Metrics for Ian Simplification

analyze6.0ms (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: 3.0ms

Operation ival-div, time spent: 1.0ms, 31.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 31.0% of total-time

Operation ival-asin, time spent: 1.0ms, 31.0% of total-time

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

Operation ival-sub, 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

sample4.1s (11.6%)

Results

2.3s	4058×	1024	valid
734.0ms	2039×	512	valid
408.0ms	1852×	256	valid
268.0ms	306×	2048	valid
0.0ms	4×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

Operation ival-asin, time spent: 1.4s, 52.0% of total-time

Operation ival-div, time spent: 307.0ms, 12.0% of total-time

Operation ival-sub, time spent: 306.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 285.0ms, 11.0% of total-time

Operation ival-mult, time spent: 195.0ms, 7.0% of total-time

Operation ival-pi, time spent: 115.0ms, 4.0% of total-time

Operation const, time spent: 62.0ms, 2.0% of total-time

Bogosity

preprocess956.0ms (2.7%)

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
256	-	-	`(-.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: 624.0ms

Operation ival-asin, time spent: 325.0ms, 52.0% of total-time

Operation ival-div, time spent: 134.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 64.0ms, 10.0% of total-time

Operation ival-sub, time spent: 56.0ms, 9.0% of total-time

Operation ival-mult, time spent: 26.0ms, 4.0% of total-time

Operation const, time spent: 13.0ms, 2.0% 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)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.0%	(-.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)

localize386.0ms (1.1%)

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)))
✓	7.6%	(-.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: 289.0ms

Operation ival-asin, time spent: 134.0ms, 46.0% of total-time

Operation ival-mult, time spent: 46.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 42.0ms, 15.0% of total-time

Operation ival-div, time spent: 30.0ms, 10.0% of total-time

Operation ival-sub, time spent: 28.0ms, 10.0% of total-time

Operation const, time spent: 6.0ms, 2.0% of total-time

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

series13.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
2.0ms	x	@	-inf	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
1.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms	x	@	0	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

rewrite246.0ms (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))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 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))))
(/.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) (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 (neg.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))) (neg.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 (neg.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))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 1)
(pow.f64 (cbrt.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)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -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))))
(log.f64 (+.f64 1 (expm1.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))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 1))
(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
(fma.f64 (PI.f64) 1/2 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2) 1))
(fma.f64 2 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 (PI.f64) 1/2) 1 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 (.f64 (PI.f64) 1/2) 1 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1))
(fma.f64 1 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(fma.f64 1 (.f64 (PI.f64) 1/2) (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 1))
(fma.f64 1 (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)))))))
(fma.f64 1 (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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(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)))))))
(+.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))))
(/.f64 1 (/.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (.f64 (PI.f64) 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))))
(/.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) (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 (neg.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))) (neg.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 (neg.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))) (neg.f64 (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) (.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)) 1)
(pow.f64 (cbrt.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)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -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))))
(log.f64 (+.f64 1 (expm1.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))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
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(.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))))
(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 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.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 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 -1/2 (.f64 (sqrt.f64 1/2) x)))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) 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 (fma.f64 -1/2 (sqrt.f64 1/2) (.f64 (*.f64 (sqrt.f64 1/2) x) -1/8))))
(fma.f64 x (.f64 (sqrt.f64 1/2) (+.f64 -1/2 (.f64 x -1/8))) (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 1/2) (.f64 x (fma.f64 -1/2 (sqrt.f64 1/2) (.f64 x (fma.f64 -1/8 (sqrt.f64 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) -1/16))))))
(fma.f64 x (fma.f64 x (.f64 (sqrt.f64 1/2) (+.f64 -1/8 (.f64 x -1/16))) (*.f64 (sqrt.f64 1/2) -1/2)) (sqrt.f64 1/2))
(fma.f64 x (fma.f64 (sqrt.f64 1/2) -1/2 (.f64 (.f64 (sqrt.f64 1/2) x) (+.f64 -1/8 (*.f64 x -1/16)))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(.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 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1))) (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))))
(.f64 x (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1))) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x))))))
(.f64 x (fma.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 1/2 3/2) (sqrt.f64 -1)))))
(.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 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1))) (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x))))))
(.f64 x (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1))) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))))))
(.f64 x (+.f64 (fma.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 1/2 3/2) (sqrt.f64 -1)))) (.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1))))))
(.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 x (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1))) (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))))))
(.f64 x (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1))) (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x))))))))
(.f64 x (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)))) (fma.f64 1/16 (.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 1/2 3/2) (sqrt.f64 -1)))))))
(.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 1/2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 x) (neg.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -1))))
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(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
(fma.f64 -1 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2))
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(.f64 (+.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (-.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
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(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
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(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) -2))
(fma.f64 1/2 (PI.f64) (.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))) -2))
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(-.f64 (.f64 1/2 (PI.f64)) (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 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 (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))))
(.f64 1 (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))))
(.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))))
(.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))
(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))))
(.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))))))
(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))))
(.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))))))
(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))))
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(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (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))))))))
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(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 1)
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(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2))
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(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))))))
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(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))))
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(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))))
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(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
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(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
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(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(-.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)))))
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(-.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)))))
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(-.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)))

