Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (26%)

Results

1.0s	2198×	body	2048	valid
657.0ms	4534×	body	256	valid
389.0ms	1047×	body	1024	valid
77.0ms	477×	body	512	valid

Bogosity

preprocess45.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval1.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

22.32%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.32%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.12%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`*-commutative`
726×	`associate-*r/`
718×	`unswap-sqr`
594×	`associate-*l/`
520×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	194	21
2	2594	21

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
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Outputs

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

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1060×	`associate-+l+`
1056×	`associate-*l/`
1030×	`associate-+r+`
788×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	7738
1	817	7158
2	3722	7134

Stop Event

1×	node limit

Counts

108 → 179

Calls

Call 1

Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) 1))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (exp.f64 (log1p.f64 (atan.f64 N)))) 1)
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 (+.f64 N 1)))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))))
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(/.f64 1 (/.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))))
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(/.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (atan.f64 N) (pow.f64 (atan.f64 N) 3))) (*.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
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(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 3) (pow.f64 (pow.f64 (atan.f64 N) 2) 3)) (.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (pow.f64 (atan.f64 N) 2)) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3))) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) 1) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (pow.f64 (atan.f64 N) 2)) 1) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) 1) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (.f64 (-.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (atan.f64 N) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 3) (pow.f64 (pow.f64 (atan.f64 N) 2) 3)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (pow.f64 (atan.f64 N) 3) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) 1) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) 1) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))

Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) 3) (pow.f64 (pow.f64 (atan.f64 N) 2) 3)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))) (fma.f64 (atan.f64 (+.f64 1 N)) (pow.f64 (atan.f64 (+.f64 1 N)) 3) (*.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 6) (pow.f64 (atan.f64 N) 6)) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (fma.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (atan.f64 (+.f64 1 N)) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (pow.f64 (atan.f64 N) 3) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 6) (pow.f64 (atan.f64 N) 6)) (.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 6) (pow.f64 (atan.f64 N) 6)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 6) (+.f64 (.f64 (pow.f64 (atan.f64 N) 3) (pow.f64 (atan.f64 (+.f64 1 N)) 3)) (pow.f64 (atan.f64 N) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (*.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 6) (fma.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3) (pow.f64 (atan.f64 N) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) 1) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) 1) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 N) 2) (neg.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 1 N)) 2)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 1 N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 2))
(fabs.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 1 N)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))

eval119.0ms (1.4%)

Compiler: Compiled 5250 to 3327 computations (36.6% saved)

prune24.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	177	2	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	3	180

Error

0.71%

Counts

180 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.22%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.72%	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	22.32%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.72%	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 32 to 16 computations (50% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
0.0ms	N	@	-inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
0.0ms	N	@	inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`add-sqr-sqrt`
1710×	`*-un-lft-identity`
1586×	`add-cube-cbrt`
1572×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	222	21
2	2215	21

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

794×	`*-commutative`
770×	`associate-r`
590×	`associate-l`
566×	`distribute-lft-in`
506×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	630
1	93	630
2	383	630
3	2117	630
4	5179	630
5	7783	630

Stop Event

1×	node limit

Counts

30 → 22

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Outputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	0.01%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	1.14%	(+.f64 N (-.f64 1 N))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(+.f64 (+.f64 N 1) (*.f64 N N))
0.0ms	N	@	0	(+.f64 (+.f64 N 1) (*.f64 N N))
0.0ms	N	@	-inf	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	-inf	(+.f64 (+.f64 N 1) (*.f64 N N))
0.0ms	N	@	inf	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))

rewrite97.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`associate-*l/`
1052×	`*-commutative`
702×	`associate-/r*`
530×	`associate-/r/`
372×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	231	61
2	3436	61

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs
(+.f64 N (-.f64 1 N))
(+.f64 (+.f64 N 1) (*.f64 N N))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 N 1) 0) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N (-.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) (+.f64 N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1188×	`+-commutative`
854×	`associate-+r-`
784×	`associate-+l-`
492×	`distribute-lft-in`
472×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	8462
1	1688	7700
2	6397	7640

Stop Event

1×	node limit

Counts

238 → 302

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(-.f64 1 (-.f64 N N))
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(-.f64 (+.f64 N 1) N)
(-.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))) (/.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (.f64 (pow.f64 N 6) (pow.f64 N 6))) (.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))))
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (fma.f64 N N -1) N))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (pow.f64 N 4) (pow.f64 N 4))) (.f64 (+.f64 1 (-.f64 N (.f64 N N))) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (-.f64 (.f64 (pow.f64 N 6) (pow.f64 N 6)) (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 N N)) 3)) (+.f64 (.f64 N N) (-.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (.f64 N (+.f64 1 (*.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (pow.f64 N 4) 3)) (.f64 (+.f64 1 (-.f64 N (.f64 N N))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (pow.f64 N 4) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (neg.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(/.f64 (.f64 (-.f64 1 (.f64 (fma.f64 N N N) (fma.f64 N N N))) 1) (-.f64 1 (fma.f64 N N N)))
(/.f64 (.f64 (-.f64 (.f64 N N) (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N)))) 1) (-.f64 (+.f64 N -1) (.f64 N N)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (-.f64 (fma.f64 N N -1) N))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (-.f64 (+.f64 1 (.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 N N N)))
(/.f64 (.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 N N)) 3)) 1) (+.f64 (.f64 N N) (-.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (.f64 N (+.f64 1 (.f64 N N))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1) (neg.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) 1) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (pow.f64 N 4) (pow.f64 N 4))) (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N))))) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (pow.f64 N 4) 3)) (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N))))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (pow.f64 N 4) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (.f64 (pow.f64 N 6) (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (-.f64 (.f64 (pow.f64 N 6) (pow.f64 N 6)) (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1) (+.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 N (hypot.f64 1 (sqrt.f64 N)))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) 1) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N (fma.f64 N N N))))))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))
(exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 N N (+.f64 N 1))
(fma.f64 1 N (+.f64 1 (*.f64 N N)))
(fma.f64 1 (+.f64 N 1) (*.f64 N N))
(fma.f64 1 (*.f64 N N) (+.f64 N 1))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 1 (-.f64 N N))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (+.f64 N 1) N)
1
(-.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))
1
(-.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))
(-.f64 (/.f64 1 (+.f64 1 N)) (-.f64 (*.f64 (/.f64 N (+.f64 1 N)) N) N))
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 N))) (*.f64 N (/.f64 N (+.f64 1 N))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))))
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (/.f64 -1 (+.f64 N -1))) N)
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(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 N 1))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (+.f64 1 (*.f64 N N)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (+.f64 N 1) (*.f64 N N))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (*.f64 N N) (+.f64 N 1))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval147.0ms (1.8%)

Compiler: Compiled 9212 to 5764 computations (37.4% saved)

prune48.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	319	5	324
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	322	5	327

Error

0.67%

Counts

327 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.56%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	39.54%	(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	21.21%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.72%	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
▶	0.72%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 156 to 108 computations (30.8% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.72%	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))

Compiler

Compiled 20 to 12 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
0.0ms	N	@	-inf	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
0.0ms	N	@	inf	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`add-sqr-sqrt`
1542×	`*-un-lft-identity`
1430×	`add-cube-cbrt`
1416×	`add-cbrt-cube`
1402×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	161	21
2	1935	21

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1288×	`associate-*r/`
986×	`*-commutative`
630×	`associate-r`
502×	`log-prod`
490×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	525
1	91	441
2	398	441
3	1774	441
4	4173	441
5	6377	441

Stop Event

1×	node limit

Counts

21 → 21

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Outputs
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.72%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 25 to 13 computations (48% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	-inf	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	inf	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`add-sqr-sqrt`
1848×	`*-un-lft-identity`
1730×	`add-cube-cbrt`
1716×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	174	21
2	2388	21

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

830×	`*-commutative`
752×	`associate-r`
604×	`associate-l`
584×	`distribute-lft-in`
520×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	750
1	100	630
2	404	630
3	2166	630
4	5384	630

Stop Event

1×	node limit

Counts

30 → 22

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.01%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	1.14%	(-.f64 (+.f64 N 1) N)

Compiler

Compiled 34 to 18 computations (47.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	0	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	inf	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	0	(-.f64 (+.f64 N 1) N)
0.0ms	N	@	inf	(-.f64 (+.f64 N 1) N)

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`associate-*r/`
1222×	`associate-*l/`
1082×	`distribute-lft-in`
940×	`*-commutative`
368×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	50
1	205	46
2	3001	46

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(-.f64 (+.f64 N 1) N)
(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (-.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2) (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))))))

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1498×	`associate-/r*`
968×	`associate-*r/`
918×	`*-commutative`
838×	`associate-+l+`
784×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	4048
1	1073	3562
2	4330	3530

