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)

sample2.0s (15.7%)

Results

1.2s	4166×	body	1024	valid
373.0ms	2041×	body	512	valid
209.0ms	402×	body	2048	valid
166.0ms	1647×	body	256	valid

Bogosity

preprocess17.0ms (0.1%)

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)

simplify49.0ms (0.4%)

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))

eval1.0ms (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

7.1%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(acos.f64 (-.f64 1 x))
▶	7.1%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize50.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	7.1%	(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))

rewrite93.0ms (0.7%)

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))))

simplify54.0ms (0.4%)

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))

eval8.0ms (0.1%)

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

prune20.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	18	8	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	9	27

Accurracy

7.1%

Counts

27 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
▶	7.1%	(/.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))))))
	7.1%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	7.1%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.1%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.1%	(acos.f64 (-.f64 1 x))
▶	7.1%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
▶	7.1%	(/.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))))))
	7.1%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	7.1%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.1%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.1%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 442 to 372 computations (15.8% saved)

localize781.0ms (6.2%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓	98.4%	(pow.f64 (*.f64 (PI.f64) 1/2) 3)
✓	98.2%	(asin.f64 (-.f64 1 x))
✓	10.2%	(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
✓	99.3%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	60.5%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.1%	(acos.f64 (-.f64 1 x))
✓	100.0%	(log.f64 (acos.f64 (-.f64 1 x)))
✓	92.4%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	7.1%	(acos.f64 (-.f64 1 x))
✓	9.9%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.1%	(acos.f64 (-.f64 1 x))
✓	99.8%	(sqrt.f64 (acos.f64 (-.f64 1 x)))
✓	99.2%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	7.1%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 207 to 155 computations (25.1% saved)

series60.0ms (0.5%)

Counts

11 → 80

Calls

30 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(log.f64 (acos.f64 (-.f64 1 x)))
15.0ms	x	@	inf	(log.f64 (acos.f64 (-.f64 1 x)))
13.0ms	x	@	-inf	(log.f64 (acos.f64 (-.f64 1 x)))
2.0ms	x	@	0	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)

rewrite147.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`fma-neg`
780×	`expm1-udef`
774×	`log1p-udef`
502×	`add-sqr-sqrt`
490×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	171
1	573	171
2	6608	171

Stop Event

1×	node limit

Counts

11 → 541

Calls

Call 1

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

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

simplify188.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1168×	`exp-prod`
926×	`associate-r`
838×	`associate-l`
828×	`log-prod`
672×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	18903
1	1366	18037
2	5907	18037

Stop Event

1×	node limit

Counts

621 → 388

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

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

eval398.0ms (3.2%)

Compiler: Compiled 20167 to 16204 computations (19.7% saved)

prune163.0ms (1.3%)

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	860	34	894
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	862	41	903

Accurracy

10.6%

Counts

903 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.3%	(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))))
	7.1%	(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
	5.3%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.1%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
✓	7.1%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	6.2%	(pow.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)) 1/3)
	7.1%	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 2)
✓	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	6.1%	(pow.f64 (log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1/3)
	7.1%	(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
	10.5%	(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
▶	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.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))))))
	10.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.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))))))
	10.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	5.3%	(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 3) (.f64 (PI.f64) 1/2)) (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))))))
	7.1%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	7.1%	(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.1%	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
	7.1%	(-.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)))
	7.1%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.1%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.4%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
	10.4%	(+.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))))
	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))))
▶	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
	7.1%	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
	7.1%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.1%	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
	7.1%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.1%	(acos.f64 (-.f64 1 x))
	5.3%	(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))))
	7.1%	(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
	5.3%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.1%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
✓	7.1%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	6.2%	(pow.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)) 1/3)
	7.1%	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 2)
✓	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	6.1%	(pow.f64 (log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1/3)
	7.1%	(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
	10.5%	(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
▶	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.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))))))
	10.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.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))))))
	10.4%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	5.3%	(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 3) (.f64 (PI.f64) 1/2)) (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))))))
	7.1%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	7.1%	(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.1%	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
	7.1%	(-.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)))
	7.1%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.1%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.4%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
	10.4%	(+.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))))
	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))))
▶	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
	7.1%	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
	7.1%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.1%	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
	7.1%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.1%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 3020 to 2590 computations (14.2% saved)

localize1.4s (11.3%)

