))

localize276.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	1.0b	(.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)))))))
✓	1.0b	(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	59.1b	(-.f64 (/.f64 (PI.f64) 2) (.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)))))))))

Compiler

Compiled 311 to 270 computations (13.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`rational_best.json-2`
1130×	`rational_best.json-3`
1130×	`rational_best.json-1`
1130×	`rational_best.json-5`
1128×	`exponential.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	459
1	175	343
2	591	135
3	2597	135

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs

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

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

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

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

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

simplify273.0ms (1%)

Algorithm

1×	egg-herbie

Rules

750×	`rational_best.json-simplify-2`
718×	`rational_best.json-simplify-78`
604×	`rational_best.json-simplify-24`
600×	`rational_best.json-simplify-41`
596×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2992
1	168	2968
2	532	2880
3	1421	2880
4	3294	2880
5	5943	2880

Stop Event

1×	node limit

Counts

76 → 63

Calls

Call 1

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

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

eval1.7s (6.3%)

Compiler: Compiled 47378 to 41099 computations (13.3% saved)

prune380.0ms (1.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	885	14	899
Fresh	0	1	1
Picked	1	0	1
Done	3	2	5
Total	889	17	906

Error

57.1b

Counts

906 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	59.0b	(-.f64 (/.f64 (PI.f64) 2) (.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))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)))))
	61.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 1/4)))))
✓	58.9b	(-.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))))
▶	58.0b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	60.6b	(+.f64 (PI.f64) (neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))))
	58.9b	(.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)))))))))
▶	59.0b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.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)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	61.2b	(.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)))))))
	58.9b	(.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))
	58.9b	(.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)))))))))
	58.9b	(.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))
	58.9b	(.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)))))))))))
	58.9b	(.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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))))))))))
	58.9b	(.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 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)))))))))))
▶	59.0b	(.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)))))))
▶	58.9b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 1984 to 1753 computations (11.6% saved)

localize37.0ms (0.1%)

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)

series1.0ms (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)))

rewrite157.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

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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simplify257.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational_best.json-simplify-132`
984×	`rational_best.json-simplify-44`
598×	`rational_best.json-simplify-49`
594×	`rational_best.json-simplify-57`
566×	`rational_best.json-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))))
(-.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 (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))))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
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(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
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(sqrt.f64 1/2)
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(/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)) 1)
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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 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)))
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(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.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 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 1/2 (-.f64 1 x))))) (*.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)
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(pow.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)) 1)
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(neg.f64 (neg.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 1/2 (-.f64 1 x))))) (*.f64 (PI.f64) 1/2))
(+.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)) 0)
(sqrt.f64 (*.f64 1/2 (-.f64 1 x)))
(+.f64 0 (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)) 0)
(sqrt.f64 (*.f64 1/2 (-.f64 1 x)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))))
(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)))

localize50.0ms (0.2%)

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)

localize135.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (+.f64 (+.f64 (/.f64 (PI.f64) 2) (.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)))))))
	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)))))
✓	5.6b	(+.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)))

Compiler

Compiled 215 to 185 computations (14% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.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)))))))
1.0ms	x	@	inf	(.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)))))))
1.0ms	x	@	0	(.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)))))))
0.0ms	x	@	-inf	(+.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)))
0.0ms	x	@	0	(+.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)))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`rational_best.json-2`
1148×	`rational_best.json-3`
1148×	`rational_best.json-1`
1148×	`rational_best.json-5`
1146×	`exponential.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	154
1	193	154
2	618	146
3	2560	82

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs

(+.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 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)))))))

Outputs

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

simplify311.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

848×	`rational_best.json-simplify-129`
818×	`rational_best.json-simplify-2`
818×	`rational_best.json-simplify-80`
800×	`rational_best.json-simplify-43`
696×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	5006
1	190	4966
2	423	4954
3	1511	4954
4	3699	4954
5	7681	4954

