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)

sample3.9s (20.6%)

Results

2.4s	4143×	body	1024	valid
721.0ms	2072×	body	512	valid
377.0ms	430×	body	2048	valid
315.0ms	1611×	body	256	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess58.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1052×	`rational.json-simplify-29`
868×	`rational.json-simplify-13`
790×	`rational.json-simplify-9`
666×	`rational.json-simplify-11`
642×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	36	41
2	80	41
3	208	41
4	776	41
5	4969	41
6	7672	41
0	1	1

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-29`
868×	`rational.json-simplify-13`
790×	`rational.json-simplify-9`
666×	`rational.json-simplify-11`
642×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	36	41
2	80	41
3	208	41
4	776	41
5	4969	41
6	7672	41

Stop Event

1×	node limit

Counts

1 → 5

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

eval2.0ms (0%)

Compiler: Compiled 66 to 57 computations (13.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

59.1b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.1b	(-.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)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	1.0b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	8.2b	(-.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)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite123.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`rational.json-simplify-11`
634×	`rational.json-simplify-23`
594×	`rational.json-1`
594×	`rational.json-2`
594×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	97	79
2	295	79
3	1344	79
4	7802	79

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (PI.f64) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (+.f64 0 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 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egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational.json-simplify-31`
1278×	`rational.json-simplify-23`
992×	`rational.json-simplify-27`
832×	`rational.json-simplify-29`
664×	`rational.json-simplify-30`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	7068
1	1056	6786
2	4172	6598

Stop Event

1×	node limit

Counts

188 → 218

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 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (*.f64 (PI.f64) -1/2)))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 0)
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 0))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (+.f64 0 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 0)))
(+.f64 0 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)))
(+.f64 (PI.f64) (+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (PI.f64) -1/2)))
(+.f64 (PI.f64) (.f64 1/2 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (*.f64 (PI.f64) 3/2))))
(+.f64 (PI.f64) (/.f64 -1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 (PI.f64) (/.f64 -1 (/.f64 -1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)))))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (-.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (PI.f64)))
(+.f64 (.f64 2 (PI.f64)) (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2))))
(+.f64 (.f64 2 (PI.f64)) (+.f64 0 (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2)))))
(+.f64 (.f64 2 (PI.f64)) (.f64 1 (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) 3/2)))))
(+.f64 (.f64 2 (PI.f64)) (/.f64 -1 (/.f64 1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2)))))
(+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) -1/2)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (/.f64 -1 (*.f64 (/.f64 2 (PI.f64)) -1)))
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(+.f64 (.f64 (PI.f64) -1/2) (.f64 -1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (PI.f64))))
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(+.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 0) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)) (PI.f64))
(+.f64 (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2))) (.f64 2 (PI.f64)))
(+.f64 (.f64 (PI.f64) 1/4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 1/4)))
(+.f64 (.f64 (PI.f64) 1/4) (+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (PI.f64) 1/4)))
(+.f64 (.f64 (PI.f64) 1/4) (.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(+.f64 (.f64 (PI.f64) 1/4) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1/2) (.f64 1/2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))))
(.f64 2 (/.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
(.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
(.f64 1 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))
(.f64 1 (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 2)))
(.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1)
(.f64 1/2 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(.f64 1/2 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) -1/2)) -1)
(.f64 -1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) -1/2)))
(.f64 -1 (-.f64 (-.f64 (.f64 (PI.f64) 0) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(.f64 -1 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(.f64 -1 (-.f64 (neg.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) -1/2))))
(.f64 -1 (-.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) 3/2))))
(.f64 -1 (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (+.f64 (.f64 2 (PI.f64)) (.f64 (PI.f64) 3/2))) (.f64 (*.f64 2 (PI.f64)) 2)))
(.f64 -1 (-.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3) (.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) 2)))
(.f64 -1/2 (neg.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
(.f64 -1/2 (.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) -1/2)) 2))
(.f64 -1/2 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (PI.f64)) -1)))
(.f64 -1/2 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (PI.f64))))
(.f64 -1/2 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 3)))
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(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(/.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 1)
(/.f64 1/2 (/.f64 1 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))))
(/.f64 1/2 (/.f64 -1 (.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) -1/2)) 2)))
(/.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) -1/2)) -1)
(/.f64 -1 (/.f64 1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) -1/2))))
(/.f64 -1 (/.f64 -1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
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(/.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) -1)
(/.f64 (-.f64 (neg.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) -1/2))) -1)
(/.f64 (-.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2))) -1)
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(/.f64 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) 1)
(/.f64 (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2)) 1)
(neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (*.f64 (PI.f64) -1/2)))
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(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 0 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 0 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (/.f64 -1 (.f64 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/2) (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 0 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)))
(-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 1/2) (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 2 (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1)
(.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/2)
(.f64 -2 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(.f64 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) -1/2)
(.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(.f64 -1 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -1)
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 6) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) 1/4)
(.f64 4 (.f64 1/2 (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) -1/4)
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(/.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/2) 1/2)
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) -1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (+.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)))
(+.f64 0 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)
(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0))
(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (+.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)))
(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 0 (.f64 -1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (/.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 -1 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(-.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (+.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))
(.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -1)
(.f64 -1/2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 -1/2 (-.f64 0 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))
(.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/2)
(.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(/.f64 1/2 (/.f64 1 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(/.f64 1/2 (/.f64 -1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) -1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.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 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.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 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.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 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.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 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 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))))
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(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 1/2) (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
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(.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/2)
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(.f64 -2 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) -1/2)
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(.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 -1 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -1)
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(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 6) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) 1/4)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 4 (.f64 1/2 (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) -1/4)
(.f64 -1/4 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(/.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
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(/.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/2) 1/2)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) -1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (+.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 0 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
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(-.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0))
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(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (+.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)))
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(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)))
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(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(-.f64 0 (.f64 -1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (/.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 -1 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(-.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
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(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (+.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))
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(.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 -1/2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 -1/2 (-.f64 0 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(/.f64 1/2 (/.f64 1 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(/.f64 1/2 (/.f64 -1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) -1)
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))

eval129.0ms (0.7%)

Compiler: Compiled 4752 to 4107 computations (13.6% saved)

prune84.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	211	7	218
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	211	8	219

Error

57.2b

Counts

219 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	59.2b	(/.f64 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) 1)
▶	59.1b	(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
▶	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))))
▶	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))
✓	59.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	58.5b	(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)) (PI.f64))
	59.1b	(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 -1/2 (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (+.f64 (.f64 (PI.f64) 2) (*.f64 1/2 (PI.f64)))))))

Compiler

Compiled 324 to 297 computations (8.3% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	0.0b	(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2))
✓	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	8.3b	(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)) (PI.f64))

Compiler

Compiled 67 to 55 computations (17.9% saved)

series4.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2012×	`rational.json-1`
2006×	`rational.json-2`
842×	`rational.json-simplify-5`
666×	`rational.json-simplify-13`
634×	`rational.json-simplify-11`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	93	128
2	219	120
3	931	120
4	6449	120

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

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

simplify170.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-33`
908×	`rational.json-simplify-16`
864×	`rational.json-simplify-51`
850×	`rational.json-simplify-7`
686×	`rational.json-simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	9903
1	1393	9735
2	5687	9649

Stop Event

1×	node limit

Counts

257 → 307

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64)))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (-.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) (+.f64 (PI.f64) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (*.f64 -1/2 (PI.f64))))
(-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
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(-.f64 (PI.f64) (-.f64 (.f64 (PI.f64) 2) (+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))))))
(-.f64 (.f64 -1/2 (PI.f64)) (+.f64 (neg.f64 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
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(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) (neg.f64 (PI.f64)))
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(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) (-.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 2) (+.f64 (PI.f64) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 2))))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64))) 0)
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) (.f64 (PI.f64) 0))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 0))
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(-.f64 0 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(-.f64 0 (.f64 -1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64)))))
(-.f64 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (-.f64 0 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64))) 2)))
(-.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (/.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64))) 2) -1))
(-.f64 (+.f64 (.f64 -1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (.f64 -1 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) 2)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (-.f64 0 (+.f64 (PI.f64) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 2))))
(-.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) 2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64))))
(-.f64 (neg.f64 (PI.f64)) (-.f64 0 (+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))))
(-.f64 (.f64 (PI.f64) 0) (+.f64 (.f64 -1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))
(-.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 0) (+.f64 (.f64 -1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(-.f64 (+.f64 (PI.f64) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))))
(-.f64 (+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64)))) (PI.f64))
(-.f64 (.f64 (PI.f64) -3/2) (-.f64 (.f64 (neg.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))
(-.f64 (.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) 2) 2) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64))) 3))
(-.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) 3) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) 2))
(-.f64 (.f64 (PI.f64) 3) (-.f64 (.f64 (.f64 (PI.f64) 2) 2) (+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))))))
(-.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 3) (-.f64 (.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 2) 2) (+.f64 (PI.f64) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 2))))
(-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) (.f64 -1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(-.f64 (-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) 2) (.f64 -1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -6))
(-.f64 (-.f64 (+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64)))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 0)) (PI.f64))
(-.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 1/2 (PI.f64))) 2) 2) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 0)) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64))) 3))
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(.f64 -1/2 (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 2) (PI.f64)))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 1)
(.f64 1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))))
(.f64 -1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))
(.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) -1)
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(/.f64 1/2 (/.f64 1 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 2)))
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(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2) (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))
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(.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
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Outputs
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(.f64 -1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 -1/2 (-.f64 0 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 2)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 -1/2 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 3)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 -1/2 (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) 2) (PI.f64)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 1)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 -1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) -1)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 2 (/.f64 1/2 (/.f64 2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4) (PI.f64)))))
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -4) (PI.f64)) 2)
(-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (/.f64 (PI.f64) 2))
(.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 2) 1/2)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4) (PI.f64)) 1/2)
(-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 (PI.f64) 1/2))
(-.f64 (.f64 -1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) -1/2)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 1/2 (/.f64 1 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 -1/2 (PI.f64))) 2)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 1/2 (/.f64 -1 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))) 1)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 1 (/.f64 2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) (PI.f64))))
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -4) (PI.f64)) 2)
(-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (/.f64 (PI.f64) 2))
(/.f64 -1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) -1)
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(neg.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(+.f64 (.f64 -1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 0 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2) (-.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 0)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 0 (.f64 -1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (-.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2) -1))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 0)) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2) (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -1)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 2) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 2)))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`rational.json-1`
1258×	`rational.json-2`
1258×	`rational.json-4`
1258×	`rational.json-3`
1006×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	28	9
2	70	9
3	238	9
4	1246	9
5	5596	9

