Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (23.3%)

Results

879.0ms	2112×	body	2048	valid
629.0ms	4572×	body	256	valid
455.0ms	1081×	body	1024	valid
143.0ms	491×	body	512	valid

Bogosity

preprocess16.0ms (0.2%)

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)

simplify19.0ms (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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.7b	(-.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
✓	0.0b	(atan.f64 (+.f64 N 1))
✓	1.1b	(-.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	@	-inf	(atan.f64 (+.f64 N 1))
0.0ms	N	@	0	(atan.f64 (+.f64 N 1))

rewrite81.0ms (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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simplify382.0ms (4.2%)

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))

eval153.0ms (1.7%)

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

prune29.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	208	4	212
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	208	5	213

Error

0.4b

Counts

213 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
▶	15.8b	(/.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))))
▶	14.7b	(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
✓	14.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 94 to 66 computations (29.8% saved)

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓	0.0b	(pow.f64 (atan.f64 N) 2)
✓	0.1b	(pow.f64 (atan.f64 (+.f64 N 1)) 2)
✓	1.1b	(-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))

Compiler

Compiled 60 to 41 computations (31.7% saved)

series3.0ms (0%)

Counts

4 → 20

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))
1.0ms	N	@	0	(-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))
1.0ms	N	@	inf	(-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))
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))

rewrite197.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`associate-*r/`
1180×	`associate-*l/`
860×	`distribute-lft-in`
364×	`associate-/r*`
362×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	289	82
2	3847	82

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

Inputs
(-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 2)
(pow.f64 (atan.f64 N) 2)
(+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

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

simplify288.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1282×	`associate-/l*`
1090×	`associate-r`
1006×	`associate-l`
752×	`distribute-lft-in`
690×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	24382
1	1890	24096

Stop Event

1×	node limit

Counts

302 → 485

Calls

Call 1

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

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

localize112.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
✓	0.5b	(/.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))))
✓	1.0b	(cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
	1.1b	(-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))

Compiler

Compiled 133 to 90 computations (32.3% saved)

series14.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	(*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
2.0ms	N	@	0	(*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
2.0ms	N	@	inf	(*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
2.0ms	N	@	0	(cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
1.0ms	N	@	0	(/.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))))

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`associate-/r/`
398×	`add-sqr-sqrt`
388×	`*-un-lft-identity`
382×	`pow1`
370×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	155
1	385	77
2	5662	77

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs

(cbrt.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 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))

Outputs

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

simplify222.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

862×	`associate-r`
808×	`+-commutative`
798×	`associate-+r+`
732×	`associate-/r*`
534×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	15037
1	1223	13103
2	7259	13103

Stop Event

1×	node limit

Counts

213 → 252

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 32 to 16 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

714×	`distribute-lft-in`
626×	`unswap-sqr`
612×	`distribute-rgt-in`
552×	`associate-/l*`
544×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1259
1	241	1223
2	1004	1219
3	4117	1217

Stop Event

1×	node limit

Counts

67 → 62

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	2.7b	(+.f64 N (-.f64 1 N))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite97.0ms (1.1%)

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

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

simplify135.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1192×	`+-commutative`
960×	`associate--r+`
802×	`associate-+r-`
744×	`associate-+l-`
522×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	549	8154
1	1688	7700
2	6435	7544

Stop Event

1×	node limit

Counts

238 → 317

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

eval1.2s (12.7%)

Compiler: Compiled 59872 to 41105 computations (31.3% saved)

prune365.0ms (4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1406	10	1416
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1411	10	1421

Error

0.4b

Counts

1421 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	13.7b	(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) 3) 1/3)
▶	1.0b	(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))) 2)
	1.8b	(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))) 3)
	20.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
▶	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) 1) N))
▶	10.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
▶	28.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
	17.7b	(atan2.f64 (.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.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)))
▶	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 328 to 230 computations (29.9% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (*.f64 N N) 1) N)
✓	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) 1) N))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`associate-*r/`
790×	`*-commutative`
742×	`associate-*l/`
686×	`distribute-lft-in`
636×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	238	36
2	2759	36

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-*r/`
1358×	`associate-/r*`
1242×	`associate-*l/`
662×	`associate-+l+`
590×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	5489
1	830	5269
2	3445	5159

Stop Event

1×	node limit

Counts

129 → 177

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

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

localize6.0ms (0.1%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 25 to 13 computations (48% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.6%)

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

836×	`*-commutative`
744×	`associate-r`
602×	`associate-l`
564×	`distribute-lft-in`
522×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	750
1	102	630
2	408	630
3	2163	630
4	5368	630

