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)

sample2.4s (25.6%)

Results

1.5s	4128×	body	1024	valid
393.0ms	2031×	body	512	valid
254.0ms	393×	body	2048	valid
229.0ms	1704×	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)

simplify14.0ms (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

59.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.7b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(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))))))))

simplify65.0ms (0.7%)

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)

prune8.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Error

59.7b

Counts

28 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.7b	(/.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))))))
▶	59.7b	(/.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))))
▶	59.7b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	59.7b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	59.7b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 173 to 144 computations (16.8% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.2b	(asin.f64 (-.f64 1 x))
✓	3.6b	(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))

Compiler

Compiled 117 to 85 computations (27.4% saved)

series3.0ms (0%)

Counts

4 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms	x	@	inf	(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms	x	@	-inf	(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0.0ms	x	@	0	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
0.0ms	x	@	-inf	(pow.f64 (asin.f64 (-.f64 1 x)) 3)

rewrite106.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`associate-*r/`
740×	`distribute-rgt-in`
720×	`associate-*l/`
690×	`distribute-lft-in`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	328	74
2	3935	74

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(pow.f64 (PI.f64) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))))

simplify154.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-+r+`
1070×	`associate-+l+`
940×	`associate-r`
820×	`fma-def`
804×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	15055
1	1394	13663
2	6873	13663

Stop Event

1×	node limit

Counts

233 → 272

Calls

Call 1

Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(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 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
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(*.f64 1 (asin.f64 (-.f64 1 x)))
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(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
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(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
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(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
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(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
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(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
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(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (acos.f64 (-.f64 1 x)))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.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))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
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(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
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(/.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(asin.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(asin.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (.f64 (PI.f64) 1/2)) (.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (neg.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (neg.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)) (.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(/.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (PI.f64) (.f64 1/2 (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (PI.f64) (.f64 1/2 (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (PI.f64) (.f64 1/2 (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (PI.f64) (.f64 1/2 (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.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)))
✓	3.9b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series0.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite79.0ms (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

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 273

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.2b	(asin.f64 (-.f64 1 x))
✓	3.9b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 109

Calls

Call 1

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

Outputs

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simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

121 → 186

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.9b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	0.1b	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
	1.2b	(asin.f64 (-.f64 1 x))
✓	3.7b	(-.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)

series3.0ms (0%)

Counts

3 → 36

Calls

9 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	@	-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	@	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	@	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))))

rewrite116.0ms (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	117
1	364	65
2	5320	65

Stop Event

1×	node limit

Counts

3 → 230

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))))

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

simplify157.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1692×	`associate--r+`
830×	`fma-def`
684×	`associate-r`
574×	`associate-l`
556×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	15064
1	1498	13624
2	7873	13580

Stop Event

1×	node limit

Counts

266 → 312

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

eval824.0ms (8.9%)

Compiler: Compiled 47018 to 38295 computations (18.6% saved)

prune294.0ms (3.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1321	27	1348
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	1323	31	1354

Error

57.2b

Counts

1354 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.7b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	60.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	59.7b	(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
	60.8b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	57.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.4b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (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))))))
	57.4b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.4b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	59.7b	(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
	57.4b	(/.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))))
	59.7b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	59.7b	(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	59.7b	(-.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	59.7b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
✓	59.7b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	57.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	57.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	59.7b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
	57.4b	(+.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)))
▶	57.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
▶	59.7b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	59.7b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	57.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
	57.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.7b	(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
▶	59.7b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	59.7b	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	59.7b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	59.7b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1092 to 950 computations (13% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
	1.2b	(asin.f64 (-.f64 1 x))
✓	1.6b	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
✓	57.7b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

Compiler

Compiled 113 to 92 computations (18.6% saved)

series6.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite79.0ms (0.9%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (-.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 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((#(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)))))))))

simplify73.0ms (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 2 expressions with local error:

New	Error	Program
✓	3.7b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

112 → 148

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	0.0b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓	4.1b	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 38 to 31 computations (18.4% saved)

series57.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
17.0ms	x	@	inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
11.0ms	x	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
5.0ms	x	@	inf	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
0.0ms	x	@	-inf	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`*-commutative`
586×	`unswap-sqr`
522×	`swap-sqr`
382×	`sqr-pow`
380×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	236	47
2	2779	47

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

536×	`associate-r`
418×	`associate-l`
350×	`fma-def`
244×	`distribute-lft-in`
242×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	3951
1	938	3951
2	4487	3951

