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)

sample2.0s (27.9%)

Results

870.0ms	2220×	body	2048	valid
605.0ms	4458×	body	256	valid
427.0ms	1121×	body	1024	valid
92.0ms	457×	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)

simplify20.0ms (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

22.59%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.59%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(atan.f64 (+.f64 N 1))
✓	0.56%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 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))
0.0ms	N	@	0	(atan.f64 (+.f64 N 1))
0.0ms	N	@	-inf	(atan.f64 (+.f64 N 1))

rewrite143.0ms (2%)

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	32
1	194	32
2	2594	32

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs
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Outputs

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simplify149.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-*r/`
1096×	`associate-*l/`
928×	`+-commutative`
868×	`associate-+l-`
706×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	8295
1	880	7553
2	4352	7553

Stop Event

1×	node limit

Counts

133 → 212

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

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

eval145.0ms (2%)

Compiler: Compiled 5886 to 3789 computations (35.6% saved)

prune28.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	210	3	213

Error

0.76%

Counts

213 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.06%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.78%	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	22.59%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize50.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 N N (+.f64 1 N))
✓	0.78%	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 32 to 16 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

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	36
1	222	36
2	2215	36

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

688×	`distribute-lft-in`
626×	`unswap-sqr`
608×	`distribute-rgt-in`
552×	`associate-/l*`
542×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1259
1	235	1223
2	1014	1219
3	4049	1219

Stop Event

1×	node limit

Counts

67 → 61

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

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

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.04%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	4.17%	(+.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	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	inf	(+.f64 (+.f64 N 1) (*.f64 N N))
0.0ms	N	@	inf	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	0	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.0ms	N	@	0	(+.f64 (+.f64 N 1) (*.f64 N N))

rewrite93.0ms (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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simplify200.0ms (2.8%)

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))

eval288.0ms (4%)

Compiler: Compiled 10218 to 6383 computations (37.5% saved)

prune116.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	364	10	374
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	366	11	377

Error

0.69%

Counts

377 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	1.57%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	2.54%	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
	40.72%	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
	52.64%	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N)))) (+.f64 N (-.f64 -1 (*.f64 N N)))))
▶	37.18%	(atan2.f64 (+.f64 N (-.f64 1 N)) (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (.f64 N N))))
▶	1.3%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
	42.97%	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
	0.78%	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
▶	54.75%	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	0.78%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	22.59%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 372 to 248 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.02%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.78%	(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)))

rewrite91.0ms (1.3%)

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)))))))))

simplify62.0ms (0.9%)

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)))

localize6.0ms (0.1%)

Compiler: Compiled 18 to 9 computations (50% saved)

localize67.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N))
✓	0.04%	(atan2.f64 (+.f64 N (-.f64 1 N)) (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (.f64 N N))))
	4.17%	(+.f64 N (-.f64 1 N))
✓	29.29%	(/.f64 (*.f64 N N) (+.f64 N -1))

Compiler

Compiled 79 to 45 computations (43% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite96.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`associate-/l*`
452×	`associate-+l+`
442×	`+-commutative`
354×	`add-sqr-sqrt`
346×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	111
1	336	81
2	5267	77

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

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

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

simplify113.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/l*`
804×	`*-commutative`
748×	`associate-/r*`
686×	`+-commutative`
616×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	6531
1	861	6143
2	3303	6039

Stop Event

1×	node limit

Counts

163 → 249

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(fma.f64 N N (+.f64 1 N))
✓	0.31%	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
✓	0.78%	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	29.74%	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite89.0ms (1.2%)

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	67
1	244	67
2	2634	67

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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 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#<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)))))))))

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/r*`
968×	`associate-/l*`
860×	`distribute-lft-in`
844×	`distribute-rgt-in`
756×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	5448
1	377	4206
2	1593	4050
3	4819	4050

Stop Event

1×	node limit

Counts

140 → 98

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(fma.f64 N N (+.f64 1 N))
✓	0.35%	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
✓	0.78%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
✓	30.06%	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series7.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
1.0ms	N	@	inf	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
0.0ms	N	@	inf	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))
0.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
0.0ms	N	@	-inf	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))

rewrite217.0ms (3%)

Algorithm

3×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1898×	`add-sqr-sqrt`
1866×	`*-un-lft-identity`
1754×	`add-cube-cbrt`
1738×	`add-cbrt-cube`
1706×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	306	59
2	2923	59
0	9	19
1	176	19
2	2105	19
0	14	21
1	306	21
2	2923	21
0	14	21
0	11	15
1	225	15
2	2419	15

