Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample2.0s (16.6%)

Results

1.2s	4222×	body	1024	valid
364.0ms	1989×	body	512	valid
238.0ms	1628×	body	256	valid
168.0ms	417×	body	2048	valid

Bogosity

preprocess5.0ms (0%)

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)

simplify13.0ms (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

92.38%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	92.38%	(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
✓	7.57%	(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 (0.4%)

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))))))))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

25 → 27

Calls

Call 1

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

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

eval7.0ms (0.1%)

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

prune11.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Error

92.37%

Counts

28 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	92.38%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	92.39%	(/.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))))))
	92.39%	(/.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))))
▶	92.38%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	92.39%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	92.39%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	92.38%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	92.38%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	92.38%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 221 to 186 computations (15.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(log.f64 (acos.f64 (-.f64 1 x)))
✓	0.38%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series47.0ms (0.4%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (acos.f64 (-.f64 1 x)))
14.0ms	x	@	inf	(log.f64 (acos.f64 (-.f64 1 x)))
11.0ms	x	@	-inf	(log.f64 (acos.f64 (-.f64 1 x)))
0.0ms	x	@	0	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))

rewrite59.0ms (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	26
1	175	26
2	1981	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

59 → 55

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.98%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.6%)

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	23
1	207	11
2	2904	11

Stop Event

1×	node limit

Counts

1 → 98

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (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 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (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)))))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-/r*`
1202×	`associate-*r/`
972×	`*-commutative`
684×	`associate-*l/`
664×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	6144
1	753	5890
2	3561	5878

Stop Event

1×	node limit

Counts

110 → 153

Calls

Call 1

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

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 (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))))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.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 (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))))
(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 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(*.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))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.93%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	7.57%	(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 (0.4%)

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))))))))

simplify56.0ms (0.5%)

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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.14%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	0.48%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series5.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 57

Calls

Call 1

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

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

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.55%	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓	1.56%	(pow.f64 (PI.f64) 3)
✓	1.65%	(asin.f64 (-.f64 1 x))
✓	4.64%	(-.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	@	-inf	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
0.0ms	x	@	0	(pow.f64 (asin.f64 (-.f64 1 x)) 3)

rewrite100.0ms (0.8%)

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)))))))

simplify150.0ms (1.3%)

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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(.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))))
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(/.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))
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(/.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))))
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(/.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)))))
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(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)

eval425.0ms (3.6%)

Compiler: Compiled 25274 to 20380 computations (19.4% saved)

prune141.0ms (1.2%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	726	26	752
Fresh	1	2	3
Picked	1	0	1
Done	2	3	5
Total	730	31	761

Error

89.01%

Counts

761 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	92.39%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
▶	93.14%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) 1/3)
	89.16%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.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))))))
▶	89.15%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	92.38%	(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
	94.22%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 1/8)) 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))))))
	89.21%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
	89.19%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.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))))))
	89.16%	(/.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))))))
	94.23%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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))))))
	92.39%	(/.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))))
	94.2%	(/.f64 (-.f64 (.f64 (expm1.f64 (log1p.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))))))
	89.19%	(/.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 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))))))
	92.39%	(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
	92.38%	(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
▶	92.38%	(/.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))))
✓	92.38%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	92.39%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	92.38%	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
▶	92.38%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	92.38%	(+.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))))))
	92.41%	(*.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))))))
	92.38%	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	92.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	92.38%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	92.39%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	92.39%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	92.38%	(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
	92.39%	(exp.f64 (log.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)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
	92.38%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	92.38%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1389 to 1184 computations (14.8% saved)

localize95.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.45%	(pow.f64 (asin.f64 (-.f64 1 x)) 6)
✓	2.48%	(pow.f64 (PI.f64) 6)
✓	3.6%	(pow.f64 (asin.f64 (-.f64 1 x)) 12)
✓	4.21%	(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))

Compiler

Compiled 273 to 213 computations (22% saved)

series4.0ms (0%)

Counts

4 → 20

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
1.0ms	x	@	inf	(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
1.0ms	x	@	-inf	(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
0.0ms	x	@	0	(pow.f64 (asin.f64 (-.f64 1 x)) 6)
0.0ms	x	@	-inf	(pow.f64 (asin.f64 (-.f64 1 x)) 6)

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`associate-*r/`
706×	`associate-*l/`
686×	`distribute-lft-in`
386×	`add-sqr-sqrt`
372×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
1	394	80
2	4757	80

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(pow.f64 (PI.f64) 6)
(pow.f64 (asin.f64 (-.f64 1 x)) 6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (.f64 1 (.f64 (neg.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 12) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 12) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 36))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 6) (pow.f64 (sqrt.f64 (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 6) (pow.f64 (cbrt.f64 (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 6 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 6 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 6 (log.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 6 (log.f64 (asin.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))))

simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-+r+`
1426×	`associate-+l+`
818×	`+-commutative`
552×	`associate-r`
550×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	12420
1	1068	11690
2	5038	11606

