Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.8s (11.9%)

Results

1.0s	4152×	body	1024	valid
397.0ms	2046×	body	512	valid
178.0ms	1651×	body	256	valid
146.0ms	407×	body	2048	valid

Bogosity

preprocess94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-def`
22×	`sub-neg`
18×	`distribute-lft-neg-in`
16×	`fma-neg`
16×	`associate--r+`

Problems

256×	`(acos.f64 (-.f64 1 x))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	20	42
2	32	42
3	61	42
4	98	42
5	137	42
6	161	42
7	170	42

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(acos.f64 (-.f64 1 x))
▶	6.4%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize52.0ms (0.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	6.4%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`unpow-prod-down`
392×	`log1p-expm1-u`
392×	`expm1-log1p-u`
371×	`add-exp-log`
357×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	84	14
2	1015	14

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1042×	`fma-def`
976×	`associate-r`
858×	`associate-l`
838×	`fma-neg`
816×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1427
1	347	1360
2	978	1344
3	5040	1344

Stop Event

1×	node limit

Counts

56 → 62

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

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

eval23.0ms (0.2%)

Compiler: Compiled 993 to 838 computations (15.6% saved)

prune45.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	50	12	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	13	63

Accuracy

10.2%

Counts

63 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	4.6%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	6.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	6.4%	(/.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))))
▶	6.4%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	6.4%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	10.0%	(+.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))))
	6.4%	(+.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))))))
▶	10.1%	(+.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))))
	6.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
▶	6.4%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	6.4%	(acos.f64 (-.f64 1 x))
	4.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	4.6%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	6.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	6.4%	(/.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))))
▶	6.4%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	6.4%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	10.0%	(+.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))))
	6.4%	(+.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))))))
▶	10.1%	(+.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))))
	6.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
▶	6.4%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	6.4%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 774 to 672 computations (13.2% saved)

localize1.9s (13%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	98.7%	(asin.f64 (-.f64 1 x))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	11.5%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	99.2%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	66.9%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	6.4%	(acos.f64 (-.f64 1 x))
✓	8.7%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(acos.f64 (-.f64 1 x))
✓	100.0%	(+.f64 1 (acos.f64 (-.f64 1 x)))
✓	8.7%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	6.4%	(acos.f64 (-.f64 1 x))
✓	98.7%	(asin.f64 (-.f64 1 x))
✓	98.6%	(sqrt.f64 (asin.f64 (-.f64 1 x)))
	6.4%	(acos.f64 (-.f64 1 x))
✓	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 168 to 131 computations (22% saved)

series11.0ms (0.1%)

Counts

11 → 80

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
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)
1.0ms	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))))
1.0ms	x	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`log1p-expm1-u`
733×	`expm1-log1p-u`
462×	`expm1-udef`
460×	`log1p-udef`
230×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	263
1	385	188
2	4839	188

Stop Event

1×	node limit

Counts

11 → 472

Calls

Call 1

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

582×	`associate-r`
538×	`fma-def`
500×	`associate-l`
306×	`distribute-lft-in`
260×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	517	584
1	1133	584
2	6412	584

Stop Event

1×

unsound

Counts

552 → 268

Calls

Call 1

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

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

eval662.0ms (4.5%)

Compiler: Compiled 32443 to 27544 computations (15.1% saved)

prune177.0ms (1.2%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1432	20	1452
Fresh	2	5	7
Picked	0	5	5
Done	0	1	1
Total	1434	31	1465

Accuracy

10.4%

Counts

1465 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	10.2%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	4.6%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.0%	(pow.f64 (pow.f64 (+.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)))) 3) 1/3)
▶	6.4%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
✓	6.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	6.4%	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
▶	6.4%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	10.1%	(-.f64 (+.f64 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))))) 1)
	6.4%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	6.4%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
	6.4%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	4.5%	(+.f64 (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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.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))))
	10.0%	(+.f64 (+.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)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.1%	(+.f64 (+.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)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
▶	6.4%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶	10.1%	(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	6.9%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	10.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	4.6%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.1%	(+.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))))
	6.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	6.4%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	6.4%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
	10.1%	(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
	6.4%	(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
✓	6.4%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	6.4%	(acos.f64 (-.f64 1 x))
	4.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	10.2%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	4.6%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	10.0%	(pow.f64 (pow.f64 (+.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)))) 3) 1/3)
▶	6.4%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
✓	6.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	6.4%	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
▶	6.4%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	10.1%	(-.f64 (+.f64 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))))) 1)
	6.4%	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	6.4%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
	6.4%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	4.5%	(+.f64 (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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.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))))
	10.0%	(+.f64 (+.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)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.1%	(+.f64 (+.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)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
▶	6.4%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶	10.1%	(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	6.9%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	10.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	4.6%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.1%	(+.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))))
	6.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	6.4%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	6.4%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
	10.1%	(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
	6.4%	(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
✓	6.4%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	6.4%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 2246 to 1954 computations (13% saved)