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)
	98.2%	(asin.f64 (-.f64 1 x))
✓	9.9%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
✓	100.0%	(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
✓	99.9%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
✓	9.7%	(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
	7.1%	(acos.f64 (-.f64 1 x))
	99.3%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	60.5%	(pow.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)) 1/3)
✓	42.6%	(+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1))
	7.1%	(acos.f64 (-.f64 1 x))
✓	100.0%	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	10.0%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.1%	(acos.f64 (-.f64 1 x))
✓	98.6%	(+.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)))))
	98.5%	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
	98.2%	(asin.f64 (-.f64 1 x))
✓	8.1%	(fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

Compiler

Compiled 337 to 267 computations (20.8% saved)

series12.0ms (0.1%)

Counts

12 → 128

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
1.0ms	x	@	0	(fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
1.0ms	x	@	0	(+.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)))))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`add-sqr-sqrt`
924×	`pow1`
914×	`*-un-lft-identity`
876×	`add-exp-log`
876×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	368
1	1010	368

Stop Event

1×	node limit

Counts

12 → 123

Calls

Call 1

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

810×	`unswap-sqr`
736×	`fma-neg`
668×	`cancel-sign-sub-inv`
590×	`associate-l`
536×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	6551
1	867	6405
2	3793	6213

Stop Event

1×	node limit

Counts

251 → 180

Calls

Call 1

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

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

eval563.0ms (4.5%)

Compiler: Compiled 30436 to 24766 computations (18.6% saved)

prune229.0ms (1.8%)

Pruning

56 alts after pruning (48 fresh and 8 done)

	Pruned	Kept	Total
New	1001	24	1025
Fresh	7	24	31
Picked	2	3	5
Done	0	5	5
Total	1010	56	1066

Accurracy

10.7%

Counts

1066 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.3%	(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))))
	7.1%	(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
	5.3%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.1%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
✓	7.1%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.1%	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 2)
✓	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	7.1%	(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
	10.5%	(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
	10.3%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.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))))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (+.f64 (asin.f64 (-.f64 1 x)) (.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
	10.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	5.3%	(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 3) (.f64 (PI.f64) 1/2)) (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))))))
	7.1%	(/.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
▶	7.1%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	7.1%	(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
▶	10.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (exp.f64 (log.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	7.1%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.1%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.1%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
✓	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.4%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.1%	(+.f64 (log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	10.4%	(+.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))))
	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))))
▶	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1))
	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1))
	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 1))
✓	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))))
	6.2%	(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))))
	7.1%	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
	7.1%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))))
▶	7.1%	(log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
	7.1%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.1%	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
	7.1%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	6.2%	(cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))
✓	7.1%	(acos.f64 (-.f64 1 x))
	5.3%	(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))))
	7.1%	(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
	5.3%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.1%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
✓	7.1%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.1%	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 2)
✓	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	7.1%	(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
	10.5%	(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
	10.3%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.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))))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (+.f64 (asin.f64 (-.f64 1 x)) (.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
	10.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.3%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	5.3%	(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 3) (.f64 (PI.f64) 1/2)) (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))))))
	7.1%	(/.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
▶	7.1%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	7.1%	(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
▶	10.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (exp.f64 (log.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	7.1%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.1%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.1%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
✓	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.4%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.1%	(+.f64 (log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	10.4%	(+.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))))
	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))))
▶	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1))
	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1))
	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 1))
✓	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))))
	6.2%	(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))))
	7.1%	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
	7.1%	(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))))
▶	7.1%	(log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
	7.1%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.1%	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
	7.1%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	6.2%	(cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))
✓	7.1%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 4752 to 4108 computations (13.6% saved)

localize1.9s (14.8%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
✓	99.9%	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
✓	9.7%	(-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
	7.1%	(acos.f64 (-.f64 1 x))
✓	99.9%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
✓	9.9%	(log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
✓	9.7%	(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(acos.f64 (-.f64 1 x))
✓	99.9%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
✓	99.9%	(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
✓	10.0%	(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
	7.1%	(acos.f64 (-.f64 1 x))
	98.2%	(asin.f64 (-.f64 1 x))
✓	9.9%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	98.6%	(+.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)))))
	98.5%	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
	98.2%	(asin.f64 (-.f64 1 x))
✓	8.1%	(fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

