Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample2.0s (20.5%)

Results

1.2s	4132×	body	1024	valid
358.0ms	2058×	body	512	valid
198.0ms	377×	body	2048	valid
166.0ms	1689×	body	256	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

58.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(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))

rewrite49.0ms (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))))))))

simplify54.0ms (0.6%)

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))

eval7.0ms (0.1%)

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

prune19.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	19	8	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	9	28

Error

58.3b

Counts

28 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.3b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	58.3b	(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
▶	58.3b	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶	58.3b	(/.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))))
▶	58.3b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	58.3b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	58.3b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	58.3b	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	58.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 173 to 148 computations (14.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	0.3b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	5.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1946×	`*-un-lft-identity`
1838×	`add-cube-cbrt`
1826×	`add-cbrt-cube`
202×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	245	28
2	2534	28

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-/l*`
806×	`fma-def`
704×	`+-commutative`
700×	`*-commutative`
638×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1028
1	245	1024
2	717	1024
3	2394	962
4	5662	962

Stop Event

1×	node limit

Counts

60 → 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)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(/.f64 (-.f64 (.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 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (acos.f64 (-.f64 1 x)))
✓	3.5b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	5.2b	(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	@	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 1 (acos.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)

rewrite87.0ms (0.9%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (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 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 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(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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 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simplify126.0ms (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))
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(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(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 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 0)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(-.f64 (/.f64 (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 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (+.f64 1 (/.f64 (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 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (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 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 1 (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 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.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 (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 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 1 (.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))) (+.f64 (-.f64 1 (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 1 (pow.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) 3))) (+.f64 1 (+.f64 (-.f64 (.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))) (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) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))
(/.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 1 (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)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (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)))) (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (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)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.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))
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(/.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 (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 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(*.f64 (/.f64 (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)))))) (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(/.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 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.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 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(*.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 (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 (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 (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 (neg.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1) (neg.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.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 (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 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 (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 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(*.f64 (/.f64 (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)))))) (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(/.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 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.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 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(*.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 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (acos.f64 (-.f64 1 x)))
✓	0.3b	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	5.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series46.0ms (0.5%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(log.f64 (acos.f64 (-.f64 1 x)))
15.0ms	x	@	inf	(log.f64 (acos.f64 (-.f64 1 x)))
9.0ms	x	@	-inf	(log.f64 (acos.f64 (-.f64 1 x)))
0.0ms	x	@	0	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0.0ms	x	@	-inf	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))

rewrite56.0ms (0.6%)

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	26
1	175	26
2	1981	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1242×	`fma-def`
774×	`associate-+r+`
660×	`*-commutative`
632×	`associate-+l+`
580×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1019
1	222	1015
2	951	1015
3	3390	971

Stop Event

1×	node limit

Counts

59 → 55

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f64 (acos.f64 (-.f64 1 x)))
✓	0.1b	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
	5.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 23 to 18 computations (21.7% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`add-sqr-sqrt`
1790×	`*-un-lft-identity`
1684×	`add-cube-cbrt`
1670×	`add-cbrt-cube`
180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	211	26
2	2283	26

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

892×	`associate-/l*`
732×	`*-commutative`
700×	`distribute-lft-in`
638×	`distribute-lft-neg-in`
632×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1542
1	252	1498
2	795	1498
3	2208	1482
4	5660	1482

Stop Event

1×	node limit

Counts

72 → 60

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.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))))
✓	0.1b	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
✓	1.2b	(asin.f64 (-.f64 1 x))
✓	3.5b	(-.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)

series5.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite127.0ms (1.3%)

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 (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))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (neg.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)) (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (neg.f64 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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))))))))

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def`
806×	`associate-r`
634×	`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 → 334

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

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

eval825.0ms (8.5%)

Compiler: Compiled 26523 to 22239 computations (16.2% saved)

prune190.0ms (2%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	953	26	979
Fresh	1	2	3
Picked	1	0	1
Done	0	5	5
Total	955	33	988

