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)

sample2.3s (25.5%)

Results

1.1s	2210×	body	2048	valid
684.0ms	4534×	body	256	valid
405.0ms	1038×	body	1024	valid
141.0ms	474×	body	512	valid

Bogosity

preprocess12.0ms (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)

simplify18.0ms (0.2%)

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)

prune31.0ms (0.3%)

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

20.94%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.94%	(-.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))
✓	1.93%	(-.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	@	0	(-.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	(atan.f64 (+.f64 N 1))
0.0ms	N	@	-inf	(atan.f64 (+.f64 N 1))

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	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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simplify131.0ms (1.4%)

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))

eval112.0ms (1.2%)

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

prune28.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	209	4	213

Error

0.67%

Counts

213 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.79%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.69%	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
▶	21.71%	(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
✓	20.94%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(atan.f64 (+.f64 N 1))
✓	0.36%	(exp.f64 (atan.f64 (+.f64 N 1)))
✓	0.79%	(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
✓	1.93%	(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`*-commutative`
726×	`unswap-sqr`
694×	`associate-*r/`
526×	`associate-*l/`
516×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	220	47
2	2672	47

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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Outputs

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

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-+l-`
1050×	`+-commutative`
968×	`associate-+r-`
810×	`associate--r+`
614×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	9997
1	1093	9065
2	5236	9065

Stop Event

1×	node limit

Counts

205 → 250

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(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)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) 1))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (neg.f64 (atan.f64 N)) (+.f64 (atan.f64 (+.f64 N 1)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (neg.f64 (atan.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (-.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (neg.f64 (atan.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (-.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(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 1 (-.f64 N N)) (+.f64 1 (+.f64 N (*.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 (atan.f64 (+.f64 N 1)) 0)
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(-.f64 (+.f64 0 (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 2 (log.f64 (sqrt.f64 (exp.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))))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6))
(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))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 N 1))
(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))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1)
(*.f64 1 (exp.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6))
(*.f64 (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/3)
(pow.f64 (E.f64) (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))

Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 N 1))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (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 (-.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 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 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 N 1)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (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 N 1)) (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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (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 N 1)) (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 (atan.f64 N) (-.f64 (-.f64 (atan.f64 (+.f64 N 1)) (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 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (*.f64 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 N 1)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (+.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))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (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 (atan.f64 (+.f64 N 1)) (+.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)) (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 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 3)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (+.f64 N 1))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))) 1)
(atan.f64 (+.f64 N 1))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (+.f64 N 1))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (+.f64 N 1))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (+.f64 N 1))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.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)))))
(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 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(.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 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))))))
(.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 N 1)))) (.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3/2))
(atan.f64 (+.f64 N 1))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/6))
(atan.f64 (+.f64 N 1))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (+.f64 N 1))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (+.f64 N 1))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (+.f64 N 1))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (+.f64 N 1))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(fabs.f64 (atan.f64 (+.f64 N 1)))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 N 1))
(atan.f64 (+.f64 N 1))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 1 (exp.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3/2))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/6))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)) (pow.f64 (E.f64) (/.f64 (atan.f64 (+.f64 N 1)) 2)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (/.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (/.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/3)
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (E.f64) (atan.f64 (+.f64 N 1)))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 2))
(fabs.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (-.f64 1 (neg.f64 N))))
(exp.f64 (atan.f64 (+.f64 N 1)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 N N (+.f64 1 N))
✓	0.68%	(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	@	0	(fma.f64 N N (+.f64 1 N))
0.0ms	N	@	inf	(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)))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	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))))))))

simplify96.0ms (1.1%)

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))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.05%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	3.41%	(+.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	(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	@	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))

rewrite137.0ms (1.5%)

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

simplify122.0ms (1.4%)