localize2.5s (17%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	98.6%	(sqrt.f64 (asin.f64 (-.f64 1 x)))
✓	8.6%	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	6.4%	(acos.f64 (-.f64 1 x))
	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
✓	99.2%	(pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3)
✓	66.9%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
✓	8.6%	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	6.4%	(acos.f64 (-.f64 1 x))
✓	99.9%	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)
✓	99.9%	(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
✓	8.7%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	6.4%	(acos.f64 (-.f64 1 x))
✓	8.9%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	6.4%	(acos.f64 (-.f64 1 x))
	98.7%	(asin.f64 (-.f64 1 x))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	11.5%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

Compiler

Compiled 272 to 221 computations (18.8% saved)

series81.0ms (0.5%)

Counts

10 → 108

Calls

27 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
19.0ms	x	@	inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
19.0ms	x	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
4.0ms	x	@	inf	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)

rewrite149.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`expm1-udef`
604×	`log1p-udef`
569×	`log1p-expm1-u`
304×	`associate-r`
217×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	269
1	533	167
2	6479	167

Stop Event

1×	node limit

Counts

10 → 496

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 0 (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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.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 (*.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 3 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3)
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (pow.f64 27 1/3))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
(*.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 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(*.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (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 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.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 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 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 3 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (.f64 1/3 (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)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 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 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 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 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.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 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) 1/6)
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.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 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.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))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.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 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.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 (*.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 3 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3)
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (pow.f64 27 1/3))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
(*.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 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(*.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (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 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.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 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 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 3 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (.f64 1/3 (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)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 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 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 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)))
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(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
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(.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(.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 (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) 3) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 1/3 (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))))
(.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) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(-.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 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)))))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(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))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))

simplify203.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

948×	`exp-prod`
900×	`cube-prod`
808×	`associate-r`
734×	`associate-l`
660×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	516	20730
1	1167	19036
2	5824	19036

Stop Event

1×	node limit

Counts

604 → 325

Calls

Call 1

Inputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x))))) 1)
(-.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x))))) 1)
(-.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x))))) 1)
(-.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x))))) 1)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x)))))
(.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x)))))
(.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x)))))
(.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (.f64 -1 x)))))
(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)))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(*.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) 3))
(.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)) 3))
(.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)) 3))
(.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)) 3))
(.f64 27 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)) 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 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 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 0 (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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.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 (*.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 3 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3)
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (pow.f64 27 1/3))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
(*.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 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(*.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (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 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.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 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))))
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(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(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))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 0 (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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.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 (*.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 3 (.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3)
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (pow.f64 27 1/3))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
(*.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 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) (.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(*.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (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 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.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 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 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 3 (sqrt.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (.f64 1/3 (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)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 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 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 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 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.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 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.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 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(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 (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 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (*.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))
(+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(-.f64 (+.f64 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 3 (.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 3 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(.f64 (pow.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 27)
(.f64 27 (pow.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(.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)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(.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 (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) 3) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 1/3 (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))))
(.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) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(-.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 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)))))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(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))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))

Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
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(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(.f64 3 (.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 3 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(.f64 (pow.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 27)
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(.f64 27 (pow.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(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)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(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))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(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)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(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)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(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))
(.f64 27 (.f64 1/27 (pow.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)))
(.f64 27 (.f64 1/27 (pow.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) 3) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(.f64 27 (.f64 1/27 (pow.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) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(.f64 27 (.f64 1/27 (pow.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) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 27 (.f64 1/27 (pow.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) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 27 (.f64 1/27 (pow.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) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(.f64 27 (.f64 1/27 (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))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(.f64 27 (.f64 1/27 (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)))))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(.f64 27 (.f64 1/27 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(-.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 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)
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.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 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 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)
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 2))
(fabs.f64 (*.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)
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)

eval872.0ms (5.9%)

