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)

sample2.6s (20.3%)

Results

1.5s	4188×	body	1024	valid
633.0ms	2063×	body	512	valid
258.0ms	1617×	body	256	valid
203.0ms	388×	body	2048	valid

Bogosity

preprocess19.0ms (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	37
1	18	33
2	30	33
3	59	33
4	96	33
5	135	33
6	159	33
7	168	33

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(acos.f64 (-.f64 1 x))
▶	7.2%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize63.0ms (0.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	7.2%	(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))

rewrite80.0ms (0.6%)

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))))

simplify94.0ms (0.7%)

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))

eval14.0ms (0.1%)

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

prune56.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Accuracy

7.2%

Counts

27 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.2%	(/.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))))))
▶	7.2%	(/.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))))
▶	7.2%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	7.2%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.2%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	7.2%	(acos.f64 (-.f64 1 x))
▶	7.2%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.2%	(/.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))))))
▶	7.2%	(/.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))))
▶	7.2%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	7.2%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.2%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	7.2%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 382 to 320 computations (16.2% saved)

localize988.0ms (7.7%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.2%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	64.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.2%	(acos.f64 (-.f64 1 x))
✓	9.8%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.2%	(acos.f64 (-.f64 1 x))
✓	98.3%	(asin.f64 (-.f64 1 x))
✓	9.8%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	100.0%	(+.f64 1 (acos.f64 (-.f64 1 x)))
✓	9.9%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.2%	(acos.f64 (-.f64 1 x))
✓	99.9%	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
✓	99.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	98.3%	(asin.f64 (-.f64 1 x))
✓	9.9%	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))

Compiler

Compiled 173 to 131 computations (24.3% saved)

series17.0ms (0.1%)

Counts

11 → 100

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
3.0ms	x	@	0	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
2.0ms	x	@	inf	(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)
1.0ms	x	@	-inf	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))

rewrite248.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`expm1-udef`
546×	`add-sqr-sqrt`
530×	`pow1`
524×	`*-un-lft-identity`
516×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	235
1	590	165
2	7887	165

Stop Event

1×	node limit

Counts

11 → 742

Calls

Call 1

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

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

simplify302.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate-l`
908×	`times-frac`
872×	`fma-def`
654×	`distribute-lft-in`
630×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	684	39260
1	1776	36858

Stop Event

1×	node limit

Counts

842 → 421

Calls

Call 1

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

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

eval439.0ms (3.4%)

Compiler: Compiled 18217 to 15012 computations (17.6% saved)

prune169.0ms (1.3%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	735	25	760
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	738	29	767

Accuracy

10.7%

Counts

767 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
▶	5.4%	(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))))
	5.4%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
	10.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.4%	(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	7.2%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	7.2%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
▶	7.2%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	7.2%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	7.2%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.2%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.6%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
▶	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.2%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
▶	7.2%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.6%	(+.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))))
	10.5%	(+.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))))
	7.2%	(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
	7.2%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.2%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.2%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	7.2%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	7.2%	(acos.f64 (-.f64 1 x))
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
▶	5.4%	(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))))
	5.4%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
	10.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.4%	(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	7.2%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
	7.2%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
▶	7.2%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	7.2%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	7.2%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.2%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.6%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
▶	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.2%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
▶	7.2%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.6%	(+.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))))
	10.5%	(+.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))))
	7.2%	(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
	7.2%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.2%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.2%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	7.2%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	7.2%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1708 to 1500 computations (12.2% saved)

localize945.0ms (7.3%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	98.4%	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
✓	98.4%	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	98.3%	(asin.f64 (-.f64 1 x))
✓	12.8%	(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))))
✓	98.5%	(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓	98.4%	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
	98.3%	(asin.f64 (-.f64 1 x))
✓	9.8%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	100.0%	(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
✓	99.9%	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)
✓	9.9%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	7.2%	(acos.f64 (-.f64 1 x))
✓	10.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.2%	(acos.f64 (-.f64 1 x))
✓	98.5%	(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓	98.4%	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
	98.3%	(asin.f64 (-.f64 1 x))
✓	9.9%	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))))

Compiler

Compiled 256 to 202 computations (21.1% saved)

series22.0ms (0.2%)

Counts

13 → 132

Calls

33 calls:

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

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
638×	`pow1`
632×	`*-un-lft-identity`
610×	`add-cube-cbrt`
608×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	237
1	736	183

Stop Event

1×	node limit

Counts

13 → 642

Calls

Call 1

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

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

simplify186.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1066×	`fma-def`
862×	`associate-l`
856×	`associate-r`
736×	`distribute-rgt-in`
710×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	717	25492
1	1757	23940

Stop Event

1×	node limit

Counts

774 → 473

Calls

Call 1

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

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

eval641.0ms (5%)

Compiler: Compiled 31783 to 26322 computations (17.2% saved)

prune213.0ms (1.7%)

Pruning

43 alts after pruning (34 fresh and 9 done)

	Pruned	Kept	Total
New	1193	18	1211
Fresh	4	16	20
Picked	0	5	5
Done	0	4	4
Total	1197	43	1240

Accuracy

10.8%

Counts

1240 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.5%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	10.6%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.4%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.4%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
✓	5.4%	(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))))
	5.4%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.4%	(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	7.2%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
▶	7.2%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.2%	(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
	7.2%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
	7.2%	(-.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 3) 1)
	7.2%	(-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 3) 1)
✓	7.2%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	7.2%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
✓	7.2%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.2%	(-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3)) 1)
▶	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3) 3))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3)) 3))
	5.4%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 3))
	10.6%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
✓	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.2%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
	6.8%	(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
	7.2%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.2%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.6%	(+.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))))
	7.2%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
▶	7.2%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.2%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	7.2%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	7.2%	(acos.f64 (-.f64 1 x))
▶	10.5%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	10.6%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.4%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.4%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
✓	5.4%	(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))))
	5.4%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	5.4%	(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	7.2%	(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
▶	7.2%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.2%	(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
	7.2%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
	7.2%	(-.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 3) 1)
	7.2%	(-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 3) 1)
✓	7.2%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	7.2%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
✓	7.2%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.2%	(-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3)) 1)
▶	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3) 3))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3)) 3))
	5.4%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 3))
	10.6%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
✓	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.2%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
	6.8%	(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
	7.2%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.2%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.6%	(+.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))))
	7.2%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
▶	7.2%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.2%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	7.2%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	7.2%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 2536 to 2268 computations (10.6% saved)

localize1.0s (8%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	98.4%	(pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) 2)
	98.4%	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	98.3%	(asin.f64 (-.f64 1 x))
✓	14.8%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	98.5%	(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
✓	98.4%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)
	98.3%	(asin.f64 (-.f64 1 x))
✓	9.8%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
✓	100.0%	(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	9.7%	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	7.2%	(acos.f64 (-.f64 1 x))
✓	99.6%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
✓	99.6%	(/.f64 1 (acos.f64 (-.f64 1 x)))
	7.2%	(acos.f64 (-.f64 1 x))
✓	98.4%	(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2)
	98.4%	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	98.3%	(asin.f64 (-.f64 1 x))
✓	14.8%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

Compiler

Compiled 239 to 192 computations (19.7% saved)

series155.0ms (1.2%)

Counts

11 → 84

Calls

27 calls:

Time	Variable		Point	Expression
38.0ms	x	@	0	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
32.0ms	x	@	0	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
17.0ms	x	@	-inf	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
16.0ms	x	@	inf	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
16.0ms	x	@	0	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

rewrite157.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`expm1-udef`
842×	`log1p-udef`
582×	`add-sqr-sqrt`
564×	`pow1`
554×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	223
1	792	161
2	7395	161

Stop Event

1×	node limit

Counts

11 → 424

Calls

Call 1

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

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

simplify187.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1114×	`fma-neg`
804×	`div-sub`
622×	`log-prod`
536×	`associate-r`
496×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	42949685306
1	1116	12134
2	4440	12034

