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)

sample1.7s (16.9%)

Results

992.0ms	4123×	body	1024	valid
385.0ms	2032×	body	512	valid
210.0ms	1683×	body	256	valid
141.0ms	418×	body	2048	valid

Bogosity

preprocess18.0ms (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

6.5%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(acos.f64 (-.f64 1 x))
▶	6.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize47.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	6.5%	(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))

rewrite50.0ms (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))))

simplify60.0ms (0.6%)

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))

eval7.0ms (0.1%)

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

prune38.0ms (0.4%)

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

6.5%

Counts

27 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶	6.5%	(/.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))))
▶	6.5%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	6.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	6.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.5%	(acos.f64 (-.f64 1 x))
▶	6.5%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶	6.5%	(/.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))))
▶	6.5%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	6.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	6.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 250 to 212 computations (15.2% saved)

localize607.0ms (5.9%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
✓	99.5%	(/.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))))
✓	98.4%	(asin.f64 (-.f64 1 x))
✓	9.7%	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
✓	99.0%	(cbrt.f64 (acos.f64 (-.f64 1 x)))
✓	98.8%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	6.5%	(acos.f64 (-.f64 1 x))
✓	98.4%	(asin.f64 (-.f64 1 x))
✓	9.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	9.6%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	6.5%	(acos.f64 (-.f64 1 x))
✓	100.0%	(exp.f64 (acos.f64 (-.f64 1 x)))
✓	9.6%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 170 to 128 computations (24.7% saved)

series12.0ms (0.1%)

Counts

11 → 108

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (acos.f64 (-.f64 1 x)))
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))))

rewrite196.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`expm1-udef`
528×	`add-sqr-sqrt`
514×	`pow1`
510×	`*-un-lft-identity`
496×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	161
1	560	161
2	7699	161

Stop Event

1×	node limit

Counts

11 → 742

Calls

Call 1

Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(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))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(cbrt.f64 (acos.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)))

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

simplify227.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1492×	`times-frac`
946×	`associate-/l*`
878×	`fma-def`
550×	`associate-/r*`
534×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	662	32040
1	1674	30556

Stop Event

1×	node limit

Counts

850 → 404

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

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

eval338.0ms (3.3%)

Compiler: Compiled 17961 to 14633 computations (18.5% saved)

prune165.0ms (1.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	739	13	752
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	740	18	758

Accurracy

10.5%

Counts

758 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.6%	(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))))
	4.7%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	6.5%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	10.3%	(/.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))))
▶	10.4%	(/.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))))
	6.5%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
▶	6.5%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	6.5%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	6.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	6.5%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.3%	(+.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))))
	6.5%	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
▶	6.5%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.5%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	6.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.5%	(acos.f64 (-.f64 1 x))
▶	4.6%	(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))))
	4.7%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	6.5%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	10.3%	(/.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))))
▶	10.4%	(/.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))))
	6.5%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
▶	6.5%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	6.5%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	6.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	6.5%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.3%	(+.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))))
	6.5%	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
▶	6.5%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.5%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	6.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 856 to 750 computations (12.4% saved)

localize1.0s (9.7%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
✓	98.4%	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	98.4%	(asin.f64 (-.f64 1 x))
✓	12.5%	(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))))
✓	100.0%	(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	99.9%	(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3)
✓	9.6%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.5%	(acos.f64 (-.f64 1 x))
	100.0%	(exp.f64 (acos.f64 (-.f64 1 x)))
✓	9.6%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
	9.6%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.5%	(acos.f64 (-.f64 1 x))
✓	100.0%	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	9.8%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	6.5%	(acos.f64 (-.f64 1 x))
✓	98.6%	(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
✓	98.6%	(exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
	98.4%	(asin.f64 (-.f64 1 x))
✓	9.7%	(-.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))

Compiler

Compiled 254 to 204 computations (19.7% saved)

series135.0ms (1.3%)

Counts

12 → 120

Calls

30 calls:

Time	Variable		Point	Expression
32.0ms	x	@	0	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
25.0ms	x	@	0	(-.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))
23.0ms	x	@	inf	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
19.0ms	x	@	inf	(-.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))
15.0ms	x	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))

rewrite111.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`add-sqr-sqrt`
674×	`pow1`
664×	`*-un-lft-identity`
644×	`add-exp-log`
642×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	234
1	759	188

