Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.9s (20.5%)

Results

1.1s	4134×	body	1024	valid
401.0ms	2036×	body	512	valid
200.0ms	1667×	body	256	valid
169.0ms	419×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	55	11
7	65	11
8	68	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	55	11
7	65	11
8	68	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

58.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`add-sqr-sqrt`
1478×	`*-un-lft-identity`
1376×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1790	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

938×	`*-commutative`
750×	`associate-/l*`
724×	`fma-def`
698×	`associate-r`
514×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	407
1	151	403
2	576	403
3	2246	403
4	5313	403

Stop Event

1×	node limit

Counts

25 → 27

Calls

Call 1

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

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

eval8.0ms (0.1%)

Compiler: Compiled 345 to 278 computations (19.4% saved)

prune9.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Error

58.6b

Counts

28 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	58.6b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	58.6b	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	58.6b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	58.6b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	58.6b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	58.6b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	58.6b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	58.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 207 to 174 computations (15.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
✓	0.1b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	1.9b	(asin.f64 (-.f64 1 x))
✓	5.2b	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))

Compiler

Compiled 82 to 62 computations (24.4% saved)

series4.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite116.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`associate-/l/`
380×	`add-sqr-sqrt`
372×	`associate-+l+`
370×	`pow1`
370×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	364	76
2	5320	76

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

Outputs
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2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (asin.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))))

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def`
806×	`associate-r`
636×	`associate-l`
588×	`+-commutative`
586×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	15395
1	1609	13891

Stop Event

1×	node limit

Counts

307 → 335

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (acos.f64 (-.f64 1 x)))
✓	5.3b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series0.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`associate-*r/`
956×	`associate-*l/`
790×	`*-commutative`
700×	`distribute-lft-in`
660×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	207	28
2	2904	28

Stop Event

1×	node limit

Counts

2 → 179

Calls

Call 1

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

Outputs

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((x pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)))))

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1566×	`associate-+r-`
1512×	`associate-+l-`
1054×	`+-commutative`
556×	`distribute-lft-in`
490×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	11091
1	1296	10547
2	5804	10547

Stop Event

1×	node limit

Counts

195 → 273

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.9b	(asin.f64 (-.f64 1 x))
✓	5.3b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`*-commutative`
870×	`associate-*r/`
650×	`associate-*l/`
544×	`distribute-lft-in`
532×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	256	11
2	3245	11

Stop Event

1×	node limit

Counts

1 → 109

Calls

Call 1

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

Outputs

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simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

842×	`associate-+r+`
774×	`associate-+l+`
756×	`unswap-sqr`
662×	`+-commutative`
508×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	7953
1	859	7425
2	4420	7251

Stop Event

1×	node limit

Counts

121 → 186

Calls

Call 1

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

Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))) (+.f64 (.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/64 (pow.f64 (PI.f64) 6) (fma.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(/.f64 (/.f64 (-.f64 (.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 1/64 (pow.f64 (PI.f64) 6))))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 1) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
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(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
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(/.f64 (/.f64 (.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
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(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
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(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
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(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (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 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.2b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`add-sqr-sqrt`
1616×	`*-un-lft-identity`
1502×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	176	11
2	1982	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1288×	`fma-def`
1158×	`distribute-lft-in`
914×	`distribute-rgt-in`
902×	`associate-r`
712×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	642
1	163	610
2	607	610
3	3005	566
4	7565	566

Stop Event

1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (acos.f64 (-.f64 1 x)))
✓	0.1b	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 23 to 18 computations (21.7% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms	x	@	-inf	(sqrt.f64 (acos.f64 (-.f64 1 x)))
0.0ms	x	@	0	(sqrt.f64 (acos.f64 (-.f64 1 x)))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`add-sqr-sqrt`
1738×	`*-un-lft-identity`
1620×	`add-cube-cbrt`
1608×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	209	26
2	2210	26

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1060×	`+-commutative`
1028×	`fma-def`
880×	`associate-+r+`
766×	`associate-+l+`
702×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	972
1	230	968
2	806	968
3	3089	924
4	7575	924

Stop Event

1×	node limit

Counts

62 → 57

Calls

Call 1

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

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

eval544.0ms (5.8%)