Stop Event

1×	node limit

Counts

1 → 73

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 (asin.f64 (sqrt.f64 1/2)) (*.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 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 4) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (*.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3) (*.f64 (asin.f64 (sqrt.f64 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (*.f64 -1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (*.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -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 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 1/2)) (+.f64 (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) -1/2)))))) (#(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 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (asin.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (neg.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))))) (#(struct:change #<rule egg-rr> 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 -1 (asin.f64 (sqrt.f64 1/2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.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 1 (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) 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 -1/2 (/.f64 -1/2 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))))))

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-13`
1032×	`rational.json-simplify-39`
810×	`rational.json-simplify-31`
776×	`rational.json-simplify-23`
710×	`rational.json-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	657
1	347	657
2	2115	657
3	7669	657

Stop Event

1×	node limit

Counts

73 → 74

Calls

Call 1

Inputs
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(+.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 0))
(+.f64 0 (asin.f64 (sqrt.f64 1/2)))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (asin.f64 (sqrt.f64 1/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (*.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(+.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3) (.f64 (asin.f64 (sqrt.f64 1/2)) 4))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (.f64 -1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(+.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3)))
(+.f64 (.f64 -1/2 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(-.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 0))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2)))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3) -1/2)))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (asin.f64 (sqrt.f64 1/2)))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(-.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2))
(-.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(-.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(-.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3) (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3) (*.f64 (asin.f64 (sqrt.f64 1/2)) 5))
(-.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3)))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3) -1/2))
(-.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)))
(-.f64 (+.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)) (+.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(-.f64 (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3)) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3) (*.f64 (asin.f64 (sqrt.f64 1/2)) 5)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(-.f64 (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))) (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3))))
(-.f64 (+.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2))))) (+.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))))
(-.f64 (+.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))) (+.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5))) (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))) (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)))) (+.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))) (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)))) (+.f64 (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))) (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3)))))
(.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
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(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 1/2)
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(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) -1/2)
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4) 1/4)
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) 2)
(.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) -1/4)
(*.f64 -2 (/.f64 1/2 (/.f64 -1 (asin.f64 (sqrt.f64 1/2)))))
(.f64 1/4 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))
(.f64 -1/4 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)))
(*.f64 (/.f64 1/2 (/.f64 -1 (asin.f64 (sqrt.f64 1/2)))) -2)
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 1/2))))
(/.f64 -1 (/.f64 -1 (asin.f64 (sqrt.f64 1/2))))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(/.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) 2)
(/.f64 2 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) 1/2))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) -2) -2)
(/.f64 -1/2 (/.f64 -1/2 (asin.f64 (sqrt.f64 1/2))))
(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 (asin.f64 (sqrt.f64 1/2)) (*.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 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (*.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3) (.f64 (asin.f64 (sqrt.f64 1/2)) 4))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (.f64 -1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3)))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -1/2))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 0))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3) -1/2)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3) (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3) (*.f64 (asin.f64 (sqrt.f64 1/2)) 5))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -1/2) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 3) -1/2))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)) (+.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3)) (+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3) (*.f64 (asin.f64 (sqrt.f64 1/2)) 5)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))) (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2))))) (+.f64 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) 3))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))) (+.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2)))) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5))) (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 5)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))) (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)))) (+.f64 (+.f64 (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3)) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 3))) (*.f64 (asin.f64 (sqrt.f64 1/2)) 2)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))) (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)))) (+.f64 (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))) (+.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) (+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 3)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) 1/2)
(asin.f64 (sqrt.f64 1/2))
(.f64 2 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) -1/2)
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4) 1/4)
(asin.f64 (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))) 2)
(asin.f64 (sqrt.f64 1/2))
(.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)) -1/4)
(asin.f64 (sqrt.f64 1/2))
(*.f64 -2 (/.f64 1/2 (/.f64 -1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 1/4 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))
(asin.f64 (sqrt.f64 1/2))
(.f64 -1/4 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4)))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (/.f64 1/2 (/.f64 -1 (asin.f64 (sqrt.f64 1/2)))) -2)
(asin.f64 (sqrt.f64 1/2))
(/.f64 1/2 (/.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 1 (/.f64 1 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 -1 (/.f64 -1 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) 2)
(asin.f64 (sqrt.f64 1/2))
(/.f64 2 (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2))) 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 -1/2 (/.f64 -1/2 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	0.0b	(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	8.2b	(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))

Compiler

Compiled 85 to 72 computations (15.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2198×	`rational.json-1`
762×	`rational.json-simplify-5`
618×	`rational.json-simplify-13`
538×	`rational.json-simplify-19`
486×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	108	82
2	269	82
3	1139	82
4	7353	82

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (-.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (-.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 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simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational.json-simplify-1`
1018×	`rational.json-simplify-3`
1018×	`rational.json-simplify-27`
984×	`rational.json-simplify-23`
888×	`rational.json-simplify-19`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	272	9925
1	874	9841
2	3367	9841

Stop Event

1×	node limit

Counts

215 → 159

Calls

Call 1

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

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)
✓	1.0b	(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3))))
✓	1.0b	(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))

Compiler

Compiled 126 to 109 computations (13.5% saved)

series5.0ms (0%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)
1.0ms	x	@	inf	(-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
1.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))
1.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))
0.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`rational.json-simplify-11`
682×	`rational.json-simplify-25`
656×	`rational.json-1`
656×	`rational.json-2`
656×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	198
1	123	138
2	351	108
3	1646	108

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

Outputs
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((x /.f64 -3 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (-.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3/2 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 -1 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 1 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 6 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -2) 1/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 6 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -5/2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 9) (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 6) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3))))))

simplify187.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1746×	`rational.json-simplify-55`
872×	`rational.json-simplify-3`
690×	`rational.json-simplify-51`
662×	`rational.json-simplify-39`
466×	`rational.json-simplify-11`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	561	17485
1	1862	10457
2	7916	10393

Stop Event

1×	node limit

Counts

299 → 347

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(-.f64 (sqrt.f64 1/2) (*.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 x (sqrt.f64 1/2)))) (.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 1/2))))) (*.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (.f64 1/2 (/.f64 x (sqrt.f64 1/2)))))) (.f64 3 (sqrt.f64 1/2)))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(*.f64 3 (sqrt.f64 1/2))
(+.f64 (.f64 -3/4 (/.f64 x (sqrt.f64 1/2))) (.f64 3 (sqrt.f64 1/2)))
(+.f64 (.f64 -3/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 3 (sqrt.f64 1/2))))
(+.f64 (.f64 -3/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 -3/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3 (sqrt.f64 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2))) (*.f64 -1/2 (PI.f64))))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2)) 0)
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2)) 0))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 0 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2)) 0)))
(+.f64 0 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2)))
(+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 -1/2 (PI.f64))))
(+.f64 (PI.f64) (+.f64 0 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 -1/2 (PI.f64)))))
(+.f64 (PI.f64) (+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (.f64 -1/2 (PI.f64))))
(+.f64 (PI.f64) (.f64 1/2 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)) (*.f64 (PI.f64) 3/2))))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))) (neg.f64 (PI.f64))))
(+.f64 (.f64 2 (PI.f64)) (-.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 (PI.f64) 3/2))))
(+.f64 (.f64 2 (PI.f64)) (+.f64 0 (-.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 (PI.f64) 3/2)))))
(+.f64 (.f64 2 (PI.f64)) (.f64 1 (-.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 (PI.f64) 3/2)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 1/2 (PI.f64)))
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(neg.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3))

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

localize83.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)
✓	1.0b	(asin.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))
✓	1.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))))

Compiler

Compiled 137 to 120 computations (12.4% saved)

series6.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))))
1.0ms	x	@	inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
0.0ms	x	@	0	(-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))
0.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))))
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`rational.json-simplify-11`
634×	`rational.json-1`
634×	`rational.json-2`
634×	`rational.json-4`
634×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	199
1	123	181
2	330	109
3	1474	79
4	7954	79

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs

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

(-.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))

(asin.f64 (-.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3)))

Outputs

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

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

956×	`rational.json-simplify-32`
860×	`rational.json-simplify-30`
770×	`rational.json-simplify-3`
764×	`rational.json-simplify-29`
490×	`rational.json-simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	11957
1	1323	7501
2	6028	7347

