Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.8s (17.2%)

Results

1.1s	4194×	body	1024	valid
338.0ms	2035×	body	512	valid
191.0ms	372×	body	2048	valid
162.0ms	1655×	body	256	valid

Bogosity

preprocess16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-def`
22×	`sub-neg`
18×	`distribute-lft-neg-in`
16×	`fma-neg`
16×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	18	22
2	30	22
3	59	22
4	96	22
5	135	22
6	159	22
7	168	22

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`sub-neg`
12×	`fma-def`
8×	`+-commutative`
6×	`associate--r+`
6×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	30	11
5	40	11
6	51	11
7	63	11
8	66	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))

Outputs
(acos.f64 (-.f64 1 x))

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

5.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(acos.f64 (-.f64 1 x))
▶	5.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize50.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	5.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(acos.f64 (-.f64 1 x))
0.0ms	x	@	0	(acos.f64 (-.f64 1 x))
0.0ms	x	@	inf	(acos.f64 (-.f64 1 x))

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`pow1`
1368×	`add-exp-log`
1366×	`log1p-expm1-u`
1366×	`expm1-log1p-u`
1344×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1795	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1020×	`fma-def`
712×	`log-prod`
616×	`associate-/l*`
494×	`associate-r`
412×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	396
1	147	392
2	495	392
3	2261	392
4	5297	392

Stop Event

1×	node limit

Counts

24 → 26

Calls

Call 1

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

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

eval17.0ms (0.2%)

Compiler: Compiled 337 to 270 computations (19.9% saved)

prune13.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Accurracy

5.7%

Counts

27 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	5.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	5.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	5.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	5.7%	(acos.f64 (-.f64 1 x))
▶	5.7%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	5.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	5.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	5.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	5.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 346 to 288 computations (16.8% saved)

localize830.0ms (8.1%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓	98.4%	(pow.f64 (*.f64 (PI.f64) 1/2) 3)
✓	98.1%	(asin.f64 (-.f64 1 x))
✓	9.1%	(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
✓	99.9%	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
✓	99.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	98.1%	(asin.f64 (-.f64 1 x))
✓	9.0%	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
✓	98.1%	(asin.f64 (-.f64 1 x))
✓	8.9%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	8.9%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	5.7%	(acos.f64 (-.f64 1 x))
✓	8.9%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	5.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 263 to 193 computations (26.6% saved)

series8.0ms (0.1%)

Counts

12 → 100

Calls

33 calls:

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

rewrite141.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`add-sqr-sqrt`
562×	`pow1`
556×	`*-un-lft-identity`
538×	`add-exp-log`
536×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	200
1	598	200

Stop Event

1×	node limit

Counts

12 → 671

Calls

Call 1

Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
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(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (-.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1) (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))) 1)
(.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)))
(.f64 (PI.f64) (.f64 1/2 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (PI.f64) (.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) 1/2)))
(.f64 1/2 (.f64 (PI.f64) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 1/4 (*.f64 (PI.f64) 1/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(.f64 (.f64 1/2 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1) (.f64 (PI.f64) 1/2))
(.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (PI.f64)) 1/2)
(.f64 (.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(.f64 (.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (PI.f64) 2)) 1/4)
(.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 1/2 (pow.f64 (PI.f64) 2))) 1/2)
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 (asin.f64 (-.f64 1 x)) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

simplify211.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1024×	`fma-def`
878×	`associate-/l*`
640×	`associate-/r*`
594×	`*-commutative`
446×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	772	31373
1	2037	28689

Stop Event

1×	node limit

Counts

771 → 472

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (.f64 1/2 (PI.f64))))
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(+.f64 (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(.f64 1 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1) (acos.f64 (-.f64 1 x)))
(.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (-.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1) (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))) 1)
(.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)))
(.f64 (PI.f64) (.f64 1/2 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (PI.f64) (.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) 1/2)))
(.f64 1/2 (.f64 (PI.f64) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 1/4 (*.f64 (PI.f64) 1/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(.f64 (.f64 1/2 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1) (.f64 (PI.f64) 1/2))
(.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 1/4 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (PI.f64)) 1/2)
(.f64 (.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(.f64 (.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (PI.f64) 2)) 1/4)
(.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 1/2 (pow.f64 (PI.f64) 2))) 1/2)
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 (asin.f64 (-.f64 1 x)) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
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(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4)) (.f64 (.f64 1/2 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) 2) (.f64 (.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 4))))
(.f64 (.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (PI.f64) 2)) 1/4)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 1/2 (pow.f64 (PI.f64) 2))) 1/2)
(.f64 1/2 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (pow.f64 (PI.f64) 2))))
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/2 (.f64 1/2 (PI.f64)))))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(sqrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/8))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(exp.f64 (.f64 3 (log.f64 (.f64 (PI.f64) 1/2))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(.f64 (asin.f64 (-.f64 1 x)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (asin.f64 (-.f64 1 x)) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(.f64 (asin.f64 (-.f64 1 x)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

eval450.0ms (4.4%)

