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 (27.1%)

Results

977.0ms	2148×	body	2048	valid
686.0ms	4561×	body	256	valid
348.0ms	1044×	body	1024	valid
125.0ms	503×	body	512	valid

Bogosity

preprocess11.0ms (0.1%)

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))

eval0.0ms (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

14.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(-.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
✓	1.3b	(-.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))

rewrite314.0ms (4%)

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)))))))

simplify98.0ms (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

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))

eval91.0ms (1.1%)

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

0.4b

Counts

180 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	14.0b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(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)))

rewrite54.0ms (0.7%)

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)))))))))

simplify73.0ms (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)))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	1.7b	(+.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	@	0	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.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)))

rewrite106.0ms (1.3%)

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))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N 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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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 (log.f64 (+.f64 1 (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 N N (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 N 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))))))

simplify155.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1192×	`+-commutative`
960×	`associate--r+`
852×	`associate-+r-`
780×	`associate-+l-`
500×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	8462
1	1688	7700
2	6393	7544

Stop Event

1×	node limit

Counts

238 → 313

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

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

eval217.0ms (2.7%)

Compiler: Compiled 9577 to 6023 computations (37.1% saved)

prune86.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	329	6	335
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	332	6	338

Error

0.3b

Counts

338 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	1.6b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
▶	13.0b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	30.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
▶	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	10.4b	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))

Compiler

Compiled 168 to 120 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.4b	(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)))

rewrite59.0ms (0.7%)

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)))))))))

simplify57.0ms (0.7%)

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)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.0b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	1.7b	(-.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	@	-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	@	0	(-.f64 (+.f64 N 1) N)
0.0ms	N	@	inf	(-.f64 (+.f64 N 1) N)

rewrite115.0ms (1.4%)

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 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(pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 N) (+.f64 (+.f64 N 1) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 N) (+.f64 (+.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 N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 N) 1 N) (+.f64 1 (-.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (+.f64 1 (-.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (+.f64 1 (-.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (-.f64 N N))) (sqrt.f64 (+.f64 1 (-.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N N))) 2) (cbrt.f64 (+.f64 1 (-.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (/.f64 1 (+.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (+.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 N (+.f64 N 1))) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (-.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (+.f64 N (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (+.f64 N 1)) (/.f64 (+.f64 N (+.f64 N 1)) (+.f64 1 (-.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))) (/.f64 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simplify78.0ms (1%)

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

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	1.7b	(+.f64 N (-.f64 1 N))
✓	17.3b	(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
✓	21.5b	(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))

Compiler

Compiled 88 to 52 computations (40.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`associate-+l+`
474×	`+-commutative`
418×	`add-sqr-sqrt`
410×	`*-un-lft-identity`
406×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	141
1	408	133
2	6052	133

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

Inputs

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

(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) 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simplify158.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-*r/`
930×	`associate-/r*`
912×	`*-commutative`
872×	`associate-*l/`
708×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	7553
1	798	7125
2	3777	7029

Stop Event

1×	node limit

Counts

159 → 208

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.5b	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
✓	10.4b	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))

Compiler

Compiled 42 to 28 computations (33.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
1.0ms	N	@	inf	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
0.0ms	N	@	0	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
0.0ms	N	@	0	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
0.0ms	N	@	-inf	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`*-commutative`
664×	`unswap-sqr`
498×	`swap-sqr`
424×	`distribute-lft-in`
414×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	244	69
2	2634	69

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1096×	`associate-+r+`
1048×	`associate-+l+`
1012×	`associate-/r*`
748×	`distribute-lft-in`
746×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	5144
1	365	4300
2	1356	4132
3	4282	4132

Stop Event

1×	node limit

Counts

130 → 92

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

localize42.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	16.6b	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
2.0ms	N	@	0	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms	N	@	inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms	N	@	-inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms	N	@	inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`*-commutative`
664×	`unswap-sqr`
498×	`swap-sqr`
424×	`distribute-lft-in`
414×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	244	46
2	2634	46

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(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)))) 3)

