Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.8s (14.2%)

Results

1.0s	4118×	body	1024	valid
393.0ms	2112×	body	512	valid
214.0ms	1646×	body	256	valid
165.0ms	380×	body	2048	valid

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

7.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(acos.f64 (-.f64 1 x))
▶	7.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize51.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	7.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite54.0ms (0.4%)

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))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

24 → 26

Calls

Call 1

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

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

eval7.0ms (0.1%)

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

prune25.0ms (0.2%)

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

Accurracy

7.7%

Counts

27 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	7.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	7.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	7.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.7%	(acos.f64 (-.f64 1 x))
	7.7%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	7.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	7.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	7.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 374 to 312 computations (16.6% saved)

localize611.0ms (4.8%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
✓	99.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	97.5%	(asin.f64 (-.f64 1 x))
✓	11.9%	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
✓	99.9%	(log.f64 (acos.f64 (-.f64 1 x)))
✓	92.8%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	7.7%	(acos.f64 (-.f64 1 x))
✓	97.5%	(asin.f64 (-.f64 1 x))
✓	11.8%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	11.8%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.7%	(acos.f64 (-.f64 1 x))
✓	100.0%	(exp.f64 (acos.f64 (-.f64 1 x)))
✓	11.9%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 168 to 126 computations (25% saved)

series55.0ms (0.4%)

Counts

11 → 100

Calls

33 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(log.f64 (acos.f64 (-.f64 1 x)))
18.0ms	x	@	inf	(log.f64 (acos.f64 (-.f64 1 x)))
10.0ms	x	@	-inf	(log.f64 (acos.f64 (-.f64 1 x)))
1.0ms	x	@	0	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))

rewrite185.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`expm1-udef`
778×	`log1p-udef`
506×	`add-sqr-sqrt`
498×	`pow1`
494×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	161
1	518	161
2	7398	161

Stop Event

1×	node limit

Counts

11 → 712

Calls

Call 1

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

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

simplify497.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-r`
870×	`times-frac`
818×	`associate-l`
718×	`fma-def`
578×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	640	38544
1	1640	36624

Stop Event

1×	node limit

Counts

812 → 403

Calls

Call 1

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

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

eval447.0ms (3.5%)

Compiler: Compiled 18172 to 14865 computations (18.2% saved)

prune159.0ms (1.2%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	726	28	754
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	728	33	761

Accurracy

11.5%

Counts

761 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.7%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
	11.2%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.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))))
	7.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	7.7%	(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
▶	7.7%	(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.7%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.7%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
▶	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.7%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶	11.3%	(+.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))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	7.7%	(.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)))))
	7.7%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	7.7%	(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
	7.7%	(log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.7%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.7%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.7%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.7%	(acos.f64 (-.f64 1 x))
▶	7.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.7%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
	11.2%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.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))))
	7.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	7.7%	(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
▶	7.7%	(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.7%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.7%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
▶	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.7%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶	11.3%	(+.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))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	7.7%	(.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)))))
	7.7%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	7.7%	(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
	7.7%	(log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.7%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.7%	(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.7%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1966 to 1716 computations (12.7% saved)

localize1.8s (14.3%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
✓	99.9%	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
✓	11.8%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(acos.f64 (-.f64 1 x))
✓	98.5%	(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
✓	98.5%	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
	97.5%	(asin.f64 (-.f64 1 x))
✓	11.8%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	99.9%	(-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
✓	99.9%	(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
✓	12.4%	(-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
	7.7%	(acos.f64 (-.f64 1 x))
✓	100.0%	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	12.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.7%	(acos.f64 (-.f64 1 x))
✓	98.6%	(sqrt.f64 (asin.f64 (-.f64 1 x)))
	97.5%	(asin.f64 (-.f64 1 x))
	7.7%	(acos.f64 (-.f64 1 x))
✓	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 253 to 207 computations (18.2% saved)

series12.0ms (0.1%)

Counts

13 → 140

Calls

39 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`add-sqr-sqrt`
650×	`pow1`
646×	`*-un-lft-identity`
620×	`add-cube-cbrt`
618×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	285
1	691	237

Stop Event

1×	node limit

Counts

13 → 484

Calls

Call 1

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

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def`
816×	`times-frac`
588×	`associate-r`
572×	`associate-l`
370×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	773	624
1	1833	624