eval158.0ms (0.5%)

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

prune65.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	231	14	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	231	15	246

Accuracy

9.3%

Counts

246 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(fma.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))) (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)))))))
▶	5.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	5.8%	(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)))))))
	5.8%	(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)))))))
▶	6.0%	(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))
	6.0%	(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))
	5.9%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	6.0%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	6.0%	(/.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)))
▶	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
	5.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.0%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	6.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))

Compiler

Compiled 862 to 785 computations (8.9% saved)

localize7.2s (20.5%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	98.5%	(cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))
✓	98.5%	(pow.f64 (cbrt.f64 (.f64 2 (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))))
✓	6.1%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (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%	(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))))
✓	6.1%	(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))))
✓	7.7%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
✓	7.6%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -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)))))
✓	7.6%	(-.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 335 to 280 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0s

Operation ival-asin, time spent: 2.7s, 45.0% of total-time

Operation ival-mult, time spent: 879.0ms, 15.0% of total-time

Operation ival-sqrt, time spent: 704.0ms, 12.0% of total-time

Operation ival-exp, time spent: 472.0ms, 8.0% of total-time

Operation ival-acos, time spent: 437.0ms, 7.0% of total-time

Operation ival-sub, time spent: 283.0ms, 5.0% of total-time

Operation composed, time spent: 138.0ms, 2.0% of total-time

Operation ival-add, time spent: 115.0ms, 2.0% of total-time

Operation ival-log, time spent: 102.0ms, 2.0% of total-time

Operation const, time spent: 63.0ms, 1.0% of total-time

Operation ival-div, time spent: 61.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 50.0ms, 1.0% of total-time

Operation ival-neg, time spent: 15.0ms, 0.0% of total-time

Operation ival-pow, time spent: 14.0ms, 0.0% of total-time

Operation ival-pi, time spent: 8.0ms, 0.0% of total-time

series121.0ms (0.3%)

Counts

17 → 192

Calls

48 calls:

Time	Variable		Point	Expression
65.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2)
4.0ms	x	@	-inf	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
4.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2)

rewrite215.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`associate-r`
298×	`associate-l`
277×	`log1p-expm1-u`
277×	`expm1-log1p-u`
270×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	637
1	638	427

Stop Event

1×	node limit

Counts

17 → 640

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))
(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)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (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))))
(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))))))

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

simplify500.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1144×	`cancel-sign-sub-inv`
1076×	`distribute-lft-in`
836×	`fma-neg`
750×	`distribute-lft-neg-in`
740×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	683	38840
1	1404	37343
2	4430	37285