Stop Event

1×	node limit

Counts

209 → 252

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (*.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))) (.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))) (*.f64 3 (sqrt.f64 1/2)))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
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(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 1/2 (PI.f64)))
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(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 4) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 11)) (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 7) 2)) 1)
(/.f64 (-.f64 (-.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -4)) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 7)) -1)
(/.f64 (-.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 8)) (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 4) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 11))) -1)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 4) (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 8)) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 11))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 8)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 8)))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 0 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 0 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/2) (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 0 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)))
(-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 0) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) 1/2) (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 2 (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 1/2 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 6) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))
(.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1)
(.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/2)
(.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))
(.f64 4 (.f64 1/2 (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) -1/2)
(.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(.f64 -1 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(.f64 -2 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -1)
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) 1/4)
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) -1/4)
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(/.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/2) 1/2)
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) -1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) 1)
(-.f64 (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (*.f64 3 (sqrt.f64 1/2)))
(+.f64 (.f64 4 (sqrt.f64 1/2)) (-.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (*.f64 3 (sqrt.f64 1/2))))
(+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))) (.f64 3 (sqrt.f64 1/2)))
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(+.f64 (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1)) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))) (*.f64 3 (sqrt.f64 1/2)))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (-.f64 (+.f64 (.f64 4 (sqrt.f64 1/2)) (+.f64 (/.f64 -1/128 (/.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))) (.f64 3 (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 0)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
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(.f64 -1 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(.f64 -2 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) -1)
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) 1/4)
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) -1/4)
(.f64 -1/4 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2)))
(.f64 -1/4 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -4))
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 1/2) 1/2)
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) -1)
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))

eval801.0ms (4.3%)

Compiler: Compiled 33630 to 29304 computations (12.9% saved)

prune780.0ms (4.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1316	8	1324
Fresh	2	0	2
Picked	1	0	1
Done	1	4	5
Total	1320	12	1332

Error

57.2b

Counts

1332 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
✓	59.1b	(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
▶	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
	61.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (*.f64 3 (sqrt.f64 1/2))))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (+.f64 (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1)) (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))))
✓	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))
▶	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))))
✓	59.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	59.2b	(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))))
▶	60.7b	(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (PI.f64))
▶	59.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))

Compiler

Compiled 487 to 449 computations (7.8% saved)

localize114.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
✓	0.1b	(-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	8.2b	(+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))

Compiler

Compiled 197 to 169 computations (14.2% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
1.0ms	x	@	inf	(-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
1.0ms	x	@	-inf	(-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
0.0ms	x	@	0	(+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`rational.json-simplify-27`
1044×	`rational.json-simplify-25`
952×	`rational.json-simplify-32`
872×	`rational.json-simplify-34`
814×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	123
1	156	117
2	457	117
3	2280	117

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

Inputs

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

(-.f64 (/.f64 2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))

(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) (+.f64 (*.f64 1/2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) (+.f64 0 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) (+.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 0) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (+.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (+.f64 0 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (+.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 0) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (/.f64 (*.f64 1/2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1 (/.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (*.f64 -1 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 2) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -8)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4) (*.f64 (PI.f64) 2)) (PI.f64))))) (#(struct:change #<rule 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-1/2)))) -4)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/4) (/.f64 1/2 (/.f64 -2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2) (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2))))))

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`rational.json-simplify-1`
1046×	`rational.json-simplify-3`
568×	`rational.json-simplify-19`
510×	`rational.json-simplify-27`
484×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	12768
1	1807	12714

Stop Event

1×	node limit

Counts

312 → 317

Calls

Call 1

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

Outputs
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(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -2 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/4))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -2 (/.f64 1/2 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -2 (-.f64 0 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) 1/4)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -2 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2) (-.f64 0 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 1/4))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -2 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2) (/.f64 1/2 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (.f64 1/2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) 1)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 4 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 8))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 4 (-.f64 0 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/8)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 4 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/8) (/.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 2) -8)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 4 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/8) (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/4)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 4 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) 1/4) (-.f64 0 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/8))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) 1/4) 2)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/8) -4)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -8 (/.f64 1/2 (/.f64 -8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -8 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/8) (/.f64 1/2 (/.f64 -8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/4) -2)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 1/4 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) 2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 1/4 (+.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) (/.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) 1/4) 1/4)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 1/4 (+.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) (/.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/8) -1/8)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -1 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -1 (/.f64 (.f64 1/2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) -1))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -1 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) 3/2) (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -1 (+.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/4) (-.f64 0 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 1/4))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 -1 (+.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/4) (/.f64 1/2 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2) -1)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) 2) 1/4)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 8) 4)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(.f64 (+.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2) (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2)) -1/2)
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))
(neg.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 1/2 (PI.f64)))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2))

localize29.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 38 to 34 computations (10.5% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))
✓	1.0b	(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
✓	1.9b	(-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
✓	59.4b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

Compiler

Compiled 119 to 103 computations (13.4% saved)

series2.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
0.0ms	x	@	-inf	(-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
0.0ms	x	@	inf	(-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
0.0ms	x	@	0	(-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
0.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`rational.json-simplify-11`
656×	`rational.json-1`
656×	`rational.json-2`
656×	`rational.json-4`
656×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	204
1	119	102
2	332	102
3	1465	102

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))

Outputs
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simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational.json-simplify-3`
632×	`rational.json-simplify-11`
540×	`rational.json-simplify-20`
534×	`rational.json-simplify-36`
496×	`rational.json-simplify-34`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	624	14452
1	2031	9726

Stop Event

1×	node limit

Counts

306 → 367

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (*.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))) (.f64 3 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))) (*.f64 3 (sqrt.f64 1/2)))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(*.f64 3 (sqrt.f64 1/2))
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(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 0)))
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(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (neg.f64 (PI.f64))))
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(+.f64 (-.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (PI.f64) 3/2))) (.f64 2 (PI.f64)))
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(+.f64 (.f64 (PI.f64) 1/4) (+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (*.f64 (PI.f64) 1/4)))
(+.f64 (.f64 (PI.f64) 1/4) (.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(+.f64 (.f64 (PI.f64) 1/4) (.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
(+.f64 (.f64 (PI.f64) 1/4) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
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(.f64 1/2 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(.f64 1/2 (-.f64 (PI.f64) (.f64 4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) 1)
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(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28)) (+.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28))) -1/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -7) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -4)) -1)
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -2) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) -2)) -1)
(neg.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 3)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) 1))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) 1)
(-.f64 (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (*.f64 3 (sqrt.f64 1/2)))
(+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))) (.f64 3 (sqrt.f64 1/2)))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (-.f64 (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (.f64 3 (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) 1)))
(-.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))) (*.f64 3 (sqrt.f64 1/2)))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (-.f64 (+.f64 (+.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 3 (sqrt.f64 1/2))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (/.f64 -1/128 (/.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) 1))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(*.f64 3 (sqrt.f64 1/2))
(+.f64 (.f64 -3/4 (/.f64 x (sqrt.f64 1/2))) (.f64 3 (sqrt.f64 1/2)))
(+.f64 (.f64 3 (sqrt.f64 1/2)) (.f64 (/.f64 x (sqrt.f64 1/2)) -3/4))
(+.f64 (.f64 -3/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 3 (sqrt.f64 1/2))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 1/2)) -3/4) (+.f64 (.f64 3 (sqrt.f64 1/2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) -3/32)))
(+.f64 (.f64 3 (sqrt.f64 1/2)) (+.f64 (.f64 (/.f64 x (sqrt.f64 1/2)) -3/4) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) -3/32)))
(+.f64 (.f64 -3/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 -3/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3 (sqrt.f64 1/2)))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 1/2)) -3/4) (+.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) -3/128) (+.f64 (.f64 3 (sqrt.f64 1/2)) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) -3/32))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 1/2)) -3/4) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) -3/32) (+.f64 (/.f64 -3/128 (/.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (*.f64 3 (sqrt.f64 1/2)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 0) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (-.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))) (PI.f64))))
(+.f64 (.f64 2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (-.f64 (.f64 1/2 (PI.f64)) (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))))
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(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 0)
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(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
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(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 15) 1/3) (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 16) (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 1/3))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 5) 1/3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 12))
(-.f64 (.f64 5 (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 12))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 15) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 12))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3) 1/3) (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -4) 1/3))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -7) 1/3) (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -8) 1/3))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (/.f64 (+.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28)) 1/3) (/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28)) 1/3))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 5) 3) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 12))
(-.f64 (.f64 5 (.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 12))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 15) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 12))
(-.f64 (.f64 (+.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28)) 3) (.f64 3 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -3) (.f64 -3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 5)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) -3) (.f64 -3 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 7) -3) (.f64 -3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 8)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 15) -3) (.f64 -3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 16)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 6) -3) (.f64 -3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 7)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -3) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) -9))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 14) -3) (.f64 -3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 15)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 9) 1/2) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 12) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 12)) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 21))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (+.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 8)) (.f64 3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 8))) (.f64 3 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 15)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(-.f64 (+.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 16)) (.f64 3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 16))) (+.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 16)) (.f64 3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 15))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 6))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 6)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1/3)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 3 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) 1)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3) -1)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3)))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1/3)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 -3 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -1))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 -3 (/.f64 -1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 -3 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 -3 (-.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 3/2 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 6 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) -3)) 1/2) -1)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (-.f64 (-.f64 0 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1/3)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 16) (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 15)) -1/3)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28)) (+.f64 (.f64 4 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 28))) -1/3)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -7) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -4)) -1)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -2) (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -1)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) -2)) -1)
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))
(neg.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) -3))
(+.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 2 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(.f64 3 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
✓	0.9b	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3)
✓	1.0b	(asin.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
✓	8.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))))