Compiler: Compiled 24996 to 19795 computations (20.8% saved)

prune170.0ms (1.7%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	770	22	792
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	772	26	798

Accurracy

9.4%

Counts

798 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	3.9%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	3.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	9.3%	(/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	5.7%	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
✓	5.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	5.7%	(-.f64 (.f64 (PI.f64) 1/2) (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	3.9%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	9.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
▶	5.7%	(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
▶	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	5.7%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	5.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	5.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	5.7%	(acos.f64 (-.f64 1 x))
	5.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	3.9%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	3.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	9.3%	(/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.2%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	5.7%	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
✓	5.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	5.7%	(-.f64 (.f64 (PI.f64) 1/2) (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	3.9%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	9.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
▶	5.7%	(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
▶	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	5.7%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	5.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	5.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	5.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1976 to 1688 computations (14.6% saved)

localize1.2s (11.5%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓	98.5%	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
	98.1%	(asin.f64 (-.f64 1 x))
✓	9.0%	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
	98.1%	(asin.f64 (-.f64 1 x))
✓	11.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	99.9%	(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	99.5%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
✓	8.6%	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	5.7%	(acos.f64 (-.f64 1 x))
✓	100.0%	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	9.1%	(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
	5.7%	(acos.f64 (-.f64 1 x))
	98.4%	(pow.f64 (*.f64 (PI.f64) 1/2) 3)
	98.1%	(asin.f64 (-.f64 1 x))
✓	97.6%	(pow.f64 (asin.f64 (-.f64 1 x)) 4)
✓	9.1%	(-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))

Compiler

Compiled 391 to 305 computations (22% saved)

series67.0ms (0.7%)

Counts

12 → 124

Calls

33 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
18.0ms	x	@	inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
13.0ms	x	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
2.0ms	x	@	inf	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3))
2.0ms	x	@	-inf	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3))

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`add-sqr-sqrt`
750×	`pow1`
742×	`*-un-lft-identity`
714×	`add-exp-log`
714×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	330
1	798	268

Stop Event

1×	node limit

Counts

12 → 264

Calls

Call 1

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

Outputs
(+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))) (fma.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1 (.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))
(+.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))
(+.f64 (fma.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))) (fma.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1 (.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))
(+.f64 (fma.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))
(+.f64 (fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))) (fma.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1 (.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))
(+.f64 (fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (neg.f64 (.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))) (fma.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1 (.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (neg.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))) (fma.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1 (.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))
(+.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))) (fma.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1 (.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))
(+.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))
(.f64 1 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 2) (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 9) (pow.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 2)
(log.f64 (exp.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(exp.f64 (log.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (sqrt.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))) (.f64 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
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(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
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(.f64 1 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(.f64 (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 18)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (.f64 (.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1578×	`fma-neg`
944×	`log-prod`
838×	`exp-prod`
524×	`associate-r`
462×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	581	10552
1	1299	10210
2	4713	9936

Stop Event

1×	node limit

Counts

388 → 330

Calls

Call 1

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

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

eval962.0ms (9.4%)

Compiler: Compiled 53634 to 43041 computations (19.8% saved)

prune211.0ms (2.1%)

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	1377	21	1398
Fresh	9	8	17
Picked	0	5	5
Done	0	4	4
Total	1386	38	1424

Accurracy

9.6%

Counts

1424 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	9.3%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	9.2%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	3.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	5.7%	(pow.f64 (pow.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)
	5.7%	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
▶	9.3%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
✓	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
	9.3%	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	5.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	9.2%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	9.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	5.7%	(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3))
✓	5.7%	(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
	5.7%	(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
▶	5.7%	(.f64 3 (.f64 (acos.f64 (-.f64 1 x)) 1/3))
▶	5.7%	(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)))
▶	5.7%	(.f64 3 (log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3))))
	5.7%	(.f64 3 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	5.7%	(.f64 3 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	5.7%	(.f64 3 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))))
	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))
✓	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	5.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	5.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	5.7%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
✓	5.7%	(acos.f64 (-.f64 1 x))
	5.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	9.3%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	9.2%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	3.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	5.7%	(pow.f64 (pow.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)
	5.7%	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
▶	9.3%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
✓	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
	9.3%	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	5.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	9.2%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	9.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	5.7%	(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3))
✓	5.7%	(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
	5.7%	(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
▶	5.7%	(.f64 3 (.f64 (acos.f64 (-.f64 1 x)) 1/3))
▶	5.7%	(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)))
▶	5.7%	(.f64 3 (log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3))))
	5.7%	(.f64 3 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	5.7%	(.f64 3 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	5.7%	(.f64 3 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))))
	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))
✓	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	5.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	5.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	5.7%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
✓	5.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 2606 to 2282 computations (12.4% saved)