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))
(-.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(-.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)))
(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) 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 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 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 N) 1 N)))
(-.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)))
(-.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)))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
(-.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1)
(-.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N)))
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))
(-.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1)
(-.f64 (+.f64 (+.f64 N 1) 0) N)
(*.f64 1 (+.f64 N (-.f64 1 N)))
(*.f64 (+.f64 N (-.f64 1 N)) 1)
(*.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))
(*.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))
(.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1))))
(.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))))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))
(.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)))
(.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)))
(.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)))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (.f64 N (-.f64 1 N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) (-.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 (pow.f64 N 6) (pow.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) 3))) (-.f64 (+.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
(/.f64 1 (/.f64 1 (+.f64 N (-.f64 1 N))))
(/.f64 (+.f64 N (-.f64 1 N)) (/.f64 (+.f64 N (+.f64 N -1)) (+.f64 N (+.f64 N -1))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (+.f64 N (+.f64 N -1)))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(/.f64 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))) (/.f64 (fma.f64 N N (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))) (+.f64 N (-.f64 1 N))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (/.f64 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))) (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2))) (/.f64 (+.f64 N (+.f64 N -1)) (sqrt.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)))))
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(/.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)))
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (-.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) N) (/.f64 1 (+.f64 N -1)))
(+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (-.f64 (/.f64 -1 (+.f64 N -1)) N))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (-.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) N) (/.f64 1 (+.f64 N -1)))
(+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (-.f64 (/.f64 -1 (+.f64 N -1)) N))
(-.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1)
1
(-.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) 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 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 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 (-.f64 1 N) (+.f64 N 1)) 1)
1
(-.f64 (+.f64 (+.f64 N 1) 0) N)
1
(*.f64 1 (+.f64 N (-.f64 1 N)))
1
(*.f64 (+.f64 N (-.f64 1 N)) 1)
1
(*.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))
1
(*.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))
1
(.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1))))
1
(.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))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)))
1
(.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)))
(.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))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.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)))
1
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (.f64 N (-.f64 1 N)))))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N (pow.f64 (-.f64 1 N) 2)) (*.f64 N (-.f64 1 N))))
(/.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 (fma.f64 2 N -1) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N)))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) (-.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (pow.f64 (-.f64 1 N) 2) (.f64 (-.f64 1 (+.f64 N N)) (-.f64 1 (+.f64 N N)))))) (-.f64 (.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (.f64 (pow.f64 (-.f64 1 N) 2) (.f64 (-.f64 1 (+.f64 N N)) (-.f64 1 (+.f64 N N)))))) (fma.f64 N N (.f64 (+.f64 N -1) (-.f64 1 (+.f64 N N)))))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 (pow.f64 N 6) (pow.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) 3))) (-.f64 (+.f64 (pow.f64 N 4) (.f64 (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (.f64 (.f64 N N) (.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
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(.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))

eval664.0ms (7.4%)

Compiler: Compiled 16927 to 10916 computations (35.5% saved)

prune153.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	645	8	653
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	648	9	657

Error

0.61%

Counts

657 → 9

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)
▶	34.62%	(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)))
▶	44.9%	(atan2.f64 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N)) (+.f64 (+.f64 N 1) (.f64 N N)))
	19.8%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
	1.01%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
▶	47.54%	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	0.69%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	20.94%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	15.2%	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))

Compiler

Compiled 266 to 184 computations (30.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.68%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 25 to 13 computations (48% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify98.0ms (1.1%)

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)))

localize7.0ms (0.1%)

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

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (/.f64 1 (+.f64 N -1)) N)
✓	0.05%	(atan2.f64 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N)) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	3.41%	(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
✓	24.87%	(/.f64 (*.f64 N N) (+.f64 N -1))

Compiler

Compiled 77 to 45 computations (41.6% saved)

series32.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	N	@	0	(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
1.0ms	N	@	-inf	(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
1.0ms	N	@	inf	(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
0.0ms	N	@	0	(/.f64 (*.f64 N N) (+.f64 N -1))
0.0ms	N	@	-inf	(atan2.f64 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N)) (+.f64 (+.f64 N 1) (.f64 N N)))

rewrite123.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`associate-/l*`
628×	`associate-+l+`
416×	`+-commutative`
350×	`add-sqr-sqrt`
348×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	148
1	333	84
2	5172	84

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

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

Outputs
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simplify220.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1834×	`associate--r+`
914×	`fma-def`
846×	`+-commutative`
646×	`associate-+r+`
612×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	611	13816
1	1858	12376
2	7095	12372

