Details

analyze512.0ms (3.9%)

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)

sample4.3s (33.1%)

Results

1.9s	4135×	body	2048	valid
1.2s	8320×	body	256	invalid
703.0ms	2059×	body	1024	valid
327.0ms	982×	body	512	valid
121.0ms	1078×	body	256	valid
1.0ms	2×	body	4096	valid

Bogosity

preprocess62.0ms (0.5%)

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)

simplify69.0ms (0.5%)

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

Error

0.2b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(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 error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (.f64 5 (.f64 v v)))
✓	0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
✓	0.1b	(.f64 5 (.f64 v v))
✓	0.2b	(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)))

rewrite103.0ms (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
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((#(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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/.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 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(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))))))))

simplify123.0ms (0.9%)

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)

eval134.0ms (1%)

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

prune47.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	303	6	309
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	303	7	310

Error

0.2b

Counts

310 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)
	1.7b	(.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)))))
▶	0.7b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
▶	0.2b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	0.2b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 -1 (.f64 5 (.f64 v v)))))
▶	1.0b	(acos.f64 -1)

Compiler

Compiled 207 to 152 computations (26.6% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)) (-.f64 (*.f64 v v) 1))
	0.1b	(.f64 5 (.f64 v v))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)

Compiler

Compiled 79 to 49 computations (38% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`associate-/r/`
486×	`associate-+l+`
450×	`associate-+r+`
354×	`add-sqr-sqrt`
344×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	119
1	333	83
2	5055	83

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Inputs

(-.f64 (+.f64 1 (*.f64 5 (*.f64 v v))) 1)

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

(/.f64 (-.f64 1 (-.f64 (+.f64 1 (*.f64 5 (*.f64 v v))) 1)) (-.f64 (*.f64 v v) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 5 (.f64 v v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (fma.f64 5 (.f64 v v) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (.f64 (fma.f64 5 (.f64 v v) -1) 1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 5 (.f64 v v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v (.f64 5 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 v (.f64 5 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 5 (.f64 v v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 v (.f64 5 v)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 5 (.f64 v v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (fma.f64 5 (.f64 v v) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (fma.f64 5 (.f64 v v) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 5 (.f64 v v) -1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 v (.f64 5 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 5 (.f64 v v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 v (.f64 5 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 v v) 5)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 v (.f64 5 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 v (sqrt.f64 5)) (.f64 v (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 v (.f64 5 v))) (cbrt.f64 (.f64 (pow.f64 v 4) 25)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 v 4) 25)) (cbrt.f64 (.f64 v (.f64 5 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 v 4)) (.f64 (pow.f64 (cbrt.f64 v) 2) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 5 v) v)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1) (/.f64 1 (+.f64 (.f64 v (.f64 5 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (+.f64 (.f64 v (.f64 5 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 5 (cbrt.f64 (pow.f64 v 4))) (pow.f64 (cbrt.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 5 v) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 5 v) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 5 v) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (hypot.f64 1 (.f64 v (sqrt.f64 5)))) (-.f64 (hypot.f64 1 (.f64 v (sqrt.f64 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 v (.f64 5 v)) 2)) (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (+.f64 (.f64 v (.f64 5 v)) 2))) (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1) (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1)) (.f64 v (.f64 5 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1) (-.f64 1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2))) (neg.f64 (.f64 v (.f64 5 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3))) (+.f64 (fma.f64 5 (.f64 v v) 1) (.f64 (pow.f64 v 4) 25)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3)) (-.f64 (.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (pow.f64 (fma.f64 5 (.f64 v v) 1) 2)) (.f64 (+.f64 (.f64 v (.f64 5 v)) 2) (+.f64 (.f64 v (.f64 5 v)) 2)))) (-.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (+.f64 (.f64 v (.f64 5 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) 3) (pow.f64 (+.f64 (.f64 v (.f64 5 v)) 2) 3))) (+.f64 (.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (pow.f64 (fma.f64 5 (.f64 v v) 1) 2)) (-.f64 (.f64 (+.f64 (.f64 v (.f64 5 v)) 2) (+.f64 (.f64 v (.f64 5 v)) 2)) (.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (+.f64 (.f64 v (.f64 5 v)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 v (.f64 5 v)) 2) (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (+.f64 (.f64 v (.f64 5 v)) 2)) (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1) (+.f64 (.f64 v (.f64 5 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3)) (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (+.f64 (.f64 v (.f64 5 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3)) (-.f64 (+.f64 1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2)) (.f64 (fma.f64 5 (.f64 v v) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) -1)) (neg.f64 (+.f64 (.f64 v (.f64 5 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 5 (.f64 v v) 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 5 (.f64 v v) 1) 2) (+.f64 (.f64 v (.f64 5 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (fma.f64 5 (.f64 v v) -1) (fma.f64 5 (.f64 v v) -1))) (-.f64 2 (.f64 v (.f64 5 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 5 (.f64 v v) -1) 3)) (-.f64 (+.f64 1 (.f64 (fma.f64 5 (.f64 v v) -1) (fma.f64 5 (.f64 v v) -1))) (fma.f64 5 (.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 5 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 5)) 2)))) (#(struct:change #<rule 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Outputs

