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 (24.6%)

Results

1.2s	4185×	body	1024	valid
388.0ms	2029×	body	512	valid
294.0ms	403×	body	2048	valid
162.0ms	1639×	body	256	valid

Bogosity

preprocess14.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

59.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(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))

rewrite48.0ms (0.6%)

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))))))))

simplify53.0ms (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)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Error

59.3b

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.4b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	59.4b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	59.4b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶	59.4b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	59.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 57 to 48 computations (15.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	3.4b	(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 (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	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))))))))

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 (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	3.4b	(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)

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	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

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

simplify80.0ms (1%)

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

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	0.0b	(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
✓	0.7b	(asin.f64 (-.f64 1 x))
✓	2.3b	(-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))

Compiler

Compiled 82 to 62 computations (24.4% saved)

series4.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite120.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

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

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	15395
1	1609	13891

Stop Event

1×	node limit

Counts

307 → 334

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓	0.2b	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
	3.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite62.0ms (0.7%)

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)))))))

simplify69.0ms (0.8%)

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)

eval421.0ms (5.1%)

Compiler: Compiled 21746 to 18070 computations (16.9% saved)

prune150.0ms (1.8%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	724	28	752
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	726	31	757

Error

57.0b

Counts

757 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	59.4b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
	60.5b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	57.1b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	59.4b	(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
	57.2b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	59.4b	(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
▶	57.2b	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	59.4b	(/.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)))
	59.4b	(/.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))))
	59.4b	(/.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))))
	59.3b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	59.4b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	59.4b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
	57.2b	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	57.2b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	57.2b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
▶	59.4b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	57.2b	(+.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)))))
	57.2b	(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.4b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	57.2b	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
	57.2b	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	57.2b	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.4b	(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
▶	59.4b	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	59.4b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
▶	59.4b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
	59.4b	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
	59.4b	(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓	59.4b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	59.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1277 to 1108 computations (13.2% saved)

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(asin.f64 (-.f64 1 x))
✓	1.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
✓	1.6b	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
✓	58.5b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

Compiler

Compiled 113 to 92 computations (18.6% saved)

series9.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

134 → 169

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	2.2b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	3.4b	(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	@	0	(+.f64 (acos.f64 (-.f64 1 x)) -1)
0.0ms	x	@	-inf	(+.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)

rewrite79.0ms (1%)

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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(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)))))

simplify114.0ms (1.4%)

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

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1)
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (+.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (-.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 -1 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 0 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
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(.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))))
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(/.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)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	2.3b	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	3.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 38 to 31 computations (18.4% saved)

series50.0ms (0.6%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
17.0ms	x	@	inf	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
11.0ms	x	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	-inf	(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0.0ms	x	@	0	(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1918×	`add-sqr-sqrt`
1896×	`*-un-lft-identity`
1760×	`add-cube-cbrt`
1744×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	198	36
2	2366	36

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-r`
1280×	`associate-*r/`
1278×	`associate-+r+`
1246×	`associate-l`
1142×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	1279
1	196	1129
2	722	1121
3	4664	1121

Stop Event

1×	node limit

Counts

53 → 51

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (asin.f64 (-.f64 1 x)))
✓	0.0b	(/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x))))
	0.7b	(asin.f64 (-.f64 1 x))
✓	2.2b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))

Compiler

Compiled 44 to 35 computations (20.5% saved)

series62.0ms (0.7%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
12.0ms	x	@	-inf	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
12.0ms	x	@	inf	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
0.0ms	x	@	0	(/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x))))
0.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x))))

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`associate-*r/`
864×	`associate-*l/`
842×	`associate-/r*`
696×	`associate-/l*`
508×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	303	41
2	3735	41

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1642×	`distribute-rgt-in`
1636×	`distribute-lft-in`
580×	`associate-+l+`
488×	`associate-+r+`
486×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	397	7029
1	971	6435
2	4177	6435

Stop Event

1×	node limit

Counts

213 → 251

Calls

Call 1

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

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

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(asin.f64 (-.f64 1 x))
✓	0.9b	(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
✓	0.9b	(exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
✓	58.3b	(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)