Compiler

Compiled 215 to 189 computations (12.1% saved)

series8.0ms (0%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))))
1.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))))
1.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))))
0.0ms	x	@	inf	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
0.0ms	x	@	inf	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3)

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`rational.json-1`
752×	`rational.json-2`
752×	`rational.json-4`
752×	`rational.json-3`
700×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	244
1	143	176
2	382	108
3	1729	108

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

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

Outputs
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-3/2))))))

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-51`
1342×	`rational.json-simplify-27`
778×	`rational.json-simplify-3`
630×	`rational.json-simplify-39`
478×	`rational.json-simplify-19`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	506	11497
1	1647	9071
2	7156	9071

Stop Event

1×	node limit

Counts

253 → 288

Calls

Call 1

Inputs
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(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (.f64 -1/2 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))))
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(*.f64 -3 (sqrt.f64 1/2))
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(+.f64 (.f64 3/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 3/4 (/.f64 x (sqrt.f64 1/2))) (.f64 -3 (sqrt.f64 1/2)))))
(*.f64 3/2 (sqrt.f64 1/2))
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(+.f64 0 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2)))
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(+.f64 (PI.f64) (.f64 1/2 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)) (*.f64 (PI.f64) 3/2))))
(+.f64 (PI.f64) (.f64 1 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (PI.f64))))
(+.f64 (.f64 2 (PI.f64)) (-.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 (PI.f64) 3/2))))
(+.f64 (.f64 2 (PI.f64)) (.f64 1 (-.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 (PI.f64) 3/2)))))
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(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -3))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -6))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -6)))
(/.f64 1/2 (/.f64 -1 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 3) 2)))
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -1/3)
(/.f64 3/2 (.f64 -1 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(/.f64 -3 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -2) 2/3)
(/.f64 1 (/.f64 -1/3 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/3)
(/.f64 -3/2 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 3 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) -1)
(/.f64 -6 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/2))
(/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -2) -1/3) -2)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) 2) 1/2) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -2) -3) -2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 5/2)) 1/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 4)) 1/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -9) (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -6) 2)) -1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 3)) -1)
(neg.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3))
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(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/4) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/4))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 9/2) (.f64 3/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -2)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 9/4) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/4))
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(+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 1/4) 3/2) (.f64 3/2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/4)))
(+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/4) -3) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3/4))
(+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 1/4) -3) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 9/4))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) 0)
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 0))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 0)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 0) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 0)))
(-.f64 0 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) 2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 9/2))
(-.f64 (/.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2/3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2))
(-.f64 (.f64 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3/4))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -2) -3) (.f64 -3 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2)))
(-.f64 (/.f64 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2/3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/4))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 5/2) 2/3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 9/4))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 4) 2/3) (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) 2/3))
(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -6) 2) -1/2) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -9)))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 9/2) 1/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 3/4))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 5/2) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 9/4))
(-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 4) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 9/2))
(/.f64 -1/2 (/.f64 -1/3 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 -1/2 (.f64 (.f64 -1 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2/3))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3/2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3)))
(/.f64 1/2 (/.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3)))
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 2/3)
(/.f64 3/2 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) 1)
(/.f64 -3 (/.f64 -2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) -2)
(/.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -1/3)
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -2) -4/3)
(/.f64 1 (/.f64 2/3 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2) -1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2/3)
(/.f64 -3/2 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 -3/2 (-.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 3 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/2))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) 2)
(/.f64 3/4 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(/.f64 -3/4 (.f64 -1 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 5/2)) -2/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 4)) -2/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 9/2) (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 3) 2)) -1)
(neg.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))) -7/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))) -7/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))) -7/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (+.f64 (.f64 -3 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 -1/2 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))) -7/2))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -3 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 3/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) -3)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 1))))))
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(/.f64 -1/2 (.f64 (.f64 -1 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) 2/3))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3/2))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 1/2 (/.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 2/3)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 3/2 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) 1)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 -3 (/.f64 -2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) -2)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -1/3)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -2) -4/3)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 1 (/.f64 2/3 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2)))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2) -1)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2/3)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 -3/2 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 -3/2 (-.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 3 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 1/2))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) 2)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 3/4 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 -3/4 (.f64 -1 (/.f64 1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 5/2)) -2/3)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 4)) -2/3)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 9/2) (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))) 3) 2)) -1)
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)
(neg.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3/2))
(.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2)

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
✓	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
✓	8.2b	(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
✓	8.3b	(-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))

Compiler

Compiled 150 to 125 computations (16.7% saved)

series2.0ms (0%)

Counts

4 → 44

Calls

12 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`rational.json-simplify-5`
1110×	`rational.json-simplify-13`
946×	`rational.json-simplify-11`
854×	`rational.json-simplify-14`
748×	`rational.json-simplify-21`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	160
1	112	160
2	276	144
3	1220	144

Stop Event

1×	node limit

Counts

4 → 380

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -4)) (+.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -4)) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2))))))) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (-.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -4)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 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simplify230.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1710×	`rational.json-simplify-13`
1376×	`rational.json-simplify-11`
1376×	`rational.json-simplify-14`
1256×	`rational.json-simplify-21`
1064×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	699	30298
1	2567	29700

Stop Event

1×	node limit

Counts

424 → 756

Calls

Call 1

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

Outputs
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(-.f64 (PI.f64) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2)))
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(.f64 -1/2 (-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) 3/2)))
(.f64 -1/2 (-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2)) (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) 3/2)))
(-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 4)) 3/4) (-.f64 (.f64 (PI.f64) 1/4) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) 1)
(-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) -2))
(.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) -2))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (.f64 (PI.f64) -1/2)) -1)
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(.f64 -1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (.f64 (PI.f64) -1/2)))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) 1/2)
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(.f64 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) -1) -1/2)
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(/.f64 1/2 (/.f64 1 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(/.f64 1/2 (/.f64 -1 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)) -1)))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2)) 1)
(-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) -2))
(/.f64 1 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(/.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2)) -1)
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(/.f64 -1 (/.f64 1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(/.f64 (.f64 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) -1) 1/2) -1)
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (neg.f64 (PI.f64))) (*.f64 (PI.f64) -1/2)) -1)
(neg.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) -1/2))))
(neg.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 (PI.f64) -1/2)))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 1/2))

eval1.9s (10.1%)

Compiler: Compiled 76912 to 66384 computations (13.7% saved)

prune887.0ms (4.7%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	2066	13	2079
Fresh	0	3	3
Picked	0	1	1
Done	1	7	8
Total	2067	24	2091

Error

57.1b

Counts

2091 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))) -1))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
	59.2b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (.f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (/.f64 -4 (-.f64 (/.f64 20 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (/.f64 24 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))))))))))
	59.2b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) -4)))))))
✓	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (.f64 (/.f64 20 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) 1) (/.f64 24 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))))))
▶	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
✓	59.1b	(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
✓	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
▶	61.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (*.f64 3 (sqrt.f64 1/2))))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (+.f64 (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1)) (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))))
✓	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))
	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) -7/2))))))
✓	59.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	59.2b	(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))))
✓	60.7b	(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (PI.f64))
	59.3b	(.f64 1/2 (+.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)) (PI.f64))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
▶	59.1b	(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
✓	59.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
	59.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) -2)))))
▶	59.2b	(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 (.f64 (PI.f64) 4) (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (+.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 3/2)))))))
	59.1b	(.f64 -2 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2) (/.f64 1/2 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))))

Compiler

Compiled 1360 to 1234 computations (9.3% saved)

localize104.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
	8.3b	(-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
✓	59.3b	(-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2)))

Compiler

Compiled 208 to 174 computations (16.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2)))
0.0ms	x	@	inf	(-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2)))
0.0ms	x	@	-inf	(-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2)))
0.0ms	x	@	0	(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
0.0ms	x	@	inf	(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`rational.json-simplify-57`
824×	`rational.json-simplify-30`
768×	`rational.json-simplify-29`
676×	`rational.json-1`
676×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	99	62
2	293	62
3	1474	62
4	7976	62

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (*.f64 -1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 (PI.f64) 0) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)) (*.f64 1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (*.f64 1 (-.f64 (*.f64 (PI.f64) 0) (*.f64 (asin.f64 (sqrt.f64 (+.f64 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1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))))))

simplify157.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-27`
1046×	`rational.json-simplify-33`
1004×	`rational.json-simplify-29`
542×	`rational.json-simplify-51`
524×	`rational.json-simplify-32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	9912
1	1222	7858
2	5395	7638