Stop Event

1×

unsound

Counts

183 → 154

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (.f64 -1 x)))) 1/3)))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0)
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) -1)
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (.f64 1 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))
(+.f64 (.f64 1/3 (.f64 (PI.f64) 1/2)) (*.f64 1/3 (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (.f64 1/3 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (.f64 1/3 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (.f64 1/3 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) 1) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1) (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 1))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1/3) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1/3))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1/3) (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(+.f64 (.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) 1/3) (.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))) 1)
(.f64 1 (.f64 (acos.f64 (-.f64 1 x)) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) (cbrt.f64 (*.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))))
(.f64 (.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) 1/6))
(/.f64 (.f64 1/3 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (.f64 1/3 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1/3) (+.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)) 1/3) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 0 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(/.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (-.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))) (-.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (exp.f64 (log1p.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1))
(/.f64 (+.f64 0 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)) (+.f64 0 (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 0 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) 3) (pow.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3)) (+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (-.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3) (pow.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (-.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (*.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) 1/3)
(sqrt.f64 (*.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(+.f64 0 (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))) 1))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (exp.f64 (log1p.f64 (acos.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 0 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (+.f64 0 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) 0) (.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (+.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (.f64 1 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
(+.f64 (.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) 1) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) 3) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3))
(+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3) (.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (exp.f64 (log1p.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))) 1)
(/.f64 1 (/.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.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 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 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 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 0 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (-.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 (+.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (-.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) 3) (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)) (+.f64 (.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(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))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (.f64 (pow.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/6) (pow.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/6)))
(.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/6)))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/6) (pow.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/6)) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2))
(.f64 (pow.f64 (E.f64) (/.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3) 2)) (pow.f64 (E.f64) (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 2)))
(.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (/.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (/.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)))
(.f64 (pow.f64 (exp.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)) (pow.f64 (exp.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) (sqrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
✓	0.1b	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
✓	3.9b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 52 to 44 computations (15.4% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`*-commutative`
756×	`associate-*r/`
606×	`associate-*l/`
592×	`distribute-lft-in`
568×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	292	65
2	3432	57

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1242×	`distribute-lft-in`
1064×	`distribute-rgt-in`
630×	`associate-+l+`
578×	`unswap-sqr`
574×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	256	5099
1	585	4939
2	2084	4939

Stop Event

1×	node limit

Counts

149 → 156

Calls

Call 1

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

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
	1.2b	(asin.f64 (-.f64 1 x))
	5.8b	(acos.f64 (-.f64 1 x))
✓	58.4b	(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)

series6.0ms (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)

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify61.0ms (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
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(pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) 3)
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 3) 1/3)
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (asin.f64 (-.f64 1 x)) -2)
(sqrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 2))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) 3))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(expm1.f64 (log1p.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(exp.f64 (log.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(log1p.f64 (expm1.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.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))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(+.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 0) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(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)
(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))) (-.f64 1 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 0)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 1 (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))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1)
(neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.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 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.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))
(pow.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)))
(pow.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))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(.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))))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.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)))
(neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(neg.f64 (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)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(.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))
(pow.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))
(neg.f64 (pow.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))
(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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(.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 (sqrt.f64 (asin.f64 (-.f64 1 x))) (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))))))
(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)

eval578.0ms (6.3%)

Compiler: Compiled 30773 to 26212 computations (14.8% saved)

prune243.0ms (2.6%)

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	1101	20	1121
Fresh	8	14	22
Picked	0	1	1
Done	1	7	8
Total	1110	42	1152

Error

57.2b

Counts

1152 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	60.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	57.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	57.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.4b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (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))))))
▶	57.4b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.4b	(/.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))))
	57.4b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	59.7b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
▶	59.7b	(-.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
▶	59.7b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	59.7b	(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
✓	59.7b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	59.7b	(-.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)))))
	57.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	57.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	57.4b	(+.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)))
	57.4b	(+.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)))
✓	57.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	57.4b	(+.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)))
	57.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.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)))))) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	59.7b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
✓	59.7b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	59.6b	(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
	59.7b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	57.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.7b	(.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1) 3)
	59.7b	(.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) 1/3) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1/3)) 3)
	59.7b	(.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) 3)
▶	59.7b	(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)
	59.7b	(*.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)) 3)
	59.7b	(*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 3)
	59.7b	(*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)) 3)
	59.7b	(.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2))) 3)
	59.7b	(.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))) 3)
	59.7b	(.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
	59.7b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) 3)
✓	59.7b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	59.7b	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	59.7b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	59.7b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1489 to 1307 computations (12.2% saved)

localize53.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
	1.2b	(asin.f64 (-.f64 1 x))
	1.6b	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
	57.7b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