Compiler

Compiled 611 to 503 computations (17.7% saved)

series11.0ms (0.1%)

Counts

11 → 116

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
1.0ms	x	@	inf	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`add-sqr-sqrt`
788×	`pow1`
778×	`*-un-lft-identity`
752×	`add-exp-log`
750×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	387
1	869	379

Stop Event

1×	node limit

Counts

11 → 219

Calls

Call 1

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

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

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

626×	`log-prod`
602×	`sqr-pow`
538×	`exp-prod`
410×	`associate-+l+`
406×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	4294979781
1	919	12287
2	3209	11231

Stop Event

1×	node limit

Counts

335 → 219

Calls

Call 1

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

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

eval1.6s (12.9%)

Compiler: Compiled 76632 to 63249 computations (17.5% saved)

prune254.0ms (2%)

Pruning

59 alts after pruning (49 fresh and 10 done)

	Pruned	Kept	Total
New	1492	18	1510
Fresh	12	31	43
Picked	2	3	5
Done	1	7	8
Total	1507	59	1566

Accurracy

10.7%

Counts

1566 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.3%	(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))))
	5.3%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.1%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.1%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
✓	7.1%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.1%	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 2)
✓	7.1%	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	10.5%	(/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (+.f64 (asin.f64 (-.f64 1 x)) (.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (fma.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
	10.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 6) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	5.3%	(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 3) (.f64 (PI.f64) 1/2)) (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))))))
	7.1%	(/.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
✓	7.1%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	7.1%	(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
	10.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (.f64 (+.f64 (asin.f64 (-.f64 1 x)) (.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
	10.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
	10.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/8 (pow.f64 (PI.f64) 2)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (cbrt.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	10.5%	(/.f64 (exp.f64 (log.f64 (fma.f64 (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
	7.1%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.1%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.3%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
	10.4%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x)))))
	10.4%	(-.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))
	10.3%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	5.3%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.1%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.1%	(+.f64 (log.f64 (exp.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))))
	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) 1))
	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 1) 1))
	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1))
	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1))
	7.1%	(.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1))
✓	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
	7.1%	(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))))
	6.2%	(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))))
	7.1%	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
	7.1%	(log.f64 (exp.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))))
✓	7.1%	(log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
	7.1%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.1%	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
	7.1%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.1%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	7.1%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	6.2%	(cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1)))
✓	7.1%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 3371 to 2839 computations (15.8% saved)

regimes96.0ms (0.8%)

Counts

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

Outputs

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

Calls

3 calls:

33.0ms	x
11.0ms	(-.f64 1 x)
6.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.5%	1	`x`
10.5%	1	`(acos.f64 (-.f64 1 x))`
10.5%	1	`(-.f64 1 x)`

Compiler

Compiled 2009 to 1660 computations (17.4% saved)

regimes86.0ms (0.7%)

Counts

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

Outputs

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

Calls

3 calls:

33.0ms	x
8.0ms	(-.f64 1 x)
6.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.5%	1	`(-.f64 1 x)`
10.5%	1	`(acos.f64 (-.f64 1 x))`
10.5%	1	`x`

Compiler

Compiled 1644 to 1366 computations (16.9% saved)

regimes77.0ms (0.6%)

Counts

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

Outputs

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

Calls

3 calls:

30.0ms	x
7.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.5%	1	`(acos.f64 (-.f64 1 x))`
10.5%	1	`(-.f64 1 x)`
10.5%	1	`x`

Compiler

Compiled 1385 to 1165 computations (15.9% saved)

regimes75.0ms (0.6%)

Counts

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

Outputs

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

Calls

3 calls:

30.0ms	x
8.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.5%	1	`(acos.f64 (-.f64 1 x))`
10.5%	1	`(-.f64 1 x)`
10.5%	1	`x`

Compiler

Compiled 1348 to 1137 computations (15.7% saved)

regimes65.0ms (0.5%)