Stop Event

1×	node limit

Counts

174 → 216

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) (.f64 3 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) (.f64 3 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) (.f64 3 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(-.f64 (+.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64))) (.f64 3 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 0) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)) (*.f64 1/2 (PI.f64)))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1 (-.f64 (.f64 (PI.f64) 0) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))))
(+.f64 (*.f64 1/2 (PI.f64)) (/.f64 -1 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 0)
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (*.f64 -1/2 (PI.f64))) 0))
(+.f64 0 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 1/2 (-.f64 (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))) 2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (/.f64 -1 (/.f64 1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (*.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (/.f64 -1 (/.f64 -1 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)))))
(+.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)))
(+.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) (.f64 1 (neg.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5))))
(+.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) (/.f64 -1 (/.f64 1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (/.f64 -1 (.f64 (/.f64 2 (PI.f64)) -1)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (/.f64 -1 (/.f64 1 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (*.f64 1/2 (PI.f64))))))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (.f64 -1 (+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (.f64 -1/2 (PI.f64)))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (/.f64 -1 (/.f64 1 (+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (*.f64 -1/2 (PI.f64))))))
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(+.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(+.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))) (/.f64 -1 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) -1)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (neg.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 1 (neg.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (/.f64 -1 (/.f64 1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (*.f64 -1/2 (PI.f64))))))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (.f64 -1/2 (PI.f64))) (PI.f64))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (.f64 -1/2 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1 (-.f64 (*.f64 -1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1 (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (*.f64 -1/2 (PI.f64)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (/.f64 (-.f64 (.f64 -1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) -1))
(+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (.f64 -1/2 (PI.f64))))
(+.f64 (PI.f64) (/.f64 -1 (/.f64 1 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (*.f64 -1/2 (PI.f64))))
(+.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (.f64 -1/2 (PI.f64))) 0) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -6) (.f64 -1 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (.f64 -1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -6) (/.f64 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (.f64 -1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2)) -1))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3))
(+.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)) (.f64 1/2 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))))
(+.f64 (-.f64 (.f64 (PI.f64) 0) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2)) (*.f64 1/2 (PI.f64)))
(+.f64 (neg.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1/2) (.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (PI.f64)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 1/2) (.f64 1/2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))))
(+.f64 (.f64 (.f64 1/2 (PI.f64)) 1/2) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))))
(+.f64 (.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) 1/2) (.f64 1/2 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)))))
(.f64 -1/2 (neg.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2)))
(.f64 -1/2 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) 2))
(.f64 -1/2 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (.f64 -1/2 (PI.f64))) (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (/.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (PI.f64)) -1)))
(.f64 -1/2 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 -1/2 (PI.f64))) (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5) (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))))))
(.f64 -1/2 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) (PI.f64))))
(.f64 -1/2 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 3)))
(.f64 -1/2 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64))) (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))))
(.f64 1/2 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2))
(.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (*.f64 -1/2 (PI.f64))) 2)))
(.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))))
(.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 1)
(.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)))
(.f64 1 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)))
(.f64 1 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (.f64 -1/2 (PI.f64))) 2)))
(.f64 1 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 -1/2 (PI.f64))) 2)))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (*.f64 -1/2 (PI.f64))) -1)
(.f64 -1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (*.f64 -1/2 (PI.f64))))
(.f64 -1 (-.f64 (-.f64 (.f64 (PI.f64) 0) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2)))
(.f64 -1 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))) 2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (*.f64 -1/2 (PI.f64)))))
(.f64 -1 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64)))))
(.f64 -1 (-.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)))
(.f64 -1 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64)))))
(.f64 -1 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))) 2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (*.f64 -1/2 (PI.f64)))))
(.f64 -1 (-.f64 (+.f64 (PI.f64) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64)))) (.f64 2 (PI.f64))))
(.f64 -1 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)) (.f64 (.f64 1/2 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) 2)))
(.f64 -1 (-.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 3) (.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2) 2)))
(.f64 -1 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64)))) (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) 2)))
(.f64 2 (/.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)))))
(.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2) 1/2)
(.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) 2) -1/2)
(/.f64 1/2 (/.f64 1 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2)))
(/.f64 1/2 (/.f64 -1 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (*.f64 -1/2 (PI.f64))) 2)))
(/.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 1)
(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))))
(/.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) -1)
(/.f64 -1 (/.f64 -1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))))
(/.f64 -1 (/.f64 1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64)))))
(/.f64 (-.f64 (-.f64 (.f64 (PI.f64) 0) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2)) -1)
(/.f64 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))) 2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 -1/2 (PI.f64)))) -1)
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (*.f64 -1/2 (PI.f64)))) -1)
(/.f64 (-.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)) -1)
(/.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (*.f64 -1/2 (PI.f64)))) -1)
(/.f64 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3) (.f64 -1/2 (PI.f64))) 2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64)))) -1)
(/.f64 (-.f64 (+.f64 (PI.f64) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64)))) (*.f64 2 (PI.f64))) -1)
(/.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5)) (.f64 (.f64 1/2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (PI.f64))) 2)) -1)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 3) (.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2)) 2) 2)) -1)
(/.f64 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64)))) (.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) 2)) -1)
(/.f64 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)) 1)
(/.f64 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (*.f64 -1/2 (PI.f64))) 2)) 1)
(/.f64 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (*.f64 -1/2 (PI.f64))) 2)) 1)
(neg.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)
(+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (.f64 1/2 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (/.f64 -1 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(+.f64 0 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (/.f64 -1 (/.f64 1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (/.f64 -1 (/.f64 -1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1/2) (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) 1/2) (*.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(+.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) 1/2) (.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3)))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (+.f64 0 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 10)))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) 2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 7))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1/2) (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) 1/2) (*.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5) 1/2) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3)))
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 10) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 12)))
(.f64 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) 1/2)
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) -1/2)
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) -1)
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) 1/4)
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(.f64 2 (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(/.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1)
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) -1)
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))

Outputs
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))
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(.f64 -1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 4) (-.f64 (+.f64 (.f64 (PI.f64) -1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 6)) (.f64 2 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 4)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 8) (+.f64 (.f64 (PI.f64) -1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 6))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -4) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 2)))
(/.f64 (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4)) 1)
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -3) (.f64 (PI.f64) -1/2)))
(-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))) (.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))))
(/.f64 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (*.f64 -1/2 (PI.f64))) 2)) 1)
(.f64 1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 4) (-.f64 (.f64 (PI.f64) -1/2) (.f64 2 (+.f64 (.f64 (PI.f64) -1/2) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))))))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 4) (-.f64 (.f64 (PI.f64) -1/2) (.f64 2 (+.f64 (.f64 (PI.f64) -1/2) (*.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))))))))
(/.f64 (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 -1/2 (PI.f64))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (*.f64 -1/2 (PI.f64))) 2)) 1)
(.f64 1 (-.f64 (+.f64 (.f64 (PI.f64) -1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 6)) (.f64 2 (+.f64 (.f64 (PI.f64) -1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 4)))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 6) (-.f64 (.f64 (PI.f64) -1/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 8) (.f64 2 (*.f64 (PI.f64) -1/2)))))
(neg.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (.f64 -1/2 (PI.f64))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) -3) (.f64 (PI.f64) -1/2)))
(-.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))) (.f64 (PI.f64) -1/2))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (.f64 1/2 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (/.f64 -1 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 0 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (/.f64 -1 (/.f64 1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (/.f64 -1 (/.f64 -1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -3))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1/2) (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) 1/2) (*.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(+.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) 1/2) (.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (+.f64 0 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 6) (.f64 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 10)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 0) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) 2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 7))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1/2) (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3) 1/2) (*.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 5) 1/2) (.f64 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 10) (*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 12)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(.f64 1/2 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(*.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 2) 1/2)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) -2) -1/2)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) -1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) 1/4)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(.f64 2 (.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(/.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) -1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2))))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2))))
✓	1.0b	(*.f64 3 (sqrt.f64 1/2))
✓	2.0b	(-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2)))
✓	61.8b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (*.f64 3 (sqrt.f64 1/2))))))

Compiler

Compiled 66 to 64 computations (3% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`rational.json-simplify-13`
1032×	`rational.json-simplify-14`
806×	`rational.json-simplify-11`
802×	`rational.json-simplify-21`
548×	`rational.json-simplify-25`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	120
1	100	54
2	273	54
3	1185	54

Stop Event

1×	node limit

Counts

4 → 358

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (*.f64 3 (sqrt.f64 1/2))))))
(-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2)))
(*.f64 3 (sqrt.f64 1/2))
(asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (.f64 3 (sqrt.f64 1/2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 (asin.f64 (sqrt.f64 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 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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)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 4 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 6) (.f64 2 (.f64 4 (asin.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.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 1 (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 4 (asin.f64 (sqrt.f64 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))))))

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational.json-simplify-3`
1340×	`rational.json-simplify-14`
1134×	`rational.json-simplify-21`
966×	`rational.json-simplify-11`
734×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	714	13308
1	2584	13014