Stop Event

1×	node limit

Counts

82 → 60

Calls

Call 1

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

localize121.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	0.1b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 254 to 217 computations (14.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

(*.f64 (/.f64 1 (*.f64 (/.f64 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)))))))

0.0ms

inf

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`rational_best.json-simplify-47`
980×	`rational_best.json-2`
980×	`rational_best.json-3`
980×	`rational_best.json-1`
980×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	171	41
2	511	41
3	2112	41

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs

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

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1428×	`rational_best.json-simplify-51`
902×	`rational_best.json-simplify-80`
772×	`rational_best.json-simplify-44`
758×	`rational_best.json-simplify-78`
758×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	1551
1	109	1471
2	194	1471
3	513	1471
4	1393	1471
5	4084	1471

Stop Event

1×	node limit

Counts

31 → 28

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 (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)))

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

localize444.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(.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)))))))
	1.0b	(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	5.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	59.1b	(-.f64 (/.f64 (PI.f64) 2) (.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)))))))))

Compiler

Compiled 518 to 450 computations (13.1% saved)

eval3.3s (12.4%)

Compiler: Compiled 67984 to 58822 computations (13.5% saved)

prune726.0ms (2.7%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	995	5	1000
Fresh	1	9	10
Picked	0	1	1
Done	2	4	6
Total	998	19	1017

Error

57.1b

Counts

1017 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.0b	(/.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 4)))
	59.0b	(-.f64 (/.f64 (PI.f64) 2) (.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))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)))))
	61.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 1/4)))))
✓	58.9b	(-.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))))
✓	58.0b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	60.6b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 1/2)))
	58.9b	(.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)))))))))
✓	59.0b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.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)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	61.2b	(.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)))))))
	58.9b	(.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))
▶	58.9b	(.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)))))))))
▶	58.9b	(.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))
	58.9b	(.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)))))))))))
▶	58.9b	(.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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))))))))))
	58.9b	(.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	58.9b	(.f64 (/.f64 1 (.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)))))) (.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	58.9b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	58.9b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))

Compiler

Compiled 2356 to 2075 computations (11.9% saved)

localize290.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	0.1b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (/.f64 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 266 to 227 computations (14.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best.json-simplify-47`
994×	`rational_best.json-2`
994×	`rational_best.json-3`
994×	`rational_best.json-1`
994×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	174	41
2	523	41
3	2156	41

Stop Event

1×	node limit

Counts

1 → 19

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

Outputs

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

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1428×	`rational_best.json-simplify-51`
902×	`rational_best.json-simplify-80`
772×	`rational_best.json-simplify-44`
758×	`rational_best.json-simplify-78`
758×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	1551
1	109	1471
2	194	1471
3	513	1471
4	1393	1471
5	4084	1471

Stop Event

1×	node limit

Counts

31 → 28

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 (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)))

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

localize27.0ms (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)

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 4)))
	0.9b	(asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))
✓	5.5b	(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2)))))
✓	5.6b	(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 4))

Compiler

Compiled 152 to 130 computations (14.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 4)))
0.0ms	x	@	inf	(/.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 4)))
0.0ms	x	@	0	(/.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 4)))
0.0ms	x	@	0	(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 4))
0.0ms	x	@	-inf	(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 4))

rewrite260.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`rational_best.json-2`
928×	`rational_best.json-3`
928×	`rational_best.json-1`
928×	`rational_best.json-5`
926×	`exponential.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	271
1	177	271
2	550	175
3	2299	175

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify443.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1174×	`rational_best.json-simplify-54`
1010×	`rational_best.json-simplify-2`
806×	`rational_best.json-simplify-132`
698×	`rational_best.json-simplify-44`
594×	`rational_best.json-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	7854
1	220	7806
2	400	7726
3	1400	7726
4	3921	7726
5	7093	7726