Stop Event

1×	node limit

Counts

290 → 419

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

Outputs
(*.f64 -1 (pow.f64 N 2))
(neg.f64 (*.f64 N N))
(*.f64 N (neg.f64 N))
(+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 -1 (pow.f64 N 2)))
(.f64 -1 (+.f64 (.f64 N N) (pow.f64 N 3)))
(neg.f64 (fma.f64 N N (pow.f64 N 3)))
(+.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) (.f64 -1 (+.f64 (.f64 N N) (pow.f64 N 3))))
(-.f64 (neg.f64 (fma.f64 N N (pow.f64 N 3))) (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) (.f64 -1 (+.f64 (.f64 N N) (pow.f64 N 3)))))
(-.f64 (-.f64 (neg.f64 (fma.f64 N N (pow.f64 N 3))) (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 N (+.f64 1 (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))))
(+.f64 (+.f64 N 1) (+.f64 (/.f64 1 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 N (+.f64 1 (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))))
(+.f64 (+.f64 N 1) (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (+.f64 N (/.f64 1 (-.f64 N 1)))) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (-.f64 (.f64 N (/.f64 N (+.f64 -1 N))) (+.f64 N (/.f64 1 (+.f64 -1 N)))) (+.f64 (+.f64 N 1) (.f64 N N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 -1 N)) N) (/.f64 1 (+.f64 -1 N))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 N))) (.f64 -1 N)) (/.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 N)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (/.f64 (.f64 N N) (-.f64 1 N))) (+.f64 1 (-.f64 (.f64 N N) (neg.f64 N))))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 N (/.f64 N (-.f64 1 N)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 N))) (.f64 -1 N)) (/.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 N)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (/.f64 (.f64 N N) (-.f64 1 N))) (+.f64 1 (-.f64 (.f64 N N) (neg.f64 N))))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 N (/.f64 N (-.f64 1 N)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 N))) (.f64 -1 N)) (/.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 N)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (/.f64 (.f64 N N) (-.f64 1 N))) (+.f64 1 (-.f64 (.f64 N N) (neg.f64 N))))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 N (/.f64 N (-.f64 1 N)))) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 N))) (.f64 -1 N)) (/.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 N)))) (-.f64 (+.f64 1 (pow.f64 N 2)) (.f64 -1 N)))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (/.f64 (.f64 N N) (-.f64 1 N))) (+.f64 1 (-.f64 (.f64 N N) (neg.f64 N))))
(atan2.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 N (/.f64 N (-.f64 1 N)))) (+.f64 1 (fma.f64 N N N)))
-1
(-.f64 (*.f64 -1 (pow.f64 N 2)) 1)
(fma.f64 -1 (*.f64 N N) -1)
(fma.f64 N (neg.f64 N) -1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 N 2)) (.f64 -1 (pow.f64 N 3))) 1)
(+.f64 (.f64 -1 (+.f64 (.f64 N N) (pow.f64 N 3))) -1)
(fma.f64 -1 (fma.f64 N N (pow.f64 N 3)) -1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 2)) (*.f64 -1 (pow.f64 N 3)))) 1)
(+.f64 (fma.f64 -1 (pow.f64 N 4) (.f64 -1 (+.f64 (.f64 N N) (pow.f64 N 3)))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 N N (pow.f64 N 3))) (pow.f64 N 4)))
N
(+.f64 N (/.f64 1 N))
(+.f64 N (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(+.f64 N (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(+.f64 N (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))))
(+.f64 N (+.f64 (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))) (/.f64 1 (pow.f64 N 3))))
(+.f64 N (+.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
N
(+.f64 N (/.f64 1 N))
(+.f64 N (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(+.f64 N (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(+.f64 N (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))))
(+.f64 N (+.f64 (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))) (/.f64 1 (pow.f64 N 3))))
(+.f64 N (+.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (/.f64 N (+.f64 N -1))))) 1)
(*.f64 N (/.f64 N (+.f64 -1 N)))
(/.f64 (*.f64 N N) (+.f64 -1 N))
(*.f64 N (/.f64 N (+.f64 N -1)))
(*.f64 N (/.f64 N (+.f64 -1 N)))
(/.f64 (*.f64 N N) (+.f64 -1 N))
(.f64 (.f64 N N) (/.f64 -1 (-.f64 1 N)))
(/.f64 (neg.f64 (*.f64 N N)) (-.f64 1 N))
(*.f64 (neg.f64 (/.f64 N (-.f64 1 N))) N)
(.f64 (.f64 N (/.f64 N (+.f64 N -1))) 1)
(*.f64 N (/.f64 N (+.f64 -1 N)))
(/.f64 (*.f64 N N) (+.f64 -1 N))
(.f64 1 (.f64 N (/.f64 N (+.f64 N -1))))
(*.f64 N (/.f64 N (+.f64 -1 N)))
(/.f64 (*.f64 N N) (+.f64 -1 N))
(.f64 (/.f64 -1 (-.f64 1 N)) (.f64 N N))
(/.f64 (neg.f64 (*.f64 N N)) (-.f64 1 N))
(*.f64 (neg.f64 (/.f64 N (-.f64 1 N))) N)
(.f64 (pow.f64 (+.f64 N -1) -1/2) (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N -1))))
(.f64 (pow.f64 (+.f64 -1 N) -1/2) (/.f64 (.f64 N N) (sqrt.f64 (+.f64 -1 N))))
(/.f64 N (/.f64 (sqrt.f64 (+.f64 -1 N)) (*.f64 N (pow.f64 (+.f64 -1 N) -1/2))))
(*.f64 (/.f64 N (sqrt.f64 (+.f64 N -1))) (/.f64 N (sqrt.f64 (+.f64 N -1))))
(pow.f64 (/.f64 N (sqrt.f64 (+.f64 -1 N))) 2)
(.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 N (/.f64 N (+.f64 -1 N)))) (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 -1 N) -2))))
