Details

analyze483.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.0s (34%)

Results

2.0s	4153×	body	2048	valid
902.0ms	8239×	body	256	invalid
689.0ms	2062×	body	1024	valid
252.0ms	1022×	body	512	valid
114.0ms	1018×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess73.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1080×	`associate-+r-`
964×	`*-commutative`
958×	`associate-+r+`
948×	`div-sub`
878×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	34	37
2	77	33
3	215	33
4	590	33
5	1702	33
6	4439	33
7	6925	33
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-+r-`
964×	`*-commutative`
958×	`associate-+r+`
948×	`div-sub`
878×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	34	37
2	77	33
3	215	33
4	590	33
5	1702	33
6	4439	33
7	6925	33

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

eval1.0ms (0%)

Compiler: Compiled 65 to 41 computations (36.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Accurracy

99.1%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 1 (.f64 5 (.f64 v v)))
✓	100.0%	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
✓	99.7%	(.f64 5 (.f64 v v))
✓	99.1%	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(.f64 5 (.f64 v v))
0.0ms	v	@	inf	(.f64 5 (.f64 v v))
0.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0ms	v	@	inf	(-.f64 1 (.f64 5 (.f64 v v)))

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-*l/`
968×	`associate-/r/`
664×	`distribute-lft-in`
644×	`associate-/l/`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	102
1	276	102
2	3840	102

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(.f64 5 (.f64 v v))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
(-.f64 1 (.f64 5 (.f64 v v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -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 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 5 (.f64 v v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 5 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 5 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 5 (.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 125 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 25 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 5 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 125 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 5 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 5 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 5 (.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 5 (.f64 v v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 v v -1)) (neg.f64 (.f64 5 (/.f64 (.f64 v v) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 1 (neg.f64 (.f64 5 (/.f64 (.f64 v v) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (.f64 v v) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (.f64 (.f64 v v) -5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 5 (/.f64 (.f64 v v) (fma.f64 v v -1)))) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (.f64 v v) -5)) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 (pow.f64 v 4) -1)) 1) (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 (pow.f64 v 4) -1)) 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v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 (.f64 v v) -5)) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (sqrt.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v 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/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 v v) -5) (.f64 (.f64 v v) -5))) 1) (+.f64 1 (.f64 5 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (.f64 v v) -5) 3)) 1) (+.f64 1 (-.f64 (.f64 (.f64 (.f64 v v) -5) (.f64 (.f64 v v) -5)) (.f64 (.f64 v v) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 125 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -5)))) (sqrt.f64 (+.f64 (.f64 25 (pow.f64 v 4)) (+.f64 1 (.f64 5 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 25 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -5)))) (sqrt.f64 (+.f64 1 (.f64 5 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 125 (pow.f64 v 6)))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) 2)) (cbrt.f64 (+.f64 (.f64 25 (pow.f64 v 4)) (+.f64 1 (.f64 5 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 25 (pow.f64 v 4)))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) 2)) (cbrt.f64 (+.f64 1 (.f64 5 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (.f64 25 (pow.f64 v 4)) (.f64 25 (pow.f64 v 4)))) (/.f64 1 (+.f64 1 (.f64 5 (.f64 v v))))) (+.f64 1 (.f64 25 (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 25 (pow.f64 v 4)) 3)) (/.f64 1 (+.f64 1 (.f64 5 (.f64 v v))))) (+.f64 1 (+.f64 (.f64 25 (pow.f64 v 4)) (.f64 (.f64 25 (pow.f64 v 4)) (.f64 25 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (.f64 125 (pow.f64 v 6)) (.f64 125 (pow.f64 v 6)))) (/.f64 1 (+.f64 (.f64 25 (pow.f64 v 4)) (+.f64 1 (.f64 5 (.f64 v v)))))) (+.f64 1 (.f64 125 (pow.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 125 (pow.f64 v 6)) 3)) (/.f64 1 (+.f64 (.f64 25 (pow.f64 v 4)) (+.f64 1 (.f64 5 (.f64 v v)))))) (+.f64 1 (+.f64 (.f64 125 (pow.f64 v 6)) (.f64 (.f64 125 (pow.f64 v 6)) (.f64 125 (pow.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (.f64 (.f64 v v) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (.f64 (.f64 v v) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (.f64 (.f64 v v) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 (.f64 v v) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 (.f64 v v) -5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (.f64 (.f64 v v) -5))))))))

simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

974×	`+-commutative`
858×	`associate-r`
838×	`associate-/l*`
756×	`associate-l`
634×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	509	9876
1	1573	9366
2	7983	9366

Stop Event

1×	node limit

Counts

232 → 309

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
1
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(*.f64 -5 (pow.f64 v 2))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(*.f64 -5 (pow.f64 v 2))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))
(+.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) 1)
(.f64 1 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1))))
(.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1))) 1)
(.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 2))
(log.f64 (exp.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))
(+.f64 1 (-.f64 (.f64 5 (.f64 v v)) 1))
(+.f64 (.f64 5 (.f64 v v)) 0)
(-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)
(pow.f64 (.f64 5 (.f64 v v)) 1)
(pow.f64 (*.f64 v (sqrt.f64 5)) 2)
(pow.f64 (cbrt.f64 (.f64 5 (.f64 v v))) 3)
(pow.f64 (*.f64 125 (pow.f64 v 6)) 1/3)
(sqrt.f64 (*.f64 25 (pow.f64 v 4)))
(log.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 5 (.f64 v v)))))
(cbrt.f64 (*.f64 125 (pow.f64 v 6)))
(expm1.f64 (log1p.f64 (.f64 5 (.f64 v v))))
(exp.f64 (log.f64 (.f64 5 (.f64 v v))))
(exp.f64 (.f64 (log.f64 (.f64 5 (*.f64 v v))) 1))
(log1p.f64 (expm1.f64 (.f64 5 (.f64 v v))))
(+.f64 (/.f64 1 (fma.f64 v v -1)) (neg.f64 (.f64 5 (/.f64 (.f64 v v) (fma.f64 v v -1)))))
(+.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 1 (neg.f64 (.f64 5 (/.f64 (*.f64 v v) (fma.f64 v v -1))))))
(+.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (*.f64 v v) -5)))
(+.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (.f64 (.f64 v v) -5) 1)))
(+.f64 (neg.f64 (.f64 5 (/.f64 (.f64 v v) (fma.f64 v v -1)))) (/.f64 1 (fma.f64 v v -1)))
(+.f64 (.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 (*.f64 v v) -5)) (/.f64 1 (fma.f64 v v -1)))
(+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 (pow.f64 v 4) -1)) 1) (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 (pow.f64 v 4) -1)) (*.f64 v v)))
(+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 (pow.f64 v 4) -1)) (.f64 v v)) (.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (+.f64 (pow.f64 v 4) -1)) 1))
(+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (pow.f64 v 6))) (pow.f64 v 4)) (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (pow.f64 v 6))) (fma.f64 v v 1)))
(+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (pow.f64 v 6))) (fma.f64 v v 1)) (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (pow.f64 v 6))) (pow.f64 v 4)))
(+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (pow.f64 v 6))) (+.f64 1 (pow.f64 v 4))) (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 -1 (pow.f64 v 6))) (*.f64 v v)))
(-.f64 (/.f64 1 (fma.f64 v v -1)) (.f64 5 (/.f64 (.f64 v v) (fma.f64 v v -1))))
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(pow.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) 2)
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(pow.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 2))
(log.f64 (exp.f64 (+.f64 1 (.f64 (.f64 v v) -5))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (.f64 (.f64 v v) -5)))))
(cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 3))
(expm1.f64 (log.f64 (+.f64 2 (.f64 (.f64 v v) -5))))
(exp.f64 (log1p.f64 (.f64 (.f64 v v) -5)))
(exp.f64 (.f64 (log1p.f64 (.f64 (*.f64 v v) -5)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (.f64 (.f64 v v) -5))))

Outputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (fma.f64 4 (.f64 v v) (.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) -1)
(+.f64 -1 (*.f64 4 (+.f64 (fma.f64 v v (pow.f64 v 4)) (pow.f64 v 6))))
(+.f64 -1 (*.f64 4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4)))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(+.f64 -5 (neg.f64 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 -5 (neg.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(+.f64 -5 (neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(+.f64 -5 (neg.f64 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 -5 (neg.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(+.f64 -5 (neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
1
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(*.f64 -5 (pow.f64 v 2))
(.f64 v (.f64 v -5))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(*.f64 -5 (pow.f64 v 2))
(.f64 v (.f64 v -5))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 1 (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(+.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (*.f64 (PI.f64) 1/2))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) 1)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 1 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1))) 1)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))) 2))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/4)) (.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/4)) (.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))) 1)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
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(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 25 (pow.f64 v 4)) 3)) (/.f64 1 (+.f64 1 (.f64 5 (.f64 v v))))) (+.f64 1 (+.f64 (.f64 25 (pow.f64 v 4)) (.f64 (.f64 25 (pow.f64 v 4)) (.f64 25 (pow.f64 v 4))))))
(/.f64 (-.f64 1 (.f64 15625 (pow.f64 (pow.f64 v 4) 3))) (.f64 (+.f64 1 (.f64 5 (.f64 v v))) (+.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 v 4) 25)) (*.f64 (pow.f64 v 4) 25)))))
(/.f64 (/.f64 (+.f64 1 (.f64 -15625 (pow.f64 v 12))) (+.f64 1 (fma.f64 625 (pow.f64 v 8) (.f64 (pow.f64 v 4) 25)))) (fma.f64 5 (*.f64 v v) 1))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 125 (pow.f64 v 6)) (.f64 125 (pow.f64 v 6)))) (/.f64 1 (+.f64 (.f64 25 (pow.f64 v 4)) (+.f64 1 (.f64 5 (.f64 v v)))))) (+.f64 1 (.f64 125 (pow.f64 v 6))))
(/.f64 (-.f64 1 (.f64 15625 (.f64 (pow.f64 v 6) (pow.f64 v 6)))) (.f64 (+.f64 1 (.f64 (pow.f64 v 6) 125)) (fma.f64 25 (pow.f64 v 4) (+.f64 1 (.f64 5 (.f64 v v))))))
(/.f64 (+.f64 1 (.f64 -15625 (pow.f64 v 12))) (.f64 (fma.f64 (pow.f64 v 6) 125 1) (fma.f64 (pow.f64 v 4) 25 (fma.f64 5 (*.f64 v v) 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 125 (pow.f64 v 6)) 3)) (/.f64 1 (+.f64 (.f64 25 (pow.f64 v 4)) (+.f64 1 (.f64 5 (.f64 v v)))))) (+.f64 1 (+.f64 (.f64 125 (pow.f64 v 6)) (.f64 (.f64 125 (pow.f64 v 6)) (*.f64 125 (pow.f64 v 6))))))
(/.f64 (-.f64 1 (.f64 1953125 (pow.f64 (pow.f64 v 6) 3))) (.f64 (fma.f64 25 (pow.f64 v 4) (+.f64 1 (.f64 5 (.f64 v v)))) (+.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 v 6) 125)) (*.f64 (pow.f64 v 6) 125)))))
(/.f64 (+.f64 1 (.f64 -1953125 (pow.f64 (pow.f64 v 6) 3))) (.f64 (fma.f64 (pow.f64 v 4) 25 (fma.f64 5 (.f64 v v) 1)) (+.f64 (fma.f64 (pow.f64 v 6) 125 1) (.f64 15625 (pow.f64 v 12)))))
(pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 1)
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) 2)
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -5))) 3)
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(pow.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 3) 1/3)
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 2))
(fabs.f64 (fma.f64 -5 (*.f64 v v) 1))
(log.f64 (exp.f64 (+.f64 1 (.f64 (.f64 v v) -5))))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (.f64 (.f64 v v) -5)))))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -5)) 3))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)
(expm1.f64 (log.f64 (+.f64 2 (.f64 (.f64 v v) -5))))
(expm1.f64 (log.f64 (+.f64 2 (.f64 v (.f64 v -5)))))
(expm1.f64 (log.f64 (fma.f64 -5 (*.f64 v v) 2)))
(exp.f64 (log1p.f64 (.f64 (.f64 v v) -5)))
(exp.f64 (log1p.f64 (.f64 v (.f64 v -5))))
(exp.f64 (.f64 (log1p.f64 (.f64 (*.f64 v v) -5)) 1))
(exp.f64 (log1p.f64 (.f64 v (.f64 v -5))))
(log1p.f64 (expm1.f64 (+.f64 1 (.f64 (.f64 v v) -5))))
(fma.f64 (*.f64 v v) -5 1)
(fma.f64 -5 (*.f64 v v) 1)

eval140.0ms (1.2%)

Compiler: Compiled 7883 to 5443 computations (31% saved)

prune46.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	305	4	309
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	305	5	310

Accurracy

99.2%

Counts

310 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
▶	96.8%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
▶	98.4%	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	99.1%	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	98.0%	(acos.f64 -1)

Compiler

Compiled 75 to 55 computations (26.7% saved)

localize2.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 4 (*.f64 v v) -1)
✓	99.1%	(acos.f64 (fma.f64 4 (*.f64 v v) -1))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(fma.f64 4 (*.f64 v v) -1)
0.0ms	v	@	inf	(fma.f64 4 (*.f64 v v) -1)
0.0ms	v	@	0	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
0.0ms	v	@	-inf	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
0.0ms	v	@	inf	(acos.f64 (fma.f64 4 (*.f64 v v) -1))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`add-sqr-sqrt`
1736×	`*-un-lft-identity`
1606×	`add-cube-cbrt`
1592×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	200	34
2	2191	34

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(fma.f64 4 (*.f64 v v) -1)

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

Outputs

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

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1566×	`associate-/l*`
1350×	`associate-/r*`
976×	`*-commutative`
868×	`associate-+r+`
746×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1473
1	271	1423
2	1181	1417
3	3844	1417

