Metrics for Ian Simplification

analyze14.0ms (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)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-sub, time spent: 9.0ms, 78.0% of total-time

Operation ival-div, time spent: 1.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 9.0% of total-time

Operation ival-asin, time spent: 1.0ms, 9.0% of total-time

Operation ival-pi, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample5.3s (14.8%)

Results

3.0s	4121×	1024	valid
882.0ms	2055×	512	valid
427.0ms	1806×	256	valid
301.0ms	273×	2048	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

Operation ival-asin, time spent: 1.7s, 48.0% of total-time

Operation ival-sub, time spent: 732.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 378.0ms, 11.0% of total-time

Operation ival-div, time spent: 345.0ms, 10.0% of total-time

Operation ival-mult, time spent: 206.0ms, 6.0% of total-time

Operation ival-pi, time spent: 106.0ms, 3.0% of total-time

Operation const, time spent: 60.0ms, 2.0% of total-time

Bogosity

preprocess814.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

466×	`fma-neg`
362×	`fma-define`
118×	`cancel-sign-sub-inv`
104×	`sub-neg`
98×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
0	-	-	`(PI.f64)`
0	-	-	`x`
0	-	-	`(/.f64 (PI.f64) 2)`
0	-	-	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
0	-	-	`(/.f64 (-.f64 1 x) 2)`
0	-	-	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
0	-	-	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
0	-	-	`(-.f64 1 x)`
0	-	-	`2`
0	-	-	`1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	188
1	55	180
2	105	164
3	224	152
4	382	144
5	610	144
6	798	144
7	982	144
8	1086	144
9	1124	144
10	1131	144

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 118 to 99 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

Operation ival-asin, time spent: 239.0ms, 49.0% of total-time

Operation ival-sqrt, time spent: 71.0ms, 15.0% of total-time

Operation ival-sub, time spent: 68.0ms, 14.0% of total-time

Operation ival-div, time spent: 63.0ms, 13.0% of total-time

Operation ival-mult, time spent: 27.0ms, 6.0% of total-time

Operation const, time spent: 13.0ms, 3.0% of total-time

Operation ival-pi, time spent: 6.0ms, 1.0% of total-time

eval2.0ms (0%)

Compiler: Compiled 59 to 50 computations (15.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(-.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)

localize338.0ms (1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	7.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

Operation ival-asin, time spent: 119.0ms, 51.0% of total-time

Operation ival-div, time spent: 32.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 31.0ms, 13.0% of total-time

Operation ival-sub, time spent: 27.0ms, 12.0% of total-time

Operation ival-mult, time spent: 14.0ms, 6.0% of total-time

Operation const, time spent: 6.0ms, 3.0% of total-time

Operation ival-pi, time spent: 3.0ms, 1.0% of total-time

series8.0ms (0%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))>
#<alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))>
#<alt (sqrt.f64 (/.f64 (-.f64 1 x) 2))>

Outputs
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (sqrt.f64 1/2)>
#<alt (+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 x (sqrt.f64 1/2))))>
#<alt (+.f64 (sqrt.f64 1/2) (.f64 x (+.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 -1/8 (.f64 x (sqrt.f64 1/2))))))>
#<alt (+.f64 (sqrt.f64 1/2) (.f64 x (+.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 x (+.f64 (.f64 -1/8 (sqrt.f64 1/2)) (.f64 -1/16 (.f64 x (sqrt.f64 1/2))))))))>
#<alt (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))>
#<alt (.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))>
#<alt (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))>
#<alt (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))>
#<alt (.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))))>

Calls

9 calls:

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

rewrite252.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1153×	`log1p-expm1-u`
1153×	`expm1-log1p-u`
680×	`fma-define`
390×	`fma-neg`
386×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	232	84
2	3138	84

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

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

simplify179.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

812×	`*-commutative`
526×	`unsub-neg`
488×	`distribute-lft-in`
478×	`distribute-rgt-in`
476×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	392	9523
1	875	9242
2	2485	8848
3	6616	8746