Stop Event

1×	node limit

Counts

162 → 190

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(+.f64 N (-.f64 1 N))
(+.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 1 (-.f64 N N))
(+.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 1 (*.f64 1 (-.f64 N N)))
(+.f64 (+.f64 N 1) (neg.f64 N))
(+.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (*.f64 1 (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (+.f64 1 (-.f64 N N)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (+.f64 1 (-.f64 N N)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (-.f64 1 N) N)
(+.f64 (-.f64 1 N) (+.f64 N (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (-.f64 1 N) (+.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (-.f64 1 N) (+.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (neg.f64 N) (+.f64 N 1))
(+.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (-.f64 N N) 1)
(+.f64 (fma.f64 (neg.f64 N) 1 N) (+.f64 1 (-.f64 N N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (+.f64 1 (-.f64 N N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (+.f64 1 (-.f64 N N)))
(*.f64 1 (+.f64 1 (-.f64 N N)))
(*.f64 (+.f64 1 (-.f64 N N)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))))
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))))
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))))
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(.f64 (/.f64 1 (+.f64 N (+.f64 N 1))) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) (+.f64 1 (-.f64 N N)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3))) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (.f64 N N) (+.f64 N (.f64 N N)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (+.f64 N (.f64 N (+.f64 N N))) (+.f64 N (.f64 N (+.f64 N N)))))) (-.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (+.f64 N (.f64 N (+.f64 N N))) 3))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (-.f64 (.f64 (+.f64 N (.f64 N (+.f64 N N))) (+.f64 N (.f64 N (+.f64 N N)))) (.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (+.f64 N (+.f64 N 1)))
(/.f64 (+.f64 N (+.f64 N 1)) (/.f64 (+.f64 N (+.f64 N 1)) (+.f64 1 (-.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))) (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))) (+.f64 1 (-.f64 N N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N))) (/.f64 (+.f64 N (+.f64 N 1)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))) (/.f64 (+.f64 N (+.f64 N 1)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))))
(/.f64 (-.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 N))) (+.f64 (+.f64 N -1) N))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 (neg.f64 N) (neg.f64 N))) (+.f64 N (+.f64 N 1)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (pow.f64 N 4)) (.f64 (+.f64 N (+.f64 N 1)) (+.f64 (*.f64 N N) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (pow.f64 N 6)) (.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))) (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 1 N) (-.f64 1 N)) (*.f64 N (-.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (neg.f64 N) 3)) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (.f64 (neg.f64 N) (neg.f64 N)) (.f64 (+.f64 N 1) (neg.f64 N)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 N 6)) (.f64 (+.f64 N (+.f64 N 1)) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (+.f64 (pow.f64 N 4) (.f64 (.f64 N N) (pow.f64 (+.f64 N 1) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (+.f64 (pow.f64 N 6) (.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) (neg.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N))))))
(/.f64 (.f64 1 (-.f64 (.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 N)))) (+.f64 (+.f64 N -1) N))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 (neg.f64 N) (neg.f64 N)))) (+.f64 N (+.f64 N 1)))
(/.f64 (.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 1 N) (-.f64 1 N)) (.f64 N (-.f64 1 N)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (neg.f64 N) 3))) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (.f64 (neg.f64 N) (neg.f64 N)) (*.f64 (+.f64 N 1) (neg.f64 N)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))) (neg.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))) (sqrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))) (cbrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (.f64 (-.f64 (.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 N))) 1) (+.f64 (+.f64 N -1) N))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 (neg.f64 N) (neg.f64 N))) 1) (+.f64 N (+.f64 N 1)))
(/.f64 (.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) 1) (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 1 N) (-.f64 1 N)) (.f64 N (-.f64 1 N)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (neg.f64 N) 3)) 1) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (.f64 (neg.f64 N) (neg.f64 N)) (*.f64 (+.f64 N 1) (neg.f64 N)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N))) 1) (neg.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (sqrt.f64 (+.f64 1 (-.f64 N N)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N)))) (sqrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2)) (cbrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (pow.f64 N 4)) (/.f64 1 (+.f64 N (+.f64 N 1)))) (+.f64 (*.f64 N N) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 N 6)) (/.f64 1 (+.f64 N (+.f64 N 1)))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (+.f64 (pow.f64 N 4) (.f64 (.f64 N N) (pow.f64 (+.f64 N 1) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (pow.f64 N 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))) (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (+.f64 (pow.f64 N 6) (.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) 1) (+.f64 N (+.f64 N 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (sqrt.f64 (+.f64 N (+.f64 N 1)))) (sqrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (.f64 (cbrt.f64 (+.f64 N (+.f64 N 1))) (cbrt.f64 (+.f64 N (+.f64 N 1))))) (cbrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) 1) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(pow.f64 (+.f64 1 (-.f64 N N)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 N N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 N N))))
(exp.f64 (log.f64 (+.f64 1 (-.f64 N N))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 N N))))
(fma.f64 1 N (-.f64 1 N))
(fma.f64 1 (+.f64 N 1) (neg.f64 N))
(fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))) 1)
(*.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))
(*.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 1)
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2) (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 N (-.f64 1 N))
1
(+.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 1 (-.f64 N N))
1
(+.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 1 (*.f64 1 (-.f64 N N)))
1
(+.f64 (+.f64 N 1) (neg.f64 N))
1
(+.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 (+.f64 N 1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 N) 1 N))
1
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))
1
(+.f64 (+.f64 1 (-.f64 N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) 1 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (*.f64 1 (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 (+.f64 1 (-.f64 N N)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 (-.f64 1 N) N)
1
(+.f64 (-.f64 1 N) (+.f64 N (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 (-.f64 1 N) (+.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 (-.f64 1 N) (+.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 (neg.f64 N) (+.f64 N 1))
1
(+.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 N) 1 N)))
1
(+.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(+.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(+.f64 (-.f64 N N) 1)
1
(+.f64 (fma.f64 (neg.f64 N) 1 N) (+.f64 1 (-.f64 N N)))
1
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (+.f64 1 (-.f64 N N)))
1
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (+.f64 1 (-.f64 N N)))
1
(*.f64 1 (+.f64 1 (-.f64 N N)))
1
(*.f64 (+.f64 1 (-.f64 N N)) 1)
1
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))))
1
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))))
1
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))))
1
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (-.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 N)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (-.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 N)))
(.f64 (/.f64 1 (+.f64 N (+.f64 N 1))) (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)))
1
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) (+.f64 1 (-.f64 N N)))
1
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3))) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (.f64 N N) (+.f64 N (.f64 N N)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N N)) (-.f64 (fma.f64 N N (pow.f64 (+.f64 1 N) 2)) (+.f64 N (*.f64 N N)))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)))
(*.f64 (/.f64 (fma.f64 2 N 1) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) (-.f64 (pow.f64 (+.f64 1 N) 2) N))
(/.f64 (fma.f64 2 N 1) (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (.f64 (+.f64 N (.f64 N (+.f64 N N))) (+.f64 N (.f64 N (+.f64 N N)))))) (-.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))))
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1
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (sqrt.f64 (+.f64 1 (-.f64 N N)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 N) 3/2) (pow.f64 (neg.f64 N) 3/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N)))) (sqrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1 N))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N N)))))
(/.f64 (sqrt.f64 (fma.f64 2 N 1)) (sqrt.f64 (fma.f64 2 N 1)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2)) (cbrt.f64 (+.f64 N (+.f64 N 1))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 N (+.f64 1 N))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N N)))))
(/.f64 (cbrt.f64 (fma.f64 2 N 1)) (cbrt.f64 (fma.f64 2 N 1)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (pow.f64 N 4)) (/.f64 1 (+.f64 N (+.f64 N 1)))) (+.f64 (*.f64 N N) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 4)) (*.f64 (+.f64 N (+.f64 1 N)) (fma.f64 N N (pow.f64 (+.f64 1 N) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 N 6)) (/.f64 1 (+.f64 N (+.f64 N 1)))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (+.f64 (pow.f64 N 4) (.f64 (.f64 N N) (pow.f64 (+.f64 N 1) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 N) 2) 3) (pow.f64 N 6)) (.f64 (+.f64 N (+.f64 1 N)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 4)) (.f64 N (*.f64 N (pow.f64 (+.f64 1 N) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 6)) (.f64 (fma.f64 2 N 1) (+.f64 (pow.f64 (+.f64 1 N) 4) (.f64 (*.f64 N N) (fma.f64 N N (pow.f64 (+.f64 1 N) 2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (pow.f64 N 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))) (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 6)) (.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (.f64 N (+.f64 N N))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 6)) (.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (.f64 (fma.f64 2 N 1) N)) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 6)) (.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (.f64 N (fma.f64 2 N 1))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))))) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (+.f64 (pow.f64 N 6) (.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (.f64 N (+.f64 N N)))) (+.f64 (pow.f64 (+.f64 1 N) 6) (+.f64 (pow.f64 N 6) (.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (.f64 (fma.f64 2 N 1) N)) (+.f64 (pow.f64 (+.f64 1 N) 6) (fma.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3) (pow.f64 N 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1)))) (+.f64 (pow.f64 (+.f64 1 N) 6) (fma.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) 1) (+.f64 N (+.f64 N 1)))
1
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (sqrt.f64 (+.f64 N (+.f64 N 1)))) (sqrt.f64 (+.f64 N (+.f64 N 1))))
1
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (.f64 N N)) (.f64 (cbrt.f64 (+.f64 N (+.f64 N 1))) (cbrt.f64 (+.f64 N (+.f64 N 1))))) (cbrt.f64 (+.f64 N (+.f64 N 1))))
1
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) 1) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (.f64 N (+.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) N) (*.f64 N (+.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (fma.f64 2 N 1) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 2 N 1))))
(pow.f64 (+.f64 1 (-.f64 N N)) 1)
1
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) 2)
1
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 3)
1
(pow.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3) 1/3)
1
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 2))
1
(log.f64 (exp.f64 (+.f64 1 (-.f64 N N))))
1
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 N N)))))
1
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 N N)) 3))
1
(expm1.f64 (log.f64 (+.f64 2 (-.f64 N N))))
(expm1.f64 (log.f64 2))
(exp.f64 (log.f64 (+.f64 1 (-.f64 N N))))
1
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 N N))))
1
(fma.f64 1 N (-.f64 1 N))
1
(fma.f64 1 (+.f64 N 1) (neg.f64 N))
1
(fma.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 (+.f64 N 1)) (neg.f64 N))
1
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1 N))
1
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 N))
1
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1 N))
1
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2) (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 2)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))) 3)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 3) 1/3)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1))) 3))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.72%	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.91%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	25.69%	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series37.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	N	@	0	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
0.0ms	N	@	inf	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
0.0ms	N	@	-inf	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
0.0ms	N	@	inf	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
0.0ms	N	@	0	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`*-commutative`
584×	`unswap-sqr`
472×	`swap-sqr`
412×	`distribute-lft-in`
404×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	242	67
2	2561	67