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

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate--r+`
1096×	`+-commutative`
676×	`associate-/l*`
636×	`associate-r`
618×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	492	9574
1	1530	9182
2	6895	9168

Stop Event

1×	node limit

Counts

208 → 310

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (.f64 5 (.f64 v v)))
✓	0.0b	(.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 -1 (.f64 5 (.f64 v v))))
	0.1b	(.f64 5 (.f64 v v))
✓	0.2b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 -1 (.f64 5 (.f64 v v)))))

Compiler

Compiled 63 to 36 computations (42.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`distribute-rgt-in`
812×	`associate-/r*`
782×	`distribute-lft-in`
644×	`associate-/l*`
590×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	97
1	311	85
2	4039	85

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-/l*`
848×	`times-frac`
844×	`associate-/l/`
702×	`associate-r`
632×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	613	15436
1	1745	14850

Stop Event

1×	node limit

Counts

274 → 389

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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))

rewrite57.0ms (0.4%)

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	19
1	200	19
2	2191	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(acos.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))))))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

816×	`associate-r`
768×	`fma-def`
726×	`associate-/l*`
666×	`distribute-lft-in`
650×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	860
1	154	856
2	569	856
3	2588	796
4	6346	796

Stop Event

1×	node limit

Counts

34 → 35

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))
(+.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))))

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

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 v v) -5)
✓	0.2b	(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)

Compiler

Compiled 80 to 49 computations (38.8% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)
2.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)
2.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)
0.0ms	v	@	inf	(.f64 (.f64 v v) -5)
0.0ms	v	@	0	(.f64 (.f64 v v) -5)

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-*r/`
1034×	`associate-*l/`
778×	`associate-/r*`
628×	`associate-/l*`
330×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	355	116
2	4060	116

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))) 3)
(cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1))))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(.f64 (.f64 v v) -5)

Outputs
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((#(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 (cbrt.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 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(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 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) 3/2)))) (#(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 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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))))))))

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

772×	`associate-/l*`
768×	`distribute-lft-neg-in`
642×	`distribute-rgt-neg-in`
620×	`*-commutative`
552×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	7099
1	440	6887
2	1593	6883
3	4607	6883

Stop Event

1×	node limit

Counts

155 → 111

Calls

Call 1

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

eval533.0ms (4.1%)

Compiler: Compiled 23409 to 16824 computations (28.1% saved)

prune194.0ms (1.5%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	877	6	883
Fresh	1	0	1
Picked	1	0	1
Done	0	5	5
Total	879	11	890

Error

0.2b

Counts

890 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.3b	(pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 3)
▶	1.7b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 3)
▶	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
▶	0.7b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) 3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
▶	2.2b	(.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))))
✓	0.7b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.2b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 -1 (.f64 5 (.f64 v v)))))
✓	1.0b	(acos.f64 -1)

Compiler

Compiled 316 to 241 computations (23.7% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
✓	0.2b	(asin.f64 (fma.f64 (*.f64 4 v) v -1))

Compiler

Compiled 36 to 26 computations (27.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
0.0ms	v	@	-inf	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
0.0ms	v	@	inf	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
0.0ms	v	@	0	(asin.f64 (fma.f64 (*.f64 4 v) v -1))
0.0ms	v	@	inf	(asin.f64 (fma.f64 (*.f64 4 v) v -1))

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`swap-sqr`
648×	`associate-*r/`
644×	`distribute-rgt-in`
600×	`distribute-lft-in`
526×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	311	38
2	3674	38