Stop Event

1×	node limit

Counts

186 → 231

Calls

Call 1

Inputs
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 12))
(-.f64 (.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 12))
(-.f64 (.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 12))
(-.f64 (.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 12))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 12)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 12)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 12)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 12)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(+.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(+.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (+.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(+.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 1 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
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(/.f64 (.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) 1) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 3)) 1) (-.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) 1) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36))) 1) (neg.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36))) (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (sqrt.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 2)) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 2)) (cbrt.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (+.f64 (.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 36) (pow.f64 (asin.f64 (-.f64 1 x)) 36))) (/.f64 1 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (+.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 36) 3)) (/.f64 1 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3)) (+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 36) (pow.f64 (asin.f64 (-.f64 1 x)) 36)) (.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(/.f64 (/.f64 (-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(/.f64 (/.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36)) 1) (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36)) (sqrt.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (sqrt.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 36)) (.f64 (cbrt.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))) (cbrt.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))) (cbrt.f64 (+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(fma.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (PI.f64) 6) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(fma.f64 1/4096 (pow.f64 (PI.f64) 12) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(fma.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (pow.f64 (PI.f64) 6) 1/64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(fma.f64 (cbrt.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 12) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 12) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 12))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 36))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 6))) 1)
(*.f64 (pow.f64 (PI.f64) 6) 1)
(*.f64 1 (pow.f64 (PI.f64) 6))
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 12)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (pow.f64 (PI.f64) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 12))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 6) (pow.f64 (sqrt.f64 (PI.f64)) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 6) (pow.f64 (cbrt.f64 (PI.f64)) 6))
(sqrt.f64 (pow.f64 (PI.f64) 12))
(fabs.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 6))))
(cbrt.f64 (pow.f64 (PI.f64) 18))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 6)))
(exp.f64 (*.f64 6 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 6 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 6))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(fabs.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 18))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(exp.f64 (*.f64 6 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 6 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))

Outputs
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(-.f64 (.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 12))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
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(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
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(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
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(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 1))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
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(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(fma.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (PI.f64) 6) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(fma.f64 (pow.f64 (PI.f64) 12) 1/4096 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(fma.f64 1/4096 (pow.f64 (PI.f64) 12) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(fma.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (pow.f64 (PI.f64) 6) 1/64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (*.f64 1/4096 (pow.f64 (PI.f64) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(fma.f64 (cbrt.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(fma.f64 (cbrt.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (cbrt.f64 (.f64 1/4096 (pow.f64 (PI.f64) 12))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 12))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
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(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 24)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 12) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 12))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))
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(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 36))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))
(pow.f64 (asin.f64 (-.f64 1 x)) 12)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 6))) 1)
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(*.f64 (pow.f64 (PI.f64) 6) 1)
(pow.f64 (PI.f64) 6)
(*.f64 1 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 6)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))
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(*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 12)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 12)))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 6))))
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(cbrt.f64 (pow.f64 (PI.f64) 18))
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(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1)
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(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
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(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 12)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 6))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(fabs.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 18))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(exp.f64 (*.f64 6 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(exp.f64 (.f64 (.f64 6 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	4.79%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (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	34
1	225	28
2	2974	28

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

202 → 265

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.14%	(pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3)
✓	0.48%	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
	4.98%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 48 to 41 computations (14.6% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`associate-*r/`
1094×	`associate-*l/`
938×	`*-commutative`
306×	`associate-/r*`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	306	28
2	3701	28

Stop Event

1×	node limit

Counts

2 → 216

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-/l*`
1038×	`associate--l-`
1020×	`+-commutative`
704×	`distribute-lft-in`
668×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	13690
1	1378	12756
2	7196	12744

Stop Event

1×	node limit

Counts

240 → 319

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.14%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	0.34%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) 1/3)
✓	6.15%	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 55 to 47 computations (14.5% saved)

series47.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
11.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
10.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
1.0ms	x	@	0	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) 1/3)
1.0ms	x	@	inf	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) 1/3)

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`*-commutative`
812×	`unswap-sqr`
808×	`associate-*r/`
612×	`associate-*l/`
570×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	313	28
2	3231	28

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-*r/`
686×	`associate-r`
638×	`associate-l`
628×	`associate-/r/`
614×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	10782
1	1131	10110
2	4675	9990

Stop Event

1×	node limit

Counts

192 → 244

Calls

Call 1

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

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

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1%	(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
✓	0.1%	(cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
✓	4.77%	(+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 136 to 120 computations (11.8% saved)

series5.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`associate-*r/`
1062×	`*-commutative`
888×	`associate-*l/`
676×	`distribute-lft-in`
662×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	85
1	282	85
2	3479	77