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 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egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

636×	`log-prod`
562×	`associate-/r/`
528×	`*-commutative`
526×	`associate-/l/`
498×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	3682
1	354	3530
2	1178	3512
3	3963	3512

Stop Event

1×	node limit

Counts

138 → 89

Calls

Call 1

Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 4)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 6)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Outputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))
(.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))
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(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/4))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (exp.f64 2) (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 4)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 6)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/2)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize84.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(pow.f64 (-.f64 1 N) 3)
✓	0.07%	(.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N))
✓	0.72%	(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	38.22%	(/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))

Compiler

Compiled 129 to 84 computations (34.9% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	(/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
2.0ms	N	@	0	(/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
2.0ms	N	@	inf	(/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
0.0ms	N	@	-inf	(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	inf	(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))

rewrite117.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`associate-+l+`
540×	`+-commutative`
460×	`add-sqr-sqrt`
450×	`*-un-lft-identity`
446×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	196
1	453	192
2	6750	192

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
(.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N))
(pow.f64 (-.f64 1 N) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (/.f64 (-.f64 1 N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 N (+.f64 N -1)) (.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 N (+.f64 N -1)) (/.f64 1 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fma.f64 N N 1) N) (.f64 (+.f64 N (+.f64 N -1)) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) (.f64 (sqrt.f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))) (sqrt.f64 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 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simplify189.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-+r+`
1094×	`associate-+l+`
708×	`+-commutative`
528×	`distribute-lft-in`
522×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	402	10935
1	1165	9429
2	5430	9429