Stop Event

1×	node limit

Counts

832 → 440

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))))
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(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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))) 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))
(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 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))) 1)
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 1)
(.f64 1 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(.f64 -1 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(neg.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) 1))
(+.f64 0 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 0 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(.f64 1 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 2) (neg.f64 (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 2))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 -2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)))
(.f64 -1 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3) (pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)))
(*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(.f64 (.f64 -1 (cbrt.f64 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)) (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (.f64 -1 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 0 (+.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (.f64 0 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(/.f64 (-.f64 0 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (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))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3)
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (asin.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) (PI.f64)))
(-.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)))))))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.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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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.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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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
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(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.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 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
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(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
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(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
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(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
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(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
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(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
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(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
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(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
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(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
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(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
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(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
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(sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 1/2)
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(fma.f64 x (fma.f64 -1/16 (/.f64 x (sqrt.f64 1/2)) (/.f64 -1/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
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(fma.f64 x (fma.f64 x (fma.f64 -1/128 (/.f64 x (pow.f64 (sqrt.f64 1/2) 5)) (/.f64 -1/16 (sqrt.f64 1/2))) (/.f64 -1/4 (sqrt.f64 1/2))) (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 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2))) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 1 x)))))
(.f64 x (fma.f64 1/4 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1/2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 1 x)))))
(.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 (fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2))) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 1 x))))))
(.f64 x (fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 -2 (sqrt.f64 -1/2))) (fma.f64 1/4 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1/2)) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 1 x))))))
(.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 x (fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 3))) (fma.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 (sqrt.f64 -1/2) 5))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 -1/2))) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 1 x)))))))
(.f64 x (fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 -2 (sqrt.f64 -1/2))) (fma.f64 1/128 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (pow.f64 (sqrt.f64 -1/2) 5)) (fma.f64 1/4 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1/2)) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 1 x)))))))
(.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 1/2) (sqrt.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 -1))))
(.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))))))
(neg.f64 (.f64 x (fma.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 1/2) (sqrt.f64 -1))))))
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(neg.f64 (.f64 x (fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3))) (fma.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 1/2) (sqrt.f64 -1)))))))
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(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 (cbrt.f64 -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 -2))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 -2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))
(*.f64 (neg.f64 (cbrt.f64 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)))) (neg.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (neg.f64 (cbrt.f64 2)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (neg.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (.f64 -1 (cbrt.f64 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)))) (neg.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (neg.f64 (cbrt.f64 2)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)) (cbrt.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(.f64 (.f64 -1 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6)) (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (+.f64 0 (+.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) (.f64 0 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))))
(.f64 2 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 0)))
(/.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
(/.f64 (-.f64 0 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4))) (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 3)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3)
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(neg.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 4)))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) 4)))
(fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1/3))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))

eval440.0ms (1.3%)

Compiler: Compiled 16130 to 14032 computations (13% saved)

prune139.0ms (0.4%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	562	9	571
Fresh	0	9	9
Picked	1	4	5
Done	0	1	1
Total	563	23	586

Accuracy

9.4%

Counts

586 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
	5.8%	(fma.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))) (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)))))))
▶	5.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)) (.f64 (PI.f64) 1/2))
	5.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (cbrt.f64 2))) (*.f64 (PI.f64) 1/2))
✓	5.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	5.8%	(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)))))))
	5.8%	(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)))))))
	5.7%	(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))
▶	6.1%	(fma.f64 (.f64 -2 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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))))))) (sqrt.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 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	6.0%	(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))
	6.0%	(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))
	5.9%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
▶	6.0%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	6.0%	(/.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)))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
▶	5.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))
	5.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.1%	(log.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (/.f64 4 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))))))
	6.0%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	6.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))

Compiler

Compiled 1257 to 1142 computations (9.1% saved)

localize12.1s (34.7%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	98.5%	(pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2)
✓	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))))
✓	10.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)) (.f64 (PI.f64) 1/2))
✓	98.5%	(sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 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))))
✓	6.1%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
✓	99.0%	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
✓	98.9%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
	98.5%	(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
	7.6%	(fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -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))))
✓	98.4%	(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
✓	6.1%	(fma.f64 (.f64 -2 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))

Compiler

Compiled 584 to 490 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.1s

Operation ival-asin, time spent: 2.8s, 25.0% of total-time

Operation ival-acos, time spent: 2.7s, 25.0% of total-time

Operation ival-sqrt, time spent: 1.7s, 16.0% of total-time

Operation ival-mult, time spent: 1.2s, 11.0% of total-time

Operation composed, time spent: 1.0s, 9.0% of total-time

Operation ival-pow, time spent: 630.0ms, 6.0% of total-time

Operation ival-add, time spent: 377.0ms, 3.0% of total-time

Operation ival-sub, time spent: 321.0ms, 3.0% of total-time

Operation ival-div, time spent: 118.0ms, 1.0% of total-time

Operation const, time spent: 115.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 63.0ms, 1.0% of total-time