Stop Event

1×	node limit

Counts

69 → 65

Calls

Call 1

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

Outputs
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 1 (acos.f64 (fma.f64 4 (.f64 v v) -1)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 1/4 (PI.f64))) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/4)) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (PI.f64) (.f64 1/4 (PI.f64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3) 1/3)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log.f64 (exp.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(+.f64 -1 (.f64 4 (.f64 v v)))
(fma.f64 4 (*.f64 v v) -1)
(+.f64 (.f64 4 (.f64 v v)) -1)
(fma.f64 4 (*.f64 v v) -1)
(+.f64 (.f64 (.f64 4 (*.f64 v v)) 1) -1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 4 (*.f64 v v) -1))) 1)
(fma.f64 4 (*.f64 v v) -1)
(.f64 (fma.f64 4 (.f64 v v) -1) 1)
(fma.f64 4 (*.f64 v v) -1)
(.f64 1 (fma.f64 4 (.f64 v v) -1))
(fma.f64 4 (*.f64 v v) -1)
(.f64 (sqrt.f64 (fma.f64 4 (.f64 v v) -1)) (sqrt.f64 (fma.f64 4 (*.f64 v v) -1)))
(fma.f64 4 (*.f64 v v) -1)
(.f64 (cbrt.f64 (fma.f64 4 (.f64 v v) -1)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(fma.f64 4 (*.f64 v v) -1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 v v) -1)) 2) (cbrt.f64 (fma.f64 4 (*.f64 v v) -1)))
(fma.f64 4 (*.f64 v v) -1)
(/.f64 (-.f64 (.f64 (.f64 4 (.f64 v v)) (.f64 4 (.f64 v v))) 1) (-.f64 (.f64 4 (*.f64 v v)) -1))
(/.f64 (+.f64 (.f64 16 (.f64 (.f64 v v) (.f64 v v))) -1) (fma.f64 4 (*.f64 v v) 1))
(/.f64 (fma.f64 16 (pow.f64 v 4) -1) (fma.f64 4 (*.f64 v v) 1))
(/.f64 (+.f64 (pow.f64 (.f64 4 (.f64 v v)) 3) -1) (+.f64 (.f64 (.f64 4 (.f64 v v)) (.f64 4 (.f64 v v))) (-.f64 1 (.f64 (.f64 4 (.f64 v v)) -1))))
(/.f64 (+.f64 -1 (.f64 64 (pow.f64 (.f64 v v) 3))) (+.f64 (.f64 16 (.f64 (.f64 v v) (.f64 v v))) (-.f64 1 (.f64 4 (.f64 (*.f64 v v) -1)))))
(/.f64 (fma.f64 64 (pow.f64 (.f64 v v) 3) -1) (fma.f64 16 (pow.f64 v 4) (fma.f64 4 (.f64 v v) 1)))
(/.f64 (fma.f64 64 (pow.f64 v 6) -1) (fma.f64 16 (pow.f64 v 4) (fma.f64 4 (*.f64 v v) 1)))
(pow.f64 (fma.f64 4 (*.f64 v v) -1) 1)
(fma.f64 4 (*.f64 v v) -1)
(pow.f64 (sqrt.f64 (fma.f64 4 (*.f64 v v) -1)) 2)
(fma.f64 4 (*.f64 v v) -1)
(pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 v v) -1)) 3)
(fma.f64 4 (*.f64 v v) -1)
(pow.f64 (pow.f64 (fma.f64 4 (*.f64 v v) -1) 3) 1/3)
(fma.f64 4 (*.f64 v v) -1)
(sqrt.f64 (pow.f64 (fma.f64 4 (*.f64 v v) -1) 2))
(fma.f64 4 (*.f64 v v) -1)
(log.f64 (exp.f64 (fma.f64 4 (*.f64 v v) -1)))
(fma.f64 4 (*.f64 v v) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (*.f64 v v) -1))))
(fma.f64 4 (*.f64 v v) -1)
(cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 v v) -1) 3))
(fma.f64 4 (*.f64 v v) -1)
(expm1.f64 (log1p.f64 (fma.f64 4 (*.f64 v v) -1)))
(fma.f64 4 (*.f64 v v) -1)
(exp.f64 (log.f64 (fma.f64 4 (*.f64 v v) -1)))
(fma.f64 4 (*.f64 v v) -1)
(exp.f64 (.f64 (log.f64 (fma.f64 4 (.f64 v v) -1)) 1))
(fma.f64 4 (*.f64 v v) -1)
(log1p.f64 (expm1.f64 (fma.f64 4 (*.f64 v v) -1)))
(fma.f64 4 (*.f64 v v) -1)

localize44.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 v v) -5)
✓	99.1%	(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
✓	98.5%	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
✓	98.5%	(cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))

Compiler

Compiled 111 to 70 computations (36.9% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
2.0ms	v	@	inf	(cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
1.0ms	v	@	-inf	(cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
1.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
0.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`associate-*r/`
1024×	`associate-*l/`
780×	`associate-/r*`
628×	`associate-/l*`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	138
1	350	126
2	4155	126

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

Inputs
(cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(.f64 (.f64 v v) -5)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -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 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 v (.f64 v -5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v (.f64 v -5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (.f64 v -5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 v (.f64 v -5) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (.f64 5 (.f64 v v)))) (+.f64 (/.f64 (.f64 (pow.f64 v 4) 25) (+.f64 1 (.f64 5 (.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 -5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 v v) 3) -125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 v 4) 25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -5))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 v v) 3) -125))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (.f64 v -5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v -5))))))))

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-/l*`
802×	`distribute-lft-in`
782×	`distribute-rgt-in`
762×	`+-commutative`
674×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	5837
1	473	5607
2	1706	5561
3	5934	5561

Stop Event

1×	node limit

Counts

137 → 131

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 2) 1/3)
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 1)
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(fabs.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 1)
(.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1)
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 4)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) 1) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 1 (-.f64 (.f64 v (.f64 v -5)) 1))
(+.f64 (.f64 v (.f64 v -5)) 0)
(-.f64 (fma.f64 v (*.f64 v -5) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 v (*.f64 v -5) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 5 (.f64 v v)))) (+.f64 (/.f64 (.f64 (pow.f64 v 4) 25) (+.f64 1 (.f64 5 (*.f64 v v)))) 1))
(pow.f64 (.f64 v (.f64 v -5)) 1)
(pow.f64 (*.f64 v (sqrt.f64 -5)) 2)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v -5))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 v v) 3) -125) 1/3)
(sqrt.f64 (*.f64 (pow.f64 v 4) 25))
(log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -5))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -5)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 v v) 3) -125))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -5))))
(exp.f64 (log.f64 (.f64 v (.f64 v -5))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v -5))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -5))))

Outputs
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))) 1/3)
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(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) 1) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (PI.f64) (.f64 1/4 (PI.f64)) (.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))) (.f64 (PI.f64) (.f64 (PI.f64) 1/4))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(+.f64 1 (-.f64 (.f64 v (.f64 v -5)) 1))
(.f64 -5 (.f64 v v))
(+.f64 (.f64 v (.f64 v -5)) 0)
(.f64 -5 (.f64 v v))
(-.f64 (fma.f64 v (*.f64 v -5) 1) 1)
(.f64 -5 (.f64 v v))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 v (*.f64 v -5) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 v (*.f64 -5 v) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -5 (*.f64 v v) 1))) -2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 5 (.f64 v v)))) (+.f64 (/.f64 (.f64 (pow.f64 v 4) 25) (+.f64 1 (.f64 5 (*.f64 v v)))) 1))
(-.f64 (/.f64 1 (+.f64 1 (.f64 5 (.f64 v v)))) (+.f64 1 (/.f64 (pow.f64 v 4) (/.f64 (+.f64 1 (.f64 5 (.f64 v v))) 25))))
(-.f64 (-.f64 (/.f64 1 (fma.f64 5 (.f64 v v) 1)) 1) (.f64 (/.f64 (pow.f64 v 4) (fma.f64 5 (*.f64 v v) 1)) 25))
(-.f64 (/.f64 1 (fma.f64 5 (.f64 v v) 1)) (fma.f64 (/.f64 (pow.f64 v 4) (fma.f64 5 (.f64 v v) 1)) 25 1))
(pow.f64 (.f64 v (.f64 v -5)) 1)
(.f64 -5 (.f64 v v))
(pow.f64 (*.f64 v (sqrt.f64 -5)) 2)
(.f64 -5 (.f64 v v))
(pow.f64 (cbrt.f64 (.f64 v (.f64 v -5))) 3)
(.f64 -5 (.f64 v v))
(pow.f64 (.f64 (pow.f64 (.f64 v v) 3) -125) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 v v) 3) -125))
(cbrt.f64 (*.f64 (pow.f64 v 6) -125))
(sqrt.f64 (*.f64 (pow.f64 v 4) 25))
(log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -5))
(.f64 -5 (.f64 v v))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -5)))))
(.f64 -5 (.f64 v v))
(cbrt.f64 (.f64 (pow.f64 (.f64 v v) 3) -125))
(cbrt.f64 (*.f64 (pow.f64 v 6) -125))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -5))))
(.f64 -5 (.f64 v v))
(exp.f64 (log.f64 (.f64 v (.f64 v -5))))
(.f64 -5 (.f64 v v))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v -5))) 1))
(.f64 -5 (.f64 v v))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -5))))
(.f64 -5 (.f64 v v))

localize28.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(.f64 (.f64 v v) -5)
	99.1%	(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
✓	98.5%	(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
✓	98.5%	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)