Stop Event

1×	node limit

Counts

12 → 491

Calls

Call 1

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

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

simplify218.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

990×	`log-prod`
776×	`exp-prod`
604×	`associate-l`
594×	`associate-r`
590×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	625	21539
1	1520	20053
2	6176	20045

Stop Event

1×	node limit

Counts

611 → 403

Calls

Call 1

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

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

eval780.0ms (7.6%)

Compiler: Compiled 27171 to 22973 computations (15.5% saved)

prune184.0ms (1.8%)

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	1095	16	1111
Fresh	0	8	8
Picked	0	5	5
Done	0	5	5
Total	1095	34	1129

Accurracy

10.6%

Counts

1129 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.3%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.3%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	4.6%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	4.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	4.6%	(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))))
	4.7%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	4.7%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	6.5%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶	10.3%	(/.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))))
▶	10.4%	(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.4%	(/.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))))
▶	6.5%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	6.5%	(-.f64 (+.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))) 1)
✓	6.5%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	6.5%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
▶	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	6.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	6.5%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	6.5%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.0%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.3%	(+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
	10.3%	(+.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))))
	6.4%	(log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3))
	6.4%	(log.f64 (pow.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)))))) 3))
	6.5%	(log.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
	6.5%	(log.f64 (pow.f64 (*.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))) 3))
	6.5%	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
	6.5%	(log.f64 (pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3))
✓	6.5%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.5%	(log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	6.5%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	6.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.5%	(acos.f64 (-.f64 1 x))
	10.3%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.3%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	4.6%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	4.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	4.6%	(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))))
	4.7%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	4.7%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	6.5%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶	10.3%	(/.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))))
▶	10.4%	(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.4%	(/.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))))
▶	6.5%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	6.5%	(-.f64 (+.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))) 1)
✓	6.5%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	6.5%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
▶	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	6.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	6.5%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	6.5%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.0%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.3%	(+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
	10.3%	(+.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))))
	6.4%	(log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3))
	6.4%	(log.f64 (pow.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)))))) 3))
	6.5%	(log.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
	6.5%	(log.f64 (pow.f64 (*.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))) 3))
	6.5%	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
	6.5%	(log.f64 (pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3))
✓	6.5%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.5%	(log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	6.5%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	6.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1790 to 1590 computations (11.2% saved)

localize1.0s (9.8%)

Local Accuracy

Found 19 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)
	98.4%	(asin.f64 (-.f64 1 x))
✓	9.7%	(-.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%	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
	98.4%	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	98.4%	(asin.f64 (-.f64 1 x))
✓	14.4%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	98.5%	(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓	98.5%	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
	98.4%	(asin.f64 (-.f64 1 x))
✓	9.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	99.6%	(/.f64 1 (acos.f64 (-.f64 1 x)))
✓	99.5%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	6.5%	(acos.f64 (-.f64 1 x))
✓	98.5%	(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓	98.5%	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
	98.4%	(asin.f64 (-.f64 1 x))
	9.7%	(-.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))

Compiler

Compiled 336 to 268 computations (20.2% saved)

series13.0ms (0.1%)

Counts

11 → 124

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
2.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
1.0ms	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))

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`expm1-udef`
790×	`log1p-udef`
564×	`add-sqr-sqrt`
548×	`pow1`
538×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	179
1	672	155
2	7479	155

Stop Event

1×	node limit

Counts

11 → 436

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.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 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (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 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 3/2) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/4))
(.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 1 (acos.f64 (-.f64 1 x)))) 2) (.f64 2 (/.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 -1 (acos.f64 (-.f64 1 x)))) -2) (.f64 2 (/.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(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 (.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3/2))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(*.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(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)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.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 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (/.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.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 -1 (neg.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 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -1/2) -1) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -1/2) -1))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(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))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(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))
(exp.f64 (*.f64 (neg.f64 (log.f64 (acos.f64 (-.f64 1 x)))) -1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -1/2) (pow.f64 (acos.f64 (-.f64 1 x)) -1/2))
(*.f64 -1 (/.f64 -1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) -1) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) -1))
(pow.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (acos.f64 (-.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
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(/.f64 (acos.f64 (-.f64 1 x)) 1)
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(/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) -1/2))
(/.f64 -1 (/.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.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 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 18))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2))) (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(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))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(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))
(exp.f64 (*.f64 (neg.f64 (log.f64 (acos.f64 (-.f64 1 x)))) -1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (pow.f64 (acos.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (acos.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) -2))
(.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 18)) (/.f64 1 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 1 (*.f64 (/.f64 -1 (acos.f64 (-.f64 1 x))) (/.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 18))))
(/.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2)))
(/.f64 (acos.f64 (-.f64 1 x)) (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (acos.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 -1 (*.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))) (/.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (/.f64 -1 (acos.f64 (-.f64 1 x))))
(/.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)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 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)) (acos.f64 (-.f64 1 x)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 18))) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (neg.f64 (pow.f64 (acos.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 12) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (/.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (acos.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2) -1)
(sqrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 4) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2)) 1/2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(*.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 (asin.f64 (-.f64 1 x))) 2) 1)
(*.f64 (cbrt.f64 (pow.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))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(*.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(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)))))