Error

55.9b

Counts

988 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	58.4b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	59.5b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	58.3b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	58.3b	(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
	58.3b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
✓	58.3b	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶	56.1b	(/.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))))
	56.2b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.1b	(/.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))))
	58.3b	(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (/.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
	58.3b	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	58.4b	(-.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1)
	58.4b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	58.4b	(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (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)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) 1)
	58.3b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	58.4b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	58.3b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	58.4b	(-.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) 1)
	58.3b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	56.1b	(+.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)))
▶	56.2b	(+.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)))
▶	58.3b	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
▶	58.3b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	56.2b	(+.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)))))
	56.2b	(+.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)))))
	56.2b	(+.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)))))
	58.4b	(.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)))))
	58.3b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
	58.3b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	58.3b	(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
▶	58.3b	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	58.3b	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	58.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1158 to 1013 computations (12.5% saved)

localize47.0ms (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))
	1.2b	(asin.f64 (-.f64 1 x))
✓	1.6b	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
✓	56.8b	(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

6.0ms

(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)))

rewrite91.0ms (0.9%)

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

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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)))))))))

simplify76.0ms (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))
(-.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))
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(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 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	3.4b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	5.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 25 to 20 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.8%)

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	34
1	225	28
2	2974	28

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

808×	`+-commutative`
792×	`associate-+l-`
754×	`associate-+r-`
728×	`associate--r+`
708×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	9428
1	1221	8964
2	5211	8958

Stop Event

1×	node limit

Counts

202 → 265

Calls

Call 1

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
✓	0.3b	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	3.5b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	5.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 43 to 36 computations (16.3% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`associate-*r/`
956×	`associate-*l/`
856×	`*-commutative`
732×	`distribute-lft-in`
688×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	236	26
2	3098	26

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate--r+`
1000×	`associate-+r-`
946×	`associate-+l-`
882×	`associate--l+`
794×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	352	7791
1	958	7621
2	4345	7621

Stop Event

1×	node limit

Counts

171 → 213

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (asin.f64 (-.f64 1 x)))
✓	0.1b	(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	1.2b	(asin.f64 (-.f64 1 x))
✓	56.7b	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)

Compiler

Compiled 48 to 38 computations (20.8% saved)

series47.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
10.0ms	x	@	inf	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
10.0ms	x	@	-inf	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
0.0ms	x	@	-inf	(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
0.0ms	x	@	0	(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-*r/`
1378×	`associate-*l/`
338×	`add-sqr-sqrt`
328×	`*-un-lft-identity`
326×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	323	43
2	4181	43

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

Inputs
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))

Outputs

((#(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 (acos.f64 (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(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 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (-.f64 0 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) 1) (+.f64 1 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (fma.f64 (PI.f64) 1/2 (+.f64 1 (asin.f64 (-.f64 1 x))))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (+.f64 1 (asin.f64 (-.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (+.f64 1 (asin.f64 (-.f64 1 x))))))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (+.f64 1 (asin.f64 (-.f64 1 x))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (fma.f64 (PI.f64) 1/2 (+.f64 1 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (+.f64 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simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate--r+`
1294×	`+-commutative`
928×	`associate-/r*`
902×	`associate--l-`
648×	`associate--r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	484	13543
1	1224	12829
2	5099	12411

Stop Event

1×	node limit

Counts

235 → 323

Calls

Call 1

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

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

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)
	1.2b	(asin.f64 (-.f64 1 x))
	5.2b	(acos.f64 (-.f64 1 x))
✓	58.5b	(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)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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)))
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)

rewrite68.0ms (0.7%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (-.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 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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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#<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 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simplify64.0ms (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))))
(+.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))))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.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 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (-.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.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)) 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 (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 2 (asin.f64 (-.f64 1 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)))))
(*.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 (.f64 (asin.f64 (-.f64 1 x)) 2) 1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (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 (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 (sqrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (*.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 (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 (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 (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 (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 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (+.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (-.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 0 (asin.f64 (-.f64 1 x)))
(.f64 -1 (.f64 (asin.f64 (-.f64 1 x)) 2))
(.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (+.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 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (-.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (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 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(.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 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (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 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))
(.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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)))) (.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (sqrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 3) 1/6))
(/.f64 (pow.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) 2) (.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (pow.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) 3) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) 2)))
(pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) 3)
(pow.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 3) 1/3)
(neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 2))
(log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 3))
(expm1.f64 (log1p.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(exp.f64 (log.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(log1p.f64 (expm1.f64 (*.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))) 0))
(+.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 0) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (-.f64 1 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 0)))
(*.f64 1 (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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (sqrt.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))
(.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (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) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))
(*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (neg.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))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (.f64 (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(.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))))
(.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
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(.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))))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(.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))))
(pow.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)))
(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)