Compiler

Compiled 132 to 109 computations (17.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (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	11
1	211	11
2	2283	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1252×	`distribute-lft-in`
1204×	`distribute-rgt-in`
1040×	`associate-+r+`
888×	`associate-+l+`
802×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	908
1	193	864
2	570	864
3	2011	820
4	4105	820

Stop Event

1×	node limit

Counts

38 → 39

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
✓	3.9b	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 35 to 29 computations (17.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

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

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 254

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
✓	0.1b	(pow.f64 (acos.f64 (-.f64 1 x)) 2)
✓	3.9b	(-.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 64 to 54 computations (15.6% saved)

series5.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`associate-/r*`
1600×	`associate-/l*`
332×	`add-sqr-sqrt`
322×	`*-un-lft-identity`
320×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	113
1	323	57
2	4417	45

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

Inputs

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

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

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

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1528×	`associate-+r-`
1382×	`associate-+l-`
1258×	`associate--r+`
578×	`associate-r`
572×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	12216
1	1058	7676
2	5413	7676

Stop Event

1×	node limit

Counts

226 → 246

Calls

Call 1

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)
✓	0.1b	(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
✓	4.1b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2))
	5.8b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 56 to 48 computations (14.3% saved)

series112.0ms (1.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	x	@	-inf	(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2))
35.0ms	x	@	0	(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2))
21.0ms	x	@	inf	(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2))
0.0ms	x	@	-inf	(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)
0.0ms	x	@	0	(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`*-commutative`
718×	`unswap-sqr`
622×	`swap-sqr`
460×	`sqr-pow`
402×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	95
1	312	47
2	3558	47

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs

(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2))

(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)

(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)

Outputs

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

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`unswap-sqr`
1090×	`associate-/l*`
744×	`associate-/r*`
686×	`associate-+l+`
676×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	332	7028
1	779	4748
2	2694	4748

Stop Event

1×	node limit

Counts

176 → 179

Calls

Call 1

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

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

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (asin.f64 (-.f64 1 x)))
	1.0b	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
	1.2b	(asin.f64 (-.f64 1 x))
✓	57.8b	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))))

Compiler

Compiled 104 to 82 computations (21.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))))
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))))
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))))
0.0ms	x	@	-inf	(cbrt.f64 (asin.f64 (-.f64 1 x)))
0.0ms	x	@	0	(cbrt.f64 (asin.f64 (-.f64 1 x)))

rewrite101.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`associate-*r/`
904×	`associate-*l/`
864×	`distribute-lft-in`
354×	`add-sqr-sqrt`
338×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	377	52
2	4473	52

Stop Event

1×	node limit

Counts

2 → 179

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-+r+`
1012×	`associate-+l+`
770×	`+-commutative`
668×	`associate-+l-`
628×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	14035
1	1263	12311
2	5509	12275

Stop Event

1×	node limit

Counts

203 → 236

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

eval790.0ms (8.6%)

Compiler: Compiled 45078 to 38450 computations (14.7% saved)

prune335.0ms (3.6%)

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	1378	17	1395
Fresh	6	23	29
Picked	1	0	1
Done	4	8	12
Total	1389	48	1437

Error

57.2b

Counts

1437 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	57.4b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
	60.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	59.7b	(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) -1)
	57.4b	(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
✓	57.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
	57.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))))
✓	57.3b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.4b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (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))))))
	57.4b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	60.8b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 3) (asin.f64 (-.f64 1 x)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.4b	(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
	57.4b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
	59.7b	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
	59.7b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
	59.7b	(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (acos.f64 (-.f64 1 x)) 1)) (+.f64 1 (/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
	59.7b	(-.f64 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (-.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)) 1)
	59.7b	(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
	59.7b	(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
✓	59.7b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	57.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
	57.4b	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	59.7b	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	57.4b	(+.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)))
	57.4b	(+.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)))
	57.4b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.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)))))) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	59.7b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
	59.7b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
✓	59.7b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	59.6b	(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
	59.7b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	57.4b	(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	57.4b	(.f64 (fma.f64 (PI.f64) 1/6 (.f64 (asin.f64 (-.f64 1 x)) -1/3)) 3)
	59.7b	(.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1) 3)
	59.7b	(.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) 1/3) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1/3)) 3)
	59.7b	(.f64 (.f64 2 (log.f64 (exp.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x)))))) 3)
	59.7b	(*.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)) 3)
	59.7b	(.f64 (log.f64 (pow.f64 (exp.f64 (.f64 1/6 (acos.f64 (-.f64 1 x)))) 2)) 3)
	59.7b	(*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 3)
	59.7b	(*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)) 3)
	59.7b	(.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2))) 3)
	59.7b	(.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))))))) 3)
	59.7b	(.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
	59.7b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) 3)
✓	59.7b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	59.7b	(*.f64 6 (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))))
	59.7b	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	59.7b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	59.7b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 931 to 821 computations (11.8% saved)

regimes72.0ms (0.8%)