Stop Event

1×	node limit

Counts

624 → 384

Calls

Call 1

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

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

eval752.0ms (5.8%)

Compiler: Compiled 42341 to 36089 computations (14.8% saved)

prune261.0ms (2%)

Pruning

52 alts after pruning (43 fresh and 9 done)

	Pruned	Kept	Total
New	1572	25	1597
Fresh	5	18	23
Picked	1	4	5
Done	0	5	5
Total	1578	52	1630

Accurracy

11.6%

Counts

1630 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.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)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
✓	7.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
▶	7.7%	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.7%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	11.2%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.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))))
	7.7%	(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
▶	7.7%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.7%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
▶	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)))
✓	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
	6.0%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))))
✓	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.7%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	7.7%	(+.f64 (/.f64 1 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))) 1)
	7.7%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
	7.7%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.7%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.0%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	11.3%	(+.f64 (log.f64 (exp.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))))
	7.4%	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	7.7%	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
	6.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
	6.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	11.3%	(+.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))))
	11.3%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (asin.f64 (-.f64 1 x))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	7.7%	(.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)))))
	7.7%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	7.7%	(log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.7%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	7.7%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.7%	(acos.f64 (-.f64 1 x))
	7.7%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.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)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
✓	7.7%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
▶	7.7%	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.7%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	11.2%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.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))))
	7.7%	(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
▶	7.7%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.7%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
▶	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)))
✓	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
	6.0%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))))
✓	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.7%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	7.7%	(+.f64 (/.f64 1 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))) 1)
	7.7%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
	7.7%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	7.7%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.0%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	11.3%	(+.f64 (log.f64 (exp.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))))
	7.4%	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	7.7%	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
	6.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
	6.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	11.3%	(+.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))))
	11.3%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (asin.f64 (-.f64 1 x))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	7.7%	(.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)))))
	7.7%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	7.7%	(log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.7%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	7.7%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 3334 to 2948 computations (11.6% saved)

localize2.3s (17.8%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1)
	99.9%	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
✓	11.8%	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(acos.f64 (-.f64 1 x))
✓	98.5%	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
✓	98.5%	(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)
	97.5%	(asin.f64 (-.f64 1 x))
✓	11.8%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)))
✓	99.9%	(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	97.5%	(asin.f64 (-.f64 1 x))
✓	92.8%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
	11.8%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	99.6%	(/.f64 1 (acos.f64 (-.f64 1 x)))
✓	99.6%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.7%	(acos.f64 (-.f64 1 x))
	97.5%	(asin.f64 (-.f64 1 x))
	11.9%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.7%	(acos.f64 (-.f64 1 x))
	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 289 to 237 computations (18% saved)

series134.0ms (1%)

Counts

9 → 100

Calls

27 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
24.0ms	x	@	0	(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
13.0ms	x	@	inf	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
13.0ms	x	@	0	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
12.0ms	x	@	inf	(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`expm1-udef`
890×	`log1p-udef`
566×	`add-sqr-sqrt`
556×	`pow1`
546×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	157
1	709	137
2	7282	137

Stop Event

1×	node limit

Counts

9 → 331

Calls

Call 1

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

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

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1016×	`fma-neg`
626×	`div-sub`
514×	`associate-r`
506×	`sqr-pow`
472×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	506	12285
1	1155	11917
2	4411	11813

Stop Event

1×	node limit

Counts

431 → 287

Calls

Call 1

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

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

eval697.0ms (5.4%)

Compiler: Compiled 36992 to 31288 computations (15.4% saved)

prune200.0ms (1.6%)

Pruning

63 alts after pruning (51 fresh and 12 done)

	Pruned	Kept	Total
New	1362	21	1383
Fresh	8	30	38
Picked	1	4	5
Done	1	8	9
Total	1372	63	1435