Outputs

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

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

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-+r+`
1246×	`associate-+l+`
1108×	`associate-/r*`
718×	`associate-/l*`
590×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	3700
1	364	2796
2	1289	2692
3	3302	2692

Stop Event

1×	node limit

Counts

88 → 97

Calls

Call 1

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

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

eval660.0ms (8.3%)

Compiler: Compiled 31430 to 20587 computations (34.5% saved)

prune237.0ms (3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1036	10	1046
Fresh	0	1	1
Picked	0	1	1
Done	2	2	4
Total	1038	14	1052

Error

0.3b

Counts

1052 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	1.6b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
▶	23.4b	(atan2.f64 (/.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 N 1) (*.f64 N N)))
✓	13.0b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	55.7b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (.f64 N (+.f64 N 2)) (pow.f64 N 4)) (+.f64 1 (-.f64 N (.f64 N N)))))
✓	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	30.7b	(atan2.f64 1 (+.f64 N 1))
	25.0b	(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
▶	26.8b	(atan2.f64 1 (*.f64 N N))
▶	2.0b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
	1.9b	(.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))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (.f64 (sqrt.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)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
	1.7b	(.f64 (pow.f64 (cbrt.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 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
	1.3b	(*.f64 (sqrt.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)))) 3/2))

Compiler

Compiled 562 to 411 computations (26.9% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	16.1b	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (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	46
1	242	46
2	2561	46

Stop Event

1×	node limit

Counts

2 → 64

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)

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

((#(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 (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 (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)))))) (#(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 (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)))))))))) (#(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 *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(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 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)))))))))

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-+r+`
1270×	`associate-+l+`
972×	`unswap-sqr`
562×	`associate-/r/`
538×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	3286
1	338	2950
2	1052	2810
3	4295	2810

Stop Event

1×	node limit

Counts

88 → 90

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))))
(+.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)))))

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)))
(+.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))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (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)))))
(*.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 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (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))))))
(*.f64 (fabs.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))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(*.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 (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 (fabs.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))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(*.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))
(*.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 (fabs.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))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(*.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 (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 (fabs.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))))))
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(*.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 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (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)))
(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)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(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))

rewrite46.0ms (0.6%)

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))))))))

simplify65.0ms (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))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (.f64 N (+.f64 N 2)) (pow.f64 N 4)) (+.f64 1 (-.f64 N (.f64 N N)))))
	1.7b	(+.f64 N (-.f64 1 N))
✓	17.3b	(-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4))
✓	21.5b	(/.f64 (-.f64 (.f64 N (+.f64 N 2)) (pow.f64 N 4)) (+.f64 1 (-.f64 N (.f64 N N))))

Compiler

Compiled 88 to 48 computations (45.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`associate-+l+`
506×	`+-commutative`
426×	`add-sqr-sqrt`
418×	`*-un-lft-identity`
416×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	141
1	413	141
2	6177	141

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs

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

(-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 N (/.f64 (+.f64 N (-.f64 1 (*.f64 N N))) (+.f64 N 2))) (neg.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) (/.f64 N (/.f64 (+.f64 N (-.f64 1 (*.f64 N N))) (+.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (-.f64 1 (*.f64 N N))) (+.f64 N 2))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) (sqrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2) (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 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simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1438×	`associate-*r/`
1340×	`associate-+r+`
1174×	`associate-*l/`
784×	`+-commutative`
732×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	8977
1	913	7807
2	4272	7767