localize1.4s (13.4%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3))
✓	99.5%	(.f64 3 (log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3))))
✓	8.6%	(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3)))
	5.7%	(acos.f64 (-.f64 1 x))
✓	99.9%	(pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
✓	99.5%	(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)))
✓	8.6%	(log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))
	5.7%	(acos.f64 (-.f64 1 x))
✓	99.3%	(pow.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
✓	65.5%	(pow.f64 (pow.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)
	9.1%	(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
	5.7%	(acos.f64 (-.f64 1 x))
✓	99.5%	(.f64 3 (.f64 (acos.f64 (-.f64 1 x)) 1/3))
✓	99.4%	(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
	5.7%	(acos.f64 (-.f64 1 x))
✓	98.4%	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
	98.1%	(asin.f64 (-.f64 1 x))
✓	97.5%	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
✓	12.0%	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

Compiler

Compiled 332 to 278 computations (16.3% saved)

series159.0ms (1.6%)

Counts

13 → 132

Calls

33 calls:

Time	Variable		Point	Expression
65.0ms	x	@	-inf	(log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))
37.0ms	x	@	0	(log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))
23.0ms	x	@	inf	(log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2))
6.0ms	x	@	0	(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3)))
6.0ms	x	@	inf	(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3)))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`add-sqr-sqrt`
746×	`pow1`
732×	`*-un-lft-identity`
716×	`add-exp-log`
712×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	309
1	925	245

Stop Event

1×	node limit

Counts

13 → 261

Calls

Call 1

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

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

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1152×	`times-frac`
880×	`log-prod`
758×	`exp-prod`
648×	`cube-prod`
562×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	12884910311
1	991	7911
2	4058	7775

Stop Event

1×	node limit

Counts

393 → 231

Calls

Call 1

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

Outputs
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (.f64 1 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (.f64 1 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (.f64 1 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
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(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(*.f64 (pow.f64 1 2/3) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
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(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3) (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2/3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 1/3) (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 1/3)))
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(*.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2/3) (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2/3))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 4/3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))))
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(.f64 2 (.f64 1/6 (acos.f64 (-.f64 1 x))))
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(.f64 1 (.f64 1/3 (acos.f64 (-.f64 1 x))))
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(.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) 2)
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(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(.f64 2/3 (.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) (.f64 1/6 (acos.f64 (-.f64 1 x)))) (-.f64 (.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) (.f64 1/6 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))))
(/.f64 (.f64 2 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/6) 3)) (+.f64 0 (*.f64 1/36 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/108) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/36))
(*.f64 1/3 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
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(*.f64 1/3 (acos.f64 (-.f64 1 x)))
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(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (.f64 1/2 (acos.f64 (-.f64 1 x))) (.f64 1/2 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (PI.f64) 2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 2) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/6)
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(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (.f64 (.f64 1/2 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

eval393.0ms (3.8%)

Compiler: Compiled 19959 to 17282 computations (13.4% saved)

prune121.0ms (1.2%)

Pruning

47 alts after pruning (34 fresh and 13 done)

	Pruned	Kept	Total
New	837	12	849
Fresh	2	22	24
Picked	1	4	5
Done	0	9	9
Total	840	47	887

Accurracy

9.6%

Counts

887 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	9.3%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	9.2%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	3.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	5.7%	(pow.f64 (pow.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)
	5.7%	(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
	9.3%	(/.f64 (fma.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16)))) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	3.9%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 4) 3)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.3%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	9.3%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
✓	9.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	9.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	9.2%	(/.f64 (-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	5.7%	(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
	9.3%	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	5.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	9.2%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	9.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	5.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	9.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	5.7%	(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3))
✓	5.7%	(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
	5.7%	(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
	5.7%	(.f64 3 (.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 1/3))
	5.7%	(.f64 3 (.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3))
✓	5.7%	(.f64 3 (.f64 (acos.f64 (-.f64 1 x)) 1/3))
	5.7%	(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) 2)))
	5.7%	(.f64 3 (log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) 2)))
✓	5.7%	(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)))
	5.7%	(.f64 3 (log.f64 (pow.f64 (exp.f64 (.f64 1/6 (acos.f64 (-.f64 1 x)))) 2)))
	5.7%	(.f64 3 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	5.7%	(.f64 3 (log.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/3)) (.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 1/3) (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 1/3)))))
	5.7%	(.f64 3 (log.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))))))
	5.7%	(.f64 3 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))))
	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))
✓	5.7%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	5.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	5.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	5.7%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
✓	5.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 2205 to 1887 computations (14.4% saved)

regimes63.0ms (0.6%)