Stop Event

1×	node limit

Counts

508 → 319

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(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 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 1/3))
(-.f64 (.f64 (pow.f64 1/4 1/3) (.f64 (cbrt.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (pow.f64 1/4 1/3) (.f64 (cbrt.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (pow.f64 1/4 1/3) (.f64 (cbrt.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (pow.f64 1/4 1/3) (.f64 (cbrt.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (pow.f64 1/4 1/3) (.f64 (cbrt.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (pow.f64 1/4 1/3) (.f64 (cbrt.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
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(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 1/2 (acos.f64 (-.f64 1 x))) (.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (/.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 -1 (neg.f64 (acos.f64 (-.f64 1 x))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -1/2) -1) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -1/2) -1))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 1 (neg.f64 (/.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (acos.f64 (-.f64 1 x)) 1)
(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) -1/2))
(/.f64 -1 (/.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) (.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) -2))) (/.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (acos.f64 (-.f64 1 x)))) -1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) 1)
(.f64 1 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) 1)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (pow.f64 (PI.f64) 2/3) (pow.f64 1/2 2/3))
(*.f64 (pow.f64 1/2 2/3) (pow.f64 (PI.f64) 2/3))
(.f64 (pow.f64 1 2/3) (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) 2/3) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2/3))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 2/3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 2/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) 4))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 1/6) 4) (pow.f64 (pow.f64 1/2 1/6) 4))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/12) 4) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/12) 4))
(.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(exp.f64 (.f64 2/3 (log.f64 (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 2/3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 (PI.f64) 1/2))) 4))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))

Outputs
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(/.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))
(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 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
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(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) 2/3) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2/3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2)) 2/3) (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (PI.f64)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 2/3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 2/3))
(pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 4/3)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 1/2 (PI.f64))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) 4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (PI.f64)))) 4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 1/6)) 4))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 1/6) 4) (pow.f64 (pow.f64 1/2 1/6) 4))
(.f64 (pow.f64 (PI.f64) 2/3) (.f64 (pow.f64 1/2 1/3) (pow.f64 1/2 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (pow.f64 1/2 1/6) 4))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/12) 4) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/12) 4))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))
(exp.f64 (.f64 2/3 (log.f64 (.f64 (PI.f64) 1/2))))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 2/3))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 (PI.f64) 1/2))) 4))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2))

eval438.0ms (3.4%)

Compiler: Compiled 16847 to 14265 computations (15.3% saved)

prune149.0ms (1.2%)

Pruning

48 alts after pruning (37 fresh and 11 done)

	Pruned	Kept	Total
New	825	17	842
Fresh	9	20	29
Picked	1	4	5
Done	2	7	9
Total	837	48	885

Accuracy

10.9%

Counts

885 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.5%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.5%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.6%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
	10.6%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
✓	10.5%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.6%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	10.6%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.4%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.4%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.2%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
	10.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	7.2%	(/.f64 1 (/.f64 1 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	7.2%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.2%	(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
	7.2%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
	7.2%	(-.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 3) 1)
	7.2%	(-.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 3) 1)
✓	7.2%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	7.2%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
✓	7.2%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.2%	(-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3)) 1)
	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) 3) 3))
✓	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 3)) 3))
	10.5%	(-.f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3)) 3))
	10.6%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	10.6%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))
✓	10.5%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	5.3%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 9)))
	5.4%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.2%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
	6.8%	(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
	7.2%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.2%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.2%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.2%	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	7.2%	(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
	7.2%	(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
	7.2%	(.f64 2 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/2))))
	7.2%	(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
	7.2%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	7.2%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	7.2%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1832 to 1606 computations (12.3% saved)

regimes95.0ms (0.7%)

Counts

67 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	x
11.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.6%	1	`x`
10.6%	1	`(acos.f64 (-.f64 1 x))`
10.6%	1	`(-.f64 1 x)`

Compiler

Compiled 1096 to 935 computations (14.7% saved)

regimes52.0ms (0.4%)

Counts

41 → 1

Calls

Call 1

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

Calls

3 calls:

19.0ms	x
9.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.6%	1	`(acos.f64 (-.f64 1 x))`
10.6%	1	`(-.f64 1 x)`
10.6%	1	`x`

Compiler

Compiled 509 to 441 computations (13.4% saved)

regimes32.0ms (0.3%)

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

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

Calls

3 calls:

14.0ms	x
5.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.6%	1	`(acos.f64 (-.f64 1 x))`
10.6%	1	`(-.f64 1 x)`
10.6%	1	`x`

Compiler

Compiled 281 to 245 computations (12.8% saved)

regimes27.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

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

Compiler

Compiled 221 to 192 computations (13.1% saved)

regimes41.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
9.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.7%	2	`x`
9.7%	2	`(acos.f64 (-.f64 1 x))`
9.7%	2	`(-.f64 1 x)`