Stop Event

1×	node limit

Counts

197 → 245

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 x (+.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 -1/8 (.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (.f64 x (+.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 x (+.f64 (.f64 -1/8 (sqrt.f64 1/2)) (.f64 -1/16 (.f64 x (sqrt.f64 1/2))))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))
(.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))
(.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))
(.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))
(.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(.f64 -1 (.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))
(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3) 8)) (/.f64 1 (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(fma.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(fma.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (/.f64 1 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2 (.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) (cbrt.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (sqrt.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2)) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1)
(.f64 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 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 1))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (neg.f64 (PI.f64)) -1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 1)
(.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))) 1)
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (-.f64 1/2 (.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1/2 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 2)))
(.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 x 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (-.f64 1/2 (.f64 x 1/2))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 1))

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

eval436.0ms (1.2%)

Compiler: Compiled 6400 to 5526 computations (13.7% saved)

prune60.0ms (0.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	230	15	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	230	16	246

Accuracy

9.3%

Counts

246 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
▶	6.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	1.4%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
	6.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3) 8)) (fma.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))
▶	7.7%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
▶	6.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) 2))))
	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
▶	6.3%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	6.2%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	1.4%	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	6.3%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3))

Compiler

Compiled 626 to 577 computations (7.8% saved)

localize6.8s (19.2%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	6.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	7.8%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
✓	7.8%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
✓	100.0%	(pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4)
✓	98.5%	(asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2))
✓	98.5%	(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)
✓	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) 2))))
✓	98.4%	(asin.f64 (sqrt.f64 1/2))
✓	100.0%	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))
✓	100.0%	(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
✓	100.0%	(-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
✓	7.8%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))

Compiler

Compiled 308 to 256 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.8s

Operation ival-asin, time spent: 2.1s, 36.0% of total-time

Operation ival-mult, time spent: 829.0ms, 14.0% of total-time

Operation ival-acos, time spent: 654.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 516.0ms, 9.0% of total-time

Operation ival-pow, time spent: 468.0ms, 8.0% of total-time

Operation ival-sub, time spent: 403.0ms, 7.0% of total-time

Operation ival-exp, time spent: 328.0ms, 6.0% of total-time

Operation ival-div, time spent: 214.0ms, 4.0% of total-time

Operation ival-log, time spent: 101.0ms, 2.0% of total-time

Operation composed, time spent: 75.0ms, 1.0% of total-time

Operation const, time spent: 65.0ms, 1.0% of total-time

Operation ival-add, time spent: 62.0ms, 1.0% of total-time

Operation ival-pi, time spent: 9.0ms, 0.0% of total-time

series32.0ms (0.1%)

Counts

17 → 192

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))>
#<alt (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))>
#<alt (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))>
#<alt (asin.f64 (sqrt.f64 1/2))>
#<alt (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) 2))))>
#<alt (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2)>
#<alt (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4) 2))>
#<alt (pow.f64 (-.f64 1/2 (*.f64 x 1/2)) 1/4)>
#<alt (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))>
#<alt (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))>
#<alt (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))>
#<alt (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))>
#<alt (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))>
#<alt (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))>

Outputs
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (sqrt.f64 1/2)>
#<alt (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))>
#<alt (+.f64 (sqrt.f64 1/2) (.f64 x (-.f64 (.f64 -1/32 (/.f64 x (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))))))>
#<alt (+.f64 (sqrt.f64 1/2) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 -1/128 (/.f64 x (pow.f64 (sqrt.f64 1/2) 5))) (.f64 1/32 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 -1/2))>
#<alt (.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2))))>
#<alt (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2)))))>
#<alt (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2))))))>
#<alt (.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))>
#<alt (sqrt.f64 1/2)>
#<alt (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))>
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#<alt (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2))))))>
#<alt (.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(- (/ (PI) 2) (* 2 (asin (pow (pow (- 1/2 (* x 1/2)) 1/4) 2))))
1.0ms	x	@	inf	(sqrt (+ 1/2 (* x -1/2)))
1.0ms	x	@	-inf	(sqrt (+ 1/2 (* x -1/2)))
1.0ms	x	@	inf	(pow (- 1/2 (* x 1/2)) 1/4)
1.0ms	x	@	0	(- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (* x -1/2)))))))

rewrite174.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

420×	`associate-r`
274×	`associate-l`
264×	`log1p-expm1-u`
264×	`expm1-log1p-u`
254×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	605
1	627	395