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-/r/`
906×	`+-commutative`
740×	`associate--r+`
636×	`associate-/l*`
560×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	470	14376
1	1329	13564
2	5639	13564

Stop Event

1×	node limit

Counts

220 → 294

Calls

Call 1

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

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

eval2.0s (17.2%)

Compiler: Compiled 113642 to 99642 computations (12.3% saved)

prune787.0ms (6.6%)

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	2326	20	2346
Fresh	7	16	23
Picked	1	0	1
Done	3	4	7
Total	2337	40	2377

Error

88.94%

Counts

2377 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	92.38%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	92.38%	(pow.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) 3) 1/3)
	93.14%	(pow.f64 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) 1/3)
	92.42%	(pow.f64 (+.f64 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) -1) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
▶	92.37%	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
▶	89.13%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.16%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.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))))))
✓	89.15%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.15%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (exp.f64 (.f64 6 (log.f64 (PI.f64)))) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.22%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 12) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 12))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	94.22%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 1/8)) 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))))))
	89.21%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
	89.16%	(/.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))))))
	94.23%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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))))))
	92.39%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	89.19%	(/.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 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))))))
	92.38%	(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
▶	92.39%	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
	92.4%	(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
✓	92.38%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	92.39%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	92.38%	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
	92.37%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	92.38%	(+.f64 (/.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))))) 1)
	92.39%	(+.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
	92.39%	(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
✓	92.38%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	92.38%	(+.f64 (*.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (+.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 1)
	92.38%	(+.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))))))
	93.16%	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	92.38%	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
	92.38%	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
	92.38%	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	92.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
▶	92.38%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
▶	92.39%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
	92.38%	(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
	92.39%	(exp.f64 (log.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)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
	92.38%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	92.38%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1898 to 1624 computations (14.4% saved)

localize138.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.6%	(pow.f64 (asin.f64 (-.f64 1 x)) 12)
✓	3.63%	(pow.f64 (PI.f64) 12)
✓	4.69%	(pow.f64 (PI.f64) 24)
✓	89.59%	(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))

Compiler

Compiled 388 to 314 computations (19.1% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))

1.0ms

-inf

(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))

1.0ms

inf

(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`associate-*r/`
784×	`associate-*l/`
416×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	65
1	422	51
2	5303	51

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12))))
(pow.f64 (PI.f64) 24)
(pow.f64 (PI.f64) 12)

Outputs

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(-.f64 1 x)) 24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (sqrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) 2) (cbrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/281474976710656 (pow.f64 (PI.f64) 48))) (cbrt.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24))) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 12) (pow.f64 (PI.f64) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 48)) (cbrt.f64 (pow.f64 (PI.f64) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 12) (pow.f64 (PI.f64) 6)) (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 12) (cbrt.f64 (pow.f64 (PI.f64) 24))) (cbrt.f64 (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 24) (pow.f64 (sqrt.f64 (PI.f64)) 24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 24) (pow.f64 (cbrt.f64 (PI.f64)) 24))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 48))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 24 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 24 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 24)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (cbrt.f64 (pow.f64 (PI.f64) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 48))) (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 12) (pow.f64 (sqrt.f64 (PI.f64)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 12) (pow.f64 (cbrt.f64 (PI.f64)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 24))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (PI.f64) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 36))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (PI.f64) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 12)))))))

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

706×	`+-commutative`
590×	`fma-def`
558×	`associate-l`
544×	`associate-r`
510×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	12623
1	983	11245
2	4888	10443

Stop Event

1×	node limit

Counts

181 → 244

Calls

Call 1

Inputs
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1)))
(+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1)))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
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(log.f64 (exp.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(exp.f64 (log.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 (pow.f64 (PI.f64) 24) 1/16777216 (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 (sqrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (sqrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) 2) (cbrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 (cbrt.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48))) (cbrt.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 24))) 1)
(*.f64 (pow.f64 (PI.f64) 24) 1)
(*.f64 1 (pow.f64 (PI.f64) 24))
(*.f64 (pow.f64 (PI.f64) 12) (pow.f64 (PI.f64) 12))
(.f64 (pow.f64 (PI.f64) 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 12)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 48)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (pow.f64 (PI.f64) 12)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 48)) (cbrt.f64 (pow.f64 (PI.f64) 24)))
(.f64 (.f64 (pow.f64 (PI.f64) 12) (pow.f64 (PI.f64) 6)) (pow.f64 (PI.f64) 6))
(.f64 (.f64 (pow.f64 (PI.f64) 12) (cbrt.f64 (pow.f64 (PI.f64) 24))) (cbrt.f64 (pow.f64 (PI.f64) 12)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 24) (pow.f64 (sqrt.f64 (PI.f64)) 24))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 24) (pow.f64 (cbrt.f64 (PI.f64)) 24))
(sqrt.f64 (pow.f64 (PI.f64) 48))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 24)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 24))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 24) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 24)))
(exp.f64 (*.f64 24 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 24 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 24)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 12))) 1)
(*.f64 1 (pow.f64 (PI.f64) 12))
(*.f64 (pow.f64 (PI.f64) 12) 1)
(*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (cbrt.f64 (pow.f64 (PI.f64) 24)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 12)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 48))) (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 24))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 12) (pow.f64 (sqrt.f64 (PI.f64)) 12))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 12) (pow.f64 (cbrt.f64 (PI.f64)) 12))
(sqrt.f64 (pow.f64 (PI.f64) 24))
(fabs.f64 (pow.f64 (PI.f64) 12))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 12)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 12))))
(cbrt.f64 (pow.f64 (PI.f64) 36))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 12)))
(exp.f64 (log.f64 (pow.f64 (PI.f64) 12)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 12)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 12)))