Compiler

Compiled 80 to 49 computations (38.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
1.0ms	v	@	inf	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
1.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
0.0ms	v	@	inf	(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
0.0ms	v	@	0	(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`associate-*r/`
1024×	`associate-*l/`
780×	`associate-/r*`
628×	`associate-/l*`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	353	70
2	3981	70

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))))

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-+l+`
702×	`unswap-sqr`
596×	`associate-/l*`
564×	`distribute-lft-neg-in`
492×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	3896
1	286	3438
2	983	3430
3	4023	3430

Stop Event

1×	node limit

Counts

76 → 74

Calls

Call 1

Inputs
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(+.f64 (.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 1/2 (PI.f64)))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4))
(.f64 (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (-.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) 1) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 1)
(.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/2)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(exp.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

Outputs
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(+.f64 (.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(+.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 1/2 (PI.f64)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
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(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (fma.f64 v v -1)))) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/2)
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4) 2)
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3/2))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))) 3/2))
(fabs.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(log.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3/2))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(exp.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))

eval334.0ms (2.9%)

Compiler: Compiled 14740 to 10604 computations (28.1% saved)

prune101.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	434	9	443
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	437	11	448

Accurracy

99.2%

Counts

448 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.9%	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 2)
▶	96.9%	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
▶	96.2%	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
	96.1%	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2)) 2)
▶	99.1%	(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
▶	96.0%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	96.8%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -5))) (fma.f64 v v -1)))))
	98.4%	(exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
✓	99.1%	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	98.4%	(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
✓	98.0%	(acos.f64 -1)

Compiler

Compiled 440 to 335 computations (23.9% saved)

localize172.0ms (1.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.1%	(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	98.5%	(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
✓	98.5%	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
✓	98.4%	(pow.f64 (*.f64 1/2 (PI.f64)) 3)

Compiler

Compiled 288 to 203 computations (29.5% saved)

series10.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
2.0ms	v	@	inf	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
2.0ms	v	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
2.0ms	v	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
1.0ms	v	@	-inf	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)

rewrite297.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`add-sqr-sqrt`
578×	`*-un-lft-identity`
574×	`pow1`
558×	`add-cbrt-cube`
558×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	262
1	603	120

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (PI.f64) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (.f64 1/2 (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (PI.f64)) (.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (.f64 1/2 (PI.f64)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4)) (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4))) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/2 (PI.f64)) 1/4) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 (PI.f64) 1/4)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 1/2 (PI.f64)))) (sqrt.f64 (.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) 3) (pow.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/2 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/8 (pow.f64 (PI.f64) 3))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))

simplify193.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1694×	`distribute-rgt-in`
1688×	`distribute-lft-in`
654×	`associate-r`
524×	`associate-*r/`
500×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	13668
1	842	13368
2	3805	12308

Stop Event

1×	node limit

Counts

172 → 189

Calls

Call 1

Inputs
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))) 1)
(.f64 1/2 (.f64 (PI.f64) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 1/2 (PI.f64))))
(.f64 (PI.f64) (.f64 1/2 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/2 (PI.f64)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) 1)
(.f64 1 (.f64 1/8 (pow.f64 (PI.f64) 3)))
(.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/2 (PI.f64)))
(.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3/2) (pow.f64 (*.f64 1/2 (PI.f64)) 3/2))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4)) (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 1/2 (PI.f64))))
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 2) (*.f64 1/2 (PI.f64))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(.f64 (.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/2))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(.f64 (.f64 (.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 (.f64 1/2 (PI.f64)) 4))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (*.f64 1/2 (PI.f64)) 1/4) (pow.f64 (PI.f64) 2))
(.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 (PI.f64) 1/4)) (PI.f64))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/2) (PI.f64))
(.f64 (.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (PI.f64)) 1/2)
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 1/2 (PI.f64)))) (sqrt.f64 (*.f64 1/2 (PI.f64))))
(.f64 (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) 3) (pow.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) 3))
(sqrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 6))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 1/2 (PI.f64)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))) 1)
(.f64 1 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 1)
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(.f64 (/.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 2)) (/.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (cbrt.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) 2) (hypot.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (hypot.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 2)) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)
(pow.f64 (/.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1)
(neg.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (neg.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) 3) (pow.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (hypot.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(fma.f64 1 (.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(fma.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (.f64 1/2 (PI.f64))) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (.f64 1/2 (PI.f64))) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)
(.f64 1 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)
(.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(fabs.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

Outputs
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
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(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (fabs.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (+.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (.f64 (.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(fabs.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(exp.f64 (.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 4 (.f64 v v)) -1)
✓	99.9%	(.f64 4 (.f64 v v))
✓	99.1%	(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))

Compiler

Compiled 27 to 15 computations (44.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 4 (.f64 v v))
0.0ms	v	@	0	(.f64 4 (.f64 v v))
0.0ms	v	@	0	(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
0.0ms	v	@	inf	(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
0.0ms	v	@	-inf	(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`*-commutative`
594×	`frac-times`
570×	`unswap-sqr`
522×	`swap-sqr`
368×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	215	47
2	2561	47

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs
(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
(.f64 4 (.f64 v v))
(+.f64 (.f64 4 (.f64 v v)) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -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 (fma.f64 (*.f64 4 v) v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 3) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 2)) (/.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2)) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2)) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 3/2) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 2)) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 3)) 1) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (*.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 v 2) 4))) (sqrt.f64 (fma.f64 (*.f64 4 v) v -1))) (sqrt.f64 (fma.f64 4 (*.f64 v v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 (pow.f64 v 6) 64))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 4 v) v -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (*.f64 v 2) 4))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 4 v) v -1)) 2)) (cbrt.f64 (fma.f64 4 (*.f64 v v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 256 (pow.f64 v 8)) -1) (/.f64 1 (fma.f64 4 (*.f64 v v) 1))) (+.f64 1 (pow.f64 (*.f64 v 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 v 2) 4) 3) -1) (/.f64 1 (fma.f64 4 (*.f64 v v) 1))) (+.f64 (*.f64 256 (pow.f64 v 8)) (+.f64 1 (pow.f64 (*.f64 v 2) 4))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 v 2) 4) 3) -1) 1) (*.f64 (+.f64 (*.f64 256 (pow.f64 v 8)) (+.f64 1 (pow.f64 (*.f64 v 2) 4))) (fma.f64 4 (*.f64 v v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 4 v) v -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 4 v) v -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 4 v) v -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 v 2) 4)) (+.f64 (*.f64 (*.f64 v v) -4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (*.f64 (pow.f64 v 6) 64)) (neg.f64 (+.f64 (pow.f64 (*.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 4 v) v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 2 (log.f64 (*.f64 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 4 v) v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 4 v) v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 v v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) 4 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (*.f64 v v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v 2) (*.f64 v 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 v 2) 4)) (cbrt.f64 (*.f64 4 (*.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 v) v -1)))))

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1558×	`associate-/l/`
1456×	`associate-/r/`
650×	`associate-+r+`
622×	`associate-+l+`
524×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	9011
1	1292	8577
2	4602	8541