Stop Event

1×	node limit

Counts

193 → 238

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
-1
(-.f64 (*.f64 3 N) 1)
(-.f64 (+.f64 (.f64 3 N) (.f64 -3 (pow.f64 N 2))) 1)
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
1
(+.f64 1 (*.f64 -3 N))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (.f64 -3 N)))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3)))))
(*.f64 -1 (pow.f64 N 3))
(+.f64 (.f64 3 (pow.f64 N 2)) (.f64 -1 (pow.f64 N 3)))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3))))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3)))))
(*.f64 -1 (pow.f64 N 3))
(+.f64 (.f64 3 (pow.f64 N 2)) (.f64 -1 (pow.f64 N 3)))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3))))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)))) 1)
(-.f64 (/.f64 N (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (/.f64 (-.f64 1 N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))))
(.f64 1 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)))
(.f64 (+.f64 N (+.f64 N -1)) (.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (+.f64 N (+.f64 N -1)) (/.f64 1 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))))
(.f64 (-.f64 (fma.f64 N N 1) N) (.f64 (+.f64 N (+.f64 N -1)) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(.f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(.f64 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) 1)
(.f64 (sqrt.f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) (.f64 (sqrt.f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
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(/.f64 (.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (.f64 (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N)))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 1 (fma.f64 N N N))))))
(/.f64 (.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N))) (.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (.f64 (+.f64 N (-.f64 1 N)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 1 (fma.f64 N N N))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N)) (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2))) (.f64 (+.f64 1 (fma.f64 N N N)) (+.f64 N (-.f64 1 N))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 1 (fma.f64 N N N)))) (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2))) (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 1 (fma.f64 N N N)))) (+.f64 N (-.f64 1 N))))
(pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 N (+.f64 N -1))) (-.f64 (fma.f64 N N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N (+.f64 N -1)) 3) (pow.f64 (-.f64 (fma.f64 N N 1) N) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 N N 1) N) 3) (pow.f64 (+.f64 N (+.f64 N -1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))))
(exp.f64 (log.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))))
(+.f64 (-.f64 1 N) (+.f64 (.f64 (-.f64 1 N) (neg.f64 N)) (.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2))))
(+.f64 (-.f64 1 N) (+.f64 (.f64 (neg.f64 N) (-.f64 1 N)) (.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2))))
(+.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2)))
(+.f64 (.f64 (pow.f64 (-.f64 1 N) 2) 1) (.f64 (pow.f64 (-.f64 1 N) 2) (neg.f64 N)))
(+.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (neg.f64 N)) (.f64 (pow.f64 (-.f64 1 N) 2) 1))
(+.f64 (*.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2)) (pow.f64 (-.f64 1 N) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 N) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 1 N) 3))
(*.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))
(*.f64 (pow.f64 (-.f64 1 N) 3) 1)
(*.f64 (pow.f64 (-.f64 1 N) 3/2) (pow.f64 (-.f64 1 N) 3/2))
(.f64 (sqrt.f64 (-.f64 1 N)) (.f64 (sqrt.f64 (-.f64 1 N)) (pow.f64 (-.f64 1 N) 2)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) (.f64 (cbrt.f64 (-.f64 1 N)) (pow.f64 (-.f64 1 N) 2)))
(*.f64 (pow.f64 (-.f64 1 N) 2) (-.f64 1 N))
(.f64 (.f64 (pow.f64 (-.f64 1 N) 2) 1) (-.f64 1 N))
(.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (sqrt.f64 (-.f64 1 N))) (sqrt.f64 (-.f64 1 N)))
(.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (cbrt.f64 (-.f64 1 N)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 N)) 3) (pow.f64 (sqrt.f64 (-.f64 1 N)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) 3) (-.f64 1 N))
(/.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (-.f64 1 (.f64 N N))) (+.f64 1 N))
(/.f64 (*.f64 (pow.f64 (-.f64 1 N) 2) (-.f64 1 (pow.f64 N 3))) (+.f64 1 (fma.f64 N N N)))
(/.f64 (.f64 (-.f64 1 (.f64 N N)) (pow.f64 (-.f64 1 N) 2)) (+.f64 1 N))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 3)) (pow.f64 (-.f64 1 N) 2)) (+.f64 1 (fma.f64 N N N)))
(/.f64 (pow.f64 (-.f64 1 (*.f64 N N)) 3) (pow.f64 (+.f64 1 N) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 N 3)) 3) (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(sqrt.f64 (pow.f64 (-.f64 1 N) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 N) 3))))
(cbrt.f64 (pow.f64 (-.f64 1 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 N) 3)))
(exp.f64 (*.f64 3 (log1p.f64 (neg.f64 N))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 N) 3)))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))
-1
(-.f64 (*.f64 3 N) 1)
(fma.f64 3 N -1)
(fma.f64 N 3 -1)
(-.f64 (+.f64 (.f64 3 N) (.f64 -3 (pow.f64 N 2))) 1)
(+.f64 (fma.f64 3 N (.f64 (.f64 N N) -3)) -1)
(fma.f64 N 3 (fma.f64 (*.f64 N N) -3 -1))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(+.f64 (fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))) -1)
(+.f64 (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))) (fma.f64 N 3 -1))
(+.f64 (fma.f64 N 3 -1) (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))
(fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
(fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3)))
(fma.f64 N 3 (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(+.f64 (fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))) -1)
(+.f64 (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))) (fma.f64 N 3 -1))
(+.f64 (fma.f64 N 3 -1) (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))
(fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
(fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3)))
(fma.f64 N 3 (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(+.f64 (fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))) -1)
(+.f64 (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))) (fma.f64 N 3 -1))
(+.f64 (fma.f64 N 3 -1) (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
1
(+.f64 1 (*.f64 -3 N))
(+.f64 1 (*.f64 N -3))
(fma.f64 N -3 1)
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (.f64 -3 N)))
(fma.f64 3 (.f64 N N) (+.f64 1 (.f64 N -3)))
(fma.f64 3 (*.f64 N N) (fma.f64 N -3 1))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3)))))
(fma.f64 3 (*.f64 N N) (+.f64 1 (fma.f64 -3 N (neg.f64 (pow.f64 N 3)))))
(fma.f64 3 (*.f64 N N) (-.f64 (fma.f64 N -3 1) (pow.f64 N 3)))
(-.f64 (fma.f64 3 (*.f64 N N) (fma.f64 N -3 1)) (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 (.f64 3 (pow.f64 N 2)) (.f64 -1 (pow.f64 N 3)))
(fma.f64 3 (*.f64 N N) (neg.f64 (pow.f64 N 3)))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3))))
(fma.f64 3 (*.f64 N N) (fma.f64 -3 N (neg.f64 (pow.f64 N 3))))
(fma.f64 3 (.f64 N N) (-.f64 (.f64 N -3) (pow.f64 N 3)))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3)))))
(fma.f64 3 (*.f64 N N) (+.f64 1 (fma.f64 -3 N (neg.f64 (pow.f64 N 3)))))
(fma.f64 3 (*.f64 N N) (-.f64 (fma.f64 N -3 1) (pow.f64 N 3)))
(-.f64 (fma.f64 3 (*.f64 N N) (fma.f64 N -3 1)) (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 (.f64 3 (pow.f64 N 2)) (.f64 -1 (pow.f64 N 3)))
(fma.f64 3 (*.f64 N N) (neg.f64 (pow.f64 N 3)))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3))))
(fma.f64 3 (*.f64 N N) (fma.f64 -3 N (neg.f64 (pow.f64 N 3))))
(fma.f64 3 (.f64 N N) (-.f64 (.f64 N -3) (pow.f64 N 3)))
(+.f64 (.f64 3 (pow.f64 N 2)) (+.f64 1 (+.f64 (.f64 -3 N) (*.f64 -1 (pow.f64 N 3)))))
(fma.f64 3 (*.f64 N N) (+.f64 1 (fma.f64 -3 N (neg.f64 (pow.f64 N 3)))))
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(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 (fma.f64 N N (*.f64 (-.f64 1 N) (+.f64 1 (-.f64 N N)))) (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N (+.f64 N (fma.f64 N N 1)) (pow.f64 (fma.f64 N N 1) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2))) (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 1 (fma.f64 N N N)))) (+.f64 N (-.f64 1 N))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 1 (fma.f64 N N N))))) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (+.f64 N (-.f64 1 N))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N (+.f64 N (fma.f64 N N 1)) (pow.f64 (fma.f64 N N 1) 2))) (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (+.f64 1 (-.f64 N N))))
(pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 1)
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) 2)
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) 3)
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(pow.f64 (pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 3) 1/3)
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) 2))
(fabs.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 N (+.f64 N -1))) (-.f64 (fma.f64 N N 1) N)))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N)) 3))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N (+.f64 N -1)) 3) (pow.f64 (-.f64 (fma.f64 N N 1) N) 3)))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 N N 1) N) 3) (pow.f64 (+.f64 N (+.f64 N -1)) 3)))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(exp.f64 (log.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))) 1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N (+.f64 N -1)) (-.f64 (fma.f64 N N 1) N))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(+.f64 (-.f64 1 N) (+.f64 (.f64 (-.f64 1 N) (neg.f64 N)) (.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2))))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(+.f64 (-.f64 1 N) (+.f64 (.f64 (neg.f64 N) (-.f64 1 N)) (.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2))))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(+.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(+.f64 (.f64 (pow.f64 (-.f64 1 N) 2) 1) (.f64 (pow.f64 (-.f64 1 N) 2) (neg.f64 N)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(+.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (neg.f64 N)) (.f64 (pow.f64 (-.f64 1 N) 2) 1))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(+.f64 (*.f64 (neg.f64 N) (pow.f64 (-.f64 1 N) 2)) (pow.f64 (-.f64 1 N) 2))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 N) 3))) 1)
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(*.f64 1 (pow.f64 (-.f64 1 N) 3))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(*.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(*.f64 (pow.f64 (-.f64 1 N) 3) 1)
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(*.f64 (pow.f64 (-.f64 1 N) 3/2) (pow.f64 (-.f64 1 N) 3/2))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(.f64 (sqrt.f64 (-.f64 1 N)) (.f64 (sqrt.f64 (-.f64 1 N)) (pow.f64 (-.f64 1 N) 2)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) (.f64 (cbrt.f64 (-.f64 1 N)) (pow.f64 (-.f64 1 N) 2)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(*.f64 (pow.f64 (-.f64 1 N) 2) (-.f64 1 N))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(.f64 (.f64 (pow.f64 (-.f64 1 N) 2) 1) (-.f64 1 N))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (sqrt.f64 (-.f64 1 N))) (sqrt.f64 (-.f64 1 N)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (cbrt.f64 (-.f64 1 N)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 N)) 3) (pow.f64 (sqrt.f64 (-.f64 1 N)) 3))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) 3) (-.f64 1 N))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(/.f64 (.f64 (pow.f64 (-.f64 1 N) 2) (-.f64 1 (.f64 N N))) (+.f64 1 N))
(/.f64 (-.f64 1 (*.f64 N N)) (/.f64 (+.f64 1 N) (pow.f64 (-.f64 1 N) 2)))
(.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 1 N)) (-.f64 1 (.f64 N N)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 N) 2) (-.f64 1 (pow.f64 N 3))) (+.f64 1 (fma.f64 N N N)))
(/.f64 (pow.f64 (-.f64 1 N) 2) (/.f64 (+.f64 1 (fma.f64 N N N)) (-.f64 1 (pow.f64 N 3))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (fma.f64 N N 1))) (-.f64 1 (pow.f64 N 3)))
(/.f64 (.f64 (-.f64 1 (.f64 N N)) (pow.f64 (-.f64 1 N) 2)) (+.f64 1 N))
(/.f64 (-.f64 1 (*.f64 N N)) (/.f64 (+.f64 1 N) (pow.f64 (-.f64 1 N) 2)))
(.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 1 N)) (-.f64 1 (.f64 N N)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 3)) (pow.f64 (-.f64 1 N) 2)) (+.f64 1 (fma.f64 N N N)))
(/.f64 (pow.f64 (-.f64 1 N) 2) (/.f64 (+.f64 1 (fma.f64 N N N)) (-.f64 1 (pow.f64 N 3))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (fma.f64 N N 1))) (-.f64 1 (pow.f64 N 3)))
(/.f64 (pow.f64 (-.f64 1 (*.f64 N N)) 3) (pow.f64 (+.f64 1 N) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 N 3)) 3) (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 N 3)) 3) (pow.f64 (+.f64 N (fma.f64 N N 1)) 3))
(sqrt.f64 (pow.f64 (-.f64 1 N) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 N) 3)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 N) 3))))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(cbrt.f64 (pow.f64 (-.f64 1 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 N) 3)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)
(exp.f64 (*.f64 3 (log1p.f64 (neg.f64 N))))
(pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 N)))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 N))) 1))
(pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 N)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 N) 3)))
(+.f64 (-.f64 1 N) (*.f64 (neg.f64 N) (+.f64 (-.f64 1 N) (pow.f64 (-.f64 1 N) 2))))
(pow.f64 (-.f64 1 N) 3)

eval578.0ms (7%)

Compiler: Compiled 25456 to 16406 computations (35.6% saved)

prune218.0ms (2.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	823	9	832
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	824	13	837

Error

0.62%

Counts

837 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.67%	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
✓	1.56%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	39.55%	(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	21.21%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
	27.88%	(atan2.f64 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N))))) (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N (+.f64 N -1)))) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	0.72%	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
▶	1.07%	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
✓	0.72%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	48.7%	(atan2.f64 1 (+.f64 N 1))
▶	42.79%	(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
▶	41.06%	(atan2.f64 1 (*.f64 N N))
	1.55%	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
▶	45.4%	(cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3))

Compiler

Compiled 439 to 309 computations (29.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.28%	(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
✓	0.72%	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
✓	26.6%	(cbrt.f64 (+.f64 1 (fma.f64 N N N)))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series3.0ms (0%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
1.0ms	N	@	0	(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
0.0ms	N	@	inf	(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
0.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
0.0ms	N	@	0	(cbrt.f64 (+.f64 1 (fma.f64 N N N)))

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`*-commutative`
672×	`unswap-sqr`
502×	`swap-sqr`
448×	`distribute-lft-in`
438×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	244	55
2	2641	55