eval853.0ms (8.8%)

Compiler: Compiled 46895 to 40232 computations (14.2% saved)

prune402.0ms (4.2%)

Pruning

47 alts after pruning (39 fresh and 8 done)

	Pruned	Kept	Total
New	1591	27	1618
Fresh	11	12	23
Picked	0	1	1
Done	2	7	9
Total	1604	47	1651

Error

55.9b

Counts

1651 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	59.5b	(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))))
✓	58.3b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	58.3b	(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
	58.3b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
✓	58.3b	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶	56.1b	(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	56.1b	(/.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))))
	56.2b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	56.1b	(/.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))))
	58.3b	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	58.4b	(-.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1)
	58.4b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	58.4b	(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (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)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) 1)
	58.3b	(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 1) (+.f64 1 (asin.f64 (-.f64 1 x))))
▶	58.3b	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
✓	58.3b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	58.3b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	59.5b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (-.f64 -1 (asin.f64 (-.f64 1 x)))) 1)
	56.1b	(+.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)))
	56.2b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.1b	(+.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)))
	56.2b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)) (acos.f64 (-.f64 1 x)))
	56.2b	(+.f64 (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))) (acos.f64 (-.f64 1 x)))
✓	56.2b	(+.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)))
	56.2b	(+.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)))
▶	56.1b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	58.3b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 3) 1)
	58.3b	(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	56.2b	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3))) 1)
	58.4b	(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (exp.f64 (.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))))))) 1)
	56.1b	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))) 1)
	56.2b	(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) (-.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))))))) 1)
	58.4b	(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) (-.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (neg.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2)))) 1)
	56.1b	(+.f64 (+.f64 (fma.f64 (neg.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 (acos.f64 (-.f64 1 x)) 1)) 1)
	56.2b	(+.f64 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) 1)
▶	58.3b	(+.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1) (acos.f64 (-.f64 1 x)))
	59.5b	(+.f64 (+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2) (+.f64 1 (asin.f64 (-.f64 1 x)))))) 1)
✓	58.3b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	58.3b	(+.f64 (log1p.f64 (expm1.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))) 1)
	58.3b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))) 1)
	59.4b	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
▶	58.3b	(+.f64 (cbrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 3)) 1)
	56.2b	(+.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)))))
	58.3b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	58.3b	(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
✓	58.3b	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	58.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1743 to 1531 computations (12.2% saved)

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
	1.2b	(asin.f64 (-.f64 1 x))
	1.6b	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
	56.8b	(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 132 to 109 computations (17.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (acos.f64 (-.f64 1 x)) 2)
✓	3.6b	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
	5.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`associate-*r/`
1020×	`associate-*l/`
866×	`*-commutative`
614×	`distribute-lft-in`
578×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	229	28
2	3039	28

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(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) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (-.f64 (neg.f64 (asin.f64 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2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) 1) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 64) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 512 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 64 (*.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) 1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule 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x)) 2))))) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (acos.f64 (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(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))) 2)))))

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/r/`
934×	`associate--r+`
818×	`+-commutative`
614×	`distribute-lft-in`
582×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	11663
1	1286	10709
2	5488	10689