Stop Event

1×	node limit

Counts

17 → 633

Calls

Call 1

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

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

simplify571.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-neg`
902×	`distribute-lft-in`
894×	`distribute-rgt-in`
732×	`distribute-lft-neg-in`
718×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	660	37787
1	1432	36355
2	4515	36191

Stop Event

1×	node limit

Counts

825 → 410

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 x (-.f64 (.f64 -1/32 (/.f64 x (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 -1/128 (/.f64 x (pow.f64 (sqrt.f64 1/2) 5))) (.f64 1/32 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1/2))
(.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2))))
(.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2)))))
(.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2))))))
(.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(.f64 -1 (.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 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))))))
(-.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))))
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(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)
(fabs.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(.f64 (.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/8)) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(.f64 (.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(/.f64 (sqrt.f64 (-.f64 1/8 (.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (.f64 (*.f64 1/2 x) (fma.f64 x -1/2 1/2)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 1/8)) (sqrt.f64 (+.f64 1/4 (-.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 x)))))
(pow.f64 (fma.f64 x -1/2 1/2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) 2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) 1/4)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))

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

eval381.0ms (1.1%)

Compiler: Compiled 11943 to 10238 computations (14.3% saved)

prune141.0ms (0.4%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	440	7	447
Fresh	1	9	10
Picked	1	4	5
Done	0	1	1
Total	442	21	463

Accuracy

9.5%

Counts

463 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
	6.1%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	6.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	6.3%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (PI.f64) 1/2))
	6.1%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)) (*.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	1.4%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
▶	6.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	7.7%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
▶	5.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))
✓	6.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) 2))))
▶	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.3%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
▶	6.2%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	1.4%	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	6.3%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3))

Compiler

Compiled 744 to 688 computations (7.5% saved)

localize9.1s (25.8%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	98.5%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	98.5%	(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
✓	6.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (PI.f64) 1/2))
✓	100.0%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)
✓	99.6%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	7.8%	(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
✓	100.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
✓	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	7.8%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
✓	100.0%	(sqrt.f64 (/.f64 2 (-.f64 1 x)))
✓	98.5%	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	98.5%	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	7.8%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))

Compiler

Compiled 400 to 335 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.8s

Operation ival-asin, time spent: 3.6s, 41.0% of total-time

Operation composed, time spent: 1.3s, 14.0% of total-time

Operation ival-sqrt, time spent: 1.0s, 11.0% of total-time

Operation ival-mult, time spent: 649.0ms, 7.0% of total-time

Operation ival-acos, time spent: 612.0ms, 7.0% of total-time

Operation ival-log, time spent: 586.0ms, 7.0% of total-time

Operation ival-sub, time spent: 288.0ms, 3.0% of total-time

Operation ival-div, time spent: 285.0ms, 3.0% of total-time

Operation ival-exp, time spent: 282.0ms, 3.0% of total-time

Operation ival-add, time spent: 128.0ms, 1.0% of total-time

Operation const, time spent: 84.0ms, 1.0% of total-time

Operation ival-pow, time spent: 41.0ms, 0.0% of total-time

Operation ival-pi, time spent: 7.0ms, 0.0% of total-time

series34.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))>
#<alt (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))>
#<alt (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))>
#<alt (sqrt.f64 (/.f64 2 (-.f64 1 x)))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))>
#<alt (expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))>
#<alt (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))>
#<alt (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))>
#<alt (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))>
#<alt (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)>
#<alt (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (PI.f64) 1/2))>
#<alt (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))>
#<alt (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))>

Outputs
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))>
#<alt (/.f64 1 (sqrt.f64 2))>
#<alt (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 -1/8 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2)))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 -1/16 (/.f64 x (sqrt.f64 2))) (.f64 1/8 (/.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2)))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))>
#<alt (.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))>
#<alt (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))>
#<alt (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 2))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))))>
#<alt (.f64 -1 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))>
#<alt (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))>
#<alt (sqrt.f64 2)>
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#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))>

Calls

45 calls:

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

rewrite166.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`log1p-expm1-u`
326×	`expm1-log1p-u`
315×	`pow1`
314×	`add-exp-log`
314×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	568
1	758	552

