Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample2.1s (24.2%)

Results

1.3s	4129×	body	1024	valid
382.0ms	2025×	body	512	valid
219.0ms	403×	body	2048	valid
191.0ms	1699×	body	256	valid

Bogosity

preprocess13.0ms (0.2%)

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)

simplify12.0ms (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

6.8%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

24 → 26

Calls

Call 1

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

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

eval8.0ms (0.1%)

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

prune11.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	19	7	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	8	27

Accurracy

6.8%

Counts

27 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	6.8%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	6.8%	(/.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))))))
	6.8%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	6.8%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	6.8%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	6.8%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.8%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 207 to 174 computations (15.9% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	92.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`unpow-prod-down`
826×	`prod-diff`
810×	`log-prod`
730×	`fma-def`
486×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	11
2	2943	11

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

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 (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 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 1) (pow.f64 (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(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))))
(expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 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 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1060×	`fma-neg`
1016×	`cancel-sign-sub-inv`
854×	`distribute-lft-in`
806×	`distribute-rgt-in`
652×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3325
1	630	3185
2	2013	3147

Stop Event

1×	node limit

Counts

113 → 121

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 (+.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 (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 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 1) (pow.f64 (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(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))))
(expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 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 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 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 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.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 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(*.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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 1) (pow.f64 (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 2) 1/2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 0)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 0)
(.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (expm1.f64 (.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(acos.f64 (-.f64 1 x))

localize19.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	98.1%	(asin.f64 (-.f64 1 x))
✓	92.7%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms	x	@	inf	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(asin.f64 (-.f64 1 x))
0.0ms	x	@	0	(asin.f64 (-.f64 1 x))

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`log-prod`
762×	`fma-def`
668×	`pow-prod-down`
562×	`pow-prod-up`
550×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	256	22
2	3288	22

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

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

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

738×	`unswap-sqr`
706×	`distribute-lft-in`
626×	`distribute-rgt-in`
532×	`fma-neg`
442×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	5895
1	660	5031
2	2127	3899

Stop Event

1×	node limit

Counts

169 → 175

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(exp.f64 (acos.f64 (-.f64 1 x)))
✓	92.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`pow1`
1492×	`add-exp-log`
1490×	`log1p-expm1-u`
1490×	`expm1-log1p-u`
1462×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	170	26
2	1982	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

958×	`associate-r`
816×	`associate-l`
678×	`fma-def`
616×	`unswap-sqr`
600×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	941
1	225	937
2	795	937
3	4489	893

Stop Event

1×	node limit

Counts

59 → 54

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(cbrt.f64 (acos.f64 (-.f64 1 x)))
✓	99.8%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 23 to 18 computations (21.7% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (acos.f64 (-.f64 1 x)))
0.0ms	x	@	0	(cbrt.f64 (acos.f64 (-.f64 1 x)))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`pow1`
1670×	`add-exp-log`
1668×	`log1p-expm1-u`
1668×	`expm1-log1p-u`
1640×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	211	26
2	2270	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1734×	`fma-def`
964×	`unswap-sqr`
856×	`log-prod`
828×	`exp-prod`
750×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1071
1	239	1067
2	720	1067
3	2947	1007

Stop Event

1×	node limit

Counts

67 → 54

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	99.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
0.0ms	x	@	-inf	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0.0ms	x	@	0	(pow.f64 (acos.f64 (-.f64 1 x)) 3)

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1946×	`pow1`
1822×	`add-exp-log`
1820×	`log1p-expm1-u`
1820×	`expm1-log1p-u`
212×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	242	28
2	2502	28

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1040×	`fma-def`
644×	`sqr-pow`
562×	`exp-prod`
514×	`exp-sum`
494×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	914
1	244	910
2	642	910
3	1859	910
4	5171	910

Stop Event

1×	node limit

Counts

58 → 49

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

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

eval244.0ms (2.8%)

Compiler: Compiled 8683 to 7207 computations (17% saved)

prune122.0ms (1.4%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	529	28	557
Fresh	2	0	2
Picked	1	0	1
Done	0	5	5
Total	532	33	565