(.f64 (cbrt.f64 (/.f64 (.f64 N N) (+.f64 -1 N))) (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 -1 N) -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 (.f64 N (/.f64 N (+.f64 -1 N)))) (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 -1 N) -2))))
(.f64 (cbrt.f64 (/.f64 (.f64 N N) (+.f64 -1 N))) (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 -1 N) -2))))
(.f64 (cbrt.f64 (pow.f64 N 4)) (.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 -1 (-.f64 1 N))))
(.f64 (cbrt.f64 (pow.f64 N 4)) (.f64 (/.f64 -1 (-.f64 1 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (-.f64 1 N)))
(*.f64 (/.f64 N (+.f64 N -1)) N)
(*.f64 N (/.f64 N (+.f64 -1 N)))
(/.f64 (*.f64 N N) (+.f64 -1 N))
(.f64 (.f64 N (neg.f64 N)) (/.f64 1 (-.f64 1 N)))
(/.f64 (neg.f64 (*.f64 N N)) (-.f64 1 N))
(*.f64 (neg.f64 (/.f64 N (-.f64 1 N))) N)
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1
(cbrt.f64 (pow.f64 (+.f64 N (-.f64 1 N)) 3))
1
(expm1.f64 (log.f64 (-.f64 (+.f64 2 N) N)))
(expm1.f64 (log.f64 2))
(exp.f64 (log.f64 (+.f64 N (-.f64 1 N))))
1
(exp.f64 (*.f64 (log.f64 (+.f64 N (-.f64 1 N))) 1))
1
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 1 N))))
1
(fma.f64 (*.f64 N N) (/.f64 -1 (-.f64 1 N)) (neg.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(fma.f64 (*.f64 N N) (/.f64 -1 (-.f64 1 N)) (-.f64 (/.f64 1 (-.f64 1 N)) N))
(-.f64 (-.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 N (/.f64 N (-.f64 1 N))))
(fma.f64 1 (*.f64 N (/.f64 N (+.f64 N -1))) (neg.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(fma.f64 N (/.f64 N (+.f64 -1 N)) (-.f64 (/.f64 1 (-.f64 1 N)) N))
(fma.f64 (/.f64 N (sqrt.f64 (+.f64 N -1))) (/.f64 N (sqrt.f64 (+.f64 N -1))) (neg.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 (pow.f64 (/.f64 N (sqrt.f64 (+.f64 -1 N))) 2) (-.f64 (/.f64 1 (-.f64 1 N)) N))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 N 4) (pow.f64 (+.f64 N -1) -2))) (cbrt.f64 (.f64 N (/.f64 N (+.f64 N -1)))) (neg.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 N 4) (pow.f64 (+.f64 -1 N) -2))) (cbrt.f64 (.f64 N (/.f64 N (+.f64 -1 N)))) (-.f64 (/.f64 1 (-.f64 1 N)) N))
(fma.f64 (cbrt.f64 (/.f64 (.f64 N N) (+.f64 -1 N))) (cbrt.f64 (.f64 (pow.f64 N 4) (pow.f64 (+.f64 -1 N) -2))) (-.f64 (/.f64 1 (-.f64 1 N)) N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))) 2)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))) 3) 1/3)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))) 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))) 1))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (+.f64 N 1) (-.f64 1 (/.f64 -1 (-.f64 1 N))))
(-.f64 (+.f64 N 1) (+.f64 1 (/.f64 1 (-.f64 1 N))))
(+.f64 N (+.f64 0 (/.f64 -1 (-.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))))) 1)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 N)))) (-.f64 1 N))
(+.f64 N (expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 N)))))
(-.f64 (/.f64 (pow.f64 (+.f64 N -1) -2) (-.f64 (/.f64 -1 (-.f64 1 N)) N)) (/.f64 (*.f64 N N) (-.f64 (/.f64 -1 (-.f64 1 N)) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N)) (-.f64 (/.f64 -1 (-.f64 1 N)) N))
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 N))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 N)))) (-.f64 1 N))
(+.f64 N (expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 N)))))
(-.f64 (+.f64 (/.f64 -1 (-.f64 1 N)) (+.f64 N 1)) 1)
(-.f64 (+.f64 N 1) (+.f64 1 (/.f64 1 (-.f64 1 N))))
(+.f64 N (+.f64 0 (/.f64 -1 (-.f64 1 N))))
(*.f64 1 (+.f64 N (/.f64 -1 (-.f64 1 N))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(*.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 1)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 N -1) -1/2) (sqrt.f64 N)) (hypot.f64 (pow.f64 (+.f64 N -1) -1/2) (sqrt.f64 N)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 -1 N) -1/2) (sqrt.f64 N)) 2)
(*.f64 (cbrt.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))) (cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 2)) (cbrt.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(*.f64 (cbrt.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))) (cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 2)))
(.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (.f64 N N)) (/.f64 1 (-.f64 (/.f64 -1 (-.f64 1 N)) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N)) (-.f64 (/.f64 -1 (-.f64 1 N)) N))
(.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3)) (/.f64 1 (+.f64 (.f64 N N) (-.f64 (pow.f64 (+.f64 N -1) -2) (/.f64 N (+.f64 N -1))))))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 (+.f64 -1 N) -2) (/.f64 N (+.f64 -1 N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3)) (-.f64 (fma.f64 N N (pow.f64 (+.f64 -1 N) -2)) (/.f64 N (+.f64 -1 N))))
(/.f64 1 (/.f64 1 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(/.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) (/.f64 (-.f64 (/.f64 -1 (-.f64 1 N)) N) (-.f64 (/.f64 -1 (-.f64 1 N)) N)))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (*.f64 N N)) (-.f64 (/.f64 -1 (-.f64 1 N)) N))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N)) (-.f64 (/.f64 -1 (-.f64 1 N)) N))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3)) (+.f64 (*.f64 N N) (-.f64 (pow.f64 (+.f64 N -1) -2) (/.f64 N (+.f64 N -1)))))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 (+.f64 -1 N) -2) (/.f64 N (+.f64 -1 N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3)) (-.f64 (fma.f64 N N (pow.f64 (+.f64 -1 N) -2)) (/.f64 N (+.f64 -1 N))))