Compiler

Compiled 109 to 90 computations (17.4% saved)

series75.0ms (0.9%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	x	@	inf	(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
13.0ms	x	@	0	(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
12.0ms	x	@	-inf	(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
0.0ms	x	@	0	(exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
0.0ms	x	@	-inf	(exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

rewrite98.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`associate-*r/`
1312×	`associate-*l/`
390×	`add-sqr-sqrt`
380×	`*-un-lft-identity`
374×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	389	81
2	4826	81

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs

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

(exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))

Outputs

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

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

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

simplify131.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1098×	`unswap-sqr`
1062×	`associate-/l*`
820×	`*-commutative`
626×	`associate-/r*`
432×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	10319
1	744	10109
2	3050	9469

Stop Event

1×	node limit

Counts

167 → 177

Calls

Call 1

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

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

eval692.0ms (8.3%)

Compiler: Compiled 34194 to 28706 computations (16% saved)

prune294.0ms (3.5%)

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	1173	24	1197
Fresh	13	10	23
Picked	0	1	1
Done	1	6	7
Total	1187	41	1228

Error

57.0b

Counts

1228 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	59.4b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
▶	60.5b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	60.6b	(/.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 2) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.2b	(/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (pow.f64 (.f64 (PI.f64) 1/2) 1/3)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/3) (pow.f64 (.f64 (PI.f64) 1/2) 1/3))) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	57.1b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	57.1b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.2b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	59.4b	(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
	60.5b	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	57.2b	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶	57.2b	(-.f64 (-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
	59.4b	(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
	59.3b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	59.4b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	57.2b	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	57.2b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	59.4b	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	59.4b	(+.f64 (/.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))))) 1)
✓	59.4b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	59.4b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	57.2b	(+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 1/2 (PI.f64)))
	57.2b	(+.f64 (.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 1/2 (PI.f64)))
	57.2b	(+.f64 (log.f64 (exp.f64 (/.f64 (PI.f64) 4))) (+.f64 (log.f64 (exp.f64 (/.f64 (PI.f64) 4))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
▶	59.6b	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	57.2b	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	57.2b	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.4b	(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)) 2)
	59.4b	(*.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 2)
	59.4b	(*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)) 2)
✓	59.4b	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	59.4b	(.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
▶	59.4b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	59.4b	(neg.f64 (log.f64 (/.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))))
	59.4b	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
	57.2b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 3)))
	57.2b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
	59.4b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))))
	59.4b	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
✓	59.4b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	59.3b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3)))
✓	59.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1480 to 1306 computations (11.8% saved)

localize54.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
	1.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
	1.6b	(pow.f64 (*.f64 (PI.f64) 1/2) 4)
	58.5b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

Compiler

Compiled 132 to 109 computations (17.4% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	211	11
2	2283	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 39

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`associate-*r/`
928×	`associate-*l/`
924×	`*-commutative`
548×	`distribute-lft-in`
522×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	244	23
2	3200	17

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-*r/`
1408×	`associate-/r*`
1034×	`associate-*l/`
792×	`*-commutative`
636×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	4702
1	686	4554
2	2796	4542

Stop Event

1×	node limit

Counts

94 → 136

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓	0.0b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓	2.4b	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
	3.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 38 to 31 computations (18.4% saved)

series36.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
12.0ms	x	@	inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
12.0ms	x	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms	x	@	-inf	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
0.0ms	x	@	0	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (*.f64 1 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (PI.f64) 1/2)) (*.f64 1/3 (neg.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (*.f64 1/3 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (exp.f64 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simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

unsound

Counts

183 → 154

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.7b	(asin.f64 (-.f64 1 x))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓	55.3b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

Compiler

Compiled 38 to 29 computations (23.7% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`unswap-sqr`
754×	`swap-sqr`
606×	`associate-*r/`
542×	`distribute-rgt-in`
514×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	303	24
2	3626	24

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

988×	`associate-+r-`
824×	`fma-def`
684×	`distribute-lft-in`
650×	`+-commutative`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2743
1	509	2479
2	1770	2459
3	7356	2459

Stop Event

1×	node limit

Counts

99 → 116

Calls

Call 1

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

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

localize49.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
✓	1.0b	(exp.f64 (*.f64 2 (asin.f64 (-.f64 1 x))))
✓	1.5b	(-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x)))))))
✓	58.5b	(-.f64 (-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))