Counts

61 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

26.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.3%	1	`x`
9.3%	1	`(acos.f64 (-.f64 1 x))`
9.3%	1	`(-.f64 1 x)`

Compiler

Compiled 1249 to 1044 computations (16.4% saved)

regimes46.0ms (0.4%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
5.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.3%	1	`x`
9.3%	1	`(acos.f64 (-.f64 1 x))`
9.3%	1	`(-.f64 1 x)`

Compiler

Compiled 726 to 617 computations (15% saved)

regimes30.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.2%	1	`x`
9.2%	1	`(acos.f64 (-.f64 1 x))`
9.2%	1	`(-.f64 1 x)`

Compiler

Compiled 389 to 337 computations (13.4% saved)

regimes23.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))

Calls

3 calls:

11.0ms	x
3.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.2%	1	`(acos.f64 (-.f64 1 x))`
9.2%	1	`(-.f64 1 x)`
9.2%	1	`x`

Compiler

Compiled 256 to 223 computations (12.9% saved)

regimes21.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

Outputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

Calls

3 calls:

9.0ms	x
3.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
5.7%	1	`x`
5.7%	1	`(acos.f64 (-.f64 1 x))`
5.7%	1	`(-.f64 1 x)`

Compiler

Compiled 245 to 214 computations (12.7% saved)

regimes10.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f64 3 (.f64 (acos.f64 (-.f64 1 x)) 1/3))

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
5.7%	1	`(acos.f64 (-.f64 1 x))`
5.7%	1	`(-.f64 1 x)`
5.7%	1	`x`

Compiler

Compiled 60 to 51 computations (15% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))

Outputs
(acos.f64 (-.f64 1 x))

Calls

3 calls:

2.0ms	x
1.0ms	(-.f64 1 x)
1.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
5.7%	1	`(acos.f64 (-.f64 1 x))`
5.7%	1	`(-.f64 1 x)`
5.7%	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
18×	`+-commutative`
16×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	269
1	63	269
2	76	269
3	84	269
4	87	269

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 91 to 80 computations (12.1% saved)

soundness1.3s (12.8%)

Rules

1578×	`fma-neg`
1478×	`pow1`
1478×	`pow1`
1478×	`pow1`
1368×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1795	11
0	26	200
1	598	200
0	37	330
1	798	268
0	7	11
1	146	11
2	1795	11
0	26	200
1	598	200
0	772	31373
1	2037	28689
0	581	10552
1	1299	10210
2	4713	9936
0	7	11
1	146	11
2	1795	11
0	60	396
1	147	392
2	495	392
3	2261	392
4	5297	392
0	26	200
1	598	200
0	26	200
1	598	200
0	26	200
1	598	200
0	37	330
1	798	268

Stop Event

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

Compiler

Compiled 880 to 719 computations (18.3% saved)

end0.0ms (0%)

preprocess76.0ms (0.7%)

Compiler: Compiled 196 to 164 computations (16.3% saved)

analyze0.0ms (0%)

sample1.8s (17.2%)

preprocess16.0ms (0.2%)

simplify4.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize50.0ms (0.5%)

series0.0ms (0%)

rewrite51.0ms (0.5%)

simplify52.0ms (0.5%)

eval17.0ms (0.2%)

prune13.0ms (0.1%)

localize830.0ms (8.1%)

series8.0ms (0.1%)

rewrite141.0ms (1.4%)

simplify211.0ms (2.1%)

eval450.0ms (4.4%)

prune170.0ms (1.7%)

localize1.2s (11.5%)

series67.0ms (0.7%)

rewrite91.0ms (0.9%)

simplify132.0ms (1.3%)

eval962.0ms (9.4%)

prune211.0ms (2.1%)

localize1.4s (13.4%)

series159.0ms (1.6%)

rewrite79.0ms (0.8%)

simplify111.0ms (1.1%)

eval393.0ms (3.8%)

prune121.0ms (1.2%)

regimes63.0ms (0.6%)

regimes46.0ms (0.4%)

regimes30.0ms (0.3%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.3s (12.8%)

end0.0ms (0%)

preprocess76.0ms (0.7%)

Profiling