Stop Event

1×	node limit

Counts

171 → 224

Calls

Call 1

Inputs
(*.f64 2 N)
(+.f64 (.f64 -1 (pow.f64 N 2)) (.f64 2 N))
(+.f64 (.f64 -1 (pow.f64 N 2)) (+.f64 (.f64 3 (pow.f64 N 3)) (*.f64 2 N)))
(+.f64 (.f64 -5 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 2)) (+.f64 (.f64 3 (pow.f64 N 3)) (.f64 2 N))))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (+.f64 (pow.f64 N 2) (/.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 (+.f64 (pow.f64 N 2) (/.f64 1 (pow.f64 N 2)))))
(*.f64 2 N)
(+.f64 (pow.f64 N 2) (*.f64 2 N))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(+.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 (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 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N (+.f64 N 2)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 N 2) (*.f64 2 N)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 N 2) (*.f64 2 N)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 N 2) (*.f64 2 N)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 N 2) (*.f64 2 N)) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (.f64 N (-.f64 2 (.f64 -1 N))) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (.f64 N (-.f64 2 (.f64 -1 N))) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (.f64 N (-.f64 2 (.f64 -1 N))) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (.f64 N (-.f64 2 (.f64 -1 N))) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(+.f64 (/.f64 N (/.f64 (+.f64 N (-.f64 1 (.f64 N N))) (+.f64 N 2))) (neg.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 N (/.f64 (+.f64 N (-.f64 1 (.f64 N N))) (+.f64 N 2))))
(-.f64 (/.f64 N (/.f64 (+.f64 N (-.f64 1 (.f64 N N))) (+.f64 N 2))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))) 1)
(.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (/.f64 1 (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 1 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N)))) 1)
(.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N))))) (sqrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2) (.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N))))) 2) (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 1 (+.f64 N (-.f64 1 (.f64 N N)))) (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))))
(.f64 (neg.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (/.f64 1 (-.f64 -1 (.f64 N (-.f64 1 N)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (-.f64 1 (pow.f64 (.f64 N (-.f64 1 N)) 2))) (-.f64 1 (*.f64 N (-.f64 1 N))))
(.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 1 (pow.f64 (.f64 N (-.f64 1 N)) 3))) (+.f64 1 (.f64 (.f64 N (-.f64 1 N)) (-.f64 (*.f64 N (-.f64 1 N)) 1))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 1) (/.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))
(pow.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 N (-.f64 1 (*.f64 N N))) (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) -1)
(neg.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (-.f64 -1 (*.f64 N (-.f64 1 N)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) 3) (pow.f64 (+.f64 N (-.f64 1 (*.f64 N N))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))
(exp.f64 (-.f64 (log.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (log1p.f64 (*.f64 N (-.f64 1 N)))))
(exp.f64 (.f64 (-.f64 (log.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (log1p.f64 (.f64 N (-.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))
(+.f64 (*.f64 N (+.f64 N 2)) (neg.f64 (pow.f64 N 4)))
(+.f64 (.f64 N (+.f64 N 2)) (.f64 (neg.f64 (pow.f64 N 4)) 1))
(+.f64 (*.f64 N (+.f64 N 2)) (+.f64 (neg.f64 (pow.f64 N 4)) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (.f64 N (+.f64 N 2)) (+.f64 (neg.f64 (pow.f64 N 4)) (fma.f64 (.f64 N (neg.f64 N)) (*.f64 N N) (pow.f64 N 4))))
(+.f64 (*.f64 N (+.f64 N 2)) (+.f64 (neg.f64 (pow.f64 N 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (.f64 N (+.f64 N 2)) (+.f64 (.f64 (neg.f64 (pow.f64 N 4)) 1) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (.f64 N (+.f64 N 2)) (+.f64 (.f64 (neg.f64 (pow.f64 N 4)) 1) (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4))))
(+.f64 (.f64 N (+.f64 N 2)) (+.f64 (.f64 (neg.f64 (pow.f64 N 4)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4)))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4)))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4)))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4)) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4)) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4)) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4)) (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4)) (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4)) (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (.f64 N N) (+.f64 (.f64 N 2) (neg.f64 (pow.f64 N 4))))
(+.f64 (.f64 N N) (-.f64 (.f64 N 2) (pow.f64 N 4)))
(+.f64 (.f64 N N) (+.f64 (.f64 (*.f64 N 2) 1) (neg.f64 (pow.f64 N 4))))
(+.f64 (.f64 N N) (+.f64 (.f64 N 2) (*.f64 (neg.f64 (pow.f64 N 4)) 1)))
(+.f64 (.f64 N N) (+.f64 (.f64 (.f64 N 2) 1) (.f64 (neg.f64 (pow.f64 N 4)) 1)))