Stop Event

1×	node limit
1×	iter limit
1×	node limit
1×	node limit
1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1024×	`unswap-sqr`
848×	`associate-/l*`
636×	`+-commutative`
626×	`distribute-lft-in`
618×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1765
1	361	1527
2	1298	1519
3	4871	1519

Stop Event

1×	node limit

Counts

79 → 87

Calls

Call 1

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

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

eval406.0ms (5.6%)

Compiler: Compiled 23296 to 15027 computations (35.5% saved)

prune158.0ms (2.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	816	8	824
Fresh	3	2	5
Picked	1	0	1
Done	2	3	5
Total	822	13	835

Error

0.68%

Counts

835 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.24%	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	40.72%	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
	38.18%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
▶	0.78%	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
✓	54.75%	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	42.98%	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	42.95%	(atan2.f64 1 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N)))) (+.f64 N (-.f64 -1 (*.f64 N N)))))
▶	15.92%	(atan2.f64 1 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (.f64 N N))))
✓	0.78%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	52.89%	(atan2.f64 1 (+.f64 N 1))
	42.98%	(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
▶	37.8%	(atan2.f64 1 (*.f64 N N))
✓	22.59%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 364 to 251 computations (31% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (*.f64 N N) N)
✓	0.78%	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))

Compiler

Compiled 39 to 14 computations (64.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`associate-*r/`
792×	`*-commutative`
746×	`associate-*l/`
674×	`distribute-lft-in`
634×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	239	30
2	2786	30

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (fma.f64 N N N) -1)) (+.f64 (/.f64 1 (+.f64 (fma.f64 N N N) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 N 1))) (/.f64 N (/.f64 (*.f64 N (-.f64 N 1)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-*r/`
1334×	`associate-*l/`
1292×	`distribute-lft-in`
868×	`associate-/r/`
840×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	4435
1	876	4045
2	3559	4037

Stop Event

1×	node limit

Counts

141 → 180

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.76%	(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))

rewrite47.0ms (0.7%)

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))))))))

simplify66.0ms (0.9%)

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))

localize69.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 1 (+.f64 N -1))
	0.02%	(-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N))
✓	0.78%	(atan2.f64 1 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (.f64 N N))))
	29.29%	(/.f64 (*.f64 N N) (+.f64 N -1))

Compiler

Compiled 67 to 38 computations (43.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-/l*`
1196×	`associate-/r/`
580×	`associate-/l/`
306×	`+-commutative`
292×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	277	38
2	4197	34

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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)))))))))

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

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-r`
1164×	`associate-+r+`
1148×	`associate-l`
880×	`associate-+l+`
606×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2520
1	486	2396
2	1572	2364
3	6111	2362

Stop Event

1×	node limit

Counts

82 → 120

Calls

Call 1

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

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

localize35.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.76%	(atan2.f64 1 (*.f64 N N))
✓	0.97%	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
✓	29.78%	(cbrt.f64 (atan2.f64 1 (*.f64 N N)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`add-sqr-sqrt`
1398×	`*-un-lft-identity`
1312×	`add-cube-cbrt`
1300×	`add-cbrt-cube`
1288×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	195	30
2	1928	30

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(cbrt.f64 (atan2.f64 1 (*.f64 N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)

Outputs

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

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

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def`
862×	`unswap-sqr`
840×	`distribute-rgt-in`
826×	`distribute-lft-in`
788×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1020
1	181	1020
2	648	1020
3	2240	1002

Stop Event

1×	node limit

Counts

66 → 47

Calls

Call 1

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

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

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(pow.f64 (+.f64 N 1) 2)
✓	0.78%	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
✓	31.26%	(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
✓	36.65%	(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))

Compiler

Compiled 76 to 45 computations (40.8% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite115.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`associate-/r/`
898×	`associate-/l/`
430×	`associate-+l+`
356×	`add-sqr-sqrt`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	352	134
2	5053	134

Stop Event

1×	node limit

Counts

4 → 227

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

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

simplify150.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

886×	`associate-r`
844×	`associate-/l*`
834×	`associate-l`
796×	`distribute-lft-in`
698×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	605	15673
1	1930	14297

Stop Event

1×	node limit

Counts

275 → 371

Calls

Call 1

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

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

eval661.0ms (9.2%)

Compiler: Compiled 26893 to 17791 computations (33.8% saved)

prune219.0ms (3.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	968	8	976
Fresh	2	3	5
Picked	1	0	1
Done	5	2	7
Total	976	13	989