Stop Event

1×	node limit

Counts

30 → 23

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.1b	(pow.f64 (fma.f64 N N (+.f64 1 N)) 3)
✓	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
✓	9.9b	(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))

Compiler

Compiled 53 to 31 computations (41.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`*-commutative`
688×	`unswap-sqr`
540×	`swap-sqr`
460×	`distribute-lft-in`
446×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	307	57
2	2924	57

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 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simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1142×	`associate-/l*`
1058×	`associate-/r*`
838×	`associate-+l+`
810×	`associate-+r+`
806×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	7886
1	1020	5050
2	4010	5018

Stop Event

1×	node limit

Counts

178 → 235

Calls

Call 1

Inputs
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(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 (*.f64 3 N) 1)
(+.f64 (.f64 3 N) (+.f64 (.f64 6 (pow.f64 N 2)) 1))
(+.f64 (.f64 3 N) (+.f64 (.f64 7 (pow.f64 N 3)) (+.f64 (*.f64 6 (pow.f64 N 2)) 1)))
(pow.f64 N 6)
(+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (.f64 3 (pow.f64 N 5))))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (.f64 7 (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))))
(pow.f64 N 6)
(+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (.f64 3 (pow.f64 N 5))))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (.f64 7 (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (+.f64 1 (*.f64 N N)) N)
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (.f64 1 (+.f64 1 (.f64 N N))) N)
(+.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1 N)) (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 N N)))
(+.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 N N)) (.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1 N)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3) (fma.f64 N N (+.f64 1 N)))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))
(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6)) (fma.f64 N N (+.f64 1 N))) (.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6)) (fma.f64 N N (+.f64 1 N))))
(.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))) (*.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))))
(.f64 (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))) (*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)))
(.f64 (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)) (*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)))
(.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)) (*.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)))
(.f64 (.f64 (fma.f64 N N (+.f64 1 N)) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6))) (.f64 (fma.f64 N N (+.f64 1 N)) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 3/4) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 3) 1/6))
(/.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 N N)) (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 N N))) (.f64 (.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))) (-.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 N N)) (*.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))