(+.f64 (.f64 N N) (+.f64 (+.f64 (.f64 N 2) (neg.f64 (pow.f64 N 4))) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (.f64 N N) (+.f64 (-.f64 (.f64 N 2) (pow.f64 N 4)) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (.f64 N N) (+.f64 (+.f64 (.f64 N 2) (neg.f64 (pow.f64 N 4))) (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4))))
(+.f64 (.f64 N N) (+.f64 (-.f64 (.f64 N 2) (pow.f64 N 4)) (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4))))
(+.f64 (.f64 N N) (+.f64 (+.f64 (.f64 N 2) (neg.f64 (pow.f64 N 4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (.f64 N N) (+.f64 (-.f64 (.f64 N 2) (pow.f64 N 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (.f64 N N) (-.f64 (.f64 (*.f64 N 2) 1) (pow.f64 N 4)))
(+.f64 (.f64 N 2) (-.f64 (.f64 N N) (pow.f64 N 4)))
(+.f64 (.f64 N 2) (+.f64 (.f64 N N) (*.f64 (neg.f64 (pow.f64 N 4)) 1)))
(+.f64 (-.f64 (.f64 N N) (pow.f64 N 4)) (.f64 N 2))
(+.f64 (-.f64 (.f64 N N) (pow.f64 N 4)) (.f64 (*.f64 N 2) 1))
(+.f64 (neg.f64 (pow.f64 N 4)) (*.f64 N (+.f64 N 2)))
(+.f64 (neg.f64 (pow.f64 N 4)) (+.f64 (*.f64 N (+.f64 N 2)) (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4))))
(+.f64 (neg.f64 (pow.f64 N 4)) (+.f64 (.f64 N (+.f64 N 2)) (fma.f64 (.f64 N (neg.f64 N)) (*.f64 N N) (pow.f64 N 4))))
(+.f64 (neg.f64 (pow.f64 N 4)) (+.f64 (*.f64 N (+.f64 N 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4))))
(+.f64 (+.f64 (.f64 N 2) (neg.f64 (pow.f64 N 4))) (.f64 N N))
(+.f64 (-.f64 (.f64 N 2) (pow.f64 N 4)) (.f64 N N))
(+.f64 (.f64 (neg.f64 (pow.f64 N 4)) 1) (.f64 N (+.f64 N 2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 N 4)) 1 (pow.f64 N 4)) (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))))
(+.f64 (fma.f64 (.f64 N (neg.f64 N)) (.f64 N N) (pow.f64 N 4)) (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8)) (pow.f64 N 4)) (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))))
(*.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) 1)
(*.f64 1 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2) (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))))
(.f64 (-.f64 (pow.f64 (.f64 N (+.f64 N 2)) 2) (pow.f64 N 8)) (/.f64 1 (fma.f64 N (+.f64 N 2) (pow.f64 N 4))))
(.f64 (-.f64 (pow.f64 (.f64 N (+.f64 N 2)) 3) (pow.f64 N 12)) (/.f64 1 (+.f64 (pow.f64 (.f64 N (+.f64 N 2)) 2) (.f64 (pow.f64 N 4) (fma.f64 N (+.f64 N 2) (pow.f64 N 4))))))
(.f64 (+.f64 (.f64 N N) (sqrt.f64 (.f64 N (+.f64 N 2)))) (-.f64 (sqrt.f64 (.f64 N (+.f64 N 2))) (*.f64 N N)))
(/.f64 1 (/.f64 (fma.f64 N (+.f64 N 2) (pow.f64 N 4)) (-.f64 (pow.f64 (*.f64 N (+.f64 N 2)) 2) (pow.f64 N 8))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 N (+.f64 N 2)) 2) (.f64 (pow.f64 N 4) (fma.f64 N (+.f64 N 2) (pow.f64 N 4)))) (-.f64 (pow.f64 (*.f64 N (+.f64 N 2)) 3) (pow.f64 N 12))))
(/.f64 (-.f64 (pow.f64 (*.f64 N (+.f64 N 2)) 2) (pow.f64 N 8)) (fma.f64 N (+.f64 N 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (.f64 N (+.f64 N 2)) 3) (pow.f64 N 12)) (+.f64 (pow.f64 (.f64 N (+.f64 N 2)) 2) (*.f64 (pow.f64 N 4) (fma.f64 N (+.f64 N 2) (pow.f64 N 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 N (+.f64 N 2)) 2) (pow.f64 N 8))) (neg.f64 (fma.f64 N (+.f64 N 2) (pow.f64 N 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 N (+.f64 N 2)) 3) (pow.f64 N 12))) (neg.f64 (+.f64 (pow.f64 (.f64 N (+.f64 N 2)) 2) (*.f64 (pow.f64 N 4) (fma.f64 N (+.f64 N 2) (pow.f64 N 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 N (+.f64 N 2)) 2) (.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (-.f64 (*.f64 N (+.f64 N 2)) (neg.f64 (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 (.f64 N (+.f64 N 2)) 3) (pow.f64 (neg.f64 (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (.f64 N (+.f64 N 2)) 2) (-.f64 (.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4))) (.f64 (*.f64 N (+.f64 N 2)) (neg.f64 (pow.f64 N 4))))))
(pow.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))))
(exp.f64 (log.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))))
(fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4)))
(fma.f64 (+.f64 N 2) N (neg.f64 (pow.f64 N 4)))
(fma.f64 1 (*.f64 N (+.f64 N 2)) (neg.f64 (pow.f64 N 4)))
(fma.f64 (sqrt.f64 (.f64 N (+.f64 N 2))) (sqrt.f64 (.f64 N (+.f64 N 2))) (neg.f64 (pow.f64 N 4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N 2))) 2) (cbrt.f64 (.f64 N (+.f64 N 2))) (neg.f64 (pow.f64 N 4)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))) 1)
(.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N))))))
(.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N))))) 1)
(.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N)))))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N)))))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N)))))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))) 3)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N))))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(exp.f64 (.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (.f64 N N)))))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (fma.f64 N (+.f64 N 2) (neg.f64 (pow.f64 N 4))) (+.f64 N (-.f64 1 (*.f64 N N)))))))