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

Inputs
(asin.f64 (fma.f64 (*.f64 4 v) v -1))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 0) (asin.f64 (fma.f64 (*.f64 4 v) v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (acos.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) (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (PI.f64) (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 2) (-.f64 (PI.f64) (acos.f64 (fma.f64 (*.f64 4 v) v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (-.f64 (PI.f64) (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) (pow.f64 (PI.f64) 3)))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) 3) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (-.f64 (PI.f64) (acos.f64 (fma.f64 (*.f64 4 v) v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (fma.f64 (neg.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) 1 (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)))) (sqrt.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (*.f64 4 v) v -1))) 2) (asin.f64 (fma.f64 (*.f64 4 v) v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (acos.f64 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simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1142×	`associate-/r/`
960×	`associate-+r+`
810×	`associate-+l+`
684×	`+-commutative`
548×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	11633
1	962	11003
2	5104	10861

Stop Event

1×	node limit

Counts

159 → 217

Calls

Call 1

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

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

localize40.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	1.0b	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)

Compiler

Compiled 39 to 24 computations (38.5% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
2.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
0.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
0.0ms	v	@	0	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
0.0ms	v	@	inf	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`cbrt-prod`
816×	`*-commutative`
772×	`sqrt-prod`
622×	`unswap-sqr`
504×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	266	42
2	2707	42

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
(cbrt.f64 (acos.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) (*.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 (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 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 (/.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 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simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

790×	`*-commutative`
752×	`distribute-lft-in`
718×	`distribute-rgt-in`
672×	`fma-def`
626×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	4294972178
1	548	4894
2	2101	4756
3	7179	4756

Stop Event

1×	node limit

Counts

114 → 118

Calls

Call 1

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

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

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	1.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
✓	1.6b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 3)

Compiler

Compiled 104 to 74 computations (28.8% saved)

series14.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 3)
2.0ms	v	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 3)
2.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 3)
2.0ms	v	@	-inf	(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3))
1.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`swap-sqr`
676×	`associate-*r/`
630×	`associate-/r*`
564×	`associate-*l/`
488×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	140
1	365	140
2	3562	140

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 3)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)
(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

Outputs
((#(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 (.f64 (PI.f64) 1/2) 1) (.f64 (neg.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 (.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 (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 (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))) 1/6) (.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (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 (cbrt.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))))) (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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (pow.f64 (cbrt.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 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 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 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 3/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.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 /.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 (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 (-.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 (PI.f64) (PI.f64)) 1/4) (.f64 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (PI.f64) 1/2) (asin.f64 (/.f64 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(#(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))))) (#(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)))))))))
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simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1538×	`associate-+r+`
1358×	`associate-+l+`
1182×	`distribute-lft-neg-in`
914×	`unswap-sqr`
582×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	7192
1	323	7192
2	1027	7192
3	3714	7192

Stop Event

1×	node limit

Counts

160 → 64

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.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))))
	0.2b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	1.0b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
	1.0b	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

Compiler

Compiled 58 to 37 computations (36.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`*-commutative`
802×	`sqrt-prod`
636×	`unswap-sqr`
528×	`swap-sqr`
408×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	282	48
2	2842	48

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(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 (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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(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))))) (cbrt.f64 (pow.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))) (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 (*.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 (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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(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)))))))

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-/r/`
808×	`associate-/l/`
768×	`unswap-sqr`
582×	`*-commutative`
580×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	4171
1	479	4117
2	1650	4071
3	5711	4071

Stop Event

1×	node limit

Counts

91 → 85

Calls

Call 1

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

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))))
✓	0.2b	(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
✓	1.0b	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
✓	1.6b	(pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 3)

Compiler

Compiled 129 to 91 computations (29.5% saved)

series2.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
0.0ms	v	@	-inf	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
0.0ms	v	@	inf	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
0.0ms	v	@	0	(pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 3)
0.0ms	v	@	inf	(pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 3)

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`associate-*r/`
626×	`associate-/r*`
570×	`associate-*l/`
506×	`distribute-rgt-in`
488×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	140
1	367	140
2	3958	140

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 3)
(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)))
(.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (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 (.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))))) (#(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))) 1/6) (.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (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 .f64 (cbrt.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))) 2)))))) (#(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 (cbrt.f64 (pow.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 (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 .f64 (cbrt.f64 (pow.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)))))))) (#(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)))) (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 (.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))))) (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 (.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) 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 (.f64 (cbrt.f64 (pow.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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) 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 (-.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 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))) (+.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 (.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 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))) (+.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 (.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 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-5) 1) (fma.f64 v v -1))) 2)) 3/2)))) (#(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))) 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)))))))))
((#(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 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 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2/3)))) (#(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))) 1/6) 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)))) 1)))) (#(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 (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 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 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 (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))))))))))