Accurracy

10.3%

Counts

565 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.2%	(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
	6.8%	(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	10.2%	(fma.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 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	5.0%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.0%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	6.8%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
✓	6.8%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	6.8%	(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
✓	6.8%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
	10.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	10.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
✓	6.8%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	6.8%	(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
	10.2%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
▶	6.8%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	6.8%	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	6.8%	(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
	6.8%	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
▶	6.8%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	6.8%	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
▶	6.8%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.8%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	6.8%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	6.8%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.8%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
✓	6.8%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1102 to 949 computations (13.9% saved)

localize25.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	98.4%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
	89.7%	(acos.f64 (-.f64 1 x))
✓	9.3%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))

Compiler

Compiled 56 to 43 computations (23.2% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	-inf	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	inf	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	-inf	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
0.0ms	x	@	0	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))

rewrite99.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`log-prod`
1060×	`fma-def`
650×	`pow-exp`
526×	`expm1-udef`
522×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	336	35
2	4329	35

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

Inputs

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

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

(sqrt.f64 (*.f64 (PI.f64) 1/2))

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

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg`
632×	`associate-+r+`
500×	`distribute-rgt-neg-in`
498×	`distribute-lft-neg-in`
478×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	8335
1	981	6861
2	3035	5713

Stop Event

1×	node limit

Counts

259 → 280

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	92.9%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 25 to 20 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`unpow-prod-down`
842×	`log-prod`
676×	`prod-diff`
646×	`fma-def`
494×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	225	28
2	2984	28

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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 (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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.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 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(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 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (.f64 (acos.f64 (-.f64 1 x)) -1)))))
(.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

686×	`difference-of-squares`
608×	`log-prod`
574×	`distribute-lft-neg-in`
574×	`distribute-rgt-neg-in`
502×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5505
1	838	5237
2	2957	5027

Stop Event

1×	node limit

Counts

181 → 190

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 (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 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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 (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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.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 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(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 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (.f64 (acos.f64 (-.f64 1 x)) -1)))))
(.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -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 (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 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 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.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 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
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(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) -1)
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(expm1.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))

localize21.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	99.9%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
✓	92.5%	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 38 to 31 computations (18.4% saved)

series64.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
22.0ms	x	@	inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
14.0ms	x	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	0	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
0.0ms	x	@	inf	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`log-prod`
734×	`exp-prod`
504×	`pow-prod-down`
498×	`prod-exp`
492×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	236	47
2	2791	47

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) (.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 1/3 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(.f64 1 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(.f64 3 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 2 (.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 1/2 (acos.f64 (-.f64 1 x))) (.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))) (.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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)))))
(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)))))
(log.f64 (.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(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 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (pow.f64 (E.f64) (.f64 1/3 (.f64 1/3 (acos.f64 (-.f64 1 x))))))
(.f64 (pow.f64 (E.f64) (.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3) 1/9)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (E.f64)) (acos.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(pow.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) 1/3)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

920×	`unswap-sqr`
658×	`log-prod`
638×	`associate-/l*`
598×	`sqr-pow`
472×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	4294971857
1	728	4049
2	2403	4019

Stop Event

1×	node limit

Counts

169 → 174

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) (.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 1/3 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(.f64 1 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(.f64 3 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 2 (.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 1/2 (acos.f64 (-.f64 1 x))) (.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))) (.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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)))))
(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)))))
(log.f64 (.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(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 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (pow.f64 (E.f64) (.f64 1/3 (.f64 1/3 (acos.f64 (-.f64 1 x))))))
(.f64 (pow.f64 (E.f64) (.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3) 1/9)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (E.f64)) (acos.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(pow.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) 1/3)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

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

localize23.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	99.9%	(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3)
✓	92.7%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 39 to 32 computations (17.9% saved)

series60.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
18.0ms	x	@	inf	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
14.0ms	x	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3)

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`pow1`
1800×	`add-exp-log`
1798×	`log1p-expm1-u`
1798×	`expm1-log1p-u`
210×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	247	26
2	2479	26

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1730×	`log-prod`
852×	`fma-def`
546×	`exp-prod`
528×	`*-commutative`
458×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1400
1	280	1116
2	960	1116
3	3595	1072
4	7373	1072

Stop Event

1×	node limit

Counts

72 → 61

Calls

Call 1

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

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

localize22.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	92.7%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x)))))
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 54 to 35 computations (35.2% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	inf	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	-inf	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	-inf	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
0.0ms	x	@	0	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`log-prod`
1082×	`fma-def`
700×	`pow-exp`
562×	`expm1-udef`
558×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	356	29
2	4610	29

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

Inputs

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

(sqrt.f64 (PI.f64))