Outputs
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 (*.f64 3 N) 1)
(fma.f64 3 N 1)
(fma.f64 N 3 1)
(+.f64 (.f64 3 N) (+.f64 (.f64 6 (pow.f64 N 2)) 1))
(fma.f64 3 N (fma.f64 6 (*.f64 N N) 1))
(fma.f64 N 3 (fma.f64 6 (*.f64 N N) 1))
(+.f64 (.f64 3 N) (+.f64 (.f64 7 (pow.f64 N 3)) (+.f64 (*.f64 6 (pow.f64 N 2)) 1)))
(fma.f64 3 N (fma.f64 7 (pow.f64 N 3) (fma.f64 6 (*.f64 N N) 1)))
(fma.f64 N 3 (fma.f64 7 (pow.f64 N 3) (fma.f64 6 (*.f64 N N) 1)))
(pow.f64 N 6)
(+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))
(+.f64 (*.f64 3 (pow.f64 N 5)) (pow.f64 N 6))
(fma.f64 3 (pow.f64 N 5) (pow.f64 N 6))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (.f64 3 (pow.f64 N 5))))
(fma.f64 6 (pow.f64 N 4) (+.f64 (*.f64 3 (pow.f64 N 5)) (pow.f64 N 6)))
(fma.f64 6 (pow.f64 N 4) (fma.f64 3 (pow.f64 N 5) (pow.f64 N 6)))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (.f64 7 (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))))
(fma.f64 6 (pow.f64 N 4) (fma.f64 7 (pow.f64 N 3) (+.f64 (*.f64 3 (pow.f64 N 5)) (pow.f64 N 6))))
(fma.f64 6 (pow.f64 N 4) (fma.f64 7 (pow.f64 N 3) (fma.f64 3 (pow.f64 N 5) (pow.f64 N 6))))
(pow.f64 N 6)
(+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))
(+.f64 (*.f64 3 (pow.f64 N 5)) (pow.f64 N 6))
(fma.f64 3 (pow.f64 N 5) (pow.f64 N 6))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (.f64 3 (pow.f64 N 5))))
(fma.f64 6 (pow.f64 N 4) (+.f64 (*.f64 3 (pow.f64 N 5)) (pow.f64 N 6)))
(fma.f64 6 (pow.f64 N 4) (fma.f64 3 (pow.f64 N 5) (pow.f64 N 6)))
(+.f64 (.f64 6 (pow.f64 N 4)) (+.f64 (.f64 7 (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (*.f64 3 (pow.f64 N 5)))))
(fma.f64 6 (pow.f64 N 4) (fma.f64 7 (pow.f64 N 3) (+.f64 (*.f64 3 (pow.f64 N 5)) (pow.f64 N 6))))
(fma.f64 6 (pow.f64 N 4) (fma.f64 7 (pow.f64 N 3) (fma.f64 3 (pow.f64 N 5) (pow.f64 N 6))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 1 (+.f64 N (*.f64 N N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 1 N) (*.f64 N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 1 (*.f64 N N)) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 1 (+.f64 1 (.f64 N N))) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1 N)) (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 N N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 N N)) (.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1 N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 N (.f64 N N))) (.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 1 (.f64 N N))) (.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (+.f64 N (.f64 N N)) 1) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (+.f64 1 (.f64 N N)) 1) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (+.f64 1 N) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (.f64 (.f64 N N) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (.f64 N N) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (.f64 (+.f64 1 N) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (+.f64 N (.f64 N N)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (.f64 1 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (+.f64 1 (.f64 N N)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (.f64 N (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 N))) (-.f64 1 (*.f64 N N)))
(fma.f64 N N (expm1.f64 (log1p.f64 (+.f64 1 N))))
(-.f64 (/.f64 1 (-.f64 1 N)) (-.f64 (/.f64 (.f64 N N) (-.f64 1 N)) (.f64 N N)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 (-.f64 1 N) N))) (*.f64 N N))
(-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (*.f64 (/.f64 N (-.f64 1 N)) N))
(-.f64 (+.f64 (+.f64 2 N) (*.f64 N N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(-.f64 (+.f64 (*.f64 N N) (exp.f64 (log1p.f64 (+.f64 1 N)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 N))) (-.f64 1 (*.f64 N N)))
(fma.f64 N N (expm1.f64 (log1p.f64 (+.f64 1 N))))
(-.f64 (+.f64 (.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 (.f64 N N) (-.f64 1 N)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 (-.f64 1 N) N))) (*.f64 N N))
(-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (*.f64 (/.f64 N (-.f64 1 N)) N))
(*.f64 1 (fma.f64 N N (+.f64 1 N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(*.f64 (fma.f64 N N (+.f64 1 N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(.f64 (fma.f64 N N (+.f64 1 N)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 1/6)))
(*.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
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(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(.f64 (.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))
(*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2) (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(.f64 (.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3) (fma.f64 N N (+.f64 1 N)))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6)) (fma.f64 N N (+.f64 1 N))) (.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6)) (fma.f64 N N (+.f64 1 N))))
(.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6)))))
(.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2))))
(.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2))))
(.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))) (*.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(.f64 (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))) (*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2))))
(*.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(.f64 (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)) (*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2))))
(*.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2))))
(*.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)) (*.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/4) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2)) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3/2))))
(*.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 3))
(.f64 (.f64 (fma.f64 N N (+.f64 1 N)) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6))) (.f64 (fma.f64 N N (+.f64 1 N)) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6))))
(.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3/2) 1/6)))))
(.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3/2))))
(.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 3/4) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 3/4))
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 3/2)
(pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) 3/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) 3/2)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 3) 1/6))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(/.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (/.f64 (-.f64 (*.f64 N N) (+.f64 1 N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))
(/.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (/.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (.f64 N N))))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (.f64 N N))) (pow.f64 N 4))) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (/.f64 (-.f64 (*.f64 N N) (+.f64 1 N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (/.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (.f64 N N))))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (.f64 N N))) (pow.f64 N 4))) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (/.f64 (-.f64 (*.f64 N N) (+.f64 1 N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (/.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (.f64 N N))))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (.f64 N N))) (pow.f64 N 4))) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 N N)) (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 N N))) (.f64 (.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))) (-.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 N N)) (*.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (pow.f64 N 4)) (.f64 (pow.f64 (+.f64 1 N) 2) (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))) (-.f64 (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) (*.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))
(/.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3) (/.f64 (.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (-.f64 (fma.f64 N N -1) N)) (.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (-.f64 (fma.f64 N N -1) N))))
(.f64 (/.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) (.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) (-.f64 (fma.f64 N N -1) N))) (*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) (-.f64 (fma.f64 N N -1) N)))
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 6))
(sqrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 6))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 3))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(exp.f64 (*.f64 3 (log.f64 (fma.f64 N N (+.f64 1 N)))))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
(fma.f64 (+.f64 1 N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) (.f64 (.f64 N N) (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 3)
(pow.f64 (+.f64 1 (fma.f64 N N N)) 3)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))) 2)
✓	11.5b	(sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 61 to 33 computations (45.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite164.0ms (1.8%)