Stop Event

1×	node limit

Counts

106 → 81

Calls

Call 1

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

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

localize464.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.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))))))))))
✓	0.1b	(.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (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))))))))
	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 342 to 293 computations (14.3% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`rational_best.json-2`
1688×	`rational_best.json-3`
1688×	`rational_best.json-1`
1688×	`rational_best.json-5`
1686×	`exponential.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	434
1	184	430
2	641	132
3	3589	132

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify203.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best.json-simplify-44`
1038×	`rational_best.json-simplify-45`
982×	`rational_best.json-simplify-132`
902×	`rational_best.json-simplify-1`
822×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	4369
1	122	4281
2	185	4281
3	370	4281
4	1331	4281
5	3347	4281
6	6440	4281

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

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

localize233.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 499 to 428 computations (14.2% saved)

series13.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))
3.0ms	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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))))
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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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)))))) (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`rational_best.json-2`
1276×	`rational_best.json-3`
1276×	`rational_best.json-1`
1276×	`rational_best.json-5`
1274×	`exponential.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	438
1	192	438
2	640	140
3	3113	140

Stop Event

1×	node limit

Counts

2 → 30

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

simplify288.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1498×	`rational_best.json-simplify-132`
836×	`rational_best.json-simplify-49`
818×	`rational_best.json-simplify-80`
736×	`rational_best.json-simplify-78`
648×	`rational_best.json-simplify-129`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	3924
1	163	3832
2	272	3832
3	656	3832
4	2648	3832
5	7430	3832

Stop Event

1×	node limit

Counts

54 → 45

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

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

eval4.6s (17.5%)

Compiler: Compiled 137199 to 118826 computations (13.4% saved)

prune1.0s (3.9%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1536	10	1546
Fresh	4	5	9
Picked	1	0	1
Done	1	8	9
Total	1542	23	1565

Error

57.1b

Counts

1565 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	58.9b	(/.f64 (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) (.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 4)) 2))
✓	59.0b	(/.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))) 4)))
	59.1b	(/.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2) (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))) (+.f64 (.f64 1/2 (PI.f64)) (.f64 4 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x))))))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 x)))) 8))))
	58.9b	(/.f64 (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 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))) (.f64 (-.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 (-.f64 1 x) 1/2))))))) (.f64 (.f64 (-.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 (-.f64 1 x) 1/2)))))) (.f64 (-.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 (-.f64 1 x) 1/2)))))))))
	58.9b	(/.f64 (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 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))))) (.f64 (-.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 (-.f64 1 x) 1/2))))))))
	58.9b	(/.f64 (fabs.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 3) (fabs.f64 (/.f64 1 (-.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 (-.f64 1 x) 1/2))))))
	59.0b	(-.f64 (/.f64 (PI.f64) 2) (.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))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/2))) 3)))))
	61.5b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 1/4)))))
✓	58.9b	(-.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))))
✓	58.0b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	60.6b	(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 1/2)))
✓	59.0b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.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)))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
	61.2b	(.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)))))))
	58.9b	(.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))
✓	58.9b	(.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)))))))))
	58.9b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
	58.9b	(.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (fabs.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (.f64 (-.f64 1 x) 1/2))))) 2)) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))
	58.9b	(.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.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 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))))))
	58.9b	(.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 (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 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))
	58.9b	(.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 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))
	58.9b	(.f64 (/.f64 1 (.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)))))) (.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 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
✓	58.9b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.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 1566 to 1382 computations (11.7% saved)

regimes103.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

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

16.0ms	x
8.0ms	(-.f64 1 x)
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
4.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Error	Segments	Branch
58.0b	1	`x`
58.0b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.0b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.0b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.0b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.0b	1	`(/.f64 (-.f64 1 x) 2)`
58.0b	1	`(-.f64 1 x)`

Compiler

Compiled 2585 to 2236 computations (13.5% saved)

regimes33.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

10.0ms	x
4.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
4.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
3.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Error	Segments	Branch
57.6b	3	`x`
58.9b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.9b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.9b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.9b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.9b	1	`(/.f64 (-.f64 1 x) 2)`
58.9b	1	`(-.f64 1 x)`