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

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Rules

920×	`distribute-lft-in`
852×	`distribute-rgt-in`
778×	`unswap-sqr`
624×	`fma-neg`
564×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	6013
1	943	5833
2	2826	5441

Stop Event

1×	node limit

Counts

255 → 271

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

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

eval433.0ms (5%)

Compiler: Compiled 22734 to 18669 computations (17.9% saved)

prune200.0ms (2.3%)

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	1238	25	1263
Fresh	13	10	23
Picked	1	0	1
Done	0	9	9
Total	1252	44	1296

Accurracy

10.5%

Counts

1296 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	10.3%	(fma.f64 (.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4) (neg.f64 (asin.f64 (-.f64 1 x))))
	6.8%	(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
	6.8%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
✓	6.8%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	5.0%	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (.f64 1/2 (PI.f64))) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
✓	6.8%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
✓	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
	10.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	10.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
✓	6.8%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	6.8%	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	5.0%	(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1))) 1)
	10.2%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	6.8%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
▶	6.8%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
✓	6.8%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	6.8%	(+.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
	6.9%	(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
	6.8%	(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	6.8%	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
▶	6.8%	(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
	6.8%	(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)))
	6.8%	(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
▶	6.8%	(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
	10.1%	(*.f64 3 (log.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
	6.8%	(.f64 3 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	10.1%	(.f64 3 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
	6.8%	(.f64 3 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
	6.8%	(.f64 3 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))))
✓	6.8%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	10.1%	(log.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) 3))
	10.1%	(log.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) 3))
	6.8%	(log.f64 (pow.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) 3))
	6.8%	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
✓	6.8%	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
	6.8%	(log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))))
	6.8%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	6.8%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.8%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1348 to 1203 computations (10.8% saved)

localize30.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	98.4%	(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
	98.1%	(asin.f64 (-.f64 1 x))
✓	14.8%	(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))

Compiler

Compiled 61 to 48 computations (21.3% saved)

series24.0ms (0.3%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

24.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite95.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`prod-diff`
1462×	`log-prod`
566×	`expm1-udef`
560×	`log1p-udef`
548×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	102
1	371	26
2	4434	26

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs

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

(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2)))

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

simplify113.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

824×	`unswap-sqr`
666×	`distribute-lft-in`
664×	`associate-+r+`
614×	`distribute-rgt-in`
614×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	10705
1	913	6115
2	2483	4603
3	6975	4603

Stop Event

1×	node limit

Counts

161 → 182

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(-.f64 (asin.f64 (-.f64 1 x)) -1)
✓	99.9%	(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
	98.1%	(asin.f64 (-.f64 1 x))
✓	9.5%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)

Compiler

Compiled 44 to 35 computations (20.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
0.0ms	x	@	0	(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
0.0ms	x	@	inf	(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
0.0ms	x	@	0	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
0.0ms	x	@	-inf	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`fma-def`
1426×	`log-prod`
698×	`fma-neg`
582×	`expm1-udef`
580×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	338	45
2	4621	45

Stop Event

1×	node limit

Counts

3 → 313

Calls

Call 1

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

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

simplify143.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1244×	`fma-neg`
922×	`unswap-sqr`
842×	`times-frac`
552×	`distribute-lft-neg-in`
426×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	532	14077
1	1211	13129
2	3540	12451

Stop Event

1×	node limit

Counts

349 → 387

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 1/3 (acos.f64 (-.f64 1 x)))
✓	99.9%	(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
✓	92.5%	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 55 to 47 computations (14.5% saved)

series67.0ms (0.8%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
12.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
12.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
0.0ms	x	@	0	(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
0.0ms	x	@	-inf	(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`log-prod`
916×	`prod-diff`
582×	`pow-prod-down`
518×	`pow-prod-up`
486×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	297	45
2	3380	45

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(.f64 3 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))

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

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1660×	`fma-def`
878×	`distribute-lft-in`
842×	`distribute-rgt-in`
772×	`log-prod`
734×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	5314
1	548	5038
2	1593	4794
3	7541	4746

Stop Event

1×	node limit

Counts

168 → 133

Calls

Call 1

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

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

localize38.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
✓	99.9%	(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
✓	92.5%	(log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))
	89.7%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 71 to 61 computations (14.1% saved)

series58.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))
18.0ms	x	@	inf	(log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))
18.0ms	x	@	-inf	(log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))
0.0ms	x	@	0	(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
0.0ms	x	@	-inf	(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`log-prod`
690×	`prod-diff`
646×	`pow-prod-down`
598×	`pow-prod-up`
542×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	305	47
2	3493	47