Stop Event

1×	node limit

Counts

15 → 380

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(sqrt.f64 (/.f64 2 (-.f64 1 x)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (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 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)
(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 (PI.f64) 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))

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

simplify363.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1688×	`fma-neg`
1010×	`associate-r`
868×	`associate-l`
864×	`fma-define`
688×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	990	27837
1	2398	25838
2	7511	25818

Stop Event

1×	node limit

Counts

560 → 555

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 x (-.f64 (.f64 -1/8 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 -1/16 (/.f64 x (sqrt.f64 2))) (.f64 1/8 (/.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))
(.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 2))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))))
(.f64 -1 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 -1 (.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 3/8 (.f64 x (sqrt.f64 2))) (.f64 1/2 (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 x (+.f64 (.f64 5/16 (.f64 x (sqrt.f64 2))) (.f64 3/8 (sqrt.f64 2)))))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 2) (+.f64 1 (.f64 -1/4 x))))))) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 2)))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 x (-.f64 (.f64 -1/32 (/.f64 x (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 -1/128 (/.f64 x (pow.f64 (sqrt.f64 1/2) 5))) (.f64 1/32 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1/2))
(.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2))))
(.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2)))))
(.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1/2))))))
(.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(.f64 -1 (.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
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(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 1)
(.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))
(.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 2)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 3/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(exp.f64 (.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 1))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 2))) -2))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 x (-.f64 (.f64 -1/8 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 x (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/8) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 2)) -1/8 (/.f64 -1/2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 -1/16 (/.f64 x (sqrt.f64 2))) (.f64 1/8 (/.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 (/.f64 x (sqrt.f64 2)) -1/16) (/.f64 1/8 (sqrt.f64 2)))) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 x (fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 2)) -1/16 (/.f64 -1/8 (sqrt.f64 2))) (/.f64 -1/2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))
(.f64 x (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
(.f64 x (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 2) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
(.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(.f64 x (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))))
(.f64 x (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 2)))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 2) (sqrt.f64 -1))) (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))))
(.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 2))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 -1) (sqrt.f64 2))))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))))
(.f64 x (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 2))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (.f64 (sqrt.f64 2) (sqrt.f64 -1)))) (*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))))
(.f64 x (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 2)))) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 2) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))))
(.f64 -1 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(neg.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 x) (neg.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 -1 (.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(.f64 (neg.f64 x) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
(.f64 x (neg.f64 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))))))
(.f64 (neg.f64 x) (fma.f64 -1/8 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))))
(.f64 x (neg.f64 (fma.f64 -1/8 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 2))))))))
(.f64 (neg.f64 x) (fma.f64 -1/8 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/16 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))))
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(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))

eval988.0ms (2.8%)

Compiler: Compiled 29329 to 25748 computations (12.2% saved)

prune207.0ms (0.6%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	846	15	861
Fresh	1	10	11
Picked	3	2	5
Done	1	4	5
Total	851	31	882

Accuracy

9.5%

Counts

882 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 (PI.f64) 1/2))
	6.1%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)) (*.f64 (PI.f64) 1/2))
	4.7%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 1/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
▶	1.4%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
	6.2%	(/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4) (pow.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 3)) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (+.f64 (pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 1))))
▶	6.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (expm1.f64 (log1p.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
▶	6.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
	6.2%	(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 (neg.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	5.2%	(/.f64 (sqrt.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	7.7%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
✓	5.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))
✓	6.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) 2))))
✓	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
▶	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.3%	(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))))
	6.3%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	6.2%	(expm1.f64 (log1p.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	1.4%	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	6.3%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3))

Compiler

Compiled 1693 to 1543 computations (8.9% saved)

localize6.6s (18.7%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.2%	(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4))
✓	98.8%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)
✓	52.9%	(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))
✓	52.7%	(PI.f64)
	99.2%	(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	52.7%	(PI.f64)
✓	51.3%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
	99.2%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
✓	66.9%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
	52.9%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
✓	52.7%	(PI.f64)
✓	99.2%	(/.f64 1 (sqrt.f64 2))
✓	99.2%	(asin.f64 (/.f64 1 (sqrt.f64 2)))
✓	52.7%	(PI.f64)
✓	99.2%	(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6))
✓	98.7%	(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6)
✓	52.9%	(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 6)))
✓	52.7%	(PI.f64)