(/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 (+.f64 N -1) -2) (/.f64 N (+.f64 N -1)))) (/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 (+.f64 N -1) -2) (/.f64 N (+.f64 N -1)))) (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (.f64 N N))) (/.f64 (-.f64 (/.f64 -1 (-.f64 1 N)) N) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (.f64 N N)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (.f64 N N))) (-.f64 (/.f64 -1 (-.f64 1 N)) N)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (.f64 N N))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N))) (-.f64 (/.f64 -1 (-.f64 1 N)) N)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3))) (/.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 (+.f64 N -1) -2) (/.f64 N (+.f64 N -1)))) (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3))) (/.f64 (fma.f64 N N (-.f64 (pow.f64 (+.f64 -1 N) -2) (/.f64 N (+.f64 -1 N)))) (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3)))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 -1 N) -3/2) (pow.f64 N 3/2)) (/.f64 (hypot.f64 (pow.f64 (+.f64 -1 N) -3/2) (pow.f64 N 3/2)) (-.f64 (fma.f64 N N (pow.f64 (+.f64 -1 N) -2)) (/.f64 N (+.f64 -1 N)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (.f64 N N))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (.f64 N N)))) (/.f64 (-.f64 (/.f64 -1 (-.f64 1 N)) N) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (.f64 N N)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (.f64 N N))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (.f64 N N)))) (-.f64 (/.f64 -1 (-.f64 1 N)) N)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (.f64 N N))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (.f64 N N))) (/.f64 (-.f64 (/.f64 -1 (-.f64 1 N)) N) (cbrt.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (.f64 N N))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3)))) (/.f64 (+.f64 (.f64 N N) (-.f64 (pow.f64 (+.f64 N -1) -2) (/.f64 N (+.f64 N -1)))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3)))) (fma.f64 N N (-.f64 (pow.f64 (+.f64 -1 N) -2) (/.f64 N (+.f64 -1 N))))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3))) (/.f64 (-.f64 (fma.f64 N N (pow.f64 (+.f64 -1 N) -2)) (/.f64 N (+.f64 -1 N))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N -1) -2) (*.f64 N N))) (neg.f64 (-.f64 (/.f64 -1 (-.f64 1 N)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N))) (neg.f64 (-.f64 (/.f64 -1 (-.f64 1 N)) N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 -1 N) -2)) (+.f64 N (/.f64 1 (-.f64 1 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1) -3))) (neg.f64 (+.f64 (*.f64 N N) (-.f64 (pow.f64 (+.f64 N -1) -2) (/.f64 N (+.f64 N -1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 (+.f64 -1 N) -2) (/.f64 N (+.f64 -1 N))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 -1 N) -3)) (-.f64 (fma.f64 N N (pow.f64 (+.f64 -1 N) -2)) (/.f64 N (+.f64 -1 N)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 N -1) -2)) (-.f64 N (/.f64 -1 (-.f64 1 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 -1 N) -2) (*.f64 N N))) (neg.f64 (-.f64 (/.f64 -1 (-.f64 1 N)) N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 -1 N) -2)) (+.f64 N (/.f64 1 (-.f64 1 N))))
(pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 1)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 N -1) -1/2) (sqrt.f64 N)) 2)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 -1 N) -1/2) (sqrt.f64 N)) 2)
(pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))) 3)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(pow.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 3) 1/3)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(sqrt.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 2))
(fabs.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))))
(log.f64 (exp.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 3))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(expm1.f64 (log1p.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(exp.f64 (log.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))) 1))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(log1p.f64 (expm1.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 1 N (/.f64 -1 (-.f64 1 N)))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 1 (/.f64 -1 (-.f64 1 N)) N)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 (pow.f64 (+.f64 N -1) -1/2) (pow.f64 (+.f64 N -1) -1/2) N)
(fma.f64 (pow.f64 (+.f64 -1 N) -1/2) (pow.f64 (+.f64 -1 N) -1/2) N)
(+.f64 N (/.f64 1 (+.f64 -1 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 -1 (-.f64 1 N)))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 N -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 N -1))) N)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 N) -2)) (/.f64 1 (cbrt.f64 (+.f64 -1 N))) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (/.f64 -1 (-.f64 1 N)))
(+.f64 N (/.f64 -1 (-.f64 1 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))
✓	0.68%	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.96%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	24.84%	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