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1008×	`distribute-lft-neg-in`
818×	`*-commutative`
804×	`distribute-lft-in`
782×	`distribute-rgt-in`
690×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	4294974899
1	417	7463
2	1724	7457
3	5764	7457

Stop Event

1×	node limit

Counts

145 → 105

Calls

Call 1

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

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

eval831.0ms (6.4%)

Compiler: Compiled 26282 to 19582 computations (25.5% saved)

prune256.0ms (2%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	830	9	839
Fresh	0	1	1
Picked	1	0	1
Done	2	7	9
Total	833	17	850

Error

0.1b

Counts

850 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 2) 3)
▶	2.6b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 3/2)
▶	1.6b	(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 6)
▶	4.5b	(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)) 3)
	3.2b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.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)) 3)
	3.7b	(pow.f64 (.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))))) 3)
▶	2.2b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 3)
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
	63.1b	(/.f64 (-.f64 (.f64 1/64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (-.f64 (PI.f64) (acos.f64 (fma.f64 (.f64 4 v) v -1))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3))))
▶	63.1b	(-.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)))))
✓	0.7b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) 3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	0.7b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.2b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 -1 (.f64 5 (.f64 v v)))))
✓	1.0b	(acos.f64 -1)

Compiler

Compiled 637 to 506 computations (20.6% saved)

localize48.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	1.0b	(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 6)

Compiler

Compiled 42 to 27 computations (35.7% saved)

series84.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
71.0ms	v	@	0	(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 6)
13.0ms	v	@	inf	(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 6)
0.0ms	v	@	-inf	(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 6)

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`*-commutative`
822×	`sqrt-prod`
672×	`unswap-sqr`
528×	`swap-sqr`
426×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	295	19
2	2992	19

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-+r+`
1012×	`associate-+l+`
692×	`associate-/r/`
626×	`unswap-sqr`
572×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	3085
1	416	3059
2	1508	3043
3	4978	3043

Stop Event

1×	node limit

Counts

63 → 78

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 3/2)
	0.2b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
	1.0b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)
	1.0b	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))

Compiler

Compiled 52 to 34 computations (34.6% saved)

series80.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

44.0ms

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

36.0ms

inf

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

0.0ms

-inf

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`*-commutative`
854×	`sqrt-prod`
666×	`unswap-sqr`
552×	`swap-sqr`
444×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	307	19
2	3317	19

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-+r+`
926×	`associate-+l+`
922×	`associate-/r/`
590×	`fma-def`
556×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	4724
1	521	4118
2	1705	4102
3	4739	4102

Stop Event

1×	node limit

Counts

82 → 106

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
✓	1.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3))
	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
✓	1.6b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 3)

Compiler

Compiled 63 to 42 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 3)
1.0ms	v	@	0	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 3)
0.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 3)
0.0ms	v	@	0	(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3))
0.0ms	v	@	inf	(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`cbrt-prod`
824×	`*-commutative`
772×	`sqrt-prod`
622×	`unswap-sqr`
504×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	305	42
2	2747	42

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

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

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

820×	`*-commutative`
750×	`distribute-lft-in`
718×	`distribute-rgt-in`
672×	`fma-def`
620×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	4294972178
1	548	4894
2	2103	4756
3	7174	4756

Stop Event

1×	node limit

Counts

114 → 118

Calls

Call 1

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

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6)
	1.0b	(cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))
✓	1.6b	(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)) 3)
✓	1.6b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 3)

Compiler

Compiled 104 to 74 computations (28.8% saved)

series39.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 3)
14.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 3)
6.0ms	v	@	0	(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)) 3)
2.0ms	v	@	inf	(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)) 3)
0.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/6) 3)

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`*-commutative`
932×	`unswap-sqr`
638×	`swap-sqr`
526×	`sqr-pow`
456×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	99
1	365	69
2	4016	69