Compiler: Compiled 41306 to 35867 computations (13.2% saved)

prune218.0ms (1.5%)

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	1628	15	1643
Fresh	9	11	20
Picked	1	4	5
Done	1	5	6
Total	1639	35	1674

Accuracy

10.4%

Counts

1674 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.2%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	6.4%	(pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3) 1/3)
	6.4%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) 3) 3) 1/3)
✓	6.4%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
✓	6.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	6.4%	(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
	6.3%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
▶	6.4%	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
	10.0%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))) 3) 1)
✓	6.4%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	10.1%	(-.f64 (+.f64 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))))) 1)
✓	6.4%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	6.4%	(-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3)) 1)
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
	6.4%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	4.5%	(+.f64 (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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.f64 (+.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)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	6.4%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	6.4%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.1%	(+.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
▶	10.1%	(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
▶	6.9%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	10.1%	(+.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))))
	6.4%	(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
	6.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	6.4%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	6.4%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	10.1%	(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
✓	6.4%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	6.4%	(acos.f64 (-.f64 1 x))
▶	10.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	10.2%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	6.4%	(pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3) 1/3)
	6.4%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) 3) 3) 1/3)
✓	6.4%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
✓	6.4%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	6.4%	(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
	6.3%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
▶	6.4%	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
	10.0%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))) 3) 1)
✓	6.4%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	10.1%	(-.f64 (+.f64 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))))) 1)
✓	6.4%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	6.4%	(-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3)) 1)
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
	6.4%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	4.5%	(+.f64 (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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.f64 (+.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)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	6.4%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	6.4%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	10.1%	(+.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
▶	10.1%	(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
▶	6.9%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	10.1%	(+.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))))
	6.4%	(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
	6.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	6.4%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	6.4%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	10.1%	(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
✓	6.4%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	6.4%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 2310 to 2040 computations (11.7% saved)

localize2.7s (17.9%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	98.5%	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 1/2))
	98.4%	(sqrt.f64 (PI.f64))
✓	11.5%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
✓	99.2%	(pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3)
✓	66.9%	(pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3) 1/3)
✓	8.5%	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
	6.4%	(acos.f64 (-.f64 1 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
✓	99.9%	(pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
✓	8.7%	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
	6.4%	(acos.f64 (-.f64 1 x))
✓	100.0%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	98.7%	(asin.f64 (-.f64 1 x))
✓	98.5%	(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
	8.6%	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	6.4%	(acos.f64 (-.f64 1 x))
✓	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))

Compiler

Compiled 325 to 268 computations (17.5% saved)

series65.0ms (0.4%)

Counts

11 → 124

Calls

33 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
15.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
13.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3) 1/3)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3) 1/3)

rewrite165.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`expm1-udef`
644×	`log1p-udef`
360×	`associate-r`
256×	`associate-l`
244×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	280
1	648	201
2	7387	201

Stop Event

1×	node limit

Counts

11 → 571

Calls

Call 1

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

Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(.f64 1/3 (.f64 (acos.f64 (-.f64 1 x)) 3))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (pow.f64 27 1/3))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (cbrt.f64 27))
(.f64 3 (.f64 (acos.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 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 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) (.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
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(/.f64 (.f64 3 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) -1)) (+.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -1) 3) (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (+.f64 1 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) -1) 3) (+.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) 1/6)
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
856×	`associate-l`
854×	`fma-def`
494×	`times-frac`
344×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	605	695
1	1337	695