simplify165.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1462×	`log-prod`
1246×	`fma-neg`
1026×	`times-frac`
844×	`associate-r`
804×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	14288
1	1110	13740
2	6227	13708

Stop Event

1×	node limit

Counts

560 → 322

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(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)
(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 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(*.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(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 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.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 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 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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 (*.f64 -1 x))) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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 (*.f64 -1 x))) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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 (*.f64 -1 x))) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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 (*.f64 -1 x))) 2)))
(+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 -1 (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))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
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(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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(*.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(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)))

eval846.0ms (8.2%)

Compiler: Compiled 44972 to 37519 computations (16.6% saved)

prune178.0ms (1.7%)

Pruning

42 alts after pruning (29 fresh and 13 done)

	Pruned	Kept	Total
New	1520	14	1534
Fresh	4	15	19
Picked	1	4	5
Done	1	9	10
Total	1526	42	1568

Accurracy

10.8%

Counts

1568 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.3%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.3%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.3%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	4.6%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	4.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
	4.7%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	6.5%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	10.3%	(/.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))))
	10.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	10.4%	(/.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) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)))
✓	10.4%	(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.4%	(/.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))))
	7.5%	(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 18))) (hypot.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
✓	6.5%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	6.5%	(-.f64 (+.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))) 1)
✓	6.5%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	6.5%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	4.7%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 3))
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/2))
	4.7%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1) 3))
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
	10.3%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
✓	10.3%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.3%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	10.3%	(-.f64 (.f64 (PI.f64) 1/2) (exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3/2)))
✓	6.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.0%	(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
	6.5%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	6.5%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.3%	(+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
	6.4%	(log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3))
	6.4%	(log.f64 (pow.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)))))) 3))
	6.5%	(log.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
	6.5%	(log.f64 (pow.f64 (*.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))) 3))
	6.5%	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
	6.5%	(log.f64 (pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3))
✓	6.5%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.5%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	6.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1442 to 1250 computations (13.3% saved)

regimes47.0ms (0.5%)

Counts

49 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (PI.f64) (acos.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 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 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))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/2))
(-.f64 (+.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 3))
(-.f64 (.f64 (PI.f64) 1/2) (exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3/2)))
(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
(fma.f64 (sqrt.f64 (.f64 (PI.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 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1) 3))
(/.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))))
(log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3))
(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))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.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 (PI.f64) 1/2) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 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))))
(/.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))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(log.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
(/.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)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(log.f64 (pow.f64 (*.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))) 3))
(log.f64 (pow.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)))))) 3))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 18))) (hypot.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (acos.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) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)))

Outputs

(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.4%	1	`x`
10.4%	1	`(acos.f64 (-.f64 1 x))`
10.4%	1	`(-.f64 1 x)`

Compiler

Compiled 776 to 653 computations (15.9% saved)

regimes43.0ms (0.4%)

Counts

44 → 1

Calls

Call 1

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

Outputs
(/.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))))

Calls

3 calls:

18.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.4%	1	`x`
10.4%	1	`(acos.f64 (-.f64 1 x))`
10.4%	1	`(-.f64 1 x)`

Compiler

Compiled 643 to 539 computations (16.2% saved)

regimes36.0ms (0.4%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.3%	1	`x`
10.3%	1	`(acos.f64 (-.f64 1 x))`
10.3%	1	`(-.f64 1 x)`

Compiler

Compiled 522 to 438 computations (16.1% saved)

regimes20.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.3%	1	`(-.f64 1 x)`
10.3%	1	`(acos.f64 (-.f64 1 x))`
10.3%	1	`x`