Compiler: Compiled 31310 to 26035 computations (16.8% saved)

prune213.0ms (2.3%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1075	30	1105
Fresh	2	0	2
Picked	1	0	1
Done	1	4	5
Total	1079	34	1113

Error

56.1b

Counts

1113 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	58.7b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	59.8b	(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))))
	59.7b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	58.6b	(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
	58.6b	(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
▶	56.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.3b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	56.3b	(/.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.3b	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.3b	(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) 0)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	58.6b	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
▶	58.6b	(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
	58.7b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	58.6b	(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	58.7b	(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 1)
	58.6b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	58.6b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	58.6b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	56.3b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	56.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	56.4b	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	58.6b	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	58.6b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	58.6b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
▶	56.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
▶	58.6b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	58.6b	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
	58.6b	(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
	58.6b	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	58.6b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓	58.6b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	58.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1208 to 1066 computations (11.8% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
✓	1.6b	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
	1.9b	(asin.f64 (-.f64 1 x))
✓	55.7b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

Compiler

Compiled 113 to 92 computations (18.6% saved)

series6.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`associate-*r/`
578×	`distribute-lft-in`
518×	`associate-*l/`
448×	`add-sqr-sqrt`
432×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	99
1	469	71
2	5406	71

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (-.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3))) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3)) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3))) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3)) 1) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (pow.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) 1) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/4) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (PI.f64)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (PI.f64))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (/.f64 2 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 4)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/16) (cbrt.f64 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 1/4)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 4) 1/3) (pow.f64 1/16 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (PI.f64)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (PI.f64))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (/.f64 2 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/2) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))))

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1706×	`distribute-lft-in`
1302×	`associate-*r/`
1120×	`associate-*l/`
924×	`associate-/l/`
870×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	8589939682
1	664	4294972274
2	3423	4294972250

Stop Event

1×	node limit

Counts

134 → 169

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 2))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 0 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 0 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (-.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(-.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) 1)
(-.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(.f64 1 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(.f64 (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(.f64 (/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 3))) (-.f64 (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 3)) (-.f64 (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 1 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 3))) (-.f64 (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 3)) 1) (-.f64 (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(/.f64 (/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 1)
(.f64 (.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) 1)
(.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 1/4 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(.f64 1 (.f64 1/16 (pow.f64 (PI.f64) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8)) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(*.f64 1/16 (pow.f64 (PI.f64) 4))
(*.f64 (pow.f64 (PI.f64) 4) 1/16)
(.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (*.f64 (PI.f64) 1/2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8)) 1) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8)))) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/4) (pow.f64 (PI.f64) 2))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2)) 1/4)
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 4) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 2 (PI.f64)))
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (PI.f64)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) 1) (/.f64 2 (PI.f64)))
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (neg.f64 (PI.f64))) -2)
(/.f64 (.f64 (PI.f64) (pow.f64 (.f64 (PI.f64) 1/2) 3)) 2)
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (PI.f64) 1/2) 3)) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (.f64 (PI.f64) 1/2) 3)) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 (.f64 (PI.f64) 1/2) 3)) -2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 4)) 1/16))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(exp.f64 (.f64 4 (log.f64 (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))) 1)
(.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(.f64 1 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))))
(.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2))
(.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 1/16) (cbrt.f64 (pow.f64 (PI.f64) 4)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 1/16))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8))) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 1/4)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 8)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 4) 1/3) (pow.f64 1/16 1/3))
(/.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (/.f64 2 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (PI.f64)) 2)
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 1) (/.f64 2 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (PI.f64))) -2)
(/.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 (PI.f64) 1/2))) 2)
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2))) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) 1/2))) -2)
(pow.f64 (*.f64 (PI.f64) 1/2) 4/3)
(pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)
(pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))

Outputs
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 1 (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 1 (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 1 (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 1 (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
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(pow.f64 (*.f64 (PI.f64) 1/2) 4/3)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (pow.f64 (.f64 (PI.f64) 1/2) 1/3)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3)))
(pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1/3)
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 2/3)
(.f64 (pow.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/3))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 3)
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1/3))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)))) 1))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.1b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`associate-*r/`
986×	`associate-*l/`
834×	`*-commutative`
654×	`distribute-lft-in`
612×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	225	11
2	2974	11