Compiler

Compiled 98 to 82 computations (16.3% saved)

series150.0ms (1.8%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
96.0ms	x	@	-inf	(-.f64 (-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
27.0ms	x	@	0	(-.f64 (-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
26.0ms	x	@	inf	(-.f64 (-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
0.0ms	x	@	0	(-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x)))))))
0.0ms	x	@	-inf	(-.f64 (.f64 1/2 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2 (asin.f64 (-.f64 1 x)))))))

rewrite127.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`associate-*r/`
438×	`add-sqr-sqrt`
424×	`pow1`
424×	`*-un-lft-identity`
410×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	154
1	429	88
2	5436	88

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

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

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

simplify177.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate--l+`
1004×	`fma-def`
930×	`associate-/r*`
746×	`associate--r-`
576×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	20287
1	1470	15423
2	6016	15351

Stop Event

1×	node limit

Counts

287 → 366

Calls

Call 1

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

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

eval655.0ms (7.9%)

Compiler: Compiled 35777 to 30716 computations (14.1% saved)

prune285.0ms (3.4%)

Pruning

50 alts after pruning (40 fresh and 10 done)

	Pruned	Kept	Total
New	1223	18	1241
Fresh	7	22	29
Picked	1	0	1
Done	1	10	11
Total	1232	50	1282

Error

57.0b

Counts

1282 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	57.2b	(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
	59.4b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	60.6b	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	57.1b	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	57.2b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓	60.5b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	57.1b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))))
✓	57.1b	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.2b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.2b	(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2/3 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (.f64 -1/3 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2/3 (asin.f64 (-.f64 1 x)))) 2) (.f64 (.f64 (asin.f64 (-.f64 1 x)) 1/3) (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 -1/3 (asin.f64 (-.f64 1 x))) (.f64 2/3 (asin.f64 (-.f64 1 x))))))))
	60.5b	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓	57.2b	(/.f64 (+.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
	57.2b	(-.f64 (fma.f64 1/2 (PI.f64) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2/3))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2/3)) 2)) (.f64 2 (*.f64 (asin.f64 (-.f64 1 x)) 0)))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
	59.4b	(-.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 2/3 (asin.f64 (-.f64 1 x)))) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 2/3 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (.f64 2/3 (asin.f64 (-.f64 1 x)))) 2) (.f64 2/3 (asin.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
	59.4b	(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
	59.3b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓	59.4b	(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
	57.2b	(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
	57.2b	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.6b	(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
	57.2b	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
	59.4b	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
	59.4b	(+.f64 (/.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))))) 1)
	57.2b	(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (neg.f64 (.f64 1/3 (asin.f64 (-.f64 1 x)))))
✓	59.4b	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	59.4b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
	57.2b	(+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (.f64 1/2 (PI.f64)))
	59.4b	(+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2/3))) (pow.f64 (cbrt.f64 (.f64 (asin.f64 (-.f64 1 x)) 2/3)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) -1/3)))
	57.2b	(+.f64 (neg.f64 (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (asin.f64 (-.f64 1 x)))))
✓	59.6b	(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
	57.2b	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	57.2b	(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
	59.4b	(.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1) 3)
	59.4b	(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)) 2)
	59.4b	(*.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 2)
	59.4b	(*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 3)
	59.4b	(.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3/2))) 3)
	59.4b	(.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))) 3)
✓	59.4b	(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
	59.4b	(.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
	59.4b	(.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
✓	59.4b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
	59.4b	(neg.f64 (log.f64 (/.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))))
	57.2b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (pow.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 3)))
	57.2b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
	59.4b	(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))))
	59.4b	(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
✓	59.4b	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	59.3b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3)))
✓	59.4b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1013 to 899 computations (11.3% saved)

regimes111.0ms (1.3%)

Counts

75 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

30.0ms	x
7.0ms	(-.f64 1 x)
5.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.1b	1	`x`
57.1b	1	`(acos.f64 (-.f64 1 x))`
57.1b	1	`(-.f64 1 x)`

Compiler

Compiled 1533 to 1310 computations (14.5% saved)

regimes62.0ms (0.7%)

Counts

63 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
57.1b	1	`x`
57.1b	1	`(acos.f64 (-.f64 1 x))`
57.1b	1	`(-.f64 1 x)`