Stop Event

1×	node limit

Counts

695 → 308

Calls

Call 1

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

Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 1/2 (PI.f64)))
0
(+.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) (.f64 1/2 (PI.f64)))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (-.f64 1 x)))
0
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
0
(.f64 1/3 (acos.f64 (+.f64 1 (.f64 -1 x))))
0
(.f64 1/3 (acos.f64 (+.f64 1 (.f64 -1 x))))
0
(.f64 1/3 (acos.f64 (+.f64 1 (.f64 -1 x))))
0
(.f64 1/3 (acos.f64 (+.f64 1 (.f64 -1 x))))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
0
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
0
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
0
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (.f64 -1 x))))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
0
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0
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0
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
0
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
0
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
0
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
0
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(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
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(.f64 1/3 (.f64 (acos.f64 (-.f64 1 x)) 3))
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(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
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(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (pow.f64 27 1/3))
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(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (cbrt.f64 27))
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(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
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(.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3))
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(*.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))
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(.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)))))
0
(.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 3 (acos.f64 (-.f64 1 x))) 1/3)
0
(.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)) (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))
0
(.f64 (.f64 3 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))
0
(/.f64 1 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
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(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
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(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
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(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
0
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
0
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)))))
0
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)))
0
(/.f64 (.f64 3 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (+.f64 1 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
0
(/.f64 (.f64 3 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) -1)) (+.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
0
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -1) 3) (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (+.f64 1 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
0
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) -1) 3) (+.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
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0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) 1/6)
0
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
0
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0
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
0
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
0
(acos.f64 (-.f64 1 x))
0
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
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(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
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(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
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0
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
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(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
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(+.f64 0 (asin.f64 (-.f64 1 x)))
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(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
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(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
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(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
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0
(asin.f64 (-.f64 1 x))
0

eval661.0ms (4.5%)

Compiler: Compiled 32284 to 28088 computations (13% saved)

prune190.0ms (1.3%)

Pruning

33 alts after pruning (22 fresh and 11 done)

	Pruned	Kept	Total
New	1188	9	1197
Fresh	8	13	21
Picked	1	4	5
Done	2	7	9
Total	1199	33	1232

Accuracy

10.4%

Counts

1232 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2)))
✓	10.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
✓	10.2%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	6.4%	(pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 2) (cbrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) -1) 3) 3) 1/3)
✓	6.4%	(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
	6.4%	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) -1) 3) (+.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
	6.4%	(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
	6.4%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 3) 2) 1)
	6.3%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
✓	6.4%	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
	10.1%	(-.f64 (+.f64 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))))) 1)
✓	6.4%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
	6.4%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	10.0%	(+.f64 (+.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)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	6.4%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	6.4%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	6.4%	(+.f64 (.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -3)
	10.1%	(+.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	10.0%	(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
✓	10.1%	(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
	10.0%	(+.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
✓	6.9%	(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	10.1%	(+.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))))
	10.0%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	6.4%	(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (cbrt.f64 27))
	6.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	6.4%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	10.1%	(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
✓	6.4%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	6.4%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	6.4%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1669 to 1445 computations (13.4% saved)

regimes69.0ms (0.5%)

Counts

57 → 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 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -3)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (cbrt.f64 27))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 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 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) -1) 3) (+.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
(pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3) 1/3)
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 3) 2) 1)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) 3) 3) 1/3)
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3)) 1)
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.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)) (neg.f64 (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 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 (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))))) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))) 3) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 2) (cbrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) -1) 3) 3) 1/3)
(+.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))))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) 3) (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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (fma.f64 (neg.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.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)))))) (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 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))) 3) (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 (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))))
(pow.f64 (pow.f64 (+.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)))) 3) 1/3)
(+.f64 (+.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)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))

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

Calls

3 calls:

26.0ms	x
12.0ms	(acos.f64 (-.f64 1 x))
6.0ms	(-.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 1077 to 920 computations (14.6% saved)

regimes36.0ms (0.2%)

Counts

31 → 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 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -3)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (cbrt.f64 27))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 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 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) -1) 3) (+.f64 1 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
(pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3) 3) 1/3)
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) 3) 1/3)
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 3) 2) 1)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) 3) 3) 1/3)
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 3)) 1)

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

Calls

3 calls:

15.0ms	x
4.0ms	(acos.f64 (-.f64 1 x))
4.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
10.0%	1	`(acos.f64 (-.f64 1 x))`
10.0%	1	`(-.f64 1 x)`
10.0%	1	`x`

Compiler

Compiled 369 to 326 computations (11.7% saved)

regimes34.0ms (0.2%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
5.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
9.2%	2	`x`
9.2%	2	`(acos.f64 (-.f64 1 x))`
9.2%	2	`(-.f64 1 x)`