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 3) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 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(log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)))))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`associate-/l/`
942×	`associate-/r/`
928×	`*-commutative`
572×	`unswap-sqr`
522×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	266	5144
1	733	4954
2	3209	4954

Stop Event

1×	node limit

Counts

112 → 148

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
✓	0.1b	(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))
✓	4.9b	(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 80 to 67 computations (16.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
1.0ms	x	@	inf	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
0.0ms	x	@	0	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
0.0ms	x	@	inf	(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	0	(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))

rewrite106.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-/r*`
1080×	`associate-/l*`
380×	`+-commutative`
360×	`add-sqr-sqrt`
350×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	151
1	345	143
2	4783	143

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2)) (/.f64 1 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (/.f64 1 (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 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x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2)))) (/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 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simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-+l+`
1046×	`associate-+r+`
628×	`+-commutative`
544×	`associate--r+`
520×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	15885
1	1100	15615
2	4793	15599

Stop Event

1×	node limit

Counts

219 → 259

Calls

Call 1

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

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

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
✓	0.1b	(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)
✓	5.0b	(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 97 to 83 computations (14.4% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
1.0ms	x	@	inf	(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
1.0ms	x	@	0	(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
1.0ms	x	@	0	(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
1.0ms	x	@	inf	(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`associate-/r*`
470×	`associate-+l+`
408×	`+-commutative`
404×	`add-sqr-sqrt`
390×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	131
1	398	127
2	5434	127

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

Inputs

(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))

(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)

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

Outputs

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3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)) (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 9)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change 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((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 3) (pow.f64 (fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2) 1))))))))

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1570×	`unswap-sqr`
1000×	`associate-/l/`
660×	`associate--r+`
558×	`associate-/r/`
432×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	8665
1	815	8533
2	3884	8531

Stop Event

1×	node limit

Counts

151 → 164

Calls

Call 1

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

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
	1.9b	(asin.f64 (-.f64 1 x))
	8.2b	(acos.f64 (-.f64 1 x))
✓	58.6b	(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)))

Compiler

Compiled 74 to 60 computations (18.9% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(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)))
2.0ms	x	@	0	(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)))
2.0ms	x	@	-inf	(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)))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`*-commutative`
660×	`unswap-sqr`
538×	`swap-sqr`
460×	`associate-*r/`
414×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	268	48
2	3217	38

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

Inputs
(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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)

Outputs

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2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (-.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (+.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (-.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 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simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1008×	`fma-def`
970×	`associate-/r*`
878×	`unswap-sqr`
838×	`distribute-lft-in`
740×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3859
1	741	2603
2	2288	2521

Stop Event

1×	node limit

Counts

139 → 138

Calls

Call 1

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

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

eval795.0ms (8.5%)

Compiler: Compiled 44753 to 38356 computations (14.3% saved)

prune578.0ms (6.2%)

Pruning

45 alts after pruning (38 fresh and 7 done)

	Pruned	Kept	Total
New	1306	18	1324
Fresh	5	20	25
Picked	0	1	1
Done	2	6	8
Total	1313	45	1358

Error

56.1b

Counts

1358 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	58.6b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	58.7b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	59.8b	(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))))
	59.7b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	58.6b	(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
	58.6b	(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
	59.7b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 4) 3)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	56.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.3b	(/.f64 (-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	56.3b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	58.6b	(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
	58.6b	(/.f64 (+.f64 1 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (-.f64 2 (acos.f64 (-.f64 1 x))))
	58.6b	(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
	58.7b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	58.6b	(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
	58.6b	(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	58.7b	(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 1)
▶	58.6b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	58.6b	(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
	58.6b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	58.6b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	56.3b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	56.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	56.4b	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	58.6b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	58.6b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
	56.3b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.3b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (acos.f64 (-.f64 1 x)))
✓	56.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.3b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	59.8b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
▶	58.6b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
	58.6b	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	58.6b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	59.4b	(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
▶	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
▶	58.6b	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
	58.6b	(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
	58.6b	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	58.6b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓	58.6b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	58.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1673 to 1466 computations (12.4% saved)

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(pow.f64 (asin.f64 (-.f64 1 x)) 4)
	1.9b	(asin.f64 (-.f64 1 x))
	8.2b	(acos.f64 (-.f64 1 x))
✓	55.7b	(-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4))