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)

Outputs

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

simplify164.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-+l+`
1286×	`associate-/r*`
866×	`associate-+r+`
648×	`associate-*r/`
636×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	445	9885
1	1198	8335
2	4370	8335

Stop Event

1×	node limit

Counts

197 → 297

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/3 N) 1)
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) 1))
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 1)
(.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (.f64 (pow.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6) (pow.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6)))
(.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (/.f64 1 (cbrt.f64 (-.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3/2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6) (pow.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(.f64 (.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6)) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))))
(/.f64 1 (/.f64 (cbrt.f64 (-.f64 1 (fma.f64 N N N))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) 1) (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) 1) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) 1))
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3)
(sqrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (.f64 N N) (.f64 1 (+.f64 1 N)))
(+.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) -1)
(+.f64 (+.f64 1 (*.f64 N N)) N)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(+.f64 (.f64 1 (+.f64 1 (.f64 N N))) N)
(+.f64 (.f64 (+.f64 1 (.f64 N N)) 1) N)
(-.f64 (+.f64 1 (fma.f64 N N N)) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(-.f64 (+.f64 2 (fma.f64 N N N)) 1)
(-.f64 (+.f64 (+.f64 1 (*.f64 N N)) (exp.f64 (log1p.f64 N))) 1)
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))
(.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) 3))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))
(.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) (.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N N))))
(.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(.f64 (.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 (fma.f64 N N N) -1)))
(*.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))
(.f64 (/.f64 1 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))) (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (/.f64 1 (neg.f64 (-.f64 1 (fma.f64 N N N)))))
(.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 N N N) 3))) (/.f64 1 (+.f64 -1 (neg.f64 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) 3) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (+.f64 1 (fma.f64 N N N)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (pow.f64 (fma.f64 N N N) 3))) (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 1 (fma.f64 N N N)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 1 (pow.f64 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)) 2))) (-.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (pow.f64 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)) 3))) (+.f64 1 (.f64 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)) (-.f64 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)) 1))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6)) (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (.f64 (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6)) (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4) (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4) (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
(.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2) (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2) (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4)) (*.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4)) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4)))
(.f64 (.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2)) (*.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/4) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3/2)))
(.f64 (.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6))) (.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6))))
(.f64 (pow.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 3/4) (pow.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 3/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 N N N))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 N N N) -1) (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)))
(/.f64 1 (/.f64 (neg.f64 (-.f64 1 (fma.f64 N N N))) (neg.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))))
(/.f64 1 (/.f64 (+.f64 -1 (neg.f64 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))) (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 N N N) 3)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (/.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (/.f64 (-.f64 1 (fma.f64 N N N)) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (/.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (/.f64 (-.f64 1 (fma.f64 N N N)) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (+.f64 (fma.f64 N N N) -1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))) (-.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 4)) (*.f64 (-.f64 1 (fma.f64 N N N)) (+.f64 1 (pow.f64 (fma.f64 N N N) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 3) 3)) (.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))) (-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 6)) (pow.f64 (fma.f64 N N N) 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 2) 3)) (*.f64 (-.f64 1 (fma.f64 N N N)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (neg.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 N N N) 3))) (+.f64 -1 (neg.f64 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) (+.f64 (fma.f64 N N N) -1))
(/.f64 (.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (sqrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) 3) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) 3) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (exp.f64 (.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) 1) (+.f64 (fma.f64 N N N) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) 1) (neg.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 N N N) 3))) 1) (+.f64 -1 (neg.f64 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (sqrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 4)) (/.f64 1 (-.f64 1 (fma.f64 N N N)))) (+.f64 1 (pow.f64 (fma.f64 N N N) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 2) 3)) (/.f64 1 (-.f64 1 (fma.f64 N N N)))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))) (-.f64 1 (pow.f64 (fma.f64 N N N) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))) (-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 6)) (pow.f64 (fma.f64 N N N) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) 1) (-.f64 1 (fma.f64 N N N)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (sqrt.f64 (-.f64 1 (fma.f64 N N N)))) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (*.f64 (cbrt.f64 (-.f64 1 (fma.f64 N N N))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (sqrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))) (sqrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))) (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))) (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (-.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (.f64 N N)) (-.f64 (+.f64 1 (*.f64 N N)) N))
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 1))
(/.f64 (-.f64 (.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 1 (-.f64 1 (fma.f64 N N N)))) (.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))) (+.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 N N)) 3) (pow.f64 N 3)) (+.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (-.f64 (.f64 N N) (.f64 (+.f64 1 (*.f64 N N)) N))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (neg.f64 (-.f64 1 (fma.f64 N N N)))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 -1 (neg.f64 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)

Outputs
1
(+.f64 (*.f64 1/3 N) 1)
(fma.f64 1/3 N 1)
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) 1))
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) 1))
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(fma.f64 1/3 N (+.f64 (fma.f64 2/9 (.f64 N N) 1) (.f64 -13/81 (pow.f64 N 3))))
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) (fma.f64 -13/81 (pow.f64 N 3) 1)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 (fma.f64 N N N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 4)) (/.f64 1 (-.f64 1 (fma.f64 N N N)))) (+.f64 1 (pow.f64 (fma.f64 N N N) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 4)) (*.f64 (-.f64 1 (fma.f64 N N N)) (+.f64 1 (pow.f64 (fma.f64 N N N) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 2) 3)) (/.f64 1 (-.f64 1 (fma.f64 N N N)))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 2) 3)) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 4))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (*.f64 (-.f64 1 (fma.f64 N N N)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))) (-.f64 1 (pow.f64 (fma.f64 N N N) 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))) (-.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (*.f64 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1) 1) (-.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 6)) (*.f64 (fma.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)) 1) (-.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))) (-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 6)) (pow.f64 (fma.f64 N N N) 3)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 3) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (fma.f64 N N N) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 3) 3)) (*.f64 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1) 1) (+.f64 (pow.f64 (fma.f64 N N N) 6) (-.f64 1 (pow.f64 (fma.f64 N N N) 3)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 N N N) 3) 3)) (*.f64 (fma.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (fma.f64 N N N) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) 1) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (sqrt.f64 (-.f64 1 (fma.f64 N N N)))) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (*.f64 (cbrt.f64 (-.f64 1 (fma.f64 N N N))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (sqrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))) (sqrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))) (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))) (cbrt.f64 (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (+.f64 1 (.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)) 1))
(/.f64 (-.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (fma.f64 N N -1) N))
(/.f64 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 -1 N))) (-.f64 (fma.f64 N N -1) N))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (.f64 N N)) (-.f64 (+.f64 1 (*.f64 N N)) N))
(/.f64 (.f64 (+.f64 1 (fma.f64 N N N)) (+.f64 1 (-.f64 (.f64 N N) N))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (+.f64 1 (fma.f64 N N N)) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (+.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 1))
(/.f64 (fma.f64 (+.f64 2 (fma.f64 N N N)) (+.f64 2 (fma.f64 N N N)) -1) (+.f64 1 (+.f64 2 (fma.f64 N N N))))
(/.f64 (expm1.f64 (*.f64 2 (log.f64 (+.f64 2 (fma.f64 N N N))))) (+.f64 3 (fma.f64 N N N)))
(/.f64 (-.f64 (.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 1 (-.f64 1 (fma.f64 N N N)))) (.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))) (+.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))) (+.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (-.f64 (/.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (-.f64 1 (fma.f64 N N N))) (/.f64 (/.f64 (pow.f64 (fma.f64 N N N) 4) (-.f64 1 (fma.f64 N N N))) (-.f64 1 (fma.f64 N N N)))) (+.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 N (fma.f64 N N -1)) (+.f64 N (fma.f64 N N -1)))) (/.f64 (/.f64 (pow.f64 (fma.f64 N N N) 4) (-.f64 1 (fma.f64 N N N))) (-.f64 1 (fma.f64 N N N)))) (+.f64 (/.f64 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 N N)) 3) (pow.f64 N 3)) (+.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (-.f64 (.f64 N N) (.f64 (+.f64 1 (*.f64 N N)) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 N N)) 3)) (fma.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N)) (.f64 N (-.f64 N (+.f64 1 (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N (-.f64 N (fma.f64 N N 1)) (*.f64 (fma.f64 N N 1) (fma.f64 N N 1))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (neg.f64 (-.f64 1 (fma.f64 N N N)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 -1 (neg.f64 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 -1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (-.f64 1 (fma.f64 N N N)) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(fabs.f64 (+.f64 1 (fma.f64 N N N)))
(fabs.f64 (+.f64 N (fma.f64 N N 1)))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(fma.f64 1 (fma.f64 N N N) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.71%	(atan2.f64 1 (*.f64 N N))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(atan2.f64 1 (*.f64 N N))
0.0ms	N	@	inf	(atan2.f64 1 (*.f64 N N))
0.0ms	N	@	-inf	(atan2.f64 1 (*.f64 N N))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`add-sqr-sqrt`
918×	`*-un-lft-identity`
868×	`pow1`
846×	`add-cube-cbrt`
838×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	111	13
2	1216	13