Counts

70 → 1

Calls

Call 1

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

Outputs

(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))))

Calls

3 calls:

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

Results

Error	Segments	Branch
57.3b	1	`x`
57.3b	1	`(acos.f64 (-.f64 1 x))`
57.3b	1	`(-.f64 1 x)`

Compiler

Compiled 1353 to 1156 computations (14.6% saved)

regimes67.0ms (0.7%)

Counts

67 → 1

Calls

Call 1

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

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:

26.0ms	x
8.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.3b	1	`x`
57.3b	1	`(acos.f64 (-.f64 1 x))`
57.3b	1	`(-.f64 1 x)`

Compiler

Compiled 1222 to 1042 computations (14.7% saved)

regimes64.0ms (0.7%)

Counts

65 → 1

Calls

Call 1

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

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:

25.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.3b	1	`x`
57.3b	1	`(acos.f64 (-.f64 1 x))`
57.3b	1	`(-.f64 1 x)`

Compiler

Compiled 1157 to 987 computations (14.7% saved)

regimes58.0ms (0.6%)

Counts

60 → 1

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (PI.f64) 1/6 (.f64 (asin.f64 (-.f64 1 x)) -1/3)) 3)

Calls

3 calls:

23.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.4b	1	`x`
57.4b	1	`(acos.f64 (-.f64 1 x))`
57.4b	1	`(-.f64 1 x)`

Compiler

Compiled 993 to 853 computations (14.1% saved)

regimes22.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
58.0b	2	`x`
58.0b	2	`(acos.f64 (-.f64 1 x))`
58.0b	2	`(-.f64 1 x)`

Compiler

Compiled 136 to 117 computations (14% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999999999999999	1.0

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes17.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
58.0b	2	`x`
58.0b	2	`(acos.f64 (-.f64 1 x))`
58.0b	2	`(-.f64 1 x)`

Compiler

Compiled 83 to 71 computations (14.5% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	3.1972660784145224e-19	7.778197991171665e-17

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 212 to 189 computations (10.8% saved)

regimes10.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
59.7b	1	`x`
59.7b	1	`(acos.f64 (-.f64 1 x))`
59.7b	1	`(-.f64 1 x)`

Compiler

Compiled 72 to 62 computations (13.9% saved)

regimes9.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
59.7b	1	`x`
59.7b	1	`(acos.f64 (-.f64 1 x))`
59.7b	1	`(-.f64 1 x)`

Compiler

Compiled 50 to 42 computations (16% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
59.7b	1	`x`
59.7b	1	`(acos.f64 (-.f64 1 x))`
59.7b	1	`(-.f64 1 x)`

Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative`
20×	`sub-neg`
18×	`*-commutative`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	634
1	90	634
2	104	634
3	112	634
4	117	634
5	118	634

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) (.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))))
(/.f64 (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 (PI.f64) 1/6 (.f64 (asin.f64 (-.f64 1 x)) -1/3)) 3)
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1)) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1))
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))

Outputs
(/.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) (.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))))
(/.f64 (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 (PI.f64) 1/6 (.f64 (asin.f64 (-.f64 1 x)) -1/3)) 3)
(.f64 3 (fma.f64 (PI.f64) 1/6 (.f64 (asin.f64 (-.f64 1 x)) -1/3)))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (+.f64 1 (.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1)) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (+.f64 (.f64 (PI.f64) 1/2) 1) (+.f64 (asin.f64 (-.f64 1 x)) 1)) (+.f64 (.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (+.f64 (.f64 (PI.f64) 1/2) 1) (+.f64 1 (asin.f64 (-.f64 1 x)))) (+.f64 (.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (+.f64 2 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) -1) -1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 -1 (+.f64 -1 (+.f64 2 (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(+.f64 (+.f64 (+.f64 2 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) -1) -1)
(+.f64 -1 (+.f64 -1 (+.f64 2 (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 216 to 190 computations (12% saved)

soundness0.0ms (0%)

end110.0ms (1.2%)

Compiler: Compiled 207 to 177 computations (14.5% saved)