Compiler

Compiled 1051 to 902 computations (14.2% saved)

regimes42.0ms (0.5%)

Counts

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

Outputs
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (neg.f64 (.f64 1/3 (asin.f64 (-.f64 1 x)))))

Calls

3 calls:

18.0ms	x
5.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.2b	1	`x`
57.2b	1	`(acos.f64 (-.f64 1 x))`
57.2b	1	`(-.f64 1 x)`

Compiler

Compiled 601 to 521 computations (13.3% saved)

regimes19.0ms (0.2%)

Counts

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

Outputs
(+.f64 (neg.f64 (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (asin.f64 (-.f64 1 x)))))

Calls

3 calls:

8.0ms	x
3.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.2b	1	`x`
57.2b	1	`(acos.f64 (-.f64 1 x))`
57.2b	1	`(-.f64 1 x)`

Compiler

Compiled 190 to 165 computations (13.2% saved)

regimes27.0ms (0.3%)

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

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

Calls

3 calls:

14.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.7b	2	`x`
57.7b	2	`(acos.f64 (-.f64 1 x))`
57.7b	2	`(-.f64 1 x)`

Compiler

Compiled 170 to 148 computations (12.9% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	7.908464093198161e-19	3.7498153374702826e-16

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 193 to 175 computations (9.3% saved)

regimes22.0ms (0.3%)

Counts

13 → 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 (PI.f64) (acos.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))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 1 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(.f64 (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)

Outputs
(+.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))

Calls

3 calls:

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

Results

Error	Segments	Branch
57.7b	2	`x`
57.7b	2	`(acos.f64 (-.f64 1 x))`
57.7b	2	`(-.f64 1 x)`

Compiler

Compiled 120 to 103 computations (14.2% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	7.908464093198161e-19	3.7498153374702826e-16

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 209 to 191 computations (8.6% saved)

regimes15.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.7b	2	`x`
57.7b	2	`(acos.f64 (-.f64 1 x))`
57.7b	2	`(-.f64 1 x)`

Compiler

Compiled 47 to 39 computations (17% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	7.908464093198161e-19	3.7498153374702826e-16

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 177 to 159 computations (10.2% saved)

regimes13.0ms (0.2%)

Counts

4 → 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 (PI.f64) (acos.f64 (-.f64 1 x)))

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

Calls

3 calls:

6.0ms	x
3.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
57.7b	2	`x`
57.7b	2	`(acos.f64 (-.f64 1 x))`
57.7b	2	`(-.f64 1 x)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	7.908464093198161e-19	3.7498153374702826e-16

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 153 to 135 computations (11.8% saved)

regimes7.0ms (0.1%)

Counts

3 → 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)

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

Calls

3 calls:

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

Results

Error	Segments	Branch
59.4b	1	`x`
59.4b	1	`(acos.f64 (-.f64 1 x))`
59.4b	1	`(-.f64 1 x)`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
59.4b	1	`x`
59.4b	1	`(acos.f64 (-.f64 1 x))`
59.4b	1	`(-.f64 1 x)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

50×	`+-commutative`
36×	`*-commutative`
22×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	548
1	112	548
2	148	548
3	161	548
4	166	548

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (neg.f64 (.f64 1/3 (asin.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (asin.f64 (-.f64 1 x)))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.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)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))

Outputs
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (neg.f64 (.f64 1/3 (asin.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (.f64 -1/3 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (.f64 (asin.f64 (-.f64 1 x)) -1/3))
(+.f64 (neg.f64 (.f64 1/3 (.f64 2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/3 (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 -1/3 (.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (.f64 (PI.f64) 1/2) (.f64 -1/3 (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 1/3 (.f64 (asin.f64 (-.f64 1 x)) -2)) (+.f64 (.f64 (PI.f64) 1/2) (.f64 (asin.f64 (-.f64 1 x)) -1/3)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) -1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.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)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 1) (+.f64 (asin.f64 (-.f64 1 x)) 1)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 1) (+.f64 1 (asin.f64 (-.f64 1 x)))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 191 to 167 computations (12.6% saved)

soundness0.0ms (0%)

end98.0ms (1.2%)

Compiler: Compiled 182 to 153 computations (15.9% saved)