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(atan2.f64 1 (*.f64 N N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))))))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-/r*`
914×	`*-commutative`
688×	`associate-*r/`
636×	`associate-r`
484×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	364
1	75	364
2	371	364
3	1705	364
4	3941	364
5	5860	364

Stop Event

1×	node limit

Counts

28 → 18

Calls

Call 1

Inputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(.f64 1 (atan2.f64 1 (.f64 N N)))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(.f64 (sqrt.f64 (atan2.f64 1 (.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))

Outputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(atan2.f64 1 (*.f64 N N))
(.f64 1 (atan2.f64 1 (.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(.f64 (sqrt.f64 (atan2.f64 1 (.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(atan2.f64 1 (*.f64 N N))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(atan2.f64 1 (*.f64 N N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(atan2.f64 1 (*.f64 N N))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(atan2.f64 1 (*.f64 N N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.72%	(/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))
✓	0.72%	(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
✓	27.73%	(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
✓	36.23%	(.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))

Compiler

Compiled 89 to 53 computations (40.4% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
0.0ms	N	@	inf	(.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))
0.0ms	N	@	0	(.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))
0.0ms	N	@	-inf	(.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))
0.0ms	N	@	inf	(/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))

rewrite175.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`associate-/r*`
912×	`associate-/l*`
442×	`associate-+l+`
370×	`add-sqr-sqrt`
360×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
1	370	142
2	5092	142

Stop Event

1×	node limit

Counts

4 → 257

Calls

Call 1

Inputs
(.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))
(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))

Outputs
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simplify220.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l*`
856×	`associate-/l/`
770×	`associate-/r*`
648×	`associate-r`
506×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	644	18845
1	1692	17601

Stop Event

1×	node limit

Counts

305 → 409

Calls

Call 1

Inputs
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
1
(+.f64 1 (*.f64 2 N))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (.f64 2 N))))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N))))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N)))))
1
(+.f64 1 (*.f64 -1 N))
(+.f64 (.f64 2 (pow.f64 N 2)) (+.f64 1 (.f64 -1 N)))
(+.f64 (.f64 2 (pow.f64 N 2)) (+.f64 1 (+.f64 (.f64 -3 (pow.f64 N 3)) (*.f64 -1 N))))
(/.f64 -1 (pow.f64 N 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))))
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(.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (/.f64 1 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))
(.f64 (+.f64 N (+.f64 1 (.f64 N N))) (-.f64 N (fma.f64 N N -1)))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 1)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))))))
(/.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))) (/.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8))) (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12))) (/.f64 (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)))) (/.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)))))
(/.f64 (+.f64 N (+.f64 1 (*.f64 N N))) (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (*.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (-.f64 (pow.f64 (+.f64 1 N) 2) (neg.f64 (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 (neg.f64 (pow.f64 N 4)) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 1 N) 4) (.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (.f64 (pow.f64 (+.f64 1 N) 2) (neg.f64 (pow.f64 N 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12))) (neg.f64 (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) 1) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) 1) (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (sqrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))))) (sqrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))) (cbrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))) (cbrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(fma.f64 1 (pow.f64 (+.f64 1 N) 2) (neg.f64 (pow.f64 N 4)))
(fma.f64 (+.f64 1 N) (+.f64 1 N) (neg.f64 (pow.f64 N 4)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 4)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (neg.f64 (pow.f64 N 4)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) 1)
(*.f64 1 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(*.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2) (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(exp.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))))) 1)
(*.f64 1 (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 1)
(*.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -1/2) (pow.f64 (-.f64 N (fma.f64 N N -1)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2)) (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 -1 (/.f64 -1 (-.f64 N (fma.f64 N N -1))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (fma.f64 N N (-.f64 1 N)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) -1) (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -1))
(pow.f64 (-.f64 N (fma.f64 N N -1)) -1)
(pow.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 1)
(pow.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(exp.f64 (neg.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (.f64 (log1p.f64 (-.f64 N (.f64 N N))) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (-.f64 N (.f64 N N)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1)))))

Outputs
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (+.f64 N (*.f64 N N)))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (+.f64 N (*.f64 N N)))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (+.f64 N (*.f64 N N)))
1
(+.f64 1 (*.f64 2 N))
(+.f64 1 (*.f64 N 2))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 N N) (.f64 N 2)))
(+.f64 1 (*.f64 N (+.f64 N 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (.f64 2 N))))
(+.f64 1 (+.f64 (.f64 N N) (fma.f64 -1 (pow.f64 N 4) (.f64 N 2))))
(+.f64 (*.f64 N (+.f64 N 2)) (-.f64 1 (pow.f64 N 4)))
(*.f64 -1 (pow.f64 N 4))
(neg.f64 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 N 4)))
(-.f64 (*.f64 N N) (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(+.f64 (.f64 N N) (fma.f64 -1 (pow.f64 N 4) (.f64 N 2)))
(-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N))))
(+.f64 1 (+.f64 (.f64 N N) (fma.f64 -1 (pow.f64 N 4) (.f64 N 2))))
(+.f64 (*.f64 N (+.f64 N 2)) (-.f64 1 (pow.f64 N 4)))
(*.f64 -1 (pow.f64 N 4))
(neg.f64 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 N 4)))
(-.f64 (*.f64 N N) (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(+.f64 (.f64 N N) (fma.f64 -1 (pow.f64 N 4) (.f64 N 2)))
(-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N))))
(+.f64 1 (+.f64 (.f64 N N) (fma.f64 -1 (pow.f64 N 4) (.f64 N 2))))
(+.f64 (*.f64 N (+.f64 N 2)) (-.f64 1 (pow.f64 N 4)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (*.f64 (-.f64 1 N) N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (*.f64 (-.f64 1 N) N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (*.f64 (-.f64 1 N) N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (*.f64 (-.f64 1 N) N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (cbrt.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (cbrt.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) 1) (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (sqrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4))))) (sqrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4)))) (sqrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))) (cbrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))) (cbrt.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (+.f64 1 N) 4)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4)))) (cbrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4)))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (cbrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4))))) (cbrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4))))) (cbrt.f64 (+.f64 (pow.f64 N 8) (fma.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4) (pow.f64 (+.f64 1 N) 4)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 1)
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2)
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 3)
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 3) 1/3)
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 3))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 1))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(fma.f64 1 (pow.f64 (+.f64 1 N) 2) (neg.f64 (pow.f64 N 4)))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(fma.f64 (+.f64 1 N) (+.f64 1 N) (neg.f64 (pow.f64 N 4)))
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 4)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (neg.f64 (pow.f64 N 4)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 4)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (pow.f64 N 4))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) 1)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(*.f64 1 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2) (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 3)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(pow.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3) 1/3)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(exp.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))))) 1)
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(*.f64 1 (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 1)
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(*.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -1/2) (pow.f64 (-.f64 N (fma.f64 N N -1)) -1/2))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2)) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2)) (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2)) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(*.f64 -1 (/.f64 -1 (-.f64 N (fma.f64 N N -1))))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (fma.f64 N N (-.f64 1 N)))
(.f64 (fma.f64 N N (-.f64 1 N)) (/.f64 1 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))))
(/.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (pow.f64 (*.f64 (-.f64 1 N) N) 2)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))
(.f64 (+.f64 (fma.f64 N N (-.f64 1 N)) (pow.f64 (-.f64 N (.f64 N N)) 2)) (/.f64 1 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))))
(/.f64 (+.f64 (fma.f64 N N (-.f64 1 N)) (pow.f64 (.f64 (-.f64 1 N) N) 2)) (+.f64 1 (pow.f64 (.f64 (-.f64 1 N) N) 3)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) -1) (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) -1))
(pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 1) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(pow.f64 (-.f64 N (fma.f64 N N -1)) -1)
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(pow.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 1)
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(pow.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -1/2) 2)
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 3))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 3) 1/3)
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(sqrt.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))))))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) 3))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))
(exp.f64 (neg.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (-.f64 1 N) N))))
(exp.f64 (.f64 (log1p.f64 (-.f64 N (.f64 N N))) -1))
(exp.f64 (neg.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (-.f64 1 N) N))))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (-.f64 N (.f64 N N)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (-.f64 1 N) N))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(/.f64 1 (-.f64 N (fma.f64 N N -1)))

localize53.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.03%	(pow.f64 (-.f64 1 N) 3)
✓	0.07%	(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))
✓	0.72%	(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	38.22%	(/.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))

Compiler

Compiled 120 to 71 computations (40.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(/.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
0.0ms	N	@	-inf	(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (.f64 N N)))
0.0ms	N	@	inf	(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (.f64 N N)))
0.0ms	N	@	0	(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (.f64 N N)))
0.0ms	N	@	0	(/.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))

rewrite129.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`+-commutative`
520×	`add-sqr-sqrt`
508×	`*-un-lft-identity`
504×	`pow1`
488×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	183
1	506	167
2	7894	167