Compiler

Compiled 204 to 174 computations (14.7% saved)

regimes22.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.3%	2	`(-.f64 1 x)`
9.3%	2	`(acos.f64 (-.f64 1 x))`
9.3%	2	`x`

Compiler

Compiled 124 to 105 computations (15.3% saved)

regimes20.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (PI.f64) (acos.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 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))

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

Calls

3 calls:

10.0ms	x
4.0ms	(acos.f64 (-.f64 1 x))
4.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
9.3%	2	`x`
9.3%	2	`(acos.f64 (-.f64 1 x))`
9.3%	2	`(-.f64 1 x)`

Compiler

Compiled 94 to 78 computations (17% saved)

regimes17.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (PI.f64) (acos.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 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)

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

Calls

3 calls:

8.0ms	x
3.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.3%	2	`x`
9.3%	2	`(acos.f64 (-.f64 1 x))`
9.3%	2	`(-.f64 1 x)`

Compiler

Compiled 71 to 58 computations (18.3% saved)

regimes15.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (PI.f64) (acos.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)))

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

Calls

3 calls:

7.0ms	x
3.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.3%	2	`x`
9.3%	2	`(acos.f64 (-.f64 1 x))`
9.3%	2	`(-.f64 1 x)`

Compiler

Compiled 62 to 50 computations (19.4% saved)

regimes8.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`(acos.f64 (-.f64 1 x))`
6.5%	1	`(-.f64 1 x)`
6.5%	1	`x`

Compiler

Compiled 40 to 33 computations (17.5% 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:

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

Results

Accuracy	Segments	Branch
6.5%	1	`x`
6.5%	1	`(acos.f64 (-.f64 1 x))`
6.5%	1	`(-.f64 1 x)`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.4381664637427805e-6

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999999999940895	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999999999940895	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.728468210842547e-18	5.910478264456415e-12

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 171 to 151 computations (11.7% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative`
26×	`sub-neg`
20×	`*-commutative`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	560
1	79	560
2	100	560
3	132	560
4	140	560
5	141	560

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(/.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 (.f64 (PI.f64) 1/2) (exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3/2)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))

Outputs
(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(/.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 (-.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 (.f64 (PI.f64) 1/2) (exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3/2)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (+.f64 -1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (+.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 193 to 169 computations (12.4% saved)

soundness1.6s (15.9%)

Rules

1478×	`pow1`
1478×	`pow1`
1478×	`pow1`
1462×	`log-prod`
1368×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1795	11
0	25	161
1	560	161
2	7699	161
0	25	161
1	560	161
2	7699	161
0	7	11
1	146	11
2	1795	11
0	25	161
1	560	161
2	7699	161
0	25	161
1	560	161
2	7699	161
0	30	179
1	672	155
2	7479	155
0	483	14288
1	1110	13740
2	6227	13708
0	35	234
1	759	188
0	625	21539
1	1520	20053
2	6176	20045
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	30	179
1	672	155
2	7479	155

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 1147 to 941 computations (18% saved)

end0.0ms (0%)

preprocess118.0ms (1.1%)

Compiler: Compiled 394 to 334 computations (15.2% saved)

analyze0.0ms (0%)

sample1.7s (16.9%)

preprocess18.0ms (0.2%)

simplify4.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize47.0ms (0.5%)

series0.0ms (0%)

rewrite50.0ms (0.5%)

simplify60.0ms (0.6%)

eval7.0ms (0.1%)

prune38.0ms (0.4%)

localize607.0ms (5.9%)

series12.0ms (0.1%)

rewrite196.0ms (1.9%)

simplify227.0ms (2.2%)

eval338.0ms (3.3%)

prune165.0ms (1.6%)

localize1.0s (9.7%)

series135.0ms (1.3%)

rewrite111.0ms (1.1%)

simplify218.0ms (2.1%)

eval780.0ms (7.6%)

prune184.0ms (1.8%)

localize1.0s (9.8%)

series13.0ms (0.1%)

rewrite128.0ms (1.2%)

simplify165.0ms (1.6%)

eval846.0ms (8.2%)

prune178.0ms (1.7%)

regimes47.0ms (0.5%)

regimes43.0ms (0.4%)

regimes36.0ms (0.4%)

regimes20.0ms (0.2%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes17.0ms (0.2%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

simplify14.0ms (0.1%)

soundness1.6s (15.9%)

end0.0ms (0%)

preprocess118.0ms (1.1%)

Profiling