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

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

138 → 89

Calls

Call 1

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

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

localize87.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 N (-.f64 1 N))
✓	0.03%	(pow.f64 (-.f64 1 N) 3)
✓	0.68%	(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)))
✓	33.83%	(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))

Compiler

Compiled 131 to 86 computations (34.4% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite126.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`associate-+l+`
550×	`+-commutative`
472×	`add-sqr-sqrt`
464×	`*-un-lft-identity`
458×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	158
1	460	154
2	7140	154

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.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)))
(pow.f64 (-.f64 1 N) 3)
(-.f64 N (-.f64 1 N))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N (-.f64 1 N))) (neg.f64 (/.f64 (pow.f64 (-.f64 1 N) 3) (fma.f64 N N (-.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 1 N) 3) (fma.f64 N N (-.f64 1 N)))) (/.f64 (pow.f64 N 3) (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N (-.f64 1 N))) (/.f64 (pow.f64 (-.f64 1 N) 3) (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (-.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (-.f64 1 N))))))) (#(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 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 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simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-+r+`
1280×	`associate-+l+`
834×	`+-commutative`
646×	`associate-+r-`
608×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	9566
1	1187	8292
2	5925	8094

Stop Event

1×	node limit

Counts

224 → 246

Calls

Call 1

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

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

eval706.0ms (7.8%)

Compiler: Compiled 31567 to 21180 computations (32.9% saved)

prune292.0ms (3.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	950	11	961
Fresh	2	1	3
Picked	1	0	1
Done	4	1	5
Total	957	13	970

Error

0.6%

Counts

970 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.73%	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
▶	1.57%	(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 2)
	43.23%	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	2.69%	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
	81.91%	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (neg.f64 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
▶	44.91%	(atan2.f64 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (+.f64 N 1) (-.f64 1 (/.f64 -1 (-.f64 1 N))))) (+.f64 (+.f64 N 1) (.f64 N N)))
▶	19.8%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
	47.39%	(atan2.f64 (-.f64 (.f64 N (neg.f64 N)) (+.f64 (/.f64 1 (+.f64 N -1)) N)) (+.f64 (+.f64 N 1) (.f64 N N)))
	39.07%	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
✓	0.69%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	46.28%	(atan2.f64 1 (+.f64 N 1))
▶	43.12%	(atan2.f64 1 (*.f64 N N))
▶	1.57%	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))

Compiler

Compiled 426 to 305 computations (28.4% saved)

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.17%	(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
	0.68%	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	24.66%	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
	24.84%	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 91 to 62 computations (31.9% saved)

series134.0ms (1.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	N	@	0	(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
25.0ms	N	@	0	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
24.0ms	N	@	inf	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
18.0ms	N	@	-inf	(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
16.0ms	N	@	inf	(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`*-commutative`
750×	`unswap-sqr`
562×	`swap-sqr`
446×	`distribute-lft-in`
438×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	264	54
2	3133	54

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 1 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule 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N (+.f64 1 N))) 1/8))) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))))

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

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-r`
894×	`distribute-lft-in`
882×	`distribute-rgt-in`
812×	`associate-l`
472×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	2990
1	295	2522
2	660	2522
3	3048	2522
4	7423	2522

Stop Event

1×	node limit

Counts

70 → 68

Calls

Call 1

Inputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) 1/4)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 1)
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 1 1/4))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (pow.f64 1 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/4) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/4))
(.f64 (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)))
(.f64 (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.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))) 3/4) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16))
(sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(fabs.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))) 1)
(pow.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))) 1/4) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1)
(pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)) 2)
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))

Outputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
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(.f64 (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))
(.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) (.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/8)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/8)
(sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(fabs.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(cbrt.f64 (pow.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))) 3/4) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(exp.f64 (*.f64 1/4 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))) 1)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)) 2)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 3) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.68%	(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 (0.5%)

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))))))))

simplify61.0ms (0.7%)

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))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.05%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	3.43%	(-.f64 (+.f64 N 1) N)

Compiler

Compiled 34 to 18 computations (47.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

162 → 190

Calls

Call 1

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

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

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (+.f64 N 1) (-.f64 1 (/.f64 -1 (-.f64 1 N))))
✓	0.05%	(atan2.f64 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (+.f64 N 1) (-.f64 1 (/.f64 -1 (-.f64 1 N))))) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	3.41%	(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (+.f64 N 1) (-.f64 1 (/.f64 -1 (-.f64 1 N)))))
	24.87%	(/.f64 (*.f64 N N) (+.f64 N -1))

Compiler

Compiled 99 to 65 computations (34.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite132.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`associate-+l+`
616×	`+-commutative`
520×	`associate-+r+`
426×	`add-sqr-sqrt`
418×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	165
1	397	125
2	6498	125

Stop Event

1×	node limit

Counts

3 → 244

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-+r+`
1108×	`+-commutative`
1098×	`fma-def`
1012×	`associate-+l+`
686×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	20170
1	1975	18716