Stop Event

1×	node limit

Counts

219 → 259

Calls

Call 1

Inputs
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
(*.f64 4 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(*.f64 4 (pow.f64 v 2))
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(*.f64 4 (pow.f64 v 2))
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) 1))
(+.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) -1)
(+.f64 (neg.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1))) (.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 (*.f64 4 v) v -1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 2) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))
(-.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))))
(.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)) 1)
(.f64 1 (acos.f64 (fma.f64 (.f64 4 v) v -1)))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 2)) (/.f64 1 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2))))
(.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))))) (.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))))
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(/.f64 (.f64 1 (-.f64 1 (pow.f64 (.f64 v 2) 4))) (+.f64 -1 (.f64 (.f64 v v) -4)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 4 v) v -1)) (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 4 v) v -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)))) (sqrt.f64 (fma.f64 4 (.f64 v v) 1)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 4 v) v -1)) 2) (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 4 v) v -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)))) (cbrt.f64 (fma.f64 4 (.f64 v v) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 v 2) 4)) 1) (+.f64 -1 (.f64 (.f64 v v) -4)))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4))) 1) (+.f64 (.f64 (.f64 v v) -4) -1))
(/.f64 (.f64 (+.f64 1 (neg.f64 (.f64 (pow.f64 v 6) 64))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64))) (sqrt.f64 (fma.f64 (.f64 4 v) v -1))) (sqrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4))) (sqrt.f64 (fma.f64 (.f64 4 v) v -1))) (sqrt.f64 (fma.f64 4 (.f64 v v) 1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 4 v) v -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 4 v) v -1)) 2)) (cbrt.f64 (fma.f64 4 (.f64 v v) 1)))
(/.f64 (.f64 (+.f64 (.f64 256 (pow.f64 v 8)) -1) (/.f64 1 (fma.f64 4 (.f64 v v) 1))) (+.f64 1 (pow.f64 (.f64 v 2) 4)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 v 2) 4) 3) -1) (/.f64 1 (fma.f64 4 (.f64 v v) 1))) (+.f64 (.f64 256 (pow.f64 v 8)) (+.f64 1 (pow.f64 (*.f64 v 2) 4))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 v v) 6) 4096) -1) (/.f64 1 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)))) (+.f64 (.f64 (pow.f64 v 6) 64) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (.f64 (pow.f64 v 6) 64) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)))) (+.f64 (.f64 (pow.f64 (.f64 v v) 6) 4096) (-.f64 1 (.f64 -1 (.f64 (pow.f64 v 6) 64)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)) 1) (fma.f64 4 (.f64 v v) 1))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)) (sqrt.f64 (fma.f64 4 (.f64 v v) 1))) (sqrt.f64 (fma.f64 4 (*.f64 v v) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)) (.f64 (cbrt.f64 (fma.f64 4 (.f64 v v) 1)) (cbrt.f64 (fma.f64 4 (.f64 v v) 1)))) (cbrt.f64 (fma.f64 4 (*.f64 v v) 1)))
(/.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)) 1) (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1)))
(/.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1))) (cbrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4))) (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)))) (.f64 (sqrt.f64 (fma.f64 4 (.f64 v v) 1)) (sqrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64))) (sqrt.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1))) (sqrt.f64 (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (-.f64 (.f64 (pow.f64 v 6) 64) 1) (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1))) (.f64 (/.f64 1 (fma.f64 4 (.f64 v v) 1)) (/.f64 1 (fma.f64 4 (.f64 v v) 1)))) (+.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (/.f64 1 (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) 3) (pow.f64 (/.f64 1 (fma.f64 4 (.f64 v v) 1)) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1))) (+.f64 (.f64 (/.f64 1 (fma.f64 4 (.f64 v v) 1)) (/.f64 1 (fma.f64 4 (.f64 v v) 1))) (.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (/.f64 1 (fma.f64 4 (*.f64 v v) 1))))))
(/.f64 (-.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (.f64 (pow.f64 v 6) 64)) (fma.f64 4 (.f64 v v) 1)) (pow.f64 (fma.f64 4 (.f64 v v) 1) 2))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 v v) 6) 4096) -1) 1) (.f64 (+.f64 (.f64 (pow.f64 v 6) 64) 1) (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (.f64 (pow.f64 v 6) 64) 3)) 1) (.f64 (+.f64 (.f64 (pow.f64 (.f64 v v) 6) 4096) (-.f64 1 (.f64 -1 (.f64 (pow.f64 v 6) 64)))) (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (.f64 (+.f64 (.f64 256 (pow.f64 v 8)) -1) 1) (.f64 (+.f64 1 (pow.f64 (.f64 v 2) 4)) (fma.f64 4 (*.f64 v v) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 v 2) 4) 3) -1) 1) (.f64 (+.f64 (.f64 256 (pow.f64 v 8)) (+.f64 1 (pow.f64 (.f64 v 2) 4))) (fma.f64 4 (.f64 v v) 1)))
(pow.f64 (fma.f64 (*.f64 4 v) v -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 4 v) v -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 4 v) v -1)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 3) 1/3)
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)) (+.f64 (.f64 (*.f64 v v) -4) -1)))
(neg.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)) (neg.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1)))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 4 v) v -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 4 v) v -1))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 3))
(expm1.f64 (.f64 2 (log.f64 (.f64 v 2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 4 v) v -1)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 4 v) v -1)))
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (*.f64 v v) 4 -1)
(fma.f64 1 (.f64 4 (.f64 v v)) -1)
(fma.f64 (.f64 v 2) (.f64 v 2) -1)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 v 2) 4)) (cbrt.f64 (.f64 4 (*.f64 v v))) -1)
(fma.f64 (*.f64 4 v) v -1)