Stop Event

1×	node limit

Counts

358 → 621

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 3/2))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (PI.f64)) (-.f64 0 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (PI.f64)) (-.f64 (.f64 2 (PI.f64)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) (-.f64 (asin.f64 (sqrt.f64 1/2)) (+.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) -1/2))))
(+.f64 (asin.f64 (sqrt.f64 1/2)) (-.f64 (asin.f64 (sqrt.f64 1/2)) (-.f64 (.f64 (PI.f64) 0) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (*.f64 (PI.f64) -1/2)))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 0 (+.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 0) (+.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) -1/2))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 0 (-.f64 (.f64 (PI.f64) 0) (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 0) (-.f64 (.f64 (PI.f64) 0) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 (PI.f64) -1/2) (-.f64 0 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 (PI.f64) 3/2) (-.f64 (.f64 2 (PI.f64)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (*.f64 (PI.f64) 0))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (-.f64 0 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 0 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)))
(+.f64 (PI.f64) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)))
(+.f64 (PI.f64) (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (*.f64 (PI.f64) -1/2)))
(+.f64 (PI.f64) (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (*.f64 1/2 (PI.f64))))
(+.f64 (PI.f64) (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (PI.f64) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) -1/2)) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (PI.f64) (-.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 (asin.f64 (sqrt.f64 1/2)))) (.f64 1/2 (PI.f64))) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
(+.f64 (PI.f64) (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (.f64 2 (PI.f64)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (neg.f64 (PI.f64))))
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(+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (neg.f64 (PI.f64)) (-.f64 0 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
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(+.f64 (.f64 2 (PI.f64)) (-.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (+.f64 (.f64 2 (PI.f64)) (*.f64 (PI.f64) 3/2)))))
(+.f64 (.f64 2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 3/2)))
(+.f64 (.f64 2 (PI.f64)) (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (.f64 (PI.f64) 3/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (*.f64 1/2 (PI.f64)))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) -1/2)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
(+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) -1/2)) (-.f64 0 (-.f64 0 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2)))
(+.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (-.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 3)))
(+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 3/2)) (-.f64 0 (-.f64 (.f64 2 (PI.f64)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 3/2)) (-.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (.f64 2 (PI.f64))))
(+.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (+.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) -1/2))))
(+.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (-.f64 (.f64 (PI.f64) 0) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
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(-.f64 (sqrt.f64 1/2) (-.f64 0 (*.f64 2 (sqrt.f64 1/2))))
(-.f64 (*.f64 4 (sqrt.f64 1/2)) (sqrt.f64 1/2))
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(-.f64 (.f64 (sqrt.f64 1/2) 3) (.f64 (sqrt.f64 1/2) 0))
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(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) -7)) (*.f64 (sqrt.f64 1/2) -8))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 4 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) 3))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) 5)) (.f64 (sqrt.f64 1/2) 3))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) 9)) (.f64 (sqrt.f64 1/2) 7))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) 16))) (.f64 (sqrt.f64 1/2) 15))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) 3)) (*.f64 2 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) 8)) (*.f64 (sqrt.f64 1/2) 7))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) 7)) (*.f64 (sqrt.f64 1/2) 6))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) 16)) (*.f64 (sqrt.f64 1/2) 15))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) 15)) (+.f64 (.f64 (sqrt.f64 1/2) 8) (.f64 (sqrt.f64 1/2) 6)))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 1/2)) (+.f64 (.f64 (sqrt.f64 1/2) 16) (.f64 (sqrt.f64 1/2) 16))) (+.f64 (.f64 (sqrt.f64 1/2) 16) (*.f64 (sqrt.f64 1/2) 15)))
(-.f64 (+.f64 0 (.f64 (.f64 (sqrt.f64 1/2) 8) 3)) (*.f64 (sqrt.f64 1/2) 21))
(-.f64 (+.f64 0 (.f64 (.f64 (sqrt.f64 1/2) 16) 3)) (.f64 3 (.f64 (sqrt.f64 1/2) 15)))
(-.f64 (/.f64 (.f64 2 (sqrt.f64 1/2)) 1/3) (.f64 (sqrt.f64 1/2) 3))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) -7) 3) (.f64 3 (.f64 (sqrt.f64 1/2) -8)))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/2) 8) 1/3) (/.f64 (.f64 (sqrt.f64 1/2) 7) 1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/2) 7) 1/3) (/.f64 (.f64 (sqrt.f64 1/2) 6) 1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/2) 16) 1/3) (/.f64 (.f64 (sqrt.f64 1/2) 15) 1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/2) 15) 1/3) (/.f64 (+.f64 (.f64 (sqrt.f64 1/2) 8) (*.f64 (sqrt.f64 1/2) 6)) 1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/2) 5) 1/3) (.f64 (sqrt.f64 1/2) 12))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/2) -3) 1/3) (/.f64 (.f64 (sqrt.f64 1/2) -4) 1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/2) -7) 1/3) (/.f64 (.f64 (sqrt.f64 1/2) -8) 1/3))
(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 1/2) 16) (.f64 (sqrt.f64 1/2) 16)) 1/3) (/.f64 (+.f64 (.f64 (sqrt.f64 1/2) 16) (.f64 (sqrt.f64 1/2) 15)) 1/3))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) 5) 3) (*.f64 (sqrt.f64 1/2) 12))
(-.f64 (.f64 (.f64 4 (sqrt.f64 1/2)) -3) (.f64 -3 (.f64 (sqrt.f64 1/2) 5)))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) 3) -3) (.f64 -3 (.f64 4 (sqrt.f64 1/2))))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) 7) -3) (.f64 -3 (.f64 (sqrt.f64 1/2) 8)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 1/2)) -3) (*.f64 (sqrt.f64 1/2) -9))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) 15) -3) (.f64 -3 (.f64 (sqrt.f64 1/2) 16)))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) 9) 1/2) (.f64 1/2 (.f64 (sqrt.f64 1/2) 3)))
(-.f64 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) 16) (.f64 (sqrt.f64 1/2) 16)) 3) (.f64 3 (+.f64 (.f64 (sqrt.f64 1/2) 16) (.f64 (sqrt.f64 1/2) 15))))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) 6) -3) (.f64 -3 (.f64 (sqrt.f64 1/2) 7)))
(-.f64 (.f64 (.f64 (sqrt.f64 1/2) 14) -3) (.f64 -3 (.f64 (sqrt.f64 1/2) 15)))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 1/2)) 6))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 1/2)) 3))
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(/.f64 3 (/.f64 1 (sqrt.f64 1/2)))
(/.f64 (*.f64 (sqrt.f64 1/2) 3) 1)
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(/.f64 (*.f64 (sqrt.f64 1/2) -3) -1)
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 1/2) -3)))
(/.f64 (neg.f64 (sqrt.f64 1/2)) -1/3)
(/.f64 -3 (/.f64 (/.f64 1 (sqrt.f64 1/2)) -1))
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(/.f64 -3 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(/.f64 -3 (-.f64 0 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 3/2 (/.f64 1/2 (sqrt.f64 1/2)))
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(/.f64 (.f64 (.f64 (sqrt.f64 1/2) -6) 1/2) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 1/2) 21) (.f64 (*.f64 (sqrt.f64 1/2) 8) 3)) -1)
(/.f64 (-.f64 (.f64 3 (.f64 (sqrt.f64 1/2) 15)) (.f64 (.f64 (sqrt.f64 1/2) 16) 3)) -1)
(/.f64 (-.f64 (-.f64 0 (*.f64 2 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2))) -1/3)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 1/2) 8) (.f64 (sqrt.f64 1/2) 6)) (*.f64 (sqrt.f64 1/2) 15)) -1/3)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 1/2) 16) (.f64 (sqrt.f64 1/2) 15)) (+.f64 (.f64 (sqrt.f64 1/2) 16) (.f64 (sqrt.f64 1/2) 16))) -1/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 1/2) -6) (.f64 (sqrt.f64 1/2) -3)) -1)
(neg.f64 (*.f64 (sqrt.f64 1/2) -3))
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(+.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 0))
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(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
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(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(-.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 0))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 0) (.f64 (asin.f64 (sqrt.f64 1/2)) 0)))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
(-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 0) (asin.f64 (sqrt.f64 1/2))))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
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(-.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/2) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (.f64 2 (.f64 4 (asin.f64 (sqrt.f64 1/2)))) 1/2) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(.f64 2 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(.f64 4 (.f64 1/2 (*.f64 1/2 (asin.f64 (sqrt.f64 1/2)))))
(.f64 1/2 (.f64 2 (asin.f64 (sqrt.f64 1/2))))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) 1/2)
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) -1/2)
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(.f64 -1 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(.f64 -2 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) 1/4)
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) -1/4)
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(.f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) 3)))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 6) (.f64 2 (.f64 4 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 1/2 (/.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 1/2))))
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(/.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 1/2) 1/2)
(/.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1/2) -1)
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 4 (asin.f64 (sqrt.f64 1/2)))) -1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))

Outputs
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) 0)) (-.f64 (.f64 1/2 (PI.f64)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (PI.f64) 0)) (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 4)))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) 2)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 4) (-.f64 (.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (.f64 (PI.f64) 3/2))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 (PI.f64) 3/2))))
(-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (PI.f64) 3/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (.f64 (PI.f64) 3/2)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (PI.f64)) (-.f64 0 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (PI.f64)) (neg.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 2))))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (-.f64 (.f64 1/2 (PI.f64)) (PI.f64))) (neg.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) 2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -4))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (PI.f64)) (-.f64 (.f64 2 (PI.f64)) (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2)) 2) (-.f64 (.f64 (PI.f64) 2) (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 1/2)) 2)))))
(+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 1/2)) -4)) (-.f64 (PI.f64) (-.f64 (.f64 (PI.f64) 2) (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) 2)))))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 2 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 1/2)) -2))) (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))
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(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (asin.f64 (sqrt.f64 1/2)) 0))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 0) (.f64 (asin.f64 (sqrt.f64 1/2)) 0)))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 2) (asin.f64 (sqrt.f64 1/2)))
(-.f64 (.f64 2 (asin.f64 (sqrt.f64 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 0) (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) 0)))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(-.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 0)))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 (asin.f64 (sqrt.f64 1/2)) 2))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) 1/2) (*.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3/2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (.f64 2 (.f64 4 (asin.f64 (sqrt.f64 1/2)))) 1/2) (.f64 (asin.f64 (sqrt.f64 1/2)) 3))
(asin.f64 (sqrt.f64 1/2))
(.f64 2 (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 4 (.f64 1/2 (*.f64 1/2 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 1/2 (.f64 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 (.f64 2 (asin.f64 (sqrt.f64 1/2))) 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)) -2) -1/2)
(asin.f64 (sqrt.f64 1/2))
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 -1 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (*.f64 4 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(.f64 -2 (.f64 1/2 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 4 (asin.f64 (sqrt.f64 1/2))) 1/4)
(asin.f64 (sqrt.f64 1/2))
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2)) -1/4)
(.f64 -1/2 (.f64 (asin.f64 (sqrt.f64 1/2)) -2))
(asin.f64 (sqrt.f64 1/2))
(.f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) 3)))
(.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3/2) (.f64 1/2 (asin.f64 (sqrt.f64 1/2))))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 6) (.f64 2 (.f64 4 (asin.f64 (sqrt.f64 1/2))))))
(.f64 -1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 6) (.f64 2 (.f64 (asin.f64 (sqrt.f64 1/2)) 4))))
(-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 6) -1/2) (*.f64 (asin.f64 (sqrt.f64 1/2)) -4))
(/.f64 1/2 (/.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 1 (/.f64 1 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 -1 (/.f64 1 (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 -1 (-.f64 0 (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(/.f64 -1 (neg.f64 (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) 1/2) 1/2)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) 1/2) -1)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 3) (.f64 4 (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))

localize120.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))
✓	0.1b	(+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
	8.2b	(+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))