Compiler

Compiled 144 to 114 computations (20.8% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
0.0ms	x	@	inf	(-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
0.0ms	x	@	-inf	(-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
0.0ms	x	@	0	(pow.f64 (asin.f64 (-.f64 1 x)) 4)
0.0ms	x	@	-inf	(pow.f64 (asin.f64 (-.f64 1 x)) 4)

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`associate-*r/`
722×	`distribute-rgt-in`
702×	`associate-*l/`
660×	`distribute-lft-in`
354×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	366	54
2	4377	54

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

Inputs
(-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1)))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))))

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1598×	`associate-*r/`
1294×	`associate-+r+`
1228×	`associate-+l+`
742×	`+-commutative`
552×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	11934
1	964	11120
2	4461	11048

Stop Event

1×	node limit

Counts

146 → 194

Calls

Call 1

Inputs
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1))
(+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1)))
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) 1))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
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(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)))) (neg.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
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(/.f64 (.f64 (-.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) 1) (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (sqrt.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (sqrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (sqrt.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (sqrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 2)) (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (pow.f64 (cbrt.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 2)) (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 1/256 (pow.f64 (PI.f64) 8))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8) (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (/.f64 1 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8) 3)) (/.f64 1 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (+.f64 (.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 1/256 (pow.f64 (PI.f64) 8))) (+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (/.f64 1 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (+.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 3)) (/.f64 1 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (+.f64 (.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3))) (+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) 1) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(/.f64 (/.f64 (-.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (sqrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (sqrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (/.f64 (-.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (/.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(/.f64 (/.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (sqrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (sqrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(/.f64 (/.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(fma.f64 1/16 (pow.f64 (PI.f64) 4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 1 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 (cbrt.f64 (.f64 1/256 (pow.f64 (PI.f64) 8))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(exp.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))

Outputs
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
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(/.f64 (-.f64 (.f64 1/68719476736 (pow.f64 (pow.f64 (pow.f64 (PI.f64) 4) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 3)) (.f64 (fma.f64 1/256 (pow.f64 (PI.f64) 8) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (+.f64 (.f64 1/16777216 (.f64 (pow.f64 (pow.f64 (PI.f64) 4) 3) (pow.f64 (pow.f64 (PI.f64) 4) 3))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))
(/.f64 (-.f64 (.f64 1/68719476736 (pow.f64 (pow.f64 (pow.f64 (PI.f64) 4) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 3)) (.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 1/256 (pow.f64 (PI.f64) 8))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 1/16777216 (pow.f64 (pow.f64 (PI.f64) 8) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) 1) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(/.f64 (-.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(/.f64 (/.f64 (-.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (sqrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (sqrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (-.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(/.f64 (/.f64 (-.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (cbrt.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (-.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(/.f64 (/.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (fma.f64 1/256 (pow.f64 (PI.f64) 8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 1/256 (pow.f64 (PI.f64) 8))))
(/.f64 (/.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (sqrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (sqrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (fma.f64 1/256 (pow.f64 (PI.f64) 8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 1/256 (pow.f64 (PI.f64) 8))))
(/.f64 (/.f64 (-.f64 (.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (fma.f64 1/256 (pow.f64 (PI.f64) 8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 1/256 (pow.f64 (PI.f64) 8))))
(pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1)
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 2)
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 3)
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 3) 1/3)
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 2))
(fabs.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(log.f64 (exp.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 3))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(exp.f64 (log.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(fma.f64 1/16 (pow.f64 (PI.f64) 4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(fma.f64 1 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(fma.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(fma.f64 (cbrt.f64 (.f64 1/256 (pow.f64 (PI.f64) 8))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (.f64 (cbrt.f64 (.f64 1/256 (pow.f64 (PI.f64) 8))) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 8)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))
(fabs.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(exp.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(exp.f64 (.f64 (.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
✓	5.3b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 35 to 29 computations (17.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
0.0ms	x	@	-inf	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
0.0ms	x	@	inf	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
0.0ms	x	@	0	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`*-commutative`
906×	`distribute-lft-in`
804×	`distribute-rgt-in`
470×	`associate-/r*`
372×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	260	28
2	3582	28

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

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(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)))))