Operation ival-neg, time spent: 10.0ms, 0.0% of total-time

Operation ival-pi, time spent: 6.0ms, 0.0% of total-time

series46.0ms (0.1%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(fma.f64 (.f64 -2 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
6.0ms	x	@	inf	(fma.f64 (.f64 -2 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
4.0ms	x	@	-inf	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2)))
4.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)) (.f64 (PI.f64) 1/2))
3.0ms	x	@	-inf	(fma.f64 (.f64 -2 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))

rewrite142.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`log1p-expm1-u`
327×	`expm1-log1p-u`
320×	`pow1`
318×	`add-cube-cbrt`
316×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	459
1	821	405

Stop Event

1×	node limit

Counts

8 → 244

Calls

Call 1

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

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

simplify531.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1044×	`fma-neg`
788×	`distribute-lft-neg-in`
734×	`distribute-rgt-neg-in`
538×	`associate-r`
494×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	608	20716
1	1467	19199
2	4537	18431

Stop Event

1×	node limit

Counts

340 → 333

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.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 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (.f64 (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (.f64 (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.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)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (neg.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))))) (.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) 1) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.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 (pow.f64 (PI.f64) 2) 1/4) (.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))) 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)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.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 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (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 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (sqrt.f64 (.f64 (asin.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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (sqrt.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) 2))) (+.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))) (.f64 1/2 (PI.f64)))))) (.f64 1/2 (PI.f64)))
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(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) 1) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (/.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(.f64 (/.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)))))) (sqrt.f64 (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)))) (/.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 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (neg.f64 (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)) (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)) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (neg.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (*.f64 (PI.f64) 1/2) (acos.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)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (PI.f64) (*.f64 1/2 (acos.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)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (.f64 (PI.f64) (*.f64 1/2 (acos.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)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.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)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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)) (fma.f64 1/2 (PI.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)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(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)))) 3)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 1/2)
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(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))
(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)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 3) (pow.f64 (fma.f64 1/2 (PI.f64) (acos.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)))))
(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 1/2 (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 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 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (.f64 1/2 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.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))))

eval939.0ms (2.7%)

Compiler: Compiled 26160 to 22616 computations (13.5% saved)

prune119.0ms (0.3%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	652	7	659
Fresh	3	10	13
Picked	4	1	5
Done	0	5	5
Total	659	23	682

Accuracy

9.4%

Counts

682 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.0%	(fma.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
	5.8%	(fma.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))) (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)))))))
	5.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 1/6) 2)) (*.f64 (PI.f64) 1/2))
	5.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (cbrt.f64 2))) (*.f64 (PI.f64) 1/2))
✓	5.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	5.8%	(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)))))))
	5.8%	(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)))))))
	5.9%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (PI.f64) 1/2))
	6.1%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
✓	6.0%	(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))
	6.0%	(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))
▶	5.9%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
▶	7.6%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))) 3)
	6.0%	(pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
	6.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
✓	5.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))
▶	5.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	6.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	6.1%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))))
	6.0%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	6.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))

Compiler

Compiled 1177 to 1071 computations (9% saved)

localize3.8s (10.9%)

Localize:

Found 20 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 1/2 x))))
✓	7.7%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))))
✓	6.1%	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))
✓	98.5%	(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2)
	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))))
✓	10.5%	(fma.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (neg.f64 (cbrt.f64 (.f64 2 (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))))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	5.8%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
✓	100.0%	(/.f64 2 (-.f64 1 x))
✓	98.5%	(/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x))))
✓	98.5%	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
✓	100.0%	(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
✓	99.0%	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2)))
✓	98.9%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))) 3)
✓	7.6%	(fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))