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))

(atan2.f64 (/.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))

(*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1))

Outputs

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1) N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))))))

simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-/r/`
1220×	`associate-/l/`
794×	`associate-+l+`
768×	`associate-+r+`
534×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	9672
1	951	8808
2	4543	8796

Stop Event

1×	node limit

Counts

150 → 206

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
-1
(-.f64 (*.f64 3 N) 1)
(-.f64 (+.f64 (.f64 3 N) (.f64 -3 (pow.f64 N 2))) 1)
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
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(/.f64 (.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 N (fma.f64 N N 1)))))
(/.f64 (.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (.f64 (fma.f64 2 N 1) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (+.f64 N (fma.f64 N N 1))))))
(/.f64 (.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (.f64 (-.f64 (fma.f64 2 N 1) (+.f64 N N)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (+.f64 N (fma.f64 N N 1))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N)) (fma.f64 2 N -1)) (+.f64 N (fma.f64 N N 1)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N)) (fma.f64 2 N -1)) (*.f64 (+.f64 N (fma.f64 N N 1)) (fma.f64 2 N 1)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N)) (fma.f64 2 N -1)) (*.f64 (+.f64 N (fma.f64 N N 1)) (-.f64 (fma.f64 2 N 1) (+.f64 N N))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 2 N -1)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 N (fma.f64 N N 1)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 2 N -1)) (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (+.f64 N (fma.f64 N N 1)))) (fma.f64 2 N 1)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 2 N -1)) (.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (+.f64 N (fma.f64 N N 1)))) (-.f64 (fma.f64 2 N 1) (+.f64 N N))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N))) (.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))) (-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) 3) (pow.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) 3)) (+.f64 (.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N))) (-.f64 (.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (-.f64 (fma.f64 N N 1) N))) (.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (neg.f64 (-.f64 (fma.f64 N N 1) N))))))
(pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 N -1)) (-.f64 (fma.f64 N N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 N N 1) N) 3) (pow.f64 (fma.f64 2 N -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 N -1) 3) (pow.f64 (-.f64 (fma.f64 N N 1) N) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))))
(exp.f64 (log.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))))
(fma.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(fma.f64 (+.f64 N N) (-.f64 (fma.f64 N N 1) N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 N (fma.f64 N N 1)))
(atan2.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (-.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N -2 1))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (-.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N -2 1))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (-.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N -2 1))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 -1 N)) 3)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 1 (*.f64 N -2))))) (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 (/.f64 (-.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N -2 1))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (*.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N -2 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 1 (fma.f64 N N N)))
-1
(-.f64 (*.f64 3 N) 1)
(fma.f64 3 N -1)
(fma.f64 N 3 -1)
(-.f64 (+.f64 (.f64 3 N) (.f64 -3 (pow.f64 N 2))) 1)
(+.f64 (fma.f64 3 N (.f64 (.f64 N N) -3)) -1)
(fma.f64 N 3 (fma.f64 (*.f64 N N) -3 -1))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(+.f64 (fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))) -1)
(+.f64 -1 (fma.f64 N 3 (fma.f64 (.f64 N N) -3 (.f64 2 (pow.f64 N 3)))))
(+.f64 (fma.f64 N 3 -1) (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))
(fma.f64 (.f64 N N) -3 (.f64 2 (pow.f64 N 3)))
(fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
(fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3)))
(fma.f64 N 3 (fma.f64 (.f64 N N) -3 (.f64 2 (pow.f64 N 3))))
(fma.f64 N 3 (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(+.f64 (fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))) -1)
(+.f64 -1 (fma.f64 N 3 (fma.f64 (.f64 N N) -3 (.f64 2 (pow.f64 N 3)))))
(+.f64 (fma.f64 N 3 -1) (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(*.f64 2 (pow.f64 N 3))
(+.f64 (.f64 2 (pow.f64 N 3)) (.f64 -3 (pow.f64 N 2)))
(fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))
(fma.f64 (.f64 N N) -3 (.f64 2 (pow.f64 N 3)))
(fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3)))
(+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2))))
(fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3)))
(fma.f64 N 3 (fma.f64 (.f64 N N) -3 (.f64 2 (pow.f64 N 3))))
(fma.f64 N 3 (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(-.f64 (+.f64 (.f64 3 N) (+.f64 (.f64 2 (pow.f64 N 3)) (*.f64 -3 (pow.f64 N 2)))) 1)
(+.f64 (fma.f64 3 N (fma.f64 2 (pow.f64 N 3) (.f64 (.f64 N N) -3))) -1)
(+.f64 -1 (fma.f64 N 3 (fma.f64 (.f64 N N) -3 (.f64 2 (pow.f64 N 3)))))
(+.f64 (fma.f64 N 3 -1) (fma.f64 2 (pow.f64 N 3) (.f64 N (.f64 N -3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))))) 1)
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(-.f64 (/.f64 (fma.f64 N N 1) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))) (/.f64 N (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 1 (/.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(.f64 (-.f64 (fma.f64 N N 1) N) (.f64 (fma.f64 2 N -1) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 1 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 2 N -1))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(.f64 (fma.f64 2 N -1) (.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (fma.f64 N 2 -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
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(/.f64 (.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (.f64 (-.f64 (fma.f64 2 N 1) (+.f64 N N)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (+.f64 N (fma.f64 N N 1))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N (+.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N 1) 2))) (/.f64 (fma.f64 N 2 -1) (+.f64 (fma.f64 N 2 1) (.f64 N -2))))
(/.f64 (fma.f64 N 2 -1) (*.f64 (/.f64 (+.f64 N (+.f64 N (fma.f64 N -2 1))) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (fma.f64 N (+.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N 1) 2))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N))) (.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))) (-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N))) (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (fma.f64 N N 1) N))) (-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1)) (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 1)) (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 1))))
(.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1)) (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 1))) (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 1)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) 3) (pow.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) 3)) (+.f64 (.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N))) (-.f64 (.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) (neg.f64 (-.f64 (fma.f64 N N 1) N))) (.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (neg.f64 (-.f64 (fma.f64 N N 1) N))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) 3) (pow.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) 3)) (fma.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) (-.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) 3) (pow.f64 (-.f64 N (fma.f64 N N 1)) 3)) (fma.f64 (-.f64 (fma.f64 N N 1) N) (.f64 (.f64 (.f64 N N) 4) (-.f64 (fma.f64 N N 1) N)) (.f64 (-.f64 N (fma.f64 N N 1)) (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 -1 (+.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (.f64 N (.f64 2 (-.f64 (fma.f64 N N 1) N))) 3) (pow.f64 (-.f64 N (fma.f64 N N 1)) 3)) (fma.f64 (-.f64 (fma.f64 N N 1) N) (.f64 (.f64 (.f64 N N) 4) (-.f64 (fma.f64 N N 1) N)) (.f64 (-.f64 (fma.f64 N N 1) N) (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 1)))))
(pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 1)
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))) 2)
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))) 3)
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 3) 1/3)
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 2))
(fabs.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 N -1)) (-.f64 (fma.f64 N N 1) N)))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)))))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1)) 3))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 N N 1) N) 3) (pow.f64 (fma.f64 2 N -1) 3)))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 N -1) 3) (pow.f64 (-.f64 (fma.f64 N N 1) N) 3)))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(exp.f64 (log.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))) 1))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 2 N -1))))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(fma.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))
(fma.f64 (+.f64 N N) (-.f64 (fma.f64 N N 1) N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(*.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N 2 -1))

localize72.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.81%	(pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
✓	11.57%	(/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
✓	18.25%	(cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3))
✓	26.97%	(*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))

Compiler

Compiled 182 to 117 computations (35.7% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
1.0ms	N	@	-inf	(pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
1.0ms	N	@	0	(pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
0.0ms	N	@	inf	(/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
0.0ms	N	@	-inf	(cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3))

rewrite126.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`associate-+l+`
584×	`+-commutative`
518×	`add-sqr-sqrt`
504×	`*-un-lft-identity`
498×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	278
1	533	278
2	7269	278

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))
(cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3))
(/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (fma.f64 N N 1)) (.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (neg.f64 N)) (.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (fma.f64 N N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 N N 1) (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (.f64 (neg.f64 N) (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 N) (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (.f64 (fma.f64 N N 1) (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (+.f64 N N)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 N N 1) N) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 -1 (+.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N)) (.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 -1 (+.f64 N N))) (+.f64 N (fma.f64 N N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 -1 (+.f64 N N))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 N (fma.f64 N N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N))) (+.f64 N (fma.f64 N N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 N (fma.f64 N N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (neg.f64 (+.f64 N N)))) (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 (fma.f64 N 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simplify145.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-/l/`
930×	`associate-/r/`
622×	`associate-r`
620×	`+-commutative`
614×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	354	11734
1	1002	11572
2	4844	11572