Compiler

Compiled 97 to 84 computations (13.4% saved)

bsearch96.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.067858392498333e-18	1.639198316355428e-15
74.0ms	-5.99462742134753e-158	-1.1393004210870177e-163

Results

71.0ms	144×	body	1024	valid
20.0ms	128×	body	256	valid

Compiler

Compiled 494 to 458 computations (7.3% saved)

regimes17.0ms (0.1%)

Accuracy

Total -2.5b remaining (-4.3%)

Threshold costs -2.5b (-4.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Error	Segments	Branch
58.9b	1	`x`
58.9b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.9b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.9b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.9b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.9b	1	`(/.f64 (-.f64 1 x) 2)`
58.9b	1	`(-.f64 1 x)`

Compiler

Compiled 74 to 65 computations (12.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	256

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

Compiler

Compiled 86 to 76 computations (11.6% saved)

soundness669.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1398×	`rational_best.json-simplify-80`
1342×	`rational_best.json-simplify-24`
1324×	`rational_best.json-simplify-78`
1272×	`rational_best.json-simplify-94`
1028×	`rational_best.json-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)

end52.0ms (0.2%)

Compiler: Compiled 83 to 70 computations (15.7% saved)

Details

analyze5.0ms (0%)

sample6.0s (22.8%)

preprocess16.0ms (0.1%)

simplify12.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize119.0ms (0.4%)

series3.0ms (0%)

rewrite126.0ms (0.5%)

simplify317.0ms (1.2%)

eval155.0ms (0.6%)

prune34.0ms (0.1%)

localize48.0ms (0.2%)

series1.0ms (0%)

rewrite149.0ms (0.6%)

simplify533.0ms (2%)

localize18.0ms (0.1%)

series0.0ms (0%)

rewrite75.0ms (0.3%)

simplify187.0ms (0.7%)

localize63.0ms (0.2%)

series5.0ms (0%)

rewrite78.0ms (0.3%)

simplify177.0ms (0.7%)

localize69.0ms (0.3%)

series3.0ms (0%)

rewrite259.0ms (1%)

simplify253.0ms (1%)

localize276.0ms (1%)

series3.0ms (0%)

rewrite71.0ms (0.3%)

simplify273.0ms (1%)

eval1.7s (6.3%)

prune380.0ms (1.4%)

localize37.0ms (0.1%)

series1.0ms (0%)

rewrite157.0ms (0.6%)

simplify257.0ms (1%)

localize50.0ms (0.2%)

localize135.0ms (0.5%)

series4.0ms (0%)

rewrite76.0ms (0.3%)

simplify311.0ms (1.2%)

localize121.0ms (0.5%)

series1.0ms (0%)

rewrite81.0ms (0.3%)

simplify108.0ms (0.4%)

localize444.0ms (1.7%)

eval3.3s (12.4%)

prune726.0ms (2.7%)

localize290.0ms (1.1%)

series1.0ms (0%)

rewrite61.0ms (0.2%)

simplify110.0ms (0.4%)

localize27.0ms (0.1%)

localize82.0ms (0.3%)

series2.0ms (0%)

rewrite260.0ms (1%)

simplify443.0ms (1.7%)

localize464.0ms (1.8%)

series9.0ms (0%)

rewrite67.0ms (0.3%)

simplify203.0ms (0.8%)

localize233.0ms (0.9%)

series13.0ms (0%)

rewrite64.0ms (0.2%)

simplify288.0ms (1.1%)

eval4.6s (17.5%)

prune1.0s (3.9%)

regimes103.0ms (0.4%)

regimes33.0ms (0.1%)

bsearch96.0ms (0.4%)

regimes17.0ms (0.1%)

simplify4.0ms (0%)

soundness669.0ms (2.5%)

end52.0ms (0.2%)

Profiling