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

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

(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)) 3)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) (sqrt.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) (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 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))) (#(struct:change 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(pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 4)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.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 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))))) (#(struct:change #<rule egg-rr> 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((#(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 (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 (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) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(fma.f64 4 (*.f64 v v) -1)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1/12) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36))) (*.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1/12) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36)) (pow.f64 (cbrt.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)) 1/36)) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1/12) (pow.f64 (cbrt.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)) 1/6) 1/12) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1/12)) (*.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.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)) 1/6) 1/12)) (*.f64 (pow.f64 (cbrt.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)) 1/6) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36)) (sqrt.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)) 1/36)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.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)) 1/36))) (*.f64 (sqrt.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)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 1/24) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))))))

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-+r+`
842×	`distribute-rgt-in`
842×	`distribute-lft-in`
806×	`+-commutative`
714×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	9434
1	743	7114
2	2482	6534
3	5915	6534

Stop Event

1×	node limit

Counts

160 → 187

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)
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(*.f64 (pow.f64 1 1/6) (pow.f64 (acos.f64 (fma.f64 4 (pow.f64 v 2) -1)) 1/18))
(-.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 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (sqrt.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 4)))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))) 3))
(.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)) 1/6) (pow.f64 1 1/2))
(.f64 1 (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))) 1/4) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/4))
(.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) (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)) (.f64 (cbrt.f64 (cbrt.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 (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 (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 (sqrt.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 4)) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))
(.f64 (.f64 (cbrt.f64 (cbrt.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 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))
(.f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))))) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36))
(.f64 (.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))))) (cbrt.f64 (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))))) 3) (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))
(.f64 (pow.f64 1 1/2) (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6))
(.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 4) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)))) 1/2) (pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 4) 1/2))
(.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 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (sqrt.f64 (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)) 1/18) 3/4) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/4))))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) 3/2) (sqrt.f64 (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)) 1/36) 3/2) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 1/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/4)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/4)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) 3/2) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4)) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) 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 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/4)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) 3/2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/4)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36) 3/2)))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36) 3/2)) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/18) 3/4) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36) 3/2)))
(.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)) 1/12))
(.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 (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))
(sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))
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(.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 (pow.f64 (cbrt.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)) 1/36))) (.f64 (pow.f64 (cbrt.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)) 1/36))))
(.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) 1/12) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36))) (.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) 1/12) (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/36))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36)) (pow.f64 (cbrt.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)) 1/36)) (pow.f64 (cbrt.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)) 1/6) 1/12) (pow.f64 (cbrt.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)) 1/6) 1/12) (pow.f64 (cbrt.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)) 1/36)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/6) 1/12)) (.f64 (sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36)) (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 1/12)))
(.f64 (.f64 (pow.f64 (cbrt.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)) 1/6) 1/12)) (.f64 (pow.f64 (cbrt.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)) 1/6) 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 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36)) (sqrt.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)) 1/36)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))))))))
(.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 (pow.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) 1/36))) (.f64 (sqrt.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)) 1/36))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2) 1/24) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 1/24))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)))))
(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))))
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6))
(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)))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18)))

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 2)
✓	0.2b	(asin.f64 (fma.f64 4 (*.f64 v v) -1))
✓	0.6b	(-.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)))))
✓	0.6b	(+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))

Compiler

Compiled 132 to 89 computations (32.6% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(-.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)))))
2.0ms	v	@	inf	(-.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)))))
0.0ms	v	@	-inf	(-.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)))))
0.0ms	v	@	0	(+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))
0.0ms	v	@	inf	(+.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (.f64 v v) -1)))

rewrite166.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`add-sqr-sqrt`
482×	`*-un-lft-identity`
478×	`pow1`
462×	`add-exp-log`
462×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	152
1	500	92
2	6778	92

Stop Event

1×	node limit

Counts

4 → 289

Calls

Call 1

Inputs
(+.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 (.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)))))
(asin.f64 (fma.f64 4 (*.f64 v v) -1))
(pow.f64 (asin.f64 (fma.f64 4 (*.f64 v v) -1)) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1)) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (-.f64 1 (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/2))) (-.f64 1 (asin.f64 (fma.f64 4 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (.f64 v v) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (fma.f64 4 (.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (fma.f64 4 (.f64 v v) -1))) (/.f64 (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2) (acos.f64 (fma.f64 4 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 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-1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (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 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (.f64 (PI.f64) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 2)) (/.f64 1 (acos.f64 (fma.f64 4 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (acos.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 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (-.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) (.f64 (PI.f64) 1/2)))) (+.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)) 3))))))) (#(struct:change #<rule 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((#(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) (.f64 -1 (asin.f64 (fma.f64 4 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))) (sqrt.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) 2)) (cbrt.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (fma.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v v) -1))) 1 (asin.f64 (fma.f64 4 (.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 -1 (asin.f64 (fma.f64 4 (.f64 v v) -1))) (fma.f64 (neg.f64 (asin.f64 (fma.f64 4 (.f64 v 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simplify233.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1788×	`times-frac`
1120×	`associate-r`
1032×	`associate-/r*`
956×	`associate-l`
702×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	643	33133
1	1676	30871