Accurracy

11.6%

Counts

1435 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.2%	(fma.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) -1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	7.7%	(fma.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	11.2%	(/.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))))
✓	7.7%	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	7.7%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	7.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	5.9%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 6) 3)))
	5.9%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)) 3) 3)))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3) 3)))
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3) 3)))
✓	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)))
	5.9%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 18)))
	5.9%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3)) 3)))
	6.0%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
	7.7%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) 3)))
	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)))
	11.2%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 9)))
✓	6.0%	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
	5.9%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 9))))
	11.3%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))))
	11.2%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))))
	6.0%	(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))))
✓	7.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.7%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	7.7%	(+.f64 (/.f64 1 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))) 1)
	11.3%	(+.f64 (/.f64 1 (/.f64 1 (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))))
	7.7%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
	7.7%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
	11.2%	(+.f64 (+.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)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
✓	7.7%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.0%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	6.0%	(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	11.3%	(+.f64 (log.f64 (exp.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))))
	7.4%	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	7.7%	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
	6.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
	6.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	11.3%	(+.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))))
	11.3%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (asin.f64 (-.f64 1 x))))
	11.2%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	7.7%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	7.7%	(log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.7%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	7.7%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	11.2%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	11.2%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
	4.1%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
✓	7.7%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	7.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	7.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 2528 to 2193 computations (13.3% saved)

regimes84.0ms (0.7%)

Counts

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

Outputs
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
11.3%	1	`x`
11.3%	1	`(acos.f64 (-.f64 1 x))`
11.3%	1	`(-.f64 1 x)`

Compiler

Compiled 1422 to 1209 computations (15% saved)

regimes74.0ms (0.6%)

Counts

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

Outputs
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))

Calls

3 calls:

31.0ms	x
8.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
11.3%	1	`(acos.f64 (-.f64 1 x))`
11.3%	1	`(-.f64 1 x)`
11.3%	1	`x`

Compiler

Compiled 1236 to 1048 computations (15.2% saved)

regimes67.0ms (0.5%)

Counts

68 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.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 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))) 1)
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 9)))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 18)))
(fma.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.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) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 6) 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 (cbrt.f64 (pow.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 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3) 3)))
(+.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))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (/.f64 1 (/.f64 1 (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))))
(log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)) 3) 3)))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(.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)))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 9) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 9))))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.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 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (asin.f64 (-.f64 1 x))))

Outputs
(+.f64 (/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))

Calls

3 calls:

28.0ms	x
8.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
11.3%	1	`(-.f64 1 x)`
11.3%	1	`x`
11.3%	1	`(acos.f64 (-.f64 1 x))`

Compiler

Compiled 1063 to 904 computations (15% saved)

regimes48.0ms (0.4%)

Counts

50 → 1

Calls

Call 1

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

Outputs
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))

Calls

3 calls:

21.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
11.3%	1	`x`
11.3%	1	`(acos.f64 (-.f64 1 x))`
11.3%	1	`(-.f64 1 x)`

Compiler

Compiled 664 to 565 computations (14.9% saved)

regimes44.0ms (0.3%)

Counts

47 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.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 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))) 1)
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 9)))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 18)))
(fma.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.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) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 6) 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 (cbrt.f64 (pow.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 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3) 3)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
11.2%	1	`(-.f64 1 x)`
11.2%	1	`x`
11.2%	1	`(acos.f64 (-.f64 1 x))`

Compiler

Compiled 600 to 510 computations (15% saved)

regimes32.0ms (0.3%)

Counts

34 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.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 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))) 1)
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 9)))
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 18)))
(fma.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.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:

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

Results

Accuracy	Segments	Branch
11.2%	1	`x`
11.2%	1	`(acos.f64 (-.f64 1 x))`
11.2%	1	`(-.f64 1 x)`

Compiler

Compiled 393 to 336 computations (14.5% saved)

regimes37.0ms (0.3%)

Counts

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

Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)

Calls

3 calls:

20.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.3%	2	`x`
10.3%	2	`(acos.f64 (-.f64 1 x))`
10.3%	2	`(-.f64 1 x)`

Compiler

Compiled 272 to 232 computations (14.7% saved)

regimes35.0ms (0.3%)

Counts

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

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

Calls

3 calls:

18.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.3%	2	`x`
10.3%	2	`(acos.f64 (-.f64 1 x))`
10.3%	2	`(-.f64 1 x)`

Compiler

Compiled 251 to 215 computations (14.3% saved)

regimes22.0ms (0.2%)

Counts

12 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))

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

Calls

3 calls:

11.0ms	x
5.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.3%	2	`x`
10.3%	2	`(acos.f64 (-.f64 1 x))`
10.3%	2	`(-.f64 1 x)`