Outputs
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 24))
(-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (.f64 (.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 5))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(+.f64 (.f64 (.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 5))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2)))
(+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 7))
(+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1)))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3))
(+.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1)))
(+.f64 (.f64 (.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 5))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (.f64 (.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 5))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2)) (fma.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (.f64 1/16777216 (pow.f64 (PI.f64) 24))))
(+.f64 (fma.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2))))
(+.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (+.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2)) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4) (.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2)))))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(+.f64 (.f64 (.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 2) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 4) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 5))
(+.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) 1))
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(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
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(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(expm1.f64 (log1p.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(exp.f64 (log.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) 1))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(log1p.f64 (expm1.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 (pow.f64 (PI.f64) 24) 1/16777216 (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3))
(fma.f64 (sqrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (sqrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3))
(fma.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (.f64 (pow.f64 (PI.f64) 12) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) 2) (cbrt.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 24)))
(fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) 3))
(fma.f64 (cbrt.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48))) (cbrt.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24))) (pow.f64 (asin.f64 (-.f64 1 x)) 24))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 24))) 1)
(pow.f64 (PI.f64) 24)
(*.f64 (pow.f64 (PI.f64) 24) 1)
(pow.f64 (PI.f64) 24)
(*.f64 1 (pow.f64 (PI.f64) 24))
(pow.f64 (PI.f64) 24)
(*.f64 (pow.f64 (PI.f64) 12) (pow.f64 (PI.f64) 12))
(pow.f64 (PI.f64) 24)
(.f64 (pow.f64 (PI.f64) 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 12)))
(pow.f64 (PI.f64) 24)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 48)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (pow.f64 (PI.f64) 12)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (PI.f64) 12) (cbrt.f64 (pow.f64 (PI.f64) 12))))
(.f64 (pow.f64 (PI.f64) 12) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 12))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 48)) (cbrt.f64 (pow.f64 (PI.f64) 24)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 48)))
(.f64 (.f64 (pow.f64 (PI.f64) 12) (pow.f64 (PI.f64) 6)) (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 24)
(.f64 (.f64 (pow.f64 (PI.f64) 12) (cbrt.f64 (pow.f64 (PI.f64) 24))) (cbrt.f64 (pow.f64 (PI.f64) 12)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (.f64 (pow.f64 (PI.f64) 12) (cbrt.f64 (pow.f64 (PI.f64) 12))))
(.f64 (pow.f64 (PI.f64) 12) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 12))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 24) (pow.f64 (sqrt.f64 (PI.f64)) 24))
(pow.f64 (sqrt.f64 (PI.f64)) 48)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 24) (pow.f64 (cbrt.f64 (PI.f64)) 24))
(sqrt.f64 (pow.f64 (PI.f64) 48))
(fabs.f64 (pow.f64 (PI.f64) 24))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 24)))
(pow.f64 (PI.f64) 24)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 24))))
(pow.f64 (PI.f64) 24)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 24) 3))
(pow.f64 (PI.f64) 24)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 24)))
(pow.f64 (PI.f64) 24)
(exp.f64 (*.f64 24 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 24)
(exp.f64 (.f64 (.f64 24 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 24)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 24)))
(pow.f64 (PI.f64) 24)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 12))) 1)
(pow.f64 (PI.f64) 12)
(*.f64 1 (pow.f64 (PI.f64) 12))
(pow.f64 (PI.f64) 12)
(*.f64 (pow.f64 (PI.f64) 12) 1)
(pow.f64 (PI.f64) 12)
(*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 12)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 12)) (cbrt.f64 (pow.f64 (PI.f64) 24)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 12)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 24)) (cbrt.f64 (pow.f64 (PI.f64) 12)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 48))) (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 24))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 12) (pow.f64 (sqrt.f64 (PI.f64)) 12))
(pow.f64 (sqrt.f64 (PI.f64)) 24)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 12) (pow.f64 (cbrt.f64 (PI.f64)) 12))
(sqrt.f64 (pow.f64 (PI.f64) 24))
(pow.f64 (PI.f64) 12)
(fabs.f64 (pow.f64 (PI.f64) 12))
(pow.f64 (PI.f64) 12)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 12)))
(pow.f64 (PI.f64) 12)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 12))))
(pow.f64 (PI.f64) 12)
(cbrt.f64 (pow.f64 (PI.f64) 36))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 12)))
(pow.f64 (PI.f64) 12)
(exp.f64 (log.f64 (pow.f64 (PI.f64) 12)))
(pow.f64 (PI.f64) 12)
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 12)) 1))
(pow.f64 (PI.f64) 12)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 12)))
(pow.f64 (PI.f64) 12)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.07%	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
	7.57%	(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)) 2) 2)
0.0ms	x	@	-inf	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
0.0ms	x	@	inf	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	229	11
2	3039	11