Stop Event

1×	node limit

Counts

337 → 384

Calls

Call 1

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

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

eval1.4s (11%)

Compiler: Compiled 57022 to 41341 computations (27.5% saved)

prune515.0ms (4%)

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	1473	9	1482
Fresh	1	4	5
Picked	0	1	1
Done	1	10	11
Total	1475	24	1499

Error

0.1b

Counts

1499 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 2) 3)
	3.2b	(pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.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)) 2) 3/2)
	2.2b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 2) 3/2)
✓	2.6b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2) 3/2)
✓	1.6b	(pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 6)
	4.5b	(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 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 1/18) 3)) 3)
	5.3b	(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))) 1) 3)) 3)
	6.3b	(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (.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)) 3)) 3)
	4.5b	(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (.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)))))) 3)) 3)
	4.1b	(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) 3)
	3.2b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.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)) 3)
	2.9b	(pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)) 4))) 3/2)
	3.7b	(pow.f64 (.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))))) 3)
✓	2.2b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 3)
	63.1b	(pow.f64 (cbrt.f64 (-.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)))))) 3)
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)
	63.1b	(/.f64 (-.f64 (.f64 1/64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (-.f64 (PI.f64) (acos.f64 (fma.f64 (.f64 4 v) v -1))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3))))
✓	63.1b	(-.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)))))
✓	0.7b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (.f64 4 v) v -1)))
✓	0.7b	(acos.f64 (fma.f64 4 (*.f64 v v) -1))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)) (-.f64 (*.f64 v v) 1)))
✓	0.2b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.2b	(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 -1 (.f64 5 (.f64 v v)))))
✓	1.0b	(acos.f64 -1)

Compiler

Compiled 585 to 471 computations (19.5% saved)

regimes50.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (+.f64 -1 (.f64 5 (.f64 v v)))))
(acos.f64 (/.f64 (-.f64 1 (-.f64 (+.f64 1 (.f64 5 (.f64 v v))) 1)) (-.f64 (*.f64 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)))
(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)) 1/6) 6)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.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 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/6) 2) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 3)) 2) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 3)
(.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)))))
(pow.f64 (.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))))) 3)
(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 (*.f64 4 v) v -1))))) 3)
(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 (acos.f64 (fma.f64 (*.f64 4 v) v -1)) 1/18) 3)) 3)
(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)) 3)
(pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) (cbrt.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 3)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) 3) (cbrt.f64 (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 (.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)))))
(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1)) 1/18))) 1) 3)) 3)
(pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (*.f64 v v) -1))) 2)) 4))) 3/2)
(pow.f64 (cbrt.f64 (-.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)))))) 3)
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.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)) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.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)) 2) 3/2)
(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (.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)))))) 3)) 3)
(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (.f64 v v) -1))) 1/6) 3) (pow.f64 (.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)) 3)) 3)
(/.f64 (-.f64 (.f64 1/64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) (-.f64 (PI.f64) (acos.f64 (fma.f64 (.f64 4 v) v -1))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (fma.f64 (.f64 4 v) v -1)) 3))))

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

Calls

4 calls:

15.0ms	v
10.0ms	(*.f64 v v)
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
3.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.2b	1	`v`
0.2b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.2b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.2b	1	`(*.f64 v v)`

Compiler

Compiled 771 to 574 computations (25.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.8b remaining (-476.4%)

Threshold costs -0.8b (-476.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	v
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
2.0ms	(*.f64 v v)
2.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.2b	1	`v`
0.2b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.2b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.2b	1	`(*.f64 v v)`

Compiler

Compiled 68 to 44 computations (35.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
14×	`sub-neg`
14×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	34	99
2	50	99
3	64	99
4	74	99
5	78	99
6	79	99

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 37 to 27 computations (27% saved)

soundness0.0ms (0%)

end25.0ms (0.2%)

Compiler: Compiled 35 to 24 computations (31.4% saved)