Compiler

Compiled 197 to 169 computations (14.2% saved)

series24.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
0.0ms	x	@	inf	(+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
0.0ms	x	@	-inf	(+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
0.0ms	x	@	0	(/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))
0.0ms	x	@	inf	(/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`rational.json-simplify-19`
918×	`rational.json-simplify-5`
738×	`rational.json-simplify-13`
596×	`rational.json-simplify-1`
590×	`rational.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	88
1	129	82
2	333	82
3	1450	82

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

Inputs

(+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))

(/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -10 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))) (/.f64 -8 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (/.f64 12 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -10 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 6 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -10 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -20 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))) (/.f64 -8 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -10 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (/.f64 -20 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -20 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 6 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 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-1/2)))) 4) (PI.f64))) (-.f64 0 (/.f64 -8 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64))) (/.f64 (/.f64 -8 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 6 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64))) (-.f64 0 (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -10 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64))) (-.f64 0 (+.f64 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -20 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x 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simplify172.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-23`
948×	`rational.json-simplify-19`
914×	`rational.json-simplify-1`
890×	`rational.json-simplify-15`
764×	`rational.json-simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	8686
1	1101	8438
2	4879	8344

Stop Event

1×	node limit

Counts

174 → 219

Calls

Call 1

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

Outputs
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(.f64 4 (.f64 1/2 (-.f64 0 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (PI.f64) -1/4)))))
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 4 (.f64 1 (.f64 1/2 (-.f64 0 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 (PI.f64) -1/4))))))
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -8) (.f64 (PI.f64) 2)) 1/4)
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 -1/4 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -1/2))
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 -1/8 (/.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -8) (.f64 (PI.f64) 2)) -1/2))
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) -16) -8)
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 1/4 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -8) (.f64 (PI.f64) 2)))
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 (-.f64 0 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (*.f64 (PI.f64) -1/4))) 2)
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 (/.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)) 8) 4)
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(.f64 (+.f64 (.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) (PI.f64))) (.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64)))) -1/2)
(neg.f64 (.f64 -1/2 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(.f64 1/2 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 -1/2 (PI.f64)))
(.f64 (.f64 1/2 (-.f64 0 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (PI.f64) -1/4)))) 4)
(.f64 1/2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
(.f64 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (*.f64 (PI.f64) -1/4)) -2)
(neg.f64 (.f64 1/2 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) (PI.f64))))
(neg.f64 (.f64 -1/2 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))))
(.f64 1/2 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2) (*.f64 -1/2 (PI.f64)))

localize132.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
	8.2b	(+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) -2))
✓	8.6b	(+.f64 (.f64 (PI.f64) 4) (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (+.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 3/2)))))

Compiler

Compiled 229 to 189 computations (17.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`rational.json-simplify-5`
1184×	`rational.json-simplify-13`
1148×	`rational.json-simplify-11`
608×	`rational.json-simplify-9`
606×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	132	55
2	320	55
3	1417	41

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

Inputs
(+.f64 (.f64 (PI.f64) 4) (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (+.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 3/2)))))

Outputs

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simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational.json-simplify-34`
1006×	`rational.json-simplify-25`
722×	`rational.json-simplify-51`
654×	`rational.json-simplify-3`
612×	`rational.json-simplify-31`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	8577
1	882	7437
2	3942	6679

Stop Event

1×	node limit

Counts

99 → 155

Calls

Call 1

Inputs
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 (PI.f64) 4) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)))
(-.f64 (.f64 (PI.f64) 4) (-.f64 (.f64 (PI.f64) 8) (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (.f64 (PI.f64) 8))))
(-.f64 (.f64 (PI.f64) 4) (-.f64 (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (.f64 (PI.f64) 8)) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))))
(-.f64 (.f64 (PI.f64) 4) (+.f64 (.f64 (PI.f64) 0) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) 7/2))))
(-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (-.f64 (+.f64 (.f64 (PI.f64) 7/2) (.f64 4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) (.f64 (PI.f64) 4)))
(-.f64 (.f64 (PI.f64) 2) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 3/2)))
(-.f64 (.f64 (PI.f64) 2) (-.f64 (+.f64 (.f64 (PI.f64) 4) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 3/2))) (.f64 (PI.f64) 4)))
(-.f64 (.f64 (PI.f64) 2) (-.f64 (+.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 2)) (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (*.f64 (PI.f64) 8))))
(-.f64 (.f64 (PI.f64) 7/2) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 2 (.f64 (PI.f64) 7/2))) (.f64 (PI.f64) 4)))
(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)) (+.f64 (.f64 -2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (.f64 (PI.f64) -4)))
(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)) (+.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) 0) (+.f64 (.f64 -2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (.f64 (PI.f64) -4))))
(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)) (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (.f64 (PI.f64) -4)) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) 0)))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (.f64 (PI.f64) -4))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (-.f64 (+.f64 (.f64 (PI.f64) 4) (.f64 2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)))) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (-.f64 (.f64 2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (+.f64 (.f64 (PI.f64) 4) (.f64 2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))))))
(-.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (+.f64 (.f64 2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (+.f64 (.f64 -2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (.f64 (PI.f64) -4))))
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) 0)
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -7/2)) 0))
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) (.f64 (PI.f64) 0))
(-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) (+.f64 (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) 0) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -7/2)) 0)))
(-.f64 0 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2)))
(-.f64 (.f64 (PI.f64) -4) (-.f64 0 (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (*.f64 (PI.f64) 8))))
(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (-.f64 0 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))))
(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (/.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) -1))
(-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (.f64 -1 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))))
(-.f64 (.f64 -2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)) (+.f64 (.f64 (PI.f64) 4) (.f64 2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))))))
(-.f64 (.f64 (PI.f64) 8) (-.f64 (.f64 (PI.f64) 4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -7/2))))
(-.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))
(-.f64 (.f64 2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) (.f64 (PI.f64) -4)))
(-.f64 (+.f64 (.f64 -2 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (.f64 (PI.f64) -4)) (-.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))))
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(-.f64 (-.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) 0)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))
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(-.f64 (-.f64 (+.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))) (.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2)) 0)) (+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))))
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(.f64 1/2 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))))
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(.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) 1)
(.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))
(.f64 -1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)))
(.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) -1)
(.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/2)
(.f64 (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))) -1/2)
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(/.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) 1)
(/.f64 1 (/.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))))
(/.f64 -1 (/.f64 1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))))
(/.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2)) -1)
(/.f64 (.f64 (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))) 1/2) -1)
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))) -1)
(neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2)))

Outputs
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (+.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 3/2))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)))
(.f64 -1/2 (+.f64 (.f64 4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1)))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (+.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 3/2))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) 7/2)))
(.f64 -1/2 (+.f64 (.f64 4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1)))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 3/2 (PI.f64)))))
(-.f64 (.f64 4 (PI.f64)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (+.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 3/2))))
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(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -1/2))
(.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -1/2))
(.f64 -1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)))
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) -1)
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(.f64 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))) 1/2)
(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -1/2))
(.f64 (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))) -1/2)
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(/.f64 1/2 (/.f64 1 (.f64 2 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -1/2))
(/.f64 1/2 (/.f64 -1 (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)))))
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) 1)
(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -1/2))
(/.f64 1 (/.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) -1/2))
(/.f64 -1 (/.f64 1 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))))
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(/.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2)) -1)
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(/.f64 (.f64 (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))) 1/2) -1)
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2)) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (.f64 (PI.f64) -1/2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2))) -1)
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))
(neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (*.f64 (PI.f64) -1/2)))
(-.f64 (+.f64 (.f64 (PI.f64) 8) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (.f64 (PI.f64) -7/2))) (-.f64 (.f64 (PI.f64) 8) (.f64 4 (PI.f64))))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (+.f64 (.f64 4 (PI.f64)) (.f64 (PI.f64) -7/2)))
(+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2) (*.f64 (PI.f64) 1/2))

localize236.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))) -1))))
✓	0.1b	(-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
	1.0b	(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
	8.2b	(+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))

Compiler

Compiled 343 to 295 computations (14% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))) -1))))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))) -1))))
1.0ms	x	@	inf	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))) -1))))
1.0ms	x	@	inf	(-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))
0.0ms	x	@	0	(-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`rational.json-simplify-55`
1058×	`rational.json-simplify-51`
1054×	`rational.json-1`
1054×	`rational.json-2`
1054×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	138
1	195	88
2	687	82
3	4108	82