Compiler

Compiled 560 to 483 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.7s

Operation ival-asin, time spent: 3.0s, 52.0% of total-time

Operation ival-mult, time spent: 705.0ms, 12.0% of total-time

Operation ival-pow, time spent: 594.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 588.0ms, 10.0% of total-time

Operation composed, time spent: 268.0ms, 5.0% of total-time

Operation ival-sub, time spent: 244.0ms, 4.0% of total-time

Operation ival-cbrt, time spent: 93.0ms, 2.0% of total-time

Operation const, time spent: 89.0ms, 2.0% of total-time

Operation ival-add, time spent: 65.0ms, 1.0% of total-time

Operation ival-div, time spent: 51.0ms, 1.0% of total-time

Operation ival-pi, time spent: 4.0ms, 0.0% of total-time

series47.0ms (0.1%)

Counts

15 → 96

Calls

Call 1

Inputs
#<alt (PI.f64)>
#<alt (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 6)))>
#<alt (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6)>
#<alt (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6))>
#<alt (PI.f64)>
#<alt (asin.f64 (/.f64 1 (sqrt.f64 2)))>
#<alt (/.f64 1 (sqrt.f64 2))>
#<alt (PI.f64)>
#<alt (pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)>
#<alt (fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))>
#<alt (PI.f64)>
#<alt (PI.f64)>
#<alt (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))>
#<alt (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)>
#<alt (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4))>

Outputs
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
#<alt (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))>
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#<alt (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))>
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#<alt (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))>
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#<alt (+.f64 (.f64 -2 (sqrt.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 1/2 (PI.f64)))>
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#<alt (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))>
#<alt (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))>
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#<alt (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16))))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16))))>
#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16))))>
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#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16))))>
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#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16))))>
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#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16))))>
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#<alt (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16))))>
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#<alt (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4))>
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#<alt (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4))>
#<alt (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4))>
#<alt (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 4))>
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#<alt (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))>
#<alt (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))>
#<alt (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4))>
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#<alt (.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 4)) (cbrt.f64 16))>

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(- (pow (* (PI) 1/2) 2) (cbrt (pow (* 2 (asin (sqrt (- 1/2 (* x 1/2))))) 6)))
4.0ms	x	@	0	(- (pow (* (PI) 1/2) 2) (* (cbrt (pow (* 2 (asin (sqrt (- 1/2 (* x 1/2))))) 4)) (cbrt (* 4 (pow (asin (sqrt (- 1/2 (* x 1/2)))) 2)))))
2.0ms	x	@	-inf	(cbrt (pow (* 2 (asin (sqrt (- 1/2 (* x 1/2))))) 4))
2.0ms	x	@	0	(cbrt (pow (* 2 (asin (sqrt (- 1/2 (* x 1/2))))) 4))
2.0ms	x	@	inf	(cbrt (pow (* 2 (asin (sqrt (- 1/2 (* x 1/2))))) 4))

rewrite136.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

350×	`unpow-prod-down`
332×	`log1p-expm1-u`
332×	`expm1-log1p-u`
316×	`pow1`
312×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	428
1	765	402

Stop Event

1×	node limit

Counts

15 → 326

Calls

Call 1

Inputs
(PI.f64)
(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 6)))
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6)
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6))
(PI.f64)
(asin.f64 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(PI.f64)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3) 1/3)
(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(PI.f64)
(PI.f64)
(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))))
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 (neg.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(+.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 1))) (fma.f64 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 1 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 1)))
(+.f64 (fma.f64 1 (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 1))) (fma.f64 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 1 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 1))) (fma.f64 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 1 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 1))) (fma.f64 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 1 (.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 1)))
(.f64 1 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))))
(.f64 (fma.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)))))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 2)) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(.f64 (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 6))) (/.f64 1 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 6)))) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (+.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (-.f64 (.f64 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (.f64 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(exp.f64 (log.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) 1))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))))
(fma.f64 1 (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))) 1)
(.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(.f64 1 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 8)))
(.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) 16)
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8)) (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 4) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 4) (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
(sqrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8))
(log.f64 (pow.f64 (exp.f64 16) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 12))
(expm1.f64 (log1p.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))
(log1p.f64 (expm1.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))
(exp.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(exp.f64 (.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) 1)
(.f64 1 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8))) (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))
(.f64 (pow.f64 16 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) 1/3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))))
(.f64 (cbrt.f64 16) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))
(.f64 (.f64 (cbrt.f64 4) (cbrt.f64 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4/3)
(pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 2/3)
(pow.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) 1/3)
(pow.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) 1)
(pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(exp.f64 (.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))) 1))