Compiler

Compiled 484 to 399 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.3s

Operation ival-asin, time spent: 980.0ms, 30.0% of total-time

Operation ival-mult, time spent: 410.0ms, 13.0% of total-time

Operation ival-sqrt, time spent: 408.0ms, 12.0% of total-time

Operation composed, time spent: 339.0ms, 10.0% of total-time

Operation ival-log, time spent: 332.0ms, 10.0% of total-time

Operation ival-acos, time spent: 229.0ms, 7.0% of total-time

Operation ival-pow, time spent: 118.0ms, 4.0% of total-time

Operation ival-sub, time spent: 116.0ms, 4.0% of total-time

Operation ival-add, time spent: 115.0ms, 4.0% of total-time

Operation ival-div, time spent: 112.0ms, 3.0% of total-time

Operation const, time spent: 51.0ms, 2.0% of total-time

Operation ival-exp, time spent: 31.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 25.0ms, 1.0% of total-time

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

Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series64.0ms (0.2%)

Counts

16 → 172

Calls

45 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
10.0ms	x	@	0	(fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 (PI.f64) 1/2))
4.0ms	x	@	0	(fma.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
3.0ms	x	@	inf	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2)))
2.0ms	x	@	-inf	(cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2)))

rewrite198.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

376×	`log1p-expm1-u`
376×	`expm1-log1p-u`
370×	`add-cube-cbrt`
368×	`add-exp-log`
368×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	632
1	1014	616

Stop Event

1×	node limit

Counts

16 → 351

Calls

Call 1

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

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

simplify285.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

918×	`distribute-lft-in`
898×	`distribute-rgt-in`
538×	`fma-define`
534×	`associate-r`
502×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	899	17179892256
1	1916	17179891044
2	5134	17179890051

Stop Event

1×	node limit

Counts

523 → 558

Calls

Call 1

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

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

eval992.0ms (2.8%)

Compiler: Compiled 36740 to 31734 computations (13.6% saved)

prune200.0ms (0.6%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1033	11	1044
Fresh	5	7	12
Picked	3	2	5
Done	0	6	6
Total	1041	26	1067

Accuracy

9.5%

Counts

1067 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
	5.8%	(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)))))))
	6.1%	(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (*.f64 (PI.f64) 1/2))
✓	6.0%	(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))
	6.0%	(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))
	5.8%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/4) 2)) -2))
✓	5.9%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	6.0%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) -2))
	6.0%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 3/2))) -2))
	6.0%	(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
	4.4%	(pow.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (.f64 (PI.f64) 1/2)) 3) 1/3)
	5.8%	(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (.f64 (PI.f64) 1/2))) 3)
	7.6%	(pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))) 3)
	6.0%	(pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
	6.0%	(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 3)
	6.0%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
✓	7.6%	(-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 (+.f64 1/2 (.f64 x -1/2)))))))
✓	5.6%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2)))))
✓	5.9%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
	4.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 2)))))
✓	6.0%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	6.1%	(log.f64 (exp.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) 1/2))))
	6.0%	(log.f64 (exp.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))))
	6.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))))
	4.4%	(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (.f64 (PI.f64) 1/2))))

Compiler

Compiled 1666 to 1467 computations (11.9% saved)

regimes49.0ms (0.1%)

Counts

42 → 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)))))))
(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 (cbrt.f64 (+.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.f64 1/2 (PI.f64)))) 3)
(pow.f64 (cbrt.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (.f64 1/2 (PI.f64)))) 3)
(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))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))) 3)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 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 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2))) 3)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 2) (.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 3/2))) -2))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (.f64 -1/2 x)) 1/4) 2)) -2))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (.f64 (asin.f64 (log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x)))))) -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))
(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))
(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))))) (sqrt.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) (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 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) 3)
(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (*.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/3) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))))) (.f64 (PI.f64) 1/2))
(fma.f64 (.f64 -2 (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (sqrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (cbrt.f64 2))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) 1/6) 2)) (*.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (fma.f64 (.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 x))))) (*.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 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2)))))) 2) (neg.f64 (pow.f64 (pow.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1/6) 2)) (.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (neg.f64 (cbrt.f64 (.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (.f64 -1/2 x))))))) (.f64 (PI.f64) 1/2)) 3) 1/3)
(fma.f64 (.f64 -2 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (.f64 x 1/2))))) (.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2) (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (/.f64 4 (fma.f64 1/2 (PI.f64) (.f64 2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 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 (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))) (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 (.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)))))))