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1074×	`associate-*r/`
870×	`*-commutative`
720×	`associate-/r/`
632×	`associate-*l/`
568×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	6492
1	780	6122
2	3231	5934

Stop Event

1×	node limit

Counts

112 → 156

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 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(+.f64 2 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))
(+.f64 2 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 2)
(+.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (acos.f64 (-.f64 1 x)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (.f64 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) (pow.f64 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) 16) (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) 64) (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) 64) (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 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 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) 64) (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (+.f64 16 (*.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 3) 512) (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 64 (.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 3) 512) (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 64 (.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0)) (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 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) 1) (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 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) 1) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) 16) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4))) (+.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) 64) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (+.f64 16 (*.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) 64) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 3) 512) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 64 (.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) 1) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (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)) 2) -2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(fma.f64 (sqrt.f64 (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)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(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 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(acos.f64 (-.f64 1 x))
(+.f64 2 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))
(acos.f64 (-.f64 1 x))
(+.f64 2 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 2)
(acos.f64 (-.f64 1 x))
(+.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (fma.f64 (acos.f64 (-.f64 1 x)) 2 4))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8) (+.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (.f64 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) (.f64 (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4))))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (*.f64 2 (acos.f64 (-.f64 1 x))) 4))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) (.f64 (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8)))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) (.f64 (+.f64 8 (.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -8 (.f64 (acos.f64 (-.f64 1 x)) -2))))) (+.f64 -4 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) (pow.f64 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) (pow.f64 (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) (.f64 (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)) (-.f64 (+.f64 4 (+.f64 (*.f64 2 (acos.f64 (-.f64 1 x))) 4)) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6))) (fma.f64 (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8) (-.f64 (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 8 (.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 4 (.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4))) (+.f64 (pow.f64 (+.f64 8 (.f64 (acos.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6)))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 4 (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) 16) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4))) (+.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) -16) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) -16) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) 64) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (+.f64 16 (*.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 3) -64) (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) (+.f64 16 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6) -64) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 4) (fma.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4 16)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) 64) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (+.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6) -64) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (*.f64 2 (acos.f64 (-.f64 1 x))) 4)))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6) -64) (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6) -64) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8)) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 3) 512) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (+.f64 (.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 64 (.f64 8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 3) -512) (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6) (+.f64 64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 3) -512) (.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) 8)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6) (fma.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8 64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 3) -512) (.f64 (+.f64 4 (.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 6) (fma.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8 64))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) 1) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (+.f64 (.f64 2 (acos.f64 (-.f64 1 x))) 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 8)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(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)) 2) -2)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(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)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(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 (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	4.93%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	4.98%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 43 to 36 computations (16.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`associate-*r/`
1026×	`associate-*l/`
862×	`*-commutative`
778×	`distribute-lft-in`
320×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	238	11
2	3117	11

Stop Event

1×	node limit

Counts

1 → 124

Calls

Call 1

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

976×	`associate--l+`
976×	`*-commutative`
914×	`associate-+r-`
892×	`associate-+l-`
726×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	7488
1	872	7112
2	4026	7064

Stop Event

1×	node limit

Counts

136 → 188

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	1.65%	(asin.f64 (-.f64 1 x))
✓	4.93%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	5.04%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite108.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`associate-*r/`
878×	`associate-*l/`
752×	`distribute-rgt-in`
708×	`distribute-lft-in`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	287	22
2	3452	22

Stop Event

1×	node limit

Counts

2 → 320

Calls

Call 1

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

Outputs

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

simplify184.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1616×	`associate--r+`
1180×	`associate--l+`
720×	`fma-def`
490×	`associate--r-`
472×	`associate--l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	428	21768
1	1190	20150
2	5481	20150