simplify241.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1354×	`fma-neg`
770×	`distribute-lft-neg-in`
726×	`distribute-rgt-neg-in`
602×	`exp-prod`
520×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	4294984601
1	1102	4294983868
2	3462	4294983232

Stop Event

1×	node limit

Counts

422 → 333

Calls

Call 1

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

Outputs
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2) (cbrt.f64 64)))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (neg.f64 (cbrt.f64 64))))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 6))
(*.f64 64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 6))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2) (cbrt.f64 64))
(*.f64 (cbrt.f64 64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (.f64 -2 (sqrt.f64 (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2))
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(.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8)) (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8)))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8)))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 4) (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 4) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) 4))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))) 4) (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 4))
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 8)
(sqrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8))
(sqrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8))
(log.f64 (pow.f64 (exp.f64 16) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(log.f64 (+.f64 1 (expm1.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 12))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 12))
(expm1.f64 (log1p.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))
(*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(log1p.f64 (expm1.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))
(*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(exp.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(exp.f64 (.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1))
(*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) 0)
(.f64 1 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))))
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) 2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8))) (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(.f64 (pow.f64 16 1/3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4) 1/3))
(*.f64 (cbrt.f64 16) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8))))
(.f64 (cbrt.f64 16) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))
(*.f64 (cbrt.f64 16) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(.f64 (.f64 (cbrt.f64 4) (cbrt.f64 4)) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 4) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))))
(pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 4/3)
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)) 2/3)
(pow.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2/3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) 2/3)
(pow.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)) 1/3)
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(pow.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))) 1)
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))) 3)
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))) 8)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 8)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4))))))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)) 0)
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(exp.f64 (log.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 4)))))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(exp.f64 (.f64 (.f64 4 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2))))))) 1/3))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))) 1))
(cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4))

eval872.0ms (2.5%)

Compiler: Compiled 35490 to 31154 computations (12.2% saved)

prune204.0ms (0.6%)

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	955	8	963
Fresh	4	16	20
Picked	2	3	5
Done	0	6	6
Total	961	33	994

Accuracy

9.6%

Counts

994 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2))
✓	6.2%	(fma.f64 (.f64 -2 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1/4) 2)) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
	6.1%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3/2)) (*.f64 (PI.f64) 1/2))
	6.2%	(fma.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (neg.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	1.4%	(pow.f64 (pow.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64))) 3) 1/3)
	6.2%	(/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (neg.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (+.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4) (pow.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4) 3)) (+.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4) (+.f64 (pow.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 1))))
	7.8%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (pow.f64 64 1/3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 4)) (cbrt.f64 (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))))) (fma.f64 2 (log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 (PI.f64) 1/2)))
	6.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6))) (fma.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (*.f64 (PI.f64) 1/2)))
	6.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6))) (fma.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 3) (*.f64 (PI.f64) 1/2)))
✓	6.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (cbrt.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) 6))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	6.1%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2) (.f64 (cbrt.f64 4) (cbrt.f64 16)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 1/2)))
	6.2%	(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
	6.2%	(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) (fma.f64 (neg.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
	5.2%	(/.f64 (sqrt.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) 2))) 2)) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
✓	7.7%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
✓	5.4%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))
✓	6.2%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 1/4) 2))))
✓	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.3%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.1%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.1%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 x 1/2)) 3/2)))))
	6.3%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	6.2%	(expm1.f64 (log1p.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	1.4%	(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	6.3%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 3))

Compiler

Compiled 2280 to 2029 computations (11% saved)

regimes54.0ms (0.2%)

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

Outputs

(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 64 1/3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))

Calls

7 calls:

21.0ms	x
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
5.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
7.8%	1	`x`
7.8%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.8%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.8%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.8%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.8%	1	`(/.f64 (-.f64 1 x) 2)`
7.8%	1	`(-.f64 1 x)`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes48.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	(/.f64 (-.f64 1 x) 2)
13.0ms	x
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
7.7%	1	`x`
7.7%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.7%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.7%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.7%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.7%	1	`(/.f64 (-.f64 1 x) 2)`
7.7%	1	`(-.f64 1 x)`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes24.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	x
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Accuracy	Segments	Branch
9.2%	3	`x`
6.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
6.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.3%	1	`(/.f64 (-.f64 1 x) 2)`
6.3%	1	`(-.f64 1 x)`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes13.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
6.3%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.3%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.3%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.3%	1	`(/.f64 (-.f64 1 x) 2)`
6.3%	1	`(-.f64 1 x)`
6.3%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`

Compiler

Compiled 49 to 43 computations (12.2% saved)

regimes5.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
5.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch100.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
100.0ms	-1.5963101248977737e-307	1.9771266951885505e-308

Results

91.0ms	111×	2048	valid
1.0ms	1×	2048	valid

Compiler

Compiled 186 to 184 computations (1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

Operation ival-asin, time spent: 48.0ms, 67.0% of total-time

Operation ival-div, time spent: 6.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 8.0% of total-time

Operation ival-sub, time spent: 5.0ms, 7.0% of total-time

Operation ival-mult, time spent: 4.0ms, 6.0% of total-time

Operation ival-pi, time spent: 2.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

700×	`unsub-neg`
392×	`neg-mul-1`
252×	`distribute-lft-neg-in`
200×	`distribute-neg-out`
150×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	4294967552
1	111	4294967552
2	178	4294967552
3	218	4294967552
4	261	4294967552
5	292	4294967552
6	309	4294967552
7	483	4294967552
8	923	4294967552
9	1245	4294967552
10	1278	4294967552
11	1330	4294967552
12	1374	4294967552
13	1429	4294967552
14	1463	4294967552
15	1485	4294967552
16	1488	4294967552
17	1498	4294967552

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (pow.f64 64 1/3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (pow.f64 64 1/3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (neg.f64 (.f64 (pow.f64 64 1/3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (-.f64 0 (.f64 (pow.f64 64 1/3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2)))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (pow.f64 64 1/3) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) 2))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
(+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 1/2)))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Compiler

Compiled 116 to 107 computations (7.8% saved)

soundness590.0ms (1.7%)

Rules

1153×	`log1p-expm1-u`
1153×	`expm1-log1p-u`
812×	`*-commutative`
680×	`fma-define`
526×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	392	9523
1	875	9242
2	2485	8848
3	6616	8746
0	50	428
1	765	402
0	16	88
1	232	84
2	3138	84
0	45	568
1	758	552

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1161 to 973 computations (16.2% saved)

end0.0ms (0%)

preprocess98.0ms (0.3%)

Compiler: Compiled 256 to 224 computations (12.5% saved)

analyze14.0ms (0%)

sample5.3s (14.8%)

preprocess814.0ms (2.3%)

eval2.0ms (0%)

prune2.0ms (0%)

localize338.0ms (1%)

series8.0ms (0%)

rewrite252.0ms (0.7%)

simplify179.0ms (0.5%)

eval436.0ms (1.2%)

prune60.0ms (0.2%)

localize6.8s (19.2%)

series32.0ms (0.1%)

rewrite174.0ms (0.5%)

simplify571.0ms (1.6%)

eval381.0ms (1.1%)

prune141.0ms (0.4%)

localize9.1s (25.8%)

series34.0ms (0.1%)

rewrite166.0ms (0.5%)

simplify363.0ms (1%)

eval988.0ms (2.8%)

prune207.0ms (0.6%)

localize6.6s (18.7%)

series47.0ms (0.1%)

rewrite136.0ms (0.4%)

simplify241.0ms (0.7%)

eval872.0ms (2.5%)

prune204.0ms (0.6%)

regimes54.0ms (0.2%)

regimes48.0ms (0.1%)

regimes24.0ms (0.1%)

regimes13.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

bsearch100.0ms (0.3%)

simplify62.0ms (0.2%)

soundness590.0ms (1.7%)

end0.0ms (0%)

preprocess98.0ms (0.3%)

Profiling