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:

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

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
7.6%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
7.6%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
7.6%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
7.6%	1	`(/.f64 (-.f64 1 x) 2)`
7.6%	1	`(-.f64 1 x)`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes22.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

Calls

7 calls:

8.0ms	x
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Accuracy	Segments	Branch
7.8%	2	`x`
6.0%	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
6.0%	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
6.0%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
6.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
6.0%	1	`(/.f64 (-.f64 1 x) 2)`
6.0%	1	`(-.f64 1 x)`

Compiler

Compiled 51 to 44 computations (13.7% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
6.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (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:

6.0ms

Results

Accuracy	Segments	Branch
5.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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
4.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch74.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
74.0ms	-3.187449807218161e-159	-7.89762087926163e-163

Results

66.0ms	127×	1024	valid
0.0ms	1×	1024	valid

Compiler

Compiled 258 to 240 computations (7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

Operation ival-asin, time spent: 27.0ms, 56.0% of total-time

Operation ival-div, time spent: 5.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 10.0% of total-time

Operation ival-sub, time spent: 4.0ms, 8.0% of total-time

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

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

Operation const, time spent: 1.0ms, 2.0% of total-time

bsearch97.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
97.0ms	-3.365276979055572e-308	2.599650325570712e-307

Results

88.0ms	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: 69.0ms

Operation ival-asin, time spent: 45.0ms, 65.0% of total-time

Operation ival-div, time spent: 6.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 9.0% 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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

576×	`unsub-neg`
308×	`neg-mul-1`
208×	`distribute-lft-neg-in`
164×	`distribute-neg-out`
112×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	306
1	86	306
2	138	306
3	173	306
4	221	306
5	264	306
6	284	306
7	414	306
8	752	306
9	1003	306
10	1032	306
11	1077	306
12	1114	306
13	1162	306
14	1192	306
15	1213	306
16	1216	306
17	1223	306

Stop Event

1×	fuel
1×	saturated

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)))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2))))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.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 (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))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (/.f64 (PI.f64) 2) (acos.f64 (sqrt.f64 1/2))))))
(if (<=.f64 x -3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 2 (-.f64 (acos.f64 (sqrt.f64 1/2)) (/.f64 (PI.f64) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.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 98 to 89 computations (9.2% saved)

soundness518.0ms (1.5%)

Rules

1153×	`log1p-expm1-u`
1153×	`expm1-log1p-u`
1153×	`log1p-expm1-u`
1153×	`expm1-log1p-u`
812×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	232	84
2	3138	84
0	392	9523
1	875	9242
2	2485	8848
3	6616	8746
0	16	88
1	232	84
2	3138	84

Stop Event

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

Compiler

Compiled 446 to 344 computations (22.9% saved)

end0.0ms (0%)

preprocess80.0ms (0.2%)

Compiler: Compiled 222 to 192 computations (13.5% saved)

analyze6.0ms (0%)

sample4.1s (11.6%)

preprocess956.0ms (2.7%)

eval2.0ms (0%)

prune1.0ms (0%)

localize386.0ms (1.1%)

series13.0ms (0%)

rewrite246.0ms (0.7%)

simplify179.0ms (0.5%)

eval158.0ms (0.5%)

prune65.0ms (0.2%)

localize7.2s (20.5%)

series121.0ms (0.3%)

rewrite215.0ms (0.6%)

simplify500.0ms (1.4%)

eval440.0ms (1.3%)

prune139.0ms (0.4%)

localize12.1s (34.7%)

series46.0ms (0.1%)

rewrite142.0ms (0.4%)

simplify531.0ms (1.5%)

eval939.0ms (2.7%)

prune119.0ms (0.3%)

localize3.8s (10.9%)

series64.0ms (0.2%)

rewrite198.0ms (0.6%)

simplify285.0ms (0.8%)

eval992.0ms (2.8%)

prune200.0ms (0.6%)

regimes49.0ms (0.1%)

regimes22.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

bsearch74.0ms (0.2%)

bsearch97.0ms (0.3%)

simplify54.0ms (0.2%)

soundness518.0ms (1.5%)

end0.0ms (0%)

preprocess80.0ms (0.2%)

Profiling