Stop Event

1×	node limit

Counts

280 → 362

Calls

Call 1

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

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 (-.f64 (+.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (/.f64 1 (-.f64 1 N))) N) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (+.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (-.f64 1 N)) N)) (+.f64 N (+.f64 1 (.f64 N N))))
(atan2.f64 (-.f64 (fma.f64 (/.f64 N (+.f64 N -1)) N (/.f64 1 (-.f64 1 N))) N) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (+.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (/.f64 1 (-.f64 1 N))) N) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (+.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (-.f64 1 N)) N)) (+.f64 N (+.f64 1 (.f64 N N))))
(atan2.f64 (-.f64 (fma.f64 (/.f64 N (+.f64 N -1)) N (/.f64 1 (-.f64 1 N))) N) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (+.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (/.f64 1 (-.f64 1 N))) N) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (+.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (-.f64 1 N)) N)) (+.f64 N (+.f64 1 (.f64 N N))))
(atan2.f64 (-.f64 (fma.f64 (/.f64 N (+.f64 N -1)) N (/.f64 1 (-.f64 1 N))) N) (+.f64 1 (fma.f64 N N N)))
(atan2.f64 (-.f64 (+.f64 (/.f64 (pow.f64 N 2) (-.f64 N 1)) (/.f64 1 (-.f64 1 N))) N) (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 (+.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (-.f64 1 N)) N)) (+.f64 N (+.f64 1 (.f64 N N))))
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(atan2.f64 (+.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (-.f64 1 N)) N)) (+.f64 N (+.f64 1 (.f64 N N))))
(atan2.f64 (-.f64 (fma.f64 (/.f64 N (+.f64 N -1)) N (/.f64 1 (-.f64 1 N))) N) (+.f64 1 (fma.f64 N N N)))
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(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (/.f64 -1 (-.f64 1 N)) 3)) (fma.f64 N N (*.f64 (/.f64 -1 (-.f64 1 N)) (-.f64 (/.f64 -1 (-.f64 1 N)) N))))
(/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1 (pow.f64 (-.f64 1 N) 3))) (fma.f64 (/.f64 -1 (-.f64 1 N)) (-.f64 (/.f64 -1 (-.f64 1 N)) N) (*.f64 N N)))
(/.f64 (-.f64 (.f64 (fma.f64 N N -1) (+.f64 1 (/.f64 -1 (-.f64 1 N)))) (.f64 (+.f64 N -1) (-.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2))))) (*.f64 (+.f64 N -1) (+.f64 1 (/.f64 -1 (-.f64 1 N)))))
(/.f64 (fma.f64 (fma.f64 N N -1) (+.f64 1 (/.f64 -1 (-.f64 1 N))) (neg.f64 (.f64 (+.f64 N -1) (-.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2)))))) (.f64 (+.f64 N -1) (+.f64 1 (/.f64 -1 (-.f64 1 N)))))
(/.f64 (fma.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (fma.f64 N N -1) (*.f64 (-.f64 1 N) (+.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 2))))) (+.f64 (+.f64 N -1) (/.f64 (-.f64 1 N) (-.f64 1 N))))
(/.f64 (-.f64 (.f64 (fma.f64 N N -1) (+.f64 (/.f64 -1 (-.f64 1 N)) (+.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2))))) (.f64 (+.f64 N -1) (-.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 3))))) (*.f64 (+.f64 N -1) (+.f64 (/.f64 -1 (-.f64 1 N)) (+.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2))))))
(/.f64 (-.f64 (.f64 (fma.f64 N N -1) (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2)))) (.f64 (+.f64 N -1) (-.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 3))))) (*.f64 (+.f64 N -1) (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2)))))
(/.f64 (fma.f64 (fma.f64 N N -1) (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2))) (.f64 (-.f64 1 N) (-.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 3))))) (.f64 (+.f64 N -1) (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2)))))
(/.f64 (-.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 1 (/.f64 -1 (-.f64 1 N)))) (.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2))))) (*.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 1 (/.f64 -1 (-.f64 1 N)))))
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2))) (fma.f64 N N (-.f64 1 N)))) (*.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (fma.f64 N N (-.f64 1 N))))
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (+.f64 1 (pow.f64 N 3))) (.f64 (+.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 2))) (-.f64 (fma.f64 N N 1) N))) (*.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (-.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1 (-.f64 1 N)) (+.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2))))) (.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 3))))) (*.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 (/.f64 -1 (-.f64 1 N)) (+.f64 1 (/.f64 1 (pow.f64 (-.f64 1 N) 2))))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2))) (neg.f64 (.f64 (-.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 3))) (fma.f64 N N (-.f64 1 N))))) (.f64 (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2))) (fma.f64 N N (-.f64 1 N))))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2))) (+.f64 1 (pow.f64 N 3))) (.f64 (-.f64 1 (/.f64 -1 (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 (-.f64 1 N))) (/.f64 1 (pow.f64 (-.f64 1 N) 2))) (-.f64 (fma.f64 N N 1) N)))
(pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 1)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(pow.f64 (sqrt.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))) 2)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))) 3)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(pow.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 3) 1/3)
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(sqrt.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 2))
(fabs.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))))
(log.f64 (exp.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1 (-.f64 1 N))) 3))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(expm1.f64 (log1p.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(exp.f64 (log.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))) 1))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(log1p.f64 (expm1.f64 (+.f64 N (/.f64 -1 (-.f64 1 N)))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 1 N (+.f64 (/.f64 -1 (-.f64 1 N)) 0))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 1 (+.f64 N 1) (+.f64 -1 (/.f64 -1 (-.f64 1 N))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (+.f64 -1 (/.f64 -1 (-.f64 1 N))))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 (/.f64 -1 (-.f64 1 N)) 0))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (+.f64 -1 (/.f64 -1 (-.f64 1 N))))
(+.f64 N (/.f64 -1 (-.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 (/.f64 -1 (-.f64 1 N)) 0))
(+.f64 N (/.f64 -1 (-.f64 1 N)))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 N N) N)
✓	0.68%	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
✓	0.96%	(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 2)
✓	24.84%	(sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1)))