Counts

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

Outputs
(+.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))))

Calls

3 calls:

27.0ms	x
8.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

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

Compiler

Compiled 1068 to 913 computations (14.5% saved)

regimes50.0ms (0.4%)

Counts

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

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

Calls

3 calls:

20.0ms	x
6.0ms	(-.f64 1 x)
5.0ms	(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 736 to 628 computations (14.7% saved)

regimes48.0ms (0.4%)

Counts

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

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

Calls

3 calls:

21.0ms	x
6.0ms	(-.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 704 to 605 computations (14.1% saved)

regimes28.0ms (0.2%)

Counts

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

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

Calls

3 calls:

12.0ms	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 324 to 280 computations (13.6% saved)

regimes27.0ms (0.2%)

Counts

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

Outputs
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
7.1%	1	`(acos.f64 (-.f64 1 x))`
7.1%	1	`x`
7.1%	1	`(-.f64 1 x)`

Compiler

Compiled 313 to 271 computations (13.4% saved)

regimes11.0ms (0.1%)

Counts

8 → 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 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))

Outputs
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)

Calls

3 calls:

5.0ms	x
2.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
7.1%	1	`x`
7.1%	1	`(acos.f64 (-.f64 1 x))`
7.1%	1	`(-.f64 1 x)`

Compiler

Compiled 67 to 56 computations (16.4% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

6 → 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 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

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

Calls

3 calls:

5.0ms	x
2.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
7.1%	1	`x`
7.1%	1	`(acos.f64 (-.f64 1 x))`
7.1%	1	`(-.f64 1 x)`

Compiler

Compiled 52 to 43 computations (17.3% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
32×	`*-commutative`
22×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	855
1	98	855
2	116	855
3	127	855
4	131	855

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 273 to 228 computations (16.5% saved)

soundness1.4s (11.3%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1795	11
0	60	396
1	147	392
2	495	392
3	2261	392
4	5297	392
0	26	171
1	573	171
2	6608	171
0	45	368
1	1010	368
0	7	11
1	146	11
2	1795	11
0	26	171
1	573	171
2	6608	171
0	7	11
1	146	11
2	1795	11
0	60	396
1	147	392
2	495	392
3	2261	392
4	5297	392
0	26	171
1	573	171
2	6608	171
0	26	171
1	573	171
2	6608	171
0	26	171
1	573	171
2	6608	171
0	26	171
1	573	171
2	6608	171
0	45	368
1	1010	368
0	26	171
1	573	171
2	6608	171

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
1×	node limit

Compiler

Compiled 2037 to 1594 computations (21.7% saved)

end0.0ms (0%)

preprocess166.0ms (1.3%)

Compiler: Compiled 552 to 444 computations (19.6% saved)

analyze0.0ms (0%)

sample2.0s (15.7%)

preprocess17.0ms (0.1%)

simplify49.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize50.0ms (0.4%)

series0.0ms (0%)

rewrite93.0ms (0.7%)

simplify54.0ms (0.4%)

eval8.0ms (0.1%)

prune20.0ms (0.2%)

localize781.0ms (6.2%)

series60.0ms (0.5%)

rewrite147.0ms (1.2%)

simplify188.0ms (1.5%)

eval398.0ms (3.2%)

prune163.0ms (1.3%)

localize1.4s (11.3%)

series12.0ms (0.1%)

rewrite83.0ms (0.7%)

simplify96.0ms (0.8%)

eval563.0ms (4.5%)

prune229.0ms (1.8%)

localize1.9s (14.8%)

series11.0ms (0.1%)

rewrite91.0ms (0.7%)

simplify131.0ms (1%)

eval1.6s (12.9%)

prune254.0ms (2%)

regimes96.0ms (0.8%)

regimes86.0ms (0.7%)

regimes77.0ms (0.6%)

regimes75.0ms (0.6%)

regimes65.0ms (0.5%)

regimes50.0ms (0.4%)

regimes48.0ms (0.4%)

regimes28.0ms (0.2%)

regimes27.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

simplify17.0ms (0.1%)

soundness1.4s (11.3%)

end0.0ms (0%)

preprocess166.0ms (1.3%)

Profiling