Stop Event

1×	node limit

Counts

176 → 206

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (*.f64 -1 N)) 3)))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (*.f64 -1 N)) 3)))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (*.f64 -1 N)) 3)))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 N N 1) (.f64 -1 N)) (+.f64 1 (.f64 -2 N))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (*.f64 -1 N)) 3)))) (+.f64 (fma.f64 N N N) 1))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (*.f64 -1 (pow.f64 N 3))))
(+.f64 N (+.f64 1 (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 -1 (pow.f64 N 3)))))
(/.f64 1 (pow.f64 N 2))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 5)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 6)) (/.f64 1 (pow.f64 N 5))))
(/.f64 1 (pow.f64 N 2))
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(atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (.f64 (log.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))) 1/3))
(log1p.f64 (expm1.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))) 1)
(*.f64 (+.f64 -1 (+.f64 N N)) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 1 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 1)
(.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) (.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (sqrt.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) 2) (.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 -1 (+.f64 N N)))
(*.f64 (+.f64 1 (neg.f64 (+.f64 N N))) (/.f64 1 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (/.f64 (+.f64 -1 (+.f64 N N)) (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 2)) (/.f64 (+.f64 -1 (+.f64 N N)) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(.f64 (/.f64 1 (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N))))) (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 N (-.f64 1 N))))
(*.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 6) (pow.f64 (-.f64 1 N) 6))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 9) (pow.f64 (-.f64 1 N) 9))) (+.f64 (pow.f64 (.f64 N (-.f64 1 N)) 3) (+.f64 (pow.f64 (-.f64 1 N) 6) (pow.f64 N 6))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N))))) (/.f64 (sqrt.f64 (+.f64 -1 (+.f64 N N))) (-.f64 N (-.f64 1 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) 2) (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (/.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) (sqrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) 2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) 2) (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N))))) (/.f64 (cbrt.f64 (+.f64 -1 (+.f64 N N))) (-.f64 N (-.f64 1 N))))
(pow.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 -1 (+.f64 N N))) -1)
(neg.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (+.f64 N N)) 3) (pow.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3))) 1)
(.f64 1 (pow.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3))
(.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 2))
(.f64 (pow.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3) 1)
(.f64 (sqrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) (.f64 (sqrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 2)))
(.f64 (pow.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3/2) (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3/2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) 2) (.f64 (cbrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 2)))
(.f64 (pow.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 2) (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))
(.f64 (.f64 (pow.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 2) 1) (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))
(.f64 (.f64 (pow.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 2) (sqrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))) (sqrt.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))))
(.f64 (.f64 (pow.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 2) (pow.f64 (cbrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) 2)) (cbrt.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))))
(.f64 (pow.f64 (sqrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) 3) (pow.f64 (sqrt.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1)))) 2) 3) (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))
(sqrt.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3)))
(exp.f64 (.f64 3 (log.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3)))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
(atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (.f64 2 N) 1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N N) 1))
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(pow.f64 (atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3)))
(pow.f64 (atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (.f64 3 (log.f64 (atan2.f64 (/.f64 (.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))))
(pow.f64 (atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))))) 1))
(pow.f64 (atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 (/.f64 (*.f64 (+.f64 -1 (+.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 N (fma.f64 N N 1))) 3)))
(pow.f64 (atan2.f64 (*.f64 (/.f64 (fma.f64 2 N -1) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 (*.f64 (fma.f64 N 2 -1) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))) (+.f64 1 (fma.f64 N N N))) 3)

eval727.0ms (8.8%)

Compiler: Compiled 39694 to 26586 computations (33% saved)

prune501.0ms (6.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1188	6	1194
Fresh	1	3	4
Picked	1	0	1
Done	3	5	8
Total	1193	14	1207

Error

0.62%

Counts

1207 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	1.67%	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	41.17%	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	84.57%	(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (neg.f64 (pow.f64 N 3)))) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	21.21%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	0.72%	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
✓	1.07%	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
✓	0.72%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	40.66%	(atan2.f64 1 (+.f64 N (*.f64 N N)))
	48.7%	(atan2.f64 1 (+.f64 N 1))
	82.73%	(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (neg.f64 (pow.f64 N 4))))
✓	41.06%	(atan2.f64 1 (*.f64 N N))
	50.06%	(atan2.f64 1 1)
	1.55%	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
	45.38%	(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3))

Compiler

Compiled 194 to 141 computations (27.3% saved)

regimes49.0ms (0.6%)

Counts

23 → 1

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (neg.f64 (pow.f64 N 4))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(atan2.f64 (.f64 (/.f64 (+.f64 N (+.f64 N -1)) (fma.f64 N N (.f64 (-.f64 1 N) (+.f64 N (-.f64 1 N))))) (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 N (+.f64 N -1)))) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (neg.f64 (pow.f64 N 3)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (/.f64 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 N N) -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3))
(cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (/.f64 (+.f64 N (+.f64 N -1)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N)) (+.f64 1 (fma.f64 N N N))) 3))
(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))

Outputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))

Calls

2 calls:

37.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.72%	1	`N`
0.72%	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 388 to 253 computations (34.8% saved)

regimes11.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Outputs
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Calls

2 calls:

7.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.72%	1	`N`
0.72%	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 73 to 45 computations (38.4% saved)

regimes12.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))

Outputs
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.18%	3	`N`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch48.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	9.934642638339098e-7	9.244081886243823
25.0ms	-148638832.72187856	-2.404924206567394e-8

Results

44.0ms

304×

body

256

valid

Compiler

Compiled 316 to 237 computations (25% saved)

regimes15.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))

Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (*.f64 N N))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.57%	3	`N`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch90.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
66.0ms	9.934642638339098e-7	9.244081886243823
24.0ms	-148638832.72187856	-2.404924206567394e-8

Results

86.0ms

304×

body

256

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -55.4b remaining (-3827%)

Threshold costs -55.4b (-3827%)

Counts

2 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))

Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.26%	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	9.934642638339098e-7	9.244081886243823
23.0ms	-148638832.72187856	-2.404924206567394e-8

Results

42.0ms

304×

body

256

valid

Compiler

Compiled 240 to 199 computations (17.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
6×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	206
1	47	206

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (.f64 N N)))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (.f64 N N))))
(atan2.f64 1 1)

Outputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (.f64 N N)))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 1))
(atan2.f64 1 1)

Compiler

Compiled 83 to 62 computations (25.3% saved)

soundness101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1060×	`associate-+l+`
1056×	`associate-*l/`
1030×	`associate-+r+`
788×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	7738
1	817	7158
2	3722	7134

Stop Event

1×	node limit

Compiler

Compiled 90 to 48 computations (46.7% saved)

end53.0ms (0.6%)

Compiler: Compiled 78 to 54 computations (30.8% saved)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Details

analyze0.0ms (0%)

sample2.1s (26%)

preprocess45.0ms (0.5%)

simplify21.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite76.0ms (0.9%)

simplify122.0ms (1.5%)

eval119.0ms (1.4%)

prune24.0ms (0.3%)

localize17.0ms (0.2%)

series0.0ms (0%)

rewrite53.0ms (0.6%)

simplify71.0ms (0.9%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite97.0ms (1.2%)

simplify130.0ms (1.6%)

eval147.0ms (1.8%)

prune48.0ms (0.6%)

localize17.0ms (0.2%)

series0.0ms (0%)

rewrite62.0ms (0.8%)

simplify66.0ms (0.8%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite71.0ms (0.9%)

simplify67.0ms (0.8%)

localize13.0ms (0.2%)

series0.0ms (0%)

rewrite85.0ms (1%)

simplify105.0ms (1.3%)

localize17.0ms (0.2%)

series37.0ms (0.5%)

rewrite79.0ms (1%)

simplify85.0ms (1%)

localize84.0ms (1%)

series8.0ms (0.1%)

rewrite117.0ms (1.4%)

simplify189.0ms (2.3%)

eval578.0ms (7%)

prune218.0ms (2.6%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite115.0ms (1.4%)

simplify164.0ms (2%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite77.0ms (0.9%)

simplify67.0ms (0.8%)

localize38.0ms (0.5%)

series4.0ms (0%)

rewrite175.0ms (2.1%)

simplify220.0ms (2.7%)

localize53.0ms (0.6%)

series2.0ms (0%)

rewrite129.0ms (1.6%)

simplify111.0ms (1.3%)

localize72.0ms (0.9%)

series5.0ms (0.1%)

rewrite126.0ms (1.5%)

simplify145.0ms (1.8%)

eval727.0ms (8.8%)

prune501.0ms (6.1%)

regimes49.0ms (0.6%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch48.0ms (0.6%)

regimes15.0ms (0.2%)

bsearch90.0ms (1.1%)

regimes10.0ms (0.1%)

bsearch45.0ms (0.5%)

simplify8.0ms (0.1%)

soundness101.0ms (1.2%)

end53.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21