Stop Event

1×	node limit

Counts

201 → 280

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 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (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)) -2) 0))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 2)
(+.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(+.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 (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 0 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (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 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (acos.f64 (-.f64 1 x)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (.f64 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) (pow.f64 (+.f64 4 (.f64 2 (+.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 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.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 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.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 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (/.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 64) (.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8)))
(/.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 16) (.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 64 (.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) 64) (.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 16) (*.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 1 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (.f64 1 (neg.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (neg.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) 1) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (.f64 (neg.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 16) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) 64) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 16) (*.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 64) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 64 (.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) 1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (*.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 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (.f64 (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))
(expm1.f64 (log.f64 (+.f64 3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(acos.f64 (-.f64 1 x))
(+.f64 2 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))
(acos.f64 (-.f64 1 x))
(+.f64 2 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 2)
(acos.f64 (-.f64 1 x))
(+.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(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 (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 0 (*.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 (.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 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (+.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 4)))
(/.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 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.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))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (+.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 4)))
(/.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 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.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))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 4)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.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 (fma.f64 (acos.f64 (-.f64 1 x)) 2 4))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (sqrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (sqrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 4 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))))) (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (/.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (cbrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (cbrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 4 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))))) (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) 1) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (neg.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -8 (neg.f64 (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 -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 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (sqrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (sqrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 4 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))))) (sqrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (/.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (cbrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (cbrt.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 4 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))))) (cbrt.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 16) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) -16) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) 64) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 16) (*.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) -64) (.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 16 (.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) -64) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (fma.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 16 (pow.f64 (acos.f64 (-.f64 1 x)) 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 64) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2)))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) -64) (.f64 (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -8)))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) -64) (.f64 (+.f64 4 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 -8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 64 (.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (/.f64 (+.f64 512 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (+.f64 64 (.f64 -8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (.f64 (+.f64 4 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (-.f64 64 (-.f64 (*.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) 1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (*.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.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 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.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 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (.f64 (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))) (cbrt.f64 (-.f64 (+.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.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))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))
(fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(expm1.f64 (log.f64 (+.f64 3 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 1 (acos.f64 (-.f64 1 x)) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 2)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 3))
✓	0.1b	(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 3)
✓	3.4b	(+.f64 (cbrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 3)) 1)
	5.2b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 45 to 38 computations (15.6% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`associate-*r/`
1022×	`associate-*l/`
880×	`*-commutative`
616×	`distribute-lft-in`
310×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	273	51
2	3338	51

Stop Event

1×	node limit

Counts

3 → 284

Calls

Call 1

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

Outputs

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-/l*`
1024×	`associate-r`
1014×	`associate-l`
952×	`distribute-lft-in`
818×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	19970
1	1831	18832

Stop Event

1×	node limit

Counts

312 → 447

Calls

Call 1

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	1.2b	(asin.f64 (-.f64 1 x))
	5.2b	(acos.f64 (-.f64 1 x))
✓	58.2b	(+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)

Compiler

Compiled 67 to 54 computations (19.4% saved)

series143.0ms (1.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
81.0ms	x	@	0	(+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
32.0ms	x	@	-inf	(+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
30.0ms	x	@	inf	(+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
0.0ms	x	@	0	(-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
0.0ms	x	@	inf	(-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`associate-*r/`
1052×	`*-commutative`
1018×	`associate-*l/`
784×	`distribute-lft-in`
322×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	76
1	244	60
2	3322	60

Stop Event

1×	node limit

Counts

2 → 212

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (+.f64 1 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (-.f64 1 (-.f64 0 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (-.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (asin.f64 (-.f64 1 x)) (-.f64 -1 (asin.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2))) (-.f64 1 (-.f64 -1 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (+.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (-.f64 -1 (asin.f64 (-.f64 1 x)))) 2) (-.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (-.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x))))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 2) (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x))))))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 2) (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 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simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

158×	`+-commutative`
132×	`*-commutative`
124×	`sub-neg`
92×	`associate-/l*`
64×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	9706
1	2240	9706

Stop Event

1×

unsound

Counts

236 → 271

Calls

Call 1

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

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

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(cbrt.f64 (asin.f64 (-.f64 1 x)))
	1.2b	(asin.f64 (-.f64 1 x))
	5.2b	(acos.f64 (-.f64 1 x))
✓	58.6b	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 80 to 65 computations (18.8% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
2.0ms	x	@	inf	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
1.0ms	x	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
0.0ms	x	@	0	(cbrt.f64 (asin.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(cbrt.f64 (asin.f64 (-.f64 1 x)))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`*-commutative`
684×	`unswap-sqr`
572×	`swap-sqr`
472×	`associate-*r/`
444×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	284	42
2	3433	32