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

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.0b	(pow.f64 (+.f64 1 N) 3)
✓	0.4b	(atan2.f64 (/.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 N 1) (*.f64 N N)))
✓	22.9b	(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N)))

Compiler

Compiled 118 to 73 computations (38.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`associate-+l+`
462×	`+-commutative`
458×	`add-sqr-sqrt`
446×	`*-un-lft-identity`
442×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	141
1	472	137
2	6619	137

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

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

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

(pow.f64 (+.f64 1 N) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (/.f64 1 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3/2)) (*.f64 (hypot.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3/2)) (/.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3/2)) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (/.f64 (hypot.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3/2)) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) (/.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (-.f64 N (+.f64 1 N)))) (*.f64 (+.f64 1 (+.f64 N N)) (/.f64 1 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simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1198×	`associate-/l*`
892×	`associate-/r*`
864×	`unswap-sqr`
844×	`*-commutative`
676×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	6683
1	738	5757
2	2915	5709

Stop Event

1×	node limit

Counts

131 → 168

Calls

Call 1

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

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

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.7b	(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)
	16.6b	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 91 to 65 computations (28.6% saved)

series108.0ms (1.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	N	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)
25.0ms	N	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)
17.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)
0.0ms	N	@	inf	(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
0.0ms	N	@	0	(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`*-commutative`
670×	`unswap-sqr`
536×	`swap-sqr`
450×	`distribute-lft-in`
438×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	255	64
2	2904	64

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 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simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

824×	`times-frac`
714×	`associate-/r*`
636×	`+-commutative`
616×	`unswap-sqr`
584×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	4491
1	369	4287
2	979	4149
3	2665	3785
4	7291	3785

Stop Event

1×	node limit

Counts

87 → 85

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 2) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 2) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/9)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/9)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 1)
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6))) (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4))))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) 1))
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))
(cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1)
(*.f64 1 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4)))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/18) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/18))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/9)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(fabs.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))