Compiler

Compiled 210 to 183 computations (12.9% saved)

regimes42.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

Outputs
(.f64 2 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))

Calls

3 calls:

23.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.7%	2	`x`
9.7%	2	`(acos.f64 (-.f64 1 x))`
9.7%	2	`(-.f64 1 x)`

Compiler

Compiled 199 to 174 computations (12.6% saved)

regimes28.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
7.0ms	(acos.f64 (-.f64 1 x))
4.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
9.7%	2	`x`
9.7%	2	`(acos.f64 (-.f64 1 x))`
9.7%	2	`(-.f64 1 x)`

Compiler

Compiled 100 to 85 computations (15% saved)

regimes22.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
6.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.7%	2	`x`
9.7%	2	`(acos.f64 (-.f64 1 x))`
9.7%	2	`(-.f64 1 x)`

Compiler

Compiled 68 to 58 computations (14.7% saved)

regimes14.0ms (0.1%)

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 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(/.f64 1 (/.f64 1 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))

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

Calls

3 calls:

8.0ms	x
2.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
7.2%	1	`x`
7.2%	1	`(acos.f64 (-.f64 1 x))`
7.2%	1	`(-.f64 1 x)`

Compiler

Compiled 62 to 53 computations (14.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
7.2%	1	`x`
7.2%	1	`(acos.f64 (-.f64 1 x))`
7.2%	1	`(-.f64 1 x)`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999999999999989	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999999999999989	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999999999999989	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999999999999989	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
28×	`sub-neg`
20×	`*-commutative`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	4294967688
1	73	4294967688
2	94	4294967688
3	107	4294967688
4	113	4294967688

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))
(-.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))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (.f64 2 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/2)))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))

Outputs
(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))
(-.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))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (.f64 2 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/2)))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (.f64 2 (log.f64 (exp.f64 (.f64 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 158 to 137 computations (13.3% saved)

soundness2.9s (22.5%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1795	11
0	26	235
1	590	165
2	7887	165
0	32	237
1	736	183
0	26	235
1	590	165
2	7887	165
0	32	237
1	736	183
0	717	25492
1	1757	23940
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	235
1	590	165
2	7887	165
0	684	39260
1	1776	36858
0	36	223
1	792	161
2	7395	161
0	26	235
1	590	165
2	7887	165
0	26	235
1	590	165
2	7887	165
0	26	235
1	590	165
2	7887	165
0	32	237
1	736	183
0	36	223
1	792	161
2	7395	161
0	504	42949685306
1	1116	12134
2	4440	12034

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

Compiler

Compiled 1206 to 995 computations (17.5% saved)

end0.0ms (0%)

preprocess260.0ms (2%)

Compiler: Compiled 324 to 264 computations (18.5% saved)

analyze0.0ms (0%)

sample2.6s (20.3%)

preprocess19.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize63.0ms (0.5%)

series0.0ms (0%)

rewrite80.0ms (0.6%)

simplify94.0ms (0.7%)

eval14.0ms (0.1%)

prune56.0ms (0.4%)

localize988.0ms (7.7%)

series17.0ms (0.1%)

rewrite248.0ms (1.9%)

simplify302.0ms (2.3%)

eval439.0ms (3.4%)

prune169.0ms (1.3%)

localize945.0ms (7.3%)

series22.0ms (0.2%)

rewrite121.0ms (0.9%)

simplify186.0ms (1.4%)

eval641.0ms (5%)

prune213.0ms (1.7%)

localize1.0s (8%)

series155.0ms (1.2%)

rewrite157.0ms (1.2%)

simplify187.0ms (1.5%)

eval438.0ms (3.4%)

prune149.0ms (1.2%)

regimes95.0ms (0.7%)

regimes52.0ms (0.4%)

regimes32.0ms (0.3%)

regimes27.0ms (0.2%)

regimes41.0ms (0.3%)

regimes42.0ms (0.3%)

regimes28.0ms (0.2%)

regimes22.0ms (0.2%)

regimes14.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

soundness2.9s (22.5%)

end0.0ms (0%)

preprocess260.0ms (2%)

Profiling