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(cbrt.f64 (asin.f64 (-.f64 1 x)))

Outputs

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

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-*r/`
1196×	`associate-/l/`
1096×	`associate-*l/`
904×	`associate-/r/`
892×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	298	4278
1	861	3598
2	2767	3598

Stop Event

1×	node limit

Counts

166 → 187

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

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

eval1.1s (10.9%)

Compiler: Compiled 57676 to 49655 computations (13.9% saved)

prune478.0ms (4.9%)

Pruning

56 alts after pruning (44 fresh and 12 done)

	Pruned	Kept	Total
New	1762	22	1784
Fresh	12	22	34
Picked	0	1	1
Done	1	11	12
Total	1775	56	1831

Error

55.9b

Counts

1831 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	56.2b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
	59.5b	(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))))
	56.1b	(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
✓	58.3b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	58.3b	(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
✓	58.3b	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
✓	56.1b	(/.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	56.1b	(/.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))))
	56.1b	(/.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))))
	58.3b	(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
	56.2b	(-.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 2)
	56.2b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 2)
	58.4b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	59.5b	(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (*.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))) 2)
	58.4b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) 2) 2)
	58.3b	(-.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 2)
✓	58.3b	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
✓	58.3b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	56.2b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 2)
	58.4b	(-.f64 (expm1.f64 (log.f64 (+.f64 3 (acos.f64 (-.f64 1 x))))) 2)
	58.4b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) 2)
	59.5b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (-.f64 -1 (asin.f64 (-.f64 1 x)))) 1)
	56.2b	(+.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	59.5b	(+.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	56.1b	(+.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)))
	56.2b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)) (acos.f64 (-.f64 1 x)))
	56.2b	(+.f64 (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))) (acos.f64 (-.f64 1 x)))
✓	56.2b	(+.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)))
	56.2b	(+.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)))
	56.1b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)) (acos.f64 (-.f64 1 x)))
✓	56.1b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	58.3b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 3) 1)
	58.3b	(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	56.2b	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3))) 1)
	58.4b	(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (exp.f64 (.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))))))) 1)
	56.1b	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))) 1)
	59.5b	(+.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
	58.4b	(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) (-.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (neg.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2)))) 1)
	58.3b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (-.f64 -1 (asin.f64 (-.f64 1 x))))) 3) 1) (acos.f64 (-.f64 1 x)))
	56.1b	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (+.f64 1 (asin.f64 (-.f64 1 x))) (+.f64 1 (.f64 2 (asin.f64 (-.f64 1 x))))))) 1) (acos.f64 (-.f64 1 x)))
	59.4b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1) (acos.f64 (-.f64 1 x)))
	56.2b	(+.f64 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) 1)
	56.1b	(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1) (acos.f64 (-.f64 1 x)))
	56.1b	(+.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))) 1) (acos.f64 (-.f64 1 x)))
	56.1b	(+.f64 (+.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) 1) (acos.f64 (-.f64 1 x)))
	59.5b	(+.f64 (+.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (-.f64 -1 (asin.f64 (-.f64 1 x)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2) (+.f64 1 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2) (+.f64 1 (asin.f64 (-.f64 1 x)))))) 1) (acos.f64 (-.f64 1 x)))
	59.5b	(+.f64 (+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (-.f64 1 x)))) 2) (+.f64 1 (asin.f64 (-.f64 1 x)))))) 1)
	59.0b	(+.f64 (+.f64 (expm1.f64 -6) 1) (acos.f64 (-.f64 1 x)))
✓	58.3b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	58.3b	(+.f64 (log1p.f64 (expm1.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))) 1)
✓	58.3b	(+.f64 (cbrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 3)) 1)
	56.2b	(+.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)))))
	58.3b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	58.3b	(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
✓	58.3b	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	58.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1139 to 999 computations (12.3% saved)

regimes90.0ms (0.9%)