Outputs
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(*.f64 4 (pow.f64 v 2))
(.f64 4 (.f64 v v))
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(+.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) -1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(+.f64 (neg.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1))) (.f64 (PI.f64) 1/2))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 (*.f64 4 v) v -1)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 2) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(-.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 1 (acos.f64 (fma.f64 (.f64 4 v) v -1)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 2)) (/.f64 1 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (.f64 4 v) v -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))) 2))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) 3) (/.f64 1 (pow.f64 (fma.f64 4 (.f64 v v) 1) 3))) (fma.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (.f64 (/.f64 1 (fma.f64 4 (.f64 v v) 1)) (+.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (/.f64 1 (fma.f64 4 (.f64 v v) 1))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) 3) (/.f64 -1 (pow.f64 (fma.f64 4 (.f64 v v) 1) 3))) (fma.f64 (/.f64 1 (fma.f64 4 (.f64 v v) 1)) (+.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) (/.f64 1 (fma.f64 4 (.f64 v v) 1))) (/.f64 (/.f64 (pow.f64 (.f64 v 2) 8) (fma.f64 4 (.f64 v v) 1)) (fma.f64 4 (.f64 v v) 1))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (.f64 v v) 1)) 3) (/.f64 -1 (pow.f64 (fma.f64 4 (.f64 v v) 1) 3))) (+.f64 (/.f64 1 (pow.f64 (fma.f64 4 (.f64 v v) 1) 2)) (+.f64 (/.f64 (pow.f64 (.f64 v 2) 8) (pow.f64 (fma.f64 4 (.f64 v v) 1) 2)) (/.f64 (pow.f64 (.f64 v 2) 4) (pow.f64 (fma.f64 4 (.f64 v v) 1) 2)))))
(/.f64 (-.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (.f64 (pow.f64 v 6) 64)) (fma.f64 4 (.f64 v v) 1)) (pow.f64 (fma.f64 4 (.f64 v v) 1) 2))
(/.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (-.f64 (.f64 (pow.f64 v 6) 64) (fma.f64 4 (.f64 v v) 1))) (pow.f64 (fma.f64 4 (.f64 v v) 1) 2))
(/.f64 (-.f64 (fma.f64 (pow.f64 v 6) 64 (pow.f64 (.f64 v 2) 4)) (fma.f64 4 (.f64 v v) 1)) (pow.f64 (fma.f64 4 (*.f64 v v) 1) 2))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 v v) 6) 4096) -1) 1) (.f64 (+.f64 (.f64 (pow.f64 v 6) 64) 1) (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (fma.f64 (pow.f64 (.f64 v v) 6) 4096 -1) (.f64 (+.f64 (fma.f64 4 (.f64 v v) 1) (pow.f64 (.f64 v 2) 4)) (fma.f64 (pow.f64 v 6) 64 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (.f64 (pow.f64 v 6) 64) 3)) 1) (.f64 (+.f64 (.f64 (pow.f64 (.f64 v v) 6) 4096) (-.f64 1 (.f64 -1 (.f64 (pow.f64 v 6) 64)))) (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1))))
(/.f64 (+.f64 -1 (pow.f64 (.f64 (pow.f64 v 6) 64) 3)) (.f64 (+.f64 (fma.f64 4 (.f64 v v) 1) (pow.f64 (.f64 v 2) 4)) (fma.f64 (pow.f64 (.f64 v v) 6) 4096 (-.f64 1 (.f64 (pow.f64 v 6) -64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 v 6) 3) 262144 -1) (.f64 (+.f64 (fma.f64 4 (.f64 v v) 1) (pow.f64 (.f64 v 2) 4)) (fma.f64 (pow.f64 (.f64 v v) 6) 4096 (fma.f64 (pow.f64 v 6) 64 1))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 v 6) 3) 262144 -1) (+.f64 (fma.f64 4 (.f64 v v) 1) (pow.f64 (.f64 v 2) 4))) (fma.f64 (pow.f64 (*.f64 v v) 6) 4096 (fma.f64 (pow.f64 v 6) 64 1)))
(/.f64 (.f64 (+.f64 (.f64 256 (pow.f64 v 8)) -1) 1) (.f64 (+.f64 1 (pow.f64 (.f64 v 2) 4)) (fma.f64 4 (*.f64 v v) 1)))
(/.f64 (/.f64 (fma.f64 256 (pow.f64 v 8) -1) (fma.f64 4 (.f64 v v) 1)) (+.f64 1 (pow.f64 (.f64 v 2) 4)))
(/.f64 (fma.f64 256 (pow.f64 v 8) -1) (.f64 (fma.f64 4 (.f64 v v) 1) (+.f64 1 (pow.f64 (*.f64 v 2) 4))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 v 2) 4) 3) -1) 1) (.f64 (+.f64 (.f64 256 (pow.f64 v 8)) (+.f64 1 (pow.f64 (.f64 v 2) 4))) (fma.f64 4 (.f64 v v) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (.f64 v 2) 4) 3)) (fma.f64 256 (pow.f64 v 8) (+.f64 1 (pow.f64 (.f64 v 2) 4)))) (fma.f64 4 (*.f64 v v) 1))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (.f64 v 2) 4) 3)) (.f64 (fma.f64 4 (.f64 v v) 1) (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 256 (pow.f64 v 8) 1))))
(pow.f64 (fma.f64 (*.f64 4 v) v -1) 1)
(fma.f64 4 (*.f64 v v) -1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 4 v) v -1)) 2)
(fma.f64 4 (*.f64 v v) -1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 4 v) v -1)) 3)
(fma.f64 4 (*.f64 v v) -1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 3) 1/3)
(fma.f64 4 (*.f64 v v) -1)
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (.f64 v 2) 4)) (+.f64 (.f64 (*.f64 v v) -4) -1)))
(/.f64 (-.f64 1 (pow.f64 (.f64 v 2) 4)) (fma.f64 (.f64 v v) -4 -1))
(/.f64 (-.f64 1 (pow.f64 (.f64 v 2) 4)) (fma.f64 v (.f64 v -4) -1))
(neg.f64 (/.f64 (+.f64 -1 (.f64 (pow.f64 v 6) 64)) (neg.f64 (+.f64 (pow.f64 (.f64 v 2) 4) (fma.f64 4 (*.f64 v v) 1)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 v 6) -64)) (neg.f64 (+.f64 (fma.f64 4 (.f64 v v) 1) (pow.f64 (*.f64 v 2) 4))))
(/.f64 (fma.f64 (pow.f64 v 6) -64 1) (-.f64 (neg.f64 (fma.f64 4 (.f64 v v) 1)) (pow.f64 (.f64 v 2) 4)))
(/.f64 (fma.f64 (pow.f64 v 6) -64 1) (-.f64 (neg.f64 (pow.f64 (.f64 v 2) 4)) (fma.f64 4 (.f64 v v) 1)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 2))
(sqrt.f64 (pow.f64 (fma.f64 4 (*.f64 v v) -1) 2))
(fabs.f64 (fma.f64 4 (*.f64 v v) -1))
(log.f64 (exp.f64 (fma.f64 (*.f64 4 v) v -1)))
(fma.f64 4 (*.f64 v v) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 4 v) v -1))))
(fma.f64 4 (*.f64 v v) -1)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 4 v) v -1) 3))
(fma.f64 4 (*.f64 v v) -1)
(expm1.f64 (.f64 2 (log.f64 (.f64 v 2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 4 v) v -1)))
(fma.f64 4 (*.f64 v v) -1)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 4 v) v -1)))
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (*.f64 v v) 4 -1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 1 (.f64 4 (.f64 v v)) -1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (.f64 v 2) (.f64 v 2) -1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 v 2) 4)) (cbrt.f64 (.f64 4 (*.f64 v v))) -1)
(fma.f64 (*.f64 4 v) v -1)
(fma.f64 4 (*.f64 v v) -1)

localize31.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(fma.f64 4 (*.f64 v v) -1)
	99.1%	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	98.5%	(sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
✓	98.5%	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)

Compiler

Compiled 39 to 24 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
0.0ms	v	@	inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
0.0ms	v	@	0	(sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
0.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
0.0ms	v	@	inf	(sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`cbrt-prod`
824×	`*-commutative`
744×	`sqrt-prod`
546×	`unswap-sqr`
486×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	261	42
2	2586	42

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1))) (*.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 2) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 3) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) (*.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2)) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3/4) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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(-.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (*.f64 (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1))) (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)))) (*.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) (+.f64 1 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (pow.f64 (acos.f64 (fma.f64 4 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4)) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 3))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) (+.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))))

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1100×	`unswap-sqr`
826×	`*-commutative`
798×	`distribute-lft-in`
762×	`distribute-rgt-in`
656×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	5179
1	541	5107
2	1986	4925
3	6944	4925

Stop Event

1×	node limit

Counts

113 → 137

Calls

Call 1

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

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

localize51.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.1%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	98.5%	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	98.5%	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
✓	98.5%	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

Compiler

Compiled 101 to 71 computations (29.7% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
0.0ms	v	@	-inf	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
0.0ms	v	@	0	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
0.0ms	v	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.0ms	v	@	-inf	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`swap-sqr`
730×	`associate-*r/`
640×	`associate-/r*`
580×	`associate-*l/`
494×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	140
1	362	140
2	3660	140

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (.f64 (pow.f64 1 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 1 1/2)) (.f64 -1 (pow.f64 1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1)) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1)) (+.f64 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-1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))

simplify150.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-*r/`
860×	`+-commutative`
716×	`*-commutative`
466×	`associate-/r*`
460×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	11336
1	437	11192
2	2042	10736
3	6780	10736

Stop Event

1×	node limit

Counts

204 → 96

Calls

Call 1

Inputs
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(+.f64 1 (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1))
(+.f64 1 (-.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(+.f64 -1 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 0)
(+.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) -1)
(+.f64 (.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (*.f64 (pow.f64 1 1/2) -1))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 1 1/2)) (*.f64 -1 (pow.f64 1 1/2)))
(-.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)
(-.f64 (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 2)
(.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))
(/.f64 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(/.f64 (.f64 1 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1)) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1)) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(/.f64 (.f64 (pow.f64 1 1/2) (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1)) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(/.f64 (.f64 (pow.f64 1 1/2) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1)) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1) 1) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1) 1) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/2)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2) 1/3)
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(fabs.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2))
(exp.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))
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(exp.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(+.f64 (.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 1/2 (PI.f64)))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (.f64 (.f64 1/2 (PI.f64)) 1) (.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 -1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(+.f64 (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4))
(.f64 (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2)) (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/2)))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1)) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(/.f64 (.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1)) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