Compiler

Compiled 107 to 90 computations (15.9% saved)

regimes19.0ms (0.1%)

Counts

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

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

Calls

3 calls:

10.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.3%	2	`x`
10.3%	2	`(acos.f64 (-.f64 1 x))`
10.3%	2	`(-.f64 1 x)`

Compiler

Compiled 83 to 69 computations (16.9% saved)

regimes18.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.3%	2	`x`
10.3%	2	`(acos.f64 (-.f64 1 x))`
10.3%	2	`(-.f64 1 x)`

Compiler

Compiled 77 to 64 computations (16.9% saved)

regimes16.0ms (0.1%)

Counts

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

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

Calls

3 calls:

8.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.3%	2	`x`
10.3%	2	`(acos.f64 (-.f64 1 x))`
10.3%	2	`(-.f64 1 x)`

Compiler

Compiled 56 to 46 computations (17.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(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
7.7%	1	`(acos.f64 (-.f64 1 x))`
7.7%	1	`(-.f64 1 x)`
7.7%	1	`x`

Compiler

Compiled 40 to 33 computations (17.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999999999999999	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	0.9999999999999999	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	0.9999999999999999	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	0.9999999999999999	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	0.9999999999999999	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.137907872413392e-18	1.405300724465375e-16

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 105 to 91 computations (13.3% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
18×	`sub-neg`
14×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	757
1	86	757
2	100	757
3	109	757
4	113	757

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))))
(+.f64 (log.f64 (exp.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 (/.f64 1 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(-.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) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (acos.f64 (-.f64 1 x)) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))

Outputs
(-.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 9))))
(+.f64 (log.f64 (exp.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 (/.f64 1 (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 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (/.f64 1 (/.f64 1 (acos.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))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(-.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) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 1 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1)) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (-.f64 1 x) 1) (acos.f64 (-.f64 1 x)) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (acos.f64 (-.f64 1 x)) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 261 to 226 computations (13.4% saved)

soundness1.5s (11.8%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1795	11
0	60	396
1	147	392
2	495	392
3	2261	392
4	5297	392
0	24	161
1	518	161
2	7398	161
0	24	161
1	518	161
2	7398	161
0	33	157
1	709	137
2	7282	137
0	31	285
1	691	237
0	7	11
1	146	11
2	1795	11
0	24	161
1	518	161
2	7398	161
0	31	285
1	691	237
0	7	11
1	146	11
2	1795	11
0	24	161
1	518	161
2	7398	161
0	24	161
1	518	161
2	7398	161
0	24	161
1	518	161
2	7398	161

Stop Event

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

Compiler

Compiled 1194 to 991 computations (17% saved)

end176.0ms (1.4%)

Compiler: Compiled 524 to 442 computations (15.6% saved)

analyze0.0ms (0%)

sample1.8s (14.2%)

preprocess17.0ms (0.1%)

simplify13.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize51.0ms (0.4%)

series0.0ms (0%)

rewrite54.0ms (0.4%)

simplify53.0ms (0.4%)

eval7.0ms (0.1%)

prune25.0ms (0.2%)

localize611.0ms (4.8%)

series55.0ms (0.4%)

rewrite185.0ms (1.4%)

simplify497.0ms (3.9%)

eval447.0ms (3.5%)

prune159.0ms (1.2%)

localize1.8s (14.3%)

series12.0ms (0.1%)

rewrite102.0ms (0.8%)

simplify96.0ms (0.7%)

eval752.0ms (5.8%)

prune261.0ms (2%)

localize2.3s (17.8%)

series134.0ms (1%)

rewrite125.0ms (1%)

simplify140.0ms (1.1%)

eval697.0ms (5.4%)

prune200.0ms (1.6%)

regimes84.0ms (0.7%)

regimes74.0ms (0.6%)

regimes67.0ms (0.5%)

regimes48.0ms (0.4%)

regimes44.0ms (0.3%)

regimes32.0ms (0.3%)

regimes37.0ms (0.3%)

regimes35.0ms (0.3%)

regimes22.0ms (0.2%)

regimes19.0ms (0.1%)

regimes18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify17.0ms (0.1%)

soundness1.5s (11.8%)

end176.0ms (1.4%)

Profiling