Stop Event

1×	node limit

Counts

344 → 264

Calls

Call 1

Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (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))) 1))
(+.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 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (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 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 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 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)))
(+.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 0 (acos.f64 (-.f64 1 x)))
(+.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)))))
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(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))))
(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))))
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Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
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(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
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(-.f64 (fma.f64 1/2 (PI.f64) (*.f64 0 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
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(fma.f64 1/2 (PI.f64) (+.f64 (neg.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (.f64 0 (asin.f64 (-.f64 1 x)))))
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(/.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(.f64 (/.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (/.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (.f64 1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (+.f64 (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 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(/.f64 (.f64 (-.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) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (-.f64 (.f64 1/64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (/.f64 (-.f64 (.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (+.f64 (.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 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 (-.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)) (fma.f64 (PI.f64) 1/2 (asin.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 (.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)) (fma.f64 1/2 (PI.f64) (asin.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.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)) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (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)))
(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))
(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)))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(pow.f64 (acos.f64 (-.f64 1 x)) 2)
✓	0.48%	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
✓	7.52%	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
	7.57%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 136 to 113 computations (16.9% saved)

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
2.0ms	x	@	inf	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
1.0ms	x	@	0	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
1.0ms	x	@	-inf	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
1.0ms	x	@	inf	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`associate-+l+`
518×	`+-commutative`
476×	`associate-+r+`
408×	`associate-+l-`
408×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	207
1	402	199
2	5554	199

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate--r+`
1252×	`associate-+l-`
1180×	`associate-+r-`
1086×	`associate--l+`
1086×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	11731
1	823	9443
2	3195	9309

Stop Event

1×	node limit

Counts

141 → 167

Calls

Call 1

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

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

eval1.2s (10.1%)

Compiler: Compiled 68309 to 57349 computations (16% saved)

prune421.0ms (3.5%)

Pruning

57 alts after pruning (49 fresh and 8 done)

	Pruned	Kept	Total
New	1464	28	1492
Fresh	10	21	31
Picked	1	0	1
Done	0	8	8
Total	1475	57	1532

Error

88.83%

Counts

1532 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	89.26%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
	89.2%	(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
	92.54%	(pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x))) 1/3)
	92.38%	(pow.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) 3) 1/3)
	96%	(pow.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 2)) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)))) 1/3)
	96.01%	(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1/3)
	92.39%	(pow.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
	96.04%	(pow.f64 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
	92.37%	(pow.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3)
	93.14%	(pow.f64 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) 1/3)
	92.42%	(pow.f64 (+.f64 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) -1) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
	92.4%	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
	92.3%	(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x)))))) 1/3)
	92.79%	(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (/.f64 (.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 1/281474976710656 (pow.f64 (PI.f64) 48))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)))) (/.f64 (fma.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.12%	(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 24) 6)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 1/79228162514264337593543950336 (pow.f64 (PI.f64) 96) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 48) (fma.f64 1/281474976710656 (pow.f64 (PI.f64) 48) (pow.f64 (asin.f64 (-.f64 1 x)) 48))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.13%	(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 48) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (.f64 (fma.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 1/281474976710656 (pow.f64 (PI.f64) 48))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	92.45%	(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (+.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)) (.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	92.79%	(/.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (+.f64 (.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6))) (/.f64 1 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))) (.f64 (+.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)) (.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)) (.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
✓	89.13%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.14%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.16%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/16777216 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 24)))) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.16%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.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))))))
✓	89.15%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.15%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (exp.f64 (.f64 6 (log.f64 (PI.f64)))) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
	89.16%	(/.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))))))
	89.19%	(/.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 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))))))
	92.38%	(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
	96.01%	(/.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
	92.39%	(-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 2)
✓	92.39%	(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
✓	92.38%	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	92.39%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	92.38%	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
	92.37%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	92.38%	(+.f64 (/.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))))) 1)
	92.39%	(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
✓	92.38%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	92.38%	(+.f64 (*.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (+.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 1)
	93.16%	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	92.38%	(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
	92.38%	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
	92.38%	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	92.4%	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	94.22%	(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
✓	92.38%	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	89.2%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	89.21%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
	92.4%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))))
✓	92.39%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
	89.23%	(log.f64 (exp.f64 (+.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)))))))
	92.39%	(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
	92.38%	(log.f64 (exp.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
	92.37%	(log.f64 (exp.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))))
	92.38%	(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
	92.38%	(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
	92.38%	(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
✓	92.38%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 2140 to 1828 computations (14.6% saved)

regimes111.0ms (0.9%)