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1226×	`associate--r-`
1132×	`associate-/r/`
796×	`distribute-lft-in`
762×	`associate--l-`
718×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	425	8731
1	1231	8439
2	6156	8439

Stop Event

1×	node limit

Counts

195 → 254

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
✓	0.1b	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
✓	4.9b	(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
	8.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 70 to 60 computations (14.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
0.0ms	x	@	inf	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
0.0ms	x	@	0	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
0.0ms	x	@	0	(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
0.0ms	x	@	-inf	(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))

rewrite114.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`associate-/r*`
718×	`associate-/l*`
710×	`associate-/r/`
372×	`add-sqr-sqrt`
358×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	103
1	367	103
2	4773	103

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))) (/.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 4) (-.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 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simplify142.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-/l*`
1056×	`associate-/l/`
848×	`times-frac`
746×	`associate-/r*`
734×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	656	24550
1	1864	23948

Stop Event

1×	node limit

Counts

296 → 417

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (asin.f64 (-.f64 1 x)))
	1.9b	(asin.f64 (-.f64 1 x))
	8.2b	(acos.f64 (-.f64 1 x))
✓	53.1b	(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))

Compiler

Compiled 62 to 50 computations (19.4% saved)

series221.0ms (2.4%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
93.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
70.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
57.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
0.0ms	x	@	0	(+.f64 1 (asin.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(+.f64 1 (asin.f64 (-.f64 1 x)))

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`associate-*r/`
850×	`*-commutative`
704×	`associate-*l/`
692×	`distribute-lft-in`
658×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	250	18
2	3138	18

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(+.f64 1 (asin.f64 (-.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 1 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1) (neg.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (asin.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1214×	`times-frac`
1130×	`distribute-lft-in`
1062×	`associate-/l*`
980×	`distribute-rgt-in`
852×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	4325
1	560	4225
2	2047	4197

Stop Event

1×	node limit

Counts

91 → 113

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
	1.9b	(asin.f64 (-.f64 1 x))
	8.2b	(acos.f64 (-.f64 1 x))
	58.6b	(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)))

Compiler

Compiled 96 to 79 computations (17.7% saved)

eval1.1s (11.3%)

Compiler: Compiled 59388 to 51128 computations (13.9% saved)

prune433.0ms (4.6%)

Pruning

65 alts after pruning (56 fresh and 9 done)

	Pruned	Kept	Total
New	1569	31	1600
Fresh	8	25	33
Picked	0	1	1
Done	3	8	11
Total	1580	65	1645

Error

56.1b

Counts

1645 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	56.4b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
	58.6b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	59.8b	(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))))
	56.3b	(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
	59.7b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	58.6b	(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
	58.6b	(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
	56.3b	(/.f64 (fma.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	59.7b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 4) 3)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	56.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.3b	(/.f64 (fma.f64 (cbrt.f64 (.f64 1/256 (pow.f64 (PI.f64) 8))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	58.6b	(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
	56.3b	(/.f64 (-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.3b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2))))
✓	56.3b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	58.6b	(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 8 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
	58.6b	(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
	56.4b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
	58.7b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	58.6b	(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
	58.6b	(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
	58.6b	(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)))) 1)
	58.6b	(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
	58.6b	(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
	58.6b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	58.6b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	56.3b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	56.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	56.4b	(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓	58.6b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	58.6b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
	56.3b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.3b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (acos.f64 (-.f64 1 x)))
	59.8b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.8b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
	59.8b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))))) (acos.f64 (-.f64 1 x)))
	58.7b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 1 (.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (acos.f64 (-.f64 1 x)))
✓	58.6b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
	58.6b	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
	58.6b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
✓	58.6b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	59.4b	(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (asin.f64 (-.f64 1 x)))))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x)))))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x)))))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
✓	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2)) (asin.f64 (-.f64 1 x)))))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (asin.f64 (-.f64 1 x)))))
	59.8b	(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))) (asin.f64 (-.f64 1 x)))))
	56.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (asin.f64 (-.f64 1 x)))))
	58.6b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))))
	58.6b	(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))))
	58.7b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)))
	58.6b	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	58.6b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓	58.6b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	58.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1535 to 1337 computations (12.9% saved)

regimes97.0ms (1%)