Outputs
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
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(/.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) -1)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3)) (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) -1)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 1) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(/.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) -1)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3)) (-.f64 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) -1)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

localize24.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	99.1%	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	98.5%	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
✓	98.5%	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

Compiler

Compiled 58 to 37 computations (36.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
1.0ms	v	@	inf	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
0.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
0.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
0.0ms	v	@	inf	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`*-commutative`
806×	`sqrt-prod`
636×	`unswap-sqr`
526×	`swap-sqr`
408×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	282	71
2	2842	71

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)

(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) (sqrt.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (fma.f64 4 (*.f64 v v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))))

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1332×	`distribute-lft-in`
1326×	`distribute-rgt-in`
736×	`times-frac`
652×	`associate-/l*`
430×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	254	4294972981
1	645	5511
2	2426	5511

Stop Event

1×	node limit

Counts

141 → 127

Calls

Call 1

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

Outputs
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) -1)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 1)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 1 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (sqrt.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/4) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/4))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 3))
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 6)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 3))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 3))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 1))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 1))))
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(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 1 (/.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) 1) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))) (-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (+.f64 1 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (exp.f64 (.f64 2 (log1p.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2))) (neg.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 3/2)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 6)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2) 1/2)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3) 1/3)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(fabs.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log.f64 (exp.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))

eval1.1s (9.3%)

Compiler: Compiled 42276 to 30990 computations (26.7% saved)

prune234.0ms (2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1068	14	1082
Fresh	3	1	4
Picked	0	1	1
Done	3	3	6
Total	1074	19	1093

Accurracy

99.2%

Counts

1093 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 3) 2)
	95.4%	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 3/2)
▶	94.2%	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)) 2)
	96.9%	(pow.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))) 2)
▶	96.6%	(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
▶	95.4%	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)) 2)
▶	99.1%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
	1.2%	(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 2) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))
	93.7%	(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 6) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	96.9%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	93.3%	(.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3)) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
▶	96.0%	(.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	1.3%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
✓	96.0%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	96.8%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -5))) (fma.f64 v v -1)))))
	98.4%	(exp.f64 (log.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))
✓	99.1%	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	98.4%	(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
✓	98.0%	(acos.f64 -1)

Compiler

Compiled 805 to 631 computations (21.6% saved)

localize107.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.1%	(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
✓	98.5%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
✓	98.5%	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
✓	98.4%	(pow.f64 (PI.f64) 3)

Compiler

Compiled 256 to 185 computations (27.7% saved)

series3.0ms (0%)

Counts

4 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
1.0ms	v	@	-inf	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
1.0ms	v	@	inf	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
0.0ms	v	@	inf	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
0.0ms	v	@	0	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`add-sqr-sqrt`
650×	`*-un-lft-identity`
642×	`pow1`
632×	`add-cbrt-cube`
632×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	248
1	700	248

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (cbrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (.f64 2 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 (PI.f64))) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3/2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4)) (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) 3) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 2 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (/.f64 1 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 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2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (log.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))

simplify141.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

904×	`fma-def`
762×	`+-commutative`
584×	`associate-*r/`
510×	`distribute-lft-in`
504×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	9174
1	588	9048
2	2591	8972
3	7963	8972

Stop Event

1×	node limit

Counts

92 → 132

Calls

Call 1

Inputs
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (cbrt.f64 (PI.f64)) 3))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 2 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(.f64 1 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 1)
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3/2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4)) (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(.f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) 3) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3))
(.f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3))
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)))
(exp.f64 (.f64 3 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(exp.f64 (+.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 2 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))
(.f64 1 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (/.f64 1 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))) 1)
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (sqrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
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(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(exp.f64 (-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (log.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 1 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)
(.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(fabs.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

Outputs
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))))
(.f64 (PI.f64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))))
(.f64 (PI.f64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (cbrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 2 (log.f64 (PI.f64)))))
(pow.f64 (PI.f64) 3)
(exp.f64 (+.f64 (*.f64 2 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(.f64 1 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 1)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3/2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) 4))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 7))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4)) (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) 5/2))
(.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) 5/2))
(.f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) 4))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 7))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) 3) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(.f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 6))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 3))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(exp.f64 (.f64 3 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(exp.f64 (+.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 2 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(exp.f64 (+.f64 (.f64 2 (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
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(expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(exp.f64 (-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))) (log.f64 (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(-.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 1 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/2)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(fabs.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
✓	98.4%	(sqrt.f64 (acos.f64 -1))

Compiler

Compiled 13 to 13 computations (0% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`add-sqr-sqrt`
1186×	`*-un-lft-identity`
1130×	`pow1`
1104×	`add-cube-cbrt`
1096×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	164	14
2	1521	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-def`
796×	`distribute-lft-in`
740×	`associate-+r+`
738×	`distribute-rgt-in`
706×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	887
1	212	661
2	782	439
3	2633	407
4	7430	407

Stop Event

1×	node limit

Counts

41 → 53

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)
✓	99.1%	(acos.f64 (fma.f64 (*.f64 4 v) v -1))
✓	98.5%	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)) 2)
✓	98.5%	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2))

Compiler

Compiled 53 to 41 computations (22.6% saved)

series119.0ms (1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	v	@	0	(pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)
46.0ms	v	@	-inf	(pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)
12.0ms	v	@	inf	(pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)
0.0ms	v	@	0	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2))
0.0ms	v	@	inf	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2))

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`*-commutative`
900×	`sqrt-prod`
712×	`unswap-sqr`
600×	`swap-sqr`
452×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	305	86
2	3309	86

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2))
(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)) 2)
(acos.f64 (fma.f64 (*.f64 4 v) v -1))
(pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)

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

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1136×	`fma-def`
832×	`associate-/l*`
644×	`associate-r`
630×	`times-frac`
610×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	12094
1	795	10636
2	3249	10216

Stop Event

1×	node limit

Counts

236 → 205

Calls

Call 1

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

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

localize310.0ms (2.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.1%	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	98.5%	(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 2)
✓	98.5%	(cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
	98.5%	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
0.0ms	v	@	inf	(cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
0.0ms	v	@	inf	(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 2)
0.0ms	v	@	0	(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 2)
0.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 2)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`*-commutative`
846×	`sqrt-prod`
636×	`unswap-sqr`
550×	`swap-sqr`
434×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	287	52
2	2950	52

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 2)

Outputs

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

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1622×	`associate-/r*`
1120×	`unswap-sqr`
762×	`associate-+r+`
678×	`associate-+l+`
464×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	3261
1	347	2915
2	1160	2771
3	4382	2771

Stop Event

1×	node limit

Counts

89 → 84

Calls

Call 1

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

Outputs
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) -1)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 1)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 1 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (sqrt.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))
(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))
(.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))
(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 4)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 1/4))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3/2))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 5)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 1))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (exp.f64 (.f64 2 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))))))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 1/2)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 2)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2/3)
(.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3)
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(fabs.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(fabs.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))) -1)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))) 1)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) 1)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 4))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2)))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6)) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) (.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6)))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 4))
(.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6)))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2) 3/2))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 2) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2) 1/6))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 4))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) 1))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)) (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) (exp.f64 (.f64 2 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))) (pow.f64 (exp.f64 2) (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 4))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(fabs.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2/3))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)

localize84.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)) 2)
✓	98.5%	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
	98.5%	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
✓	97.6%	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)

Compiler

Compiled 132 to 93 computations (29.5% saved)

series47.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	v	@	0	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)
15.0ms	v	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)
0.0ms	v	@	0	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)) 2)
0.0ms	v	@	inf	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)) 2)
0.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`unswap-sqr`
796×	`swap-sqr`
574×	`sqr-pow`
390×	`distribute-rgt-in`
376×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	113
1	436	69
2	4555	69