Counts

83 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 2)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) 1/3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.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 (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 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (+.f64 1 (sqrt.f64 (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))))))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) 1/3)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(log.f64 (exp.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.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 -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))))) 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 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (+.f64 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) -1) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x)))))) 1/3)
(exp.f64 (log.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)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(pow.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
(pow.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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 (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 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(/.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))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 1/8)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 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 (expm1.f64 (log1p.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) (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 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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))))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 2)) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)))) 1/3)
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.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 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.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))))))
(pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1/3)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
(pow.f64 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (exp.f64 (.f64 6 (log.f64 (PI.f64)))) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 12) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 12))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 24)))) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (+.f64 (.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (+.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)) (.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (/.f64 (-.f64 (.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 24) 6)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 1/79228162514264337593543950336 (pow.f64 (PI.f64) 96) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 48) (fma.f64 1/281474976710656 (pow.f64 (PI.f64) 48) (pow.f64 (asin.f64 (-.f64 1 x)) 48))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (-.f64 (.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 48) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (.f64 (fma.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 1/281474976710656 (pow.f64 (PI.f64) 48))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 (.f64 (+.f64 (.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (+.f64 (.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6))) (/.f64 1 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))) (.f64 (+.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)) (.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (+.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)) (.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (fma.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (/.f64 (.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 1/281474976710656 (pow.f64 (PI.f64) 48))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 24) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)))) (/.f64 (fma.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))

Outputs

(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 24) 6)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 1/79228162514264337593543950336 (pow.f64 (PI.f64) 96) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 48) (fma.f64 1/281474976710656 (pow.f64 (PI.f64) 48) (pow.f64 (asin.f64 (-.f64 1 x)) 48))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))

Calls

3 calls:

34.0ms	x
9.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.12%	1	`x`
89.12%	1	`(acos.f64 (-.f64 1 x))`
89.12%	1	`(-.f64 1 x)`

Compiler

Compiled 2744 to 2280 computations (16.9% saved)

regimes95.0ms (0.8%)

Counts

79 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 2)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) 1/3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.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 (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 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (+.f64 1 (sqrt.f64 (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))))))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) 1/3)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(log.f64 (exp.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.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 -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))))) 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 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (+.f64 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) -1) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x)))))) 1/3)
(exp.f64 (log.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)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(pow.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
(pow.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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 (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 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(/.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))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 1/8)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 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 (expm1.f64 (log1p.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) (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 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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))))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 2)) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)))) 1/3)
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.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 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.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))))))
(pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1/3)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
(pow.f64 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (exp.f64 (.f64 6 (log.f64 (PI.f64)))) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 12) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 12))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 24)))) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (+.f64 (.f64 1/4722366482869645213696 (pow.f64 (pow.f64 (PI.f64) 24) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 6)) (+.f64 (.f64 1/281474976710656 (pow.f64 (PI.f64) 48)) (.f64 (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24)) (pow.f64 (asin.f64 (-.f64 1 x)) 24)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))

Outputs

(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/16777216 (pow.f64 (PI.f64) 24)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))

Calls

3 calls:

32.0ms	x
8.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.13%	1	`x`
89.13%	1	`(acos.f64 (-.f64 1 x))`
89.13%	1	`(-.f64 1 x)`

Compiler

Compiled 2216 to 1844 computations (16.8% saved)

regimes85.0ms (0.7%)

Counts

74 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 2)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) 1/3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.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 (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 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (+.f64 1 (sqrt.f64 (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))))))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) 1/3)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(log.f64 (exp.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.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 -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))))) 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 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (+.f64 (.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 (.f64 (acos.f64 (-.f64 1 x)) -1) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x)))))) 1/3)
(exp.f64 (log.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)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(pow.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
(pow.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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 (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 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(/.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))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 1/8)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 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 (expm1.f64 (log1p.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) (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 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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))))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 2)) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)))) 1/3)
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.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 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.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))))))
(pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1/3)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))
(pow.f64 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 1/3)
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (exp.f64 (.f64 6 (log.f64 (PI.f64)))) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))

Outputs

(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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))))))

Calls

3 calls:

31.0ms	x
10.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.15%	1	`x`
89.15%	1	`(acos.f64 (-.f64 1 x))`
89.15%	1	`(-.f64 1 x)`

Compiler

Compiled 1805 to 1510 computations (16.3% saved)

regimes75.0ms (0.6%)

Counts

70 → 1

Calls

Call 1

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

Outputs

(/.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))))))

Calls

3 calls:

29.0ms	x
8.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.16%	1	`x`
89.16%	1	`(acos.f64 (-.f64 1 x))`
89.16%	1	`(-.f64 1 x)`

Compiler

Compiled 1529 to 1284 computations (16% saved)

regimes66.0ms (0.6%)

Counts

62 → 1

Calls

Call 1

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

Outputs

(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 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))))))

Calls

3 calls:

27.0ms	x
7.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.19%	1	`x`
89.19%	1	`(acos.f64 (-.f64 1 x))`
89.19%	1	`(-.f64 1 x)`

Compiler

Compiled 1142 to 971 computations (15% saved)

regimes61.0ms (0.5%)