Compiler

Compiled 50 to 23 computations (54% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`*-commutative`
832×	`associate-*r/`
722×	`distribute-lft-in`
718×	`associate-*l/`
692×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	257	76
2	3031	76

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

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

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-*r/`
1274×	`associate-*l/`
910×	`associate-/r/`
808×	`associate-/l/`
506×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	350	7202
1	916	6378
2	3510	6378

Stop Event

1×	node limit

Counts

212 → 210

Calls

Call 1

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

eval1.0s (11.5%)

Compiler: Compiled 41274 to 27973 computations (32.2% saved)

prune279.0ms (3.1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1188	4	1192
Fresh	1	6	7
Picked	0	1	1
Done	1	4	5
Total	1190	15	1205

Error

0.58%

Counts

1205 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	1.73%	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
✓	1.57%	(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 2)
	43.23%	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	81.91%	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (neg.f64 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	44.91%	(atan2.f64 (-.f64 (/.f64 (.f64 N N) (+.f64 N -1)) (-.f64 (+.f64 N 1) (-.f64 1 (/.f64 -1 (-.f64 1 N))))) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	19.8%	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
	47.39%	(atan2.f64 (-.f64 (.f64 N (neg.f64 N)) (+.f64 (/.f64 1 (+.f64 N -1)) N)) (+.f64 (+.f64 N 1) (.f64 N N)))
	39.07%	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
✓	0.69%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	46.28%	(atan2.f64 1 (+.f64 N 1))
✓	43.12%	(atan2.f64 1 (*.f64 N N))
	0.96%	(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 3))
	1.64%	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))))
	2.05%	(.f64 (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
	57.61%	(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))

Compiler

Compiled 283 to 204 computations (27.9% saved)

regimes26.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.69%	1	`N`
0.69%	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 461 to 306 computations (33.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -55.5b remaining (-5052.2%)

Threshold costs -55.5b (-5052.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.72%	3	`N`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.06289011845201636	7.325314531627639
24.0ms	-2660265736.5342236	-1.5674216959867482e-11

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 264 to 207 computations (21.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	29	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness85.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-+l-`
1050×	`+-commutative`
968×	`associate-+r-`
810×	`associate--r+`
614×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	9997
1	1093	9065
2	5236	9065

Stop Event

1×	node limit

Compiler

Compiled 65 to 34 computations (47.7% saved)

end27.0ms (0.3%)

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

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

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

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

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

Details

analyze0.0ms (0%)

sample2.3s (25.5%)

preprocess12.0ms (0.1%)

simplify18.0ms (0.2%)

eval0.0ms (0%)

prune31.0ms (0.3%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite83.0ms (0.9%)

simplify131.0ms (1.4%)

eval112.0ms (1.2%)

prune28.0ms (0.3%)

localize25.0ms (0.3%)

series1.0ms (0%)

rewrite89.0ms (1%)

simplify125.0ms (1.4%)

localize13.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (0.6%)

simplify96.0ms (1.1%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite137.0ms (1.5%)

simplify122.0ms (1.4%)

eval664.0ms (7.4%)

prune153.0ms (1.7%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite59.0ms (0.7%)

simplify98.0ms (1.1%)

localize7.0ms (0.1%)

localize26.0ms (0.3%)

series32.0ms (0.3%)

rewrite123.0ms (1.4%)

simplify220.0ms (2.4%)

localize24.0ms (0.3%)

series2.0ms (0%)

rewrite91.0ms (1%)

simplify105.0ms (1.2%)

localize87.0ms (1%)

series5.0ms (0.1%)

rewrite126.0ms (1.4%)

simplify125.0ms (1.4%)

eval706.0ms (7.8%)

prune292.0ms (3.2%)

localize46.0ms (0.5%)

series134.0ms (1.5%)

rewrite80.0ms (0.9%)

simplify90.0ms (1%)

localize4.0ms (0%)

series0.0ms (0%)

rewrite47.0ms (0.5%)

simplify61.0ms (0.7%)

localize13.0ms (0.1%)

series0.0ms (0%)

rewrite87.0ms (1%)

simplify81.0ms (0.9%)

localize35.0ms (0.4%)

series1.0ms (0%)

rewrite132.0ms (1.5%)

simplify140.0ms (1.6%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite83.0ms (0.9%)

simplify107.0ms (1.2%)

eval1.0s (11.5%)

prune279.0ms (3.1%)

regimes26.0ms (0.3%)

regimes10.0ms (0.1%)

bsearch41.0ms (0.5%)

simplify5.0ms (0.1%)

soundness85.0ms (0.9%)

end27.0ms (0.3%)

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