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)

(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))

(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)) 2)

Outputs

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simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1750×	`associate-+r+`
1078×	`+-commutative`
1066×	`distribute-lft-in`
1056×	`distribute-rgt-in`
714×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	7375
1	754	5981
2	2607	5891
3	6935	5891

Stop Event

1×	node limit

Counts

165 → 158

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))) 1)
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))
(.f64 1 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) 1)
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3/4) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3/4))
(.f64 (pow.f64 1 3/2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 3/2))
(.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) 1/6) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6)) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12) 1/6))))
(.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24)) (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/24)))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24)) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/24)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24)) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/24)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/24)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4)) (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 3/4)))
(.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4)) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 3/4)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4)) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 3/4)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 3/4)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12)) (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/12)))
(.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12)) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/12)))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12)) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/12)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2) (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/12)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2)) (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 3/2)))
(.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2)) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/24) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 3/2)))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2)) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 3/2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) 3/2)) (.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 3/2)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/4) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/4))
(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 2) 1/24) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2) 1/24))
(sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(fabs.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))
(cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))
(exp.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 3/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))) 1)
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 1)
(.f64 1 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/12) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/12))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6)) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)) 3/2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)))) (.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12)))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 1/4) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1/4))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1/2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6)
(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)) 3)
(sqrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(fabs.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(exp.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(+.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) 1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1)
(.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1)
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2)))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 1 (acos.f64 (fma.f64 4 (.f64 v v) -1)))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2) 2))
(.f64 (.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2)) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 3/2) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3/2))
(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 3) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3) 1/6))
(/.f64 (.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (acos.f64 (fma.f64 4 (.f64 v v) -1))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (.f64 1 (.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(log.f64 (exp.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))

Outputs
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (pow.f64 v 2) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))) 1)
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))
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(.f64 1 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) 1)
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(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 2))
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(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3/2)
(.f64 (pow.f64 1 3/2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
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(.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
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(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)
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(sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
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(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
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(exp.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) 1))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) 1/3))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)
(+.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(+.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (PI.f64) 1/2))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) 1) (.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) 1))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1)
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 1 (acos.f64 (fma.f64 4 (.f64 v v) -1)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/12) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18)) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 2)))
(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 8))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2)) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (-.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (+.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (-.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 3/2) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3/2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 3) 1/6) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3) 1/6))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(/.f64 (.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (acos.f64 (fma.f64 4 (.f64 v v) -1))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (.f64 1 (.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (acos.f64 (fma.f64 4 (.f64 v v) -1)))) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1))) (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) 1) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 (.f64 (PI.f64) (PI.f64)) 1/4 (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3)) (fma.f64 1/4 (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (fma.f64 1/2 (PI.f64) (asin.f64 (fma.f64 4 (.f64 v v) -1))))))
(sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 2))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log.f64 (exp.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 3))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(log1p.f64 (expm1.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))

eval700.0ms (6%)

Compiler: Compiled 33388 to 25225 computations (24.4% saved)

prune159.0ms (1.4%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	828	8	836
Fresh	3	7	10
Picked	1	0	1
Done	1	7	8
Total	833	22	855

Accurracy

99.2%

Counts

855 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/4) 2/3) 2)
	93.9%	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 -1))) 3) 2)
	91.1%	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 2) 3)) 2)
	92.9%	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))) 1) 3)) 2)
	96.9%	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3/2)) 2)
	96.9%	(pow.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))) 2)
✓	96.6%	(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
	95.1%	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1)))) 2)
✓	95.4%	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)) 2)
✓	99.1%	(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
	1.2%	(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 2) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))
	93.7%	(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 6) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	96.9%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	96.9%	(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 8))
✓	96.0%	(.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
	1.3%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
	96.8%	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -5))) (fma.f64 v v -1)))))
	95.7%	(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
	98.4%	(exp.f64 (log.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))
✓	99.1%	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	98.4%	(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
✓	98.0%	(acos.f64 -1)

Compiler

Compiled 465 to 372 computations (20% saved)

regimes48.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
(pow.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))) 2)
(exp.f64 (log.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2)
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 -1))) 3) 2)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/2)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 3/4) 2/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1)))) 3) 2)
(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3/2)) 2)
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 2)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 8))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 6) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 3/2)) 2)
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6)) 3)) 2)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -5))) (fma.f64 v v -1)))))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 2) (+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))))
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/12)) 2) 3)) 2)
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 3) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))) 1) 3)) 2)
(.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3)) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (*.f64 v v) -1))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (+.f64 (.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Calls

4 calls:

16.0ms	v
7.0ms	(*.f64 v v)
4.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
99.1%	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 781 to 580 computations (25.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.2b remaining (-21.3%)

Threshold costs -0.2b (-21.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))

Outputs
(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))

Calls

2 calls:

4.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.4%	1	`v`
98.4%	1	`(*.f64 v v)`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
12×	`*-commutative`
6×	`distribute-lft-neg-in`
6×	`sub-neg`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	31	69
2	40	69
3	47	69
4	52	69
5	55	69
6	56	69

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
(acos.f64 -1)

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 (*.f64 v v) -1)))
(acos.f64 (+.f64 (.f64 4 (.f64 v v)) -1))
(acos.f64 (+.f64 (.f64 (.f64 v v) 4) -1))
(acos.f64 -1)

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness0.0ms (0%)

end24.0ms (0.2%)

Compiler: Compiled 25 to 17 computations (32% saved)

Details

analyze483.0ms (4.1%)

sample4.0s (34%)

preprocess73.0ms (0.6%)

simplify73.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.1%)

series2.0ms (0%)

rewrite99.0ms (0.8%)

simplify132.0ms (1.1%)

eval140.0ms (1.2%)

prune46.0ms (0.4%)

localize2.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.5%)

simplify57.0ms (0.5%)

localize44.0ms (0.4%)

series8.0ms (0.1%)

rewrite87.0ms (0.7%)

simplify102.0ms (0.9%)

localize28.0ms (0.2%)

series2.0ms (0%)

rewrite77.0ms (0.7%)

simplify73.0ms (0.6%)

eval334.0ms (2.9%)

prune101.0ms (0.9%)

localize172.0ms (1.5%)

series10.0ms (0.1%)

rewrite297.0ms (2.5%)

simplify193.0ms (1.6%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite105.0ms (0.9%)

simplify115.0ms (1%)

localize31.0ms (0.3%)

series1.0ms (0%)

rewrite117.0ms (1%)

simplify106.0ms (0.9%)

localize51.0ms (0.4%)

series6.0ms (0.1%)

rewrite118.0ms (1%)

simplify150.0ms (1.3%)

localize24.0ms (0.2%)

series4.0ms (0%)

rewrite80.0ms (0.7%)

simplify91.0ms (0.8%)

eval1.1s (9.3%)

prune234.0ms (2%)

localize107.0ms (0.9%)

series3.0ms (0%)

rewrite81.0ms (0.7%)

simplify141.0ms (1.2%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite57.0ms (0.5%)

simplify61.0ms (0.5%)

localize28.0ms (0.2%)

series119.0ms (1%)

rewrite117.0ms (1%)

simplify168.0ms (1.4%)

localize310.0ms (2.6%)

series1.0ms (0%)

rewrite71.0ms (0.6%)

simplify80.0ms (0.7%)

localize84.0ms (0.7%)

series47.0ms (0.4%)

rewrite88.0ms (0.8%)

simplify164.0ms (1.4%)

eval700.0ms (6%)

prune159.0ms (1.4%)

regimes48.0ms (0.4%)

regimes7.0ms (0.1%)

simplify6.0ms (0%)

soundness0.0ms (0%)

end24.0ms (0.2%)

Profiling