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

(log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))

(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))

(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)

Outputs
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) (.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (/.f64 1 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(+.f64 (.f64 1/3 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (log.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(+.f64 (log.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1)) (log.f64 (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1)))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log1p.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(-.f64 (log.f64 (expm1.f64 (.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (-.f64 1 (.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))) (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (log.f64 (neg.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(.f64 1 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(.f64 3 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 2 (.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))) (.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 1/2 (acos.f64 (-.f64 1 x))) (.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))))))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(-.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (log1p.f64 (+.f64 1 (cbrt.f64 (exp.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 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(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 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (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 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 -1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(.f64 (expm1.f64 (.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1) (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (-.f64 1 (.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (neg.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (pow.f64 (E.f64) (log1p.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))) (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1/2)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/6)
(pow.f64 (pow.f64 (exp.f64 3) (acos.f64 (-.f64 1 x))) 1/9)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) -1)
(sqrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(fma.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1) -1)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

668×	`associate-+r+`
652×	`unswap-sqr`
602×	`associate-/l*`
596×	`log-prod`
592×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	4294973756
1	780	5842
2	2585	5742

Stop Event

1×	node limit

Counts

184 → 202

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) (.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (/.f64 1 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(+.f64 (.f64 1/3 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (log.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(+.f64 (log.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1)) (log.f64 (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1)))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log1p.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(-.f64 (log.f64 (expm1.f64 (.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (-.f64 1 (.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))) (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (log.f64 (neg.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(.f64 1 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(.f64 3 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 2 (.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))) (.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 1/2 (acos.f64 (-.f64 1 x))) (.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))))))) (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(-.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (log1p.f64 (+.f64 1 (cbrt.f64 (exp.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 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(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 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (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 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 -1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(.f64 (expm1.f64 (.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (/.f64 1 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1) (-.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (-.f64 1 (.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (neg.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (pow.f64 (E.f64) (log1p.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))) (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1/2)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/6)
(pow.f64 (pow.f64 (exp.f64 3) (acos.f64 (-.f64 1 x))) 1/9)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) -1)
(sqrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 1 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)
(fma.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1) -1)

Outputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
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(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) -1))
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (+.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) -1))
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (hypot.f64 1 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x)))) -1)

localize26.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	98.4%	(sqrt.f64 (PI.f64))
	98.1%	(asin.f64 (-.f64 1 x))
✓	14.6%	(fma.f64 (.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4) (neg.f64 (asin.f64 (-.f64 1 x))))

Compiler

Compiled 52 to 36 computations (30.8% saved)

series27.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

27.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`log-prod`
738×	`pow-exp`
738×	`prod-diff`
586×	`expm1-udef`
580×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	369	25
2	4364	21

Stop Event

1×	node limit

Counts

1 → 94

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4) (neg.f64 (asin.f64 (-.f64 1 x))))

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

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-+l-`
894×	`associate-+r-`
526×	`associate-+r+`
462×	`distribute-lft-out`
454×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	8844
1	628	6714
2	1782	4424
3	4747	4414

Stop Event

1×	node limit

Counts

106 → 137

Calls

Call 1

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

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

eval622.0ms (7.2%)

Compiler: Compiled 33050 to 27837 computations (15.8% saved)

prune248.0ms (2.9%)

Pruning

53 alts after pruning (44 fresh and 9 done)

	Pruned	Kept	Total
New	1318	21	1339
Fresh	7	23	30
Picked	0	1	1
Done	5	8	13
Total	1330	53	1383