Error

0.68%

Counts

989 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.24%	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	40.72%	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
	10.14%	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
	42.95%	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (/.f64 1 (.f64 N (-.f64 N 1))) (*.f64 N (-.f64 (pow.f64 N 3) N))) 1))
	0.78%	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (*.f64 (+.f64 1 N) N) 1))
	42.95%	(atan2.f64 1 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N)))) (+.f64 N (-.f64 -1 (*.f64 N N)))))
	53.59%	(atan2.f64 1 (/.f64 (+.f64 1 (+.f64 N N)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	79.84%	(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	37.69%	(atan2.f64 1 (+.f64 N (*.f64 N N)))
	52.89%	(atan2.f64 1 (+.f64 N 1))
	0.78%	(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
✓	37.8%	(atan2.f64 1 (*.f64 N N))
	54.75%	(atan2.f64 1 1)

Compiler

Compiled 189 to 131 computations (30.7% saved)

regimes27.0ms (0.4%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.78%	1	`N`
0.78%	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 430 to 257 computations (40.2% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.78%	1	`N`

Compiler

Compiled 48 to 29 computations (39.6% saved)

regimes14.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.9%	3	`N`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch47.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.0021923554093436397	2.0848865179007176e+20
21.0ms	-82962.41809915582	-0.8108237964804155

Results

43.0ms

320×

body

256

valid

Compiler

Compiled 310 to 238 computations (23.2% saved)

regimes12.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.01%	3	`N`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch48.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.0021923554093436397	2.0848865179007176e+20
22.0ms	-0.8108237964804155	-5.577235229978024e-10

Results

44.0ms

320×

body

256

valid

Compiler

Compiled 292 to 229 computations (21.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -55.1b remaining (-2699.5%)

Threshold costs -55.1b (-2699.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
3.19%	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.0021923554093436397	2.0848865179007176e+20
20.0ms	-82962.41809915582	-0.8108237964804155

Results

42.0ms

320×

body

256

valid

Compiler

Compiled 252 to 209 computations (17.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
4×	`sub-neg`
4×	`if-if-or-not`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	228
1	53	228
2	56	228
3	58	228
4	59	228

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 92 to 67 computations (27.2% saved)

soundness77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-*r/`
1096×	`associate-*l/`
928×	`+-commutative`
868×	`associate-+l-`
706×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	8295
1	880	7553
2	4352	7553

Stop Event

1×	node limit

Compiler

Compiled 90 to 48 computations (46.7% saved)

end54.0ms (0.7%)

Compiler: Compiled 87 to 58 computations (33.3% 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%)

sample2.0s (27.9%)

preprocess11.0ms (0.1%)

simplify20.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite143.0ms (2%)

simplify149.0ms (2.1%)

eval145.0ms (2%)

prune28.0ms (0.4%)

localize50.0ms (0.7%)

series1.0ms (0%)

rewrite56.0ms (0.8%)

simplify65.0ms (0.9%)

localize19.0ms (0.3%)

series1.0ms (0%)

rewrite93.0ms (1.3%)

simplify200.0ms (2.8%)

eval288.0ms (4%)

prune116.0ms (1.6%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite91.0ms (1.3%)

simplify62.0ms (0.9%)

localize6.0ms (0.1%)

localize67.0ms (0.9%)

series2.0ms (0%)

rewrite96.0ms (1.3%)

simplify113.0ms (1.6%)

localize19.0ms (0.3%)

series7.0ms (0.1%)

rewrite89.0ms (1.2%)

simplify96.0ms (1.3%)

localize24.0ms (0.3%)

series7.0ms (0.1%)

rewrite217.0ms (3%)

simplify71.0ms (1%)

eval406.0ms (5.6%)

prune158.0ms (2.2%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite74.0ms (1%)

simplify78.0ms (1.1%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite47.0ms (0.7%)

simplify66.0ms (0.9%)

localize69.0ms (1%)

series1.0ms (0%)

rewrite104.0ms (1.4%)

simplify80.0ms (1.1%)

localize35.0ms (0.5%)

series5.0ms (0.1%)

rewrite56.0ms (0.8%)

simplify90.0ms (1.3%)

localize26.0ms (0.4%)

series2.0ms (0%)

rewrite115.0ms (1.6%)

simplify150.0ms (2.1%)

eval661.0ms (9.2%)

prune219.0ms (3.1%)

regimes27.0ms (0.4%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch47.0ms (0.7%)

regimes12.0ms (0.2%)

bsearch48.0ms (0.7%)

regimes10.0ms (0.1%)

bsearch46.0ms (0.6%)

simplify8.0ms (0.1%)

soundness77.0ms (1.1%)

end54.0ms (0.7%)

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