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs

(-.f64 (/.f64 -2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))

(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))) -1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -1 (/.f64 1 (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -1 (/.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -8) (*.f64 (PI.f64) 2)) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -1 (/.f64 -1 (/.f64 6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 10 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -16 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (-.f64 (/.f64 14 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 4 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))) (/.f64 -1 (/.f64 (+.f64 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simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-16`
1052×	`rational.json-simplify-5`
954×	`rational.json-simplify-7`
834×	`rational.json-simplify-14`
770×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	262	8457
1	728	6263
2	2751	6263

Stop Event

1×	node limit

Counts

147 → 144

Calls

Call 1

Inputs
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(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (PI.f64)))
(/.f64 4 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (PI.f64)))
(/.f64 2 (-.f64 (.f64 8 (/.f64 1 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (PI.f64)))) (.f64 4 (/.f64 1 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (PI.f64))))))
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(.f64 1/2 (+.f64 (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (PI.f64)))
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Outputs
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eval3.2s (17%)

Compiler: Compiled 126639 to 110468 computations (12.8% saved)

prune1.7s (9.2%)

Pruning

38 alts after pruning (27 fresh and 11 done)

	Pruned	Kept	Total
New	2947	17	2964
Fresh	1	10	11
Picked	1	0	1
Done	1	11	12
Total	2950	38	2988

Error

57.0b

Counts

2988 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (.f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))) -1))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (+.f64 (/.f64 32 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (neg.f64 (/.f64 28 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))) -1))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (+.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (/.f64 -1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 2/3) (*.f64 (PI.f64) -1/6))))) -1))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 10 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))) (/.f64 14 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
	59.2b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (.f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))
	59.2b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) -4)))))))
✓	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (.f64 (/.f64 20 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) 1) (/.f64 24 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (/.f64 -4 (-.f64 (/.f64 20 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (/.f64 24 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
	59.2b	(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))
	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (/.f64 8 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))))
✓	59.1b	(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
✓	59.1b	(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
✓	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
✓	61.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (*.f64 3 (sqrt.f64 1/2))))))
	59.6b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (+.f64 (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1)) (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))))
✓	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))
	59.2b	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) -7/2))))))
✓	59.1b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.3b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	59.2b	(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))))
✓	60.7b	(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (PI.f64))
	59.1b	(.f64 1/2 (+.f64 (-.f64 (/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
	59.3b	(.f64 1/2 (+.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)) (PI.f64))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
	59.3b	(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3)) 3) (.f64 (PI.f64) 1/2))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
	59.1b	(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))))
✓	59.1b	(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
	59.1b	(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2)))))
	59.2b	(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 4))))))
	59.2b	(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (-.f64 (-.f64 (.f64 (PI.f64) 4) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) (.f64 (PI.f64) 7/2))))
✓	59.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
	59.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) -2)))))
	59.1b	(.f64 1/2 (+.f64 (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (/.f64 -1 (/.f64 1 (+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (.f64 -1/2 (PI.f64)))))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
	59.1b	(.f64 1/2 (+.f64 (.f64 1/2 (-.f64 (-.f64 (.f64 (PI.f64) 1) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
	59.2b	(.f64 1/2 (+.f64 (.f64 1/2 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 5)))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
	61.3b	(.f64 -1/2 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (+.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
	59.1b	(.f64 -2 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2) (/.f64 1/2 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))))

Compiler

Compiled 1374 to 1241 computations (9.7% saved)

regimes156.0ms (0.8%)

Counts

46 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (PI.f64))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)) (PI.f64))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 1/2)) (*.f64 3 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) (.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 3))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 4 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 3 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 3/2 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))) -7/2))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2) (.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))) 3)))))
(-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 -1/2 (PI.f64))))
(/.f64 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) 1)
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) 3/2) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))) -3) (.f64 -1/2 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))))))
(.f64 -2 (-.f64 (.f64 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)) -1/2) (/.f64 1/2 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 10 (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))) (/.f64 14 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (.f64 (/.f64 20 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) 1) (/.f64 24 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -10 (/.f64 8 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
(.f64 -1/2 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) 2) (+.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 1/2)) -2))))))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (+.f64 (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) 1)) (.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))))
(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 -1/2 (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (+.f64 (.f64 (PI.f64) 2) (*.f64 1/2 (PI.f64)))))))
(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (-.f64 (-.f64 (.f64 (PI.f64) 4) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))) (.f64 (PI.f64) 7/2))))
(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))))
(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 (.f64 (PI.f64) 4) (neg.f64 (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (+.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 3/2)))))))
(.f64 1/2 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) -2)) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) -2)))))
(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (+.f64 (PI.f64) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) -4))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) -4)))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (.f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) -4))) (/.f64 6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4)))))))
(.f64 1/2 (+.f64 (.f64 1/2 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) (-.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))) 5)))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))))
(.f64 1/2 (+.f64 (.f64 1/2 (-.f64 (-.f64 (.f64 (PI.f64) 1) (.f64 3 (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))))) (asin.f64 (sqrt.f64 (+.f64 1/2 (/.f64 x -2)))))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(.f64 1/2 (+.f64 (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2)))) (/.f64 -1 (/.f64 1 (+.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) (.f64 -1/2 (PI.f64)))))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(.f64 1/2 (+.f64 (-.f64 (/.f64 1 (/.f64 1 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))))) -1))))
(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (+.f64 (/.f64 32 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (neg.f64 (/.f64 28 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))) -1))))
(/.f64 1 (/.f64 1 (/.f64 -2 (+.f64 (/.f64 6 (/.f64 -4 (-.f64 (/.f64 20 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (/.f64 24 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))))))))) (/.f64 -10 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4)))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (-.f64 (/.f64 2 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (/.f64 6 (/.f64 -4 (-.f64 (/.f64 20 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (/.f64 24 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))))))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (+.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 -4 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))))) (/.f64 -1 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 2/3) (*.f64 (PI.f64) -1/6))))) -1))))
(.f64 1/2 (+.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)) (PI.f64))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) -2)))))
(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 3) (.f64 (PI.f64) 1/2))) (+.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2)))) (-.f64 (.f64 (PI.f64) 3/2) (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) 4))))))
(.f64 1/2 (+.f64 (-.f64 (asin.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) 1/2))) (-.f64 (.f64 (-.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 4) (.f64 (asin.f64 (sqrt.f64 (+.f64 (/.f64 x -2) 1/2))) 3)) 3) (.f64 (PI.f64) 1/2))) (-.f64 (PI.f64) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))))
(/.f64 1 (/.f64 1 (/.f64 -2 (/.f64 (-.f64 (/.f64 8 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -4))) (-.f64 (/.f64 -2 (+.f64 (PI.f64) (.f64 (.f64 -1/2 (-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 3))) -4))) (/.f64 -6 (+.f64 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -4))))) -1))))

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

Calls

7 calls:

46.0ms	x
6.0ms	(/.f64 (-.f64 1 x) 2)
6.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(-.f64 1 x)
5.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Error	Segments	Branch
58.5b	1	`x`
58.5b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.5b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.5b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.5b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.5b	1	`(/.f64 (-.f64 1 x) 2)`
58.5b	1	`(-.f64 1 x)`

Compiler

Compiled 1659 to 1446 computations (12.8% saved)

regimes28.0ms (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 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (PI.f64))

Outputs

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

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

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

Calls

7 calls:

10.0ms	x
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(-.f64 1 x)
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Error	Segments	Branch
57.8b	3	`x`
59.1b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
59.1b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
59.1b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
59.1b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
59.1b	1	`(/.f64 (-.f64 1 x) 2)`
59.1b	1	`(-.f64 1 x)`

Compiler

Compiled 102 to 89 computations (12.7% saved)

bsearch113.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.5755434353004635e-18	1.3438683889597635e-16
81.0ms	-1.4479630708278322e-155	-1.4197262363718726e-162

Results

78.0ms	144×	body	1024	valid
16.0ms	112×	body	256	valid

Compiler

Compiled 502 to 468 computations (6.8% saved)

regimes25.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

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

Results

Error	Segments	Branch
59.1b	1	`x`
59.1b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
59.1b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
59.1b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
59.1b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
59.1b	1	`(/.f64 (-.f64 1 x) 2)`
59.1b	1	`(-.f64 1 x)`

Compiler

Compiled 91 to 80 computations (12.1% saved)

regimes17.0ms (0.1%)

Accuracy

Total -2.2b remaining (-3.8%)

Threshold costs -2.2b (-3.8%)

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

Results

Error	Segments	Branch
59.1b	1	`x`
59.1b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
59.1b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
59.1b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
59.1b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
59.1b	1	`(/.f64 (-.f64 1 x) 2)`
59.1b	1	`(-.f64 1 x)`

Compiler

Compiled 74 to 65 computations (12.2% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	321

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)) (PI.f64))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (PI.f64)) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -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 (+.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2) (*.f64 (PI.f64) -1/2)) (PI.f64))
(if (<=.f64 x -6686231141263319/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2)))) (if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (+.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) -2) (.f64 (PI.f64) -1/2)) (PI.f64)) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 1/2 (PI.f64)) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -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 108 to 97 computations (10.2% saved)

soundness0.0ms (0%)

end88.0ms (0.5%)

Compiler: Compiled 104 to 89 computations (14.4% saved)