Accurracy

10.6%

Counts

1383 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.4%	(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 3/4) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.2%	(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	5.0%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.2%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
✓	10.3%	(fma.f64 (.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.2%	(fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	10.3%	(fma.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
	10.2%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	6.8%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
✓	6.8%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.2%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
	10.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	10.2%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	10.2%	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
✓	6.8%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	5.0%	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) -1)) 1)
	6.8%	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	5.0%	(+.f64 (fma.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2) (+.f64 1 (asin.f64 (-.f64 1 x))))) 1)
	6.8%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	6.8%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 3)) 1)
	10.2%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) -1)) 1)
✓	6.8%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
✓	6.8%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	6.8%	(+.f64 (*.f64 (fma.f64 1/3 (acos.f64 (-.f64 1 x)) 1) 3) -3)
	6.8%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	6.9%	(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
	6.8%	(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	6.8%	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	5.0%	(.f64 3 (-.f64 (log.f64 (expm1.f64 (.f64 3 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log1p.f64 (*.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (+.f64 2 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
	6.8%	(*.f64 3 (+.f64 (fma.f64 1/3 (acos.f64 (-.f64 1 x)) 1) -1))
	6.8%	(.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))))))
	6.8%	(.f64 3 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))))))
	10.2%	(*.f64 3 (log.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)))
	6.8%	(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)))
	6.8%	(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
	4.9%	(.f64 3 (log.f64 (/.f64 (pow.f64 (E.f64) (log.f64 (expm1.f64 (.f64 3 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (pow.f64 (E.f64) (log1p.f64 (*.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (+.f64 2 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))))
✓	6.8%	(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
	6.8%	(*.f64 3 (log.f64 (+.f64 (+.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1)))
	10.1%	(*.f64 3 (log.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
	6.8%	(.f64 3 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	10.1%	(.f64 3 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
	6.8%	(.f64 3 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
	6.8%	(.f64 3 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))))
✓	6.8%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	10.1%	(log.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) 3))
	10.1%	(log.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) 3))
	6.8%	(log.f64 (pow.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) 3))
	6.8%	(log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))))
	6.8%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	6.8%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	6.8%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 958 to 856 computations (10.6% saved)

regimes84.0ms (1%)

Counts

82 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
8.0ms	(-.f64 1 x)
6.0ms	(acos.f64 (-.f64 1 x))

Results

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

Compiler

Compiled 1535 to 1292 computations (15.8% saved)

regimes38.0ms (0.4%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
5.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
10.2%	1	`x`
10.2%	1	`(acos.f64 (-.f64 1 x))`
10.2%	1	`(-.f64 1 x)`

Compiler

Compiled 456 to 393 computations (13.8% saved)

regimes25.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.2%	1	`x`
10.2%	1	`(acos.f64 (-.f64 1 x))`
10.2%	1	`(-.f64 1 x)`

Compiler

Compiled 264 to 228 computations (13.6% saved)

regimes36.0ms (0.4%)

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

Outputs
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)

Calls

3 calls:

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

Results

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

Compiler

Compiled 253 to 219 computations (13.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.215216867226144e-7

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes27.0ms (0.3%)

Counts

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

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

Calls

3 calls:

14.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

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

Compiler

Compiled 159 to 136 computations (14.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.215216867226144e-7

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.3%)

Counts

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

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

Calls

3 calls:

13.0ms	x
5.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

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

Compiler

Compiled 148 to 126 computations (14.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.215216867226144e-7

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes22.0ms (0.3%)

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 118 to 99 computations (16.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.215216867226144e-7

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes20.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 102 to 85 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.215216867226144e-7

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.1%)

Counts

3 → 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)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.8%	1	`x`
6.8%	1	`(acos.f64 (-.f64 1 x))`
6.8%	1	`(-.f64 1 x)`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
6.8%	1	`x`
6.8%	1	`(acos.f64 (-.f64 1 x))`
6.8%	1	`(-.f64 1 x)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
18×	`sub-neg`
12×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	4294967783
1	72	4294967783
2	86	4294967783
3	98	4294967783
4	101	4294967783

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/4) (pow.f64 (.f64 (PI.f64) 1/2) 3/4) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/3) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))

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

Compiler

Compiled 197 to 175 computations (11.2% saved)

soundness997.0ms (11.6%)

Rules

1586×	`prod-diff`
1586×	`prod-diff`
1478×	`pow1`
1478×	`pow1`
1478×	`pow1`

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	12	36
1	256	22
2	3288	22
0	16	85
1	336	35
2	4329	35
0	18	102
1	371	26
2	4434	26
0	7	11
1	146	11
2	1795	11
0	9	23
1	207	11
2	2943	11
0	18	102
1	371	26
2	4434	26
0	7	11
1	146	11
2	1795	11
0	7	11
1	146	11
2	1795	11
0	10	34
1	225	28
2	2984	28
0	10	34
1	225	28
2	2984	28
0	12	36
1	256	22
2	3288	22
0	12	36
1	256	22
2	3288	22

Stop Event

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

Compiler

Compiled 1050 to 866 computations (17.5% saved)

end110.0ms (1.3%)

Compiler: Compiled 187 to 160 computations (14.4% saved)