Counts

60 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
7.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.2%	1	`x`
89.2%	1	`(acos.f64 (-.f64 1 x))`
89.2%	1	`(-.f64 1 x)`

Compiler

Compiled 1076 to 921 computations (14.4% saved)

regimes33.0ms (0.3%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.2%	1	`x`
89.2%	1	`(acos.f64 (-.f64 1 x))`
89.2%	1	`(-.f64 1 x)`

Compiler

Compiled 405 to 356 computations (12.1% saved)

regimes43.0ms (0.4%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
89.96%	2	`x`
89.96%	2	`(acos.f64 (-.f64 1 x))`
89.96%	2	`(-.f64 1 x)`

Compiler

Compiled 354 to 311 computations (12.1% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.9685077312626065e-17	1.3409465789004801e-14

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 201 to 183 computations (9% saved)

regimes27.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
5.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.98%	2	`x`
89.98%	2	`(acos.f64 (-.f64 1 x))`
89.98%	2	`(-.f64 1 x)`

Compiler

Compiled 156 to 135 computations (13.5% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.9685077312626065e-17	1.3409465789004801e-14

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 177 to 159 computations (10.2% saved)

regimes22.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))

Calls

3 calls:

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

Results

Error	Segments	Branch
89.98%	2	`x`
89.98%	2	`(acos.f64 (-.f64 1 x))`
89.98%	2	`(-.f64 1 x)`

Compiler

Compiled 112 to 96 computations (14.3% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.9685077312626065e-17	1.3409465789004801e-14

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 161 to 143 computations (11.2% saved)

regimes19.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
89.98%	2	`x`
89.98%	2	`(acos.f64 (-.f64 1 x))`
89.98%	2	`(-.f64 1 x)`

Compiler

Compiled 93 to 80 computations (14% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.9685077312626065e-17	1.3409465789004801e-14

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 145 to 127 computations (12.4% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
92.38%	1	`x`
92.38%	1	`(acos.f64 (-.f64 1 x))`
92.38%	1	`(-.f64 1 x)`

Compiler

Compiled 72 to 62 computations (13.9% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative`
54×	`+-commutative`
36×	`sub-neg`
20×	`neg-sub0`
18×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	1350
1	164	1342
2	201	1342
3	225	1342
4	239	1342
5	241	1342
6	242	1342

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 24) 6)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 1/79228162514264337593543950336 (pow.f64 (PI.f64) 96) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 48) (fma.f64 1/281474976710656 (pow.f64 (PI.f64) 48) (pow.f64 (asin.f64 (-.f64 1 x)) 48))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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) (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 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 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))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))

Outputs
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 24) 6)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 1/79228162514264337593543950336 (pow.f64 (PI.f64) 96) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 48) (fma.f64 1/281474976710656 (pow.f64 (PI.f64) 48) (pow.f64 (asin.f64 (-.f64 1 x)) 48))))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (/.f64 (-.f64 (.f64 1/22300745198530623141535718272648361505980416 (pow.f64 (pow.f64 (PI.f64) 24) 6)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) 12)) (fma.f64 1/16777216 (pow.f64 (PI.f64) 24) (pow.f64 (asin.f64 (-.f64 1 x)) 24))) (fma.f64 1/79228162514264337593543950336 (pow.f64 (PI.f64) 96) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 48) (fma.f64 1/281474976710656 (pow.f64 (PI.f64) 48) (pow.f64 (asin.f64 (-.f64 1 x)) 48))))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (.f64 (pow.f64 (PI.f64) 12) 1/4096))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 1/16777216 (pow.f64 (PI.f64) 24)) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 (pow.f64 (PI.f64) 24) 1/16777216) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (-.f64 (.f64 (pow.f64 (PI.f64) 12) 1/4096) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12)))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 (pow.f64 (PI.f64) 24) 1/16777216) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (pow.f64 (asin.f64 (-.f64 1 x)) 12))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (.f64 (pow.f64 (PI.f64) 12) 1/4096))) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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 1/4096 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6))) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.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) (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 (exp.f64 (.f64 3 (log.f64 (PI.f64)))) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/8 (exp.f64 (.f64 3 (log.f64 (PI.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))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(fma.f64 (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -2)
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (acos.f64 (-.f64 1 x)))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 437 to 367 computations (16% saved)

soundness301.0ms (2.5%)

Algorithm

3×	egg-herbie

Rules

1164×	`associate-+r+`
1070×	`associate-+l+`
940×	`associate-r`
938×	`*-commutative`
820×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	407
1	151	403
2	576	403
3	2246	403
4	5313	403
0	510	15055
1	1394	13663
2	6873	13663
0	400	12623
1	983	11245
2	4888	10443

Stop Event

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

Compiler

Compiled 815 to 652 computations (20% saved)

end200.0ms (1.7%)

Compiler: Compiled 426 to 347 computations (18.5% saved)