Compiler

Compiled 204 to 178 computations (12.7% saved)

regimes32.0ms (0.2%)

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.1%	2	`(-.f64 1 x)`
9.1%	2	`(acos.f64 (-.f64 1 x))`
9.1%	2	`x`

Compiler

Compiled 185 to 162 computations (12.4% saved)

regimes30.0ms (0.2%)

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.1%	2	`(acos.f64 (-.f64 1 x))`
9.1%	2	`(-.f64 1 x)`
9.1%	2	`x`

Compiler

Compiled 176 to 154 computations (12.5% saved)

regimes20.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (.f64 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -3)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 1/3 (acos.f64 (-.f64 1 x))) (cbrt.f64 27))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (cbrt.f64 27))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.1%	2	`(-.f64 1 x)`
9.1%	2	`(acos.f64 (-.f64 1 x))`
9.1%	2	`x`

Compiler

Compiled 84 to 71 computations (15.5% saved)

regimes16.0ms (0.1%)

Counts

5 → 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 (+.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3) -3)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.1%	2	`(acos.f64 (-.f64 1 x))`
9.1%	2	`(-.f64 1 x)`
9.1%	2	`x`

Compiler

Compiled 52 to 44 computations (15.4% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
6.4%	1	`(acos.f64 (-.f64 1 x))`
6.4%	1	`(-.f64 1 x)`
6.4%	1	`x`

Compiler

Compiled 44 to 37 computations (15.9% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8305154596191793e-17	5.0257926153307413e-8

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 198 to 178 computations (10.1% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8305154596191793e-17	5.0257926153307413e-8

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 198 to 178 computations (10.1% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8305154596191793e-17	5.0257926153307413e-8

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 180 to 160 computations (11.1% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8305154596191793e-17	5.0257926153307413e-8

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 189 to 169 computations (10.6% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8305154596191793e-17	5.0257926153307413e-8

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 153 to 133 computations (13.1% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
12×	`+-commutative`
10×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	436
1	61	436
2	68	436
3	71	436
4	72	436

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 135 to 115 computations (14.8% saved)

soundness1.3s (9%)

Rules

1042×	`fma-def`
1042×	`fma-def`
976×	`associate-r`
976×	`associate-r`
948×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	84	14
2	1015	14
0	28	263
1	385	188
2	4839	188
0	9	14
1	84	14
2	1015	14
0	28	263
1	385	188
2	4839	188
0	9	14
1	84	14
2	1015	14
0	156	1427
1	347	1360
2	978	1344
3	5040	1344
0	9	14
1	84	14
2	1015	14
0	35	269
1	533	167
2	6479	167
0	516	20730
1	1167	19036
2	5824	19036
0	9	14
1	84	14
2	1015	14
0	156	1427
1	347	1360
2	978	1344
3	5040	1344

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

Compiler

Compiled 722 to 601 computations (16.8% saved)

end0.0ms (0%)

preprocess112.0ms (0.8%)

Compiler: Compiled 282 to 226 computations (19.9% saved)

analyze0.0ms (0%)

sample1.8s (11.9%)

preprocess94.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize52.0ms (0.3%)

series0.0ms (0%)

rewrite135.0ms (0.9%)

simplify76.0ms (0.5%)

eval23.0ms (0.2%)

prune45.0ms (0.3%)

localize1.9s (13%)

series11.0ms (0.1%)

rewrite135.0ms (0.9%)

simplify77.0ms (0.5%)

eval662.0ms (4.5%)

prune177.0ms (1.2%)

localize2.5s (17%)

series81.0ms (0.5%)

rewrite149.0ms (1%)

simplify203.0ms (1.4%)

eval872.0ms (5.9%)

prune218.0ms (1.5%)

localize2.7s (17.9%)

series65.0ms (0.4%)

rewrite165.0ms (1.1%)

simplify92.0ms (0.6%)

eval661.0ms (4.5%)

prune190.0ms (1.3%)

regimes69.0ms (0.5%)

regimes36.0ms (0.2%)

regimes34.0ms (0.2%)

regimes32.0ms (0.2%)

regimes30.0ms (0.2%)

regimes20.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.3s (9%)

end0.0ms (0%)

preprocess112.0ms (0.8%)

Profiling