Outputs
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/18))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/18))
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(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/18) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/18))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/36) 4)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/3)
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 1/2)
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 2/3)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 3)
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(fabs.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

eval977.0ms (12.3%)

Compiler: Compiled 34466 to 22903 computations (33.5% saved)

prune278.0ms (3.5%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	954	8	962
Fresh	4	2	6
Picked	0	1	1
Done	3	4	7
Total	961	15	976

Error

0.3b

Counts

976 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	0.9b	(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/2) 2)
✓	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
	26.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	27.1b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	49.4b	(atan2.f64 (/.f64 (fma.f64 2 N 1) (/.f64 (+.f64 (.f64 (.f64 N N) (+.f64 N 3)) (pow.f64 N 3)) (+.f64 1 (fma.f64 N N N)))) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	13.0b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
	50.8b	(atan2.f64 1 (/.f64 (-.f64 (.f64 N (+.f64 N 2)) (pow.f64 N 4)) (+.f64 1 (-.f64 N (.f64 N N)))))
✓	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	30.7b	(atan2.f64 1 (+.f64 N 1))
✓	26.8b	(atan2.f64 1 (*.f64 N N))
✓	2.0b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
	0.9b	(.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)))
	1.3b	(*.f64 (sqrt.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)))) 3/2))
	36.9b	(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))

Compiler

Compiled 234 to 169 computations (27.8% saved)

regimes29.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	N
4.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.4b	1	`N`
0.4b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 493 to 332 computations (32.7% saved)

regimes11.0ms (0.1%)

Accuracy

Total -55.0b remaining (-4259.8%)

Threshold costs -55.0b (-4259.8%)

Counts

2 → 3

Calls

Call 1

Inputs
(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:

10.0ms

Results

Error	Segments	Branch
1.3b	3	`N`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.09622660950140559	67918.2096242938
29.0ms	-473226.2475686782	-1.8551119204582732e-7

Results

44.0ms

304×

body

256

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	29	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))

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

Outputs
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3715469692580659/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(atan2.f64 1 (*.f64 N N))

Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness0.0ms (0%)

end30.0ms (0.4%)

Compiler: Compiled 34 to 22 computations (35.3% 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 (27.1%)

preprocess11.0ms (0.1%)

simplify21.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite314.0ms (4%)

simplify98.0ms (1.2%)

eval91.0ms (1.1%)

prune24.0ms (0.3%)

localize12.0ms (0.2%)

series0.0ms (0%)

rewrite54.0ms (0.7%)

simplify73.0ms (0.9%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite106.0ms (1.3%)

simplify155.0ms (2%)

eval217.0ms (2.7%)

prune86.0ms (1.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite59.0ms (0.7%)

simplify57.0ms (0.7%)

localize12.0ms (0.2%)

series0.0ms (0%)

rewrite115.0ms (1.4%)

simplify78.0ms (1%)

localize37.0ms (0.5%)

series2.0ms (0%)

rewrite109.0ms (1.4%)

simplify158.0ms (2%)

localize17.0ms (0.2%)

series4.0ms (0.1%)

rewrite80.0ms (1%)

simplify120.0ms (1.5%)

localize42.0ms (0.5%)

series8.0ms (0.1%)

rewrite99.0ms (1.3%)

simplify97.0ms (1.2%)

eval660.0ms (8.3%)

prune237.0ms (3%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite76.0ms (1%)

simplify75.0ms (0.9%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite46.0ms (0.6%)

simplify65.0ms (0.8%)

localize40.0ms (0.5%)

series2.0ms (0%)

rewrite105.0ms (1.3%)

simplify101.0ms (1.3%)

localize43.0ms (0.5%)

series3.0ms (0%)

rewrite99.0ms (1.2%)

simplify83.0ms (1%)

localize38.0ms (0.5%)

series108.0ms (1.4%)

rewrite78.0ms (1%)

simplify118.0ms (1.5%)

eval977.0ms (12.3%)

prune278.0ms (3.5%)

regimes29.0ms (0.4%)

regimes11.0ms (0.1%)

bsearch53.0ms (0.7%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end30.0ms (0.4%)

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