Counts

84 → 1

Calls

Call 1

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

Calls

3 calls:

35.0ms	x
10.0ms	(-.f64 1 x)
6.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.1b	1	`x`
56.1b	1	`(acos.f64 (-.f64 1 x))`
56.1b	1	`(-.f64 1 x)`

Compiler

Compiled 1679 to 1439 computations (14.3% saved)

regimes78.0ms (0.8%)

Counts

77 → 1

Calls

Call 1

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

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:

32.0ms	x
9.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.1b	1	`x`
56.1b	1	`(acos.f64 (-.f64 1 x))`
56.1b	1	`(-.f64 1 x)`

Compiler

Compiled 1368 to 1176 computations (14% saved)

regimes76.0ms (0.8%)

Counts

75 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	x
11.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.1b	1	`x`
56.1b	1	`(acos.f64 (-.f64 1 x))`
56.1b	1	`(-.f64 1 x)`

Compiler

Compiled 1294 to 1112 computations (14.1% saved)

regimes57.0ms (0.6%)

Counts

59 → 1

Calls

Call 1

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

Outputs
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)

Calls

3 calls:

24.0ms	x
8.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.1b	1	`x`
56.1b	1	`(acos.f64 (-.f64 1 x))`
56.1b	1	`(-.f64 1 x)`

Compiler

Compiled 830 to 716 computations (13.7% saved)

regimes32.0ms (0.3%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
56.2b	1	`x`
56.2b	1	`(acos.f64 (-.f64 1 x))`
56.2b	1	`(-.f64 1 x)`

Compiler

Compiled 349 to 307 computations (12% saved)

regimes26.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.2b	1	`x`
56.2b	1	`(acos.f64 (-.f64 1 x))`
56.2b	1	`(-.f64 1 x)`

Compiler

Compiled 265 to 233 computations (12.1% saved)

regimes37.0ms (0.4%)

Counts

27 → 2

Calls

Call 1

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

Outputs
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (+.f64 (expm1.f64 -6) 1) (acos.f64 (-.f64 1 x)))

Calls

3 calls:

20.0ms	x
7.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
56.6b	2	`x`
56.6b	2	`(acos.f64 (-.f64 1 x))`
56.6b	2	`(-.f64 1 x)`

Compiler

Compiled 254 to 223 computations (12.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999999999999951	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (expm1.f64 -6) 1) (acos.f64 (-.f64 1 x)))

Calls

3 calls:

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

Results

Error	Segments	Branch
56.6b	2	`x`
56.6b	2	`(acos.f64 (-.f64 1 x))`
56.6b	2	`(-.f64 1 x)`

Compiler

Compiled 144 to 124 computations (13.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999999999999951	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes20.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) 2) 2)
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)

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

Calls

3 calls:

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

Results

Error	Segments	Branch
56.7b	2	`x`
56.7b	2	`(acos.f64 (-.f64 1 x))`
56.7b	2	`(-.f64 1 x)`

Compiler

Compiled 97 to 84 computations (13.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.884312124119404e-8

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes12.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) 2) 2)
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

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

Calls

3 calls:

5.0ms	x
2.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
58.3b	1	`x`
58.3b	1	`(acos.f64 (-.f64 1 x))`
58.3b	1	`(-.f64 1 x)`

Compiler

Compiled 88 to 76 computations (13.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-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 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) 2) 2)

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

Calls

3 calls:

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

Results

Error	Segments	Branch
58.3b	1	`x`
58.3b	1	`(acos.f64 (-.f64 1 x))`
58.3b	1	`(-.f64 1 x)`

Compiler

Compiled 68 to 58 computations (14.7% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative`
18×	`sub-neg`
12×	`*-commutative`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	682
1	92	682
2	103	682
3	109	682
4	113	682
5	115	682
6	116	682

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

Compiler

Compiled 236 to 208 computations (11.9% saved)

soundness0.0ms (0%)

end124.0ms (1.3%)

Compiler: Compiled 225 to 196 computations (12.9% saved)