Counts

87 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (-.f64 2 (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))))) 2)
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 8 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(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 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 1 (.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (acos.f64 (-.f64 1 x)))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)))) 1)
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) 0)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 1 (asin.f64 (-.f64 1 x)))))) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))) (acos.f64 (-.f64 1 x)))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 4) 3)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2))))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2)) (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 (cbrt.f64 (.f64 1/256 (pow.f64 (PI.f64) 8))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 4))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))) (asin.f64 (-.f64 1 x)))))

Outputs

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

Calls

3 calls:

35.0ms	x
11.0ms	(-.f64 1 x)
7.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.3b	1	`x`
56.3b	1	`(acos.f64 (-.f64 1 x))`
56.3b	1	`(-.f64 1 x)`

Compiler

Compiled 1984 to 1692 computations (14.7% saved)

regimes73.0ms (0.8%)

Counts

71 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (-.f64 2 (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))))) 2)
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 8 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(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 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 1 (.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) (-.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (acos.f64 (-.f64 1 x)))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)))) 1)

Outputs
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (acos.f64 (-.f64 1 x)))

Calls

3 calls:

27.0ms	x
9.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.3b	1	`x`
56.3b	1	`(acos.f64 (-.f64 1 x))`
56.3b	1	`(-.f64 1 x)`

Compiler

Compiled 1359 to 1165 computations (14.3% saved)

regimes64.0ms (0.7%)

Counts

63 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (-.f64 2 (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))))) 2)
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 8 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(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 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 2) (asin.f64 (-.f64 1 x)))))

Outputs
(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))

Calls

3 calls:

25.0ms	x
8.0ms	(-.f64 1 x)
6.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.3b	1	`x`
56.3b	1	`(acos.f64 (-.f64 1 x))`
56.3b	1	`(-.f64 1 x)`

Compiler

Compiled 1106 to 949 computations (14.2% saved)

regimes52.0ms (0.6%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
7.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.3b	1	`x`
56.3b	1	`(acos.f64 (-.f64 1 x))`
56.3b	1	`(-.f64 1 x)`

Compiler

Compiled 852 to 733 computations (14% saved)

regimes52.0ms (0.6%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
7.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.3b	1	`x`
56.3b	1	`(acos.f64 (-.f64 1 x))`
56.3b	1	`(-.f64 1 x)`

Compiler

Compiled 803 to 692 computations (13.8% saved)

regimes28.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
56.4b	1	`x`
56.4b	1	`(acos.f64 (-.f64 1 x))`
56.4b	1	`(-.f64 1 x)`

Compiler

Compiled 356 to 310 computations (12.9% saved)

regimes41.0ms (0.4%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
7.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.9b	2	`x`
56.9b	2	`(acos.f64 (-.f64 1 x))`
56.9b	2	`(-.f64 1 x)`

Compiler

Compiled 345 to 301 computations (12.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999999999999999	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes37.0ms (0.4%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.9b	2	`x`
56.9b	2	`(acos.f64 (-.f64 1 x))`
56.9b	2	`(-.f64 1 x)`

Compiler

Compiled 315 to 276 computations (12.4% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
6.0ms	5.1741778826487717e-17	9.450856409965787e-17

Results

6.0ms

64×

body

256

valid

Compiler

Compiled 101 to 87 computations (13.9% saved)

regimes10.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
58.6b	1	`x`
58.6b	1	`(acos.f64 (-.f64 1 x))`
58.6b	1	`(-.f64 1 x)`

Compiler

Compiled 72 to 62 computations (13.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

6 → 1

Calls

Call 1

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

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

Error	Segments	Branch
58.6b	1	`x`
58.6b	1	`(acos.f64 (-.f64 1 x))`
58.6b	1	`(-.f64 1 x)`

Compiler

Compiled 64 to 55 computations (14.1% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	4294967804
1	87	4294967804
2	106	4294967804
3	118	4294967804
4	123	4294967804

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (-.f64 1 x) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))

Outputs
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (-.f64 1 x) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (asin.f64 (-.f64 1 x)))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (.f64 2 (asin.f64 (-.f64 1 x)))) (-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 197 to 170 computations (13.7% saved)

soundness0.0ms (0%)

end106.0ms (1.1%)

Compiler: Compiled 188 to 156 computations (17% saved)