Algorithm

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

Rules

852×	`*-commutative`
852×	`*-commutative`
814×	`*-commutative`
600×	`unswap-sqr`
600×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	304	50
2	2849	50
0	12	25
1	259	25
2	2630	25
0	12	25
0	14	21
1	304	21
2	2849	21
0	14	21

Stop Event

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

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1050×	`unswap-sqr`
866×	`associate-r`
814×	`associate-+r+`
646×	`associate-+l+`
582×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1012
1	85	1012
2	315	1012
3	1809	1012
4	5952	1012

Stop Event

1×	node limit

Counts

44 → 27

Calls

Call 1

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

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

eval322.0ms (3.5%)

Compiler: Compiled 18578 to 11562 computations (37.8% saved)

prune133.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	700	11	711
Fresh	3	2	5
Picked	1	0	1
Done	4	0	4
Total	708	13	721

Error

0.4b

Counts

721 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	10.6b	(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) 3) 1/3)
	20.8b	(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))) 2)
▶	30.5b	(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (*.f64 N N))) 2)
	1.8b	(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))) 3)
▶	20.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))
	40.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 N 6)))
▶	17.7b	(atan2.f64 (.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.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)))
	20.3b	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
▶	0.4b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
	27.4b	(atan2.f64 1 (+.f64 N 1))
	0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
▶	30.4b	(atan2.f64 1 (*.f64 N N))
	2.1b	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))))

Compiler

Compiled 448 to 322 computations (28.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 N (+.f64 1 (*.f64 N N)))
✓	0.4b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`add-sqr-sqrt`
1878×	`*-un-lft-identity`
1760×	`add-cube-cbrt`
1746×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	173	36
2	2380	36

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate--r+`
1168×	`associate-+l-`
1166×	`associate-+r-`
868×	`distribute-lft-in`
768×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2279
1	353	1901
2	1369	1893
3	6079	1893

Stop Event

1×	node limit

Counts

79 → 81

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(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))

rewrite49.0ms (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))

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))
✓	0.4b	(/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N))
✓	9.8b	(-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))
✓	17.0b	(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)))

Compiler

Compiled 102 to 51 computations (50% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite133.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`associate-/r*`
1304×	`associate-/r/`
1020×	`associate-/l*`
328×	`add-sqr-sqrt`
320×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	148
1	360	84
2	4498	84

Stop Event

1×	node limit

Counts

4 → 320

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 N N) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (.f64 N N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N N) (-.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 N N) 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 (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (pow.f64 (+.f64 (.f64 N N) 1) 2)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (.f64 N (neg.f64 N))) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (pow.f64 (+.f64 (.f64 N N) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N))) (.f64 (.f64 N (neg.f64 N)) (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 N (neg.f64 N)) (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N))) (.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 N N) 1) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 N N) 1) (-.f64 1 (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 N) (-.f64 1 (+.f64 (.f64 N N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 N (+.f64 (.f64 N N) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 N N) 1))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 (/.f64 1 (fma.f64 N N -1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (+.f64 (/.f64 1 (fma.f64 N N -1)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (-.f64 (+.f64 (.f64 N N) 1) N)) (/.f64 N (/.f64 (-.f64 (+.f64 (.f64 N N) 1) N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (+.f64 N (.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (exp.f64 (log1p.f64 (+.f64 (.f64 N N) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N -1))) (/.f64 1 (fma.f64 N N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 N (+.f64 (.f64 N N) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (-.f64 (+.f64 (.f64 N N) 1) N) (+.f64 (.f64 N N) (pow.f64 (+.f64 (.f64 N N) 1) 2))) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 4) (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (-.f64 (+.f64 (.f64 N N) 1) N) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 (.f64 N (+.f64 (.f64 N N) 1)) 2) (pow.f64 (+.f64 (.f64 N N) 1) 4)))) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 6) (pow.f64 N 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (/.f64 1 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)) (-.f64 (+.f64 (.f64 N N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))) (/.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 N N) 1) N)) (sqrt.f64 (+.f64 N (+.f64 (.f64 N N) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))) (/.f64 (-.f64 (+.f64 (.f64 N N) 1) N) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 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simplify157.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1674×	`associate-/l*`
1144×	`associate-r`
950×	`associate-/l/`
896×	`associate-l`
848×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	781	22990
1	2211	22568

Stop Event

1×	node limit

Counts

368 → 521

Calls

Call 1

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

Outputs
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
1
(+.f64 1 (pow.f64 N 2))
(fma.f64 N N 1)
(+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 N N 1) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (fma.f64 N N 1))
(+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 N N 1) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (fma.f64 N N 1))
(pow.f64 N 4)
(+.f64 (pow.f64 N 2) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 N N 1) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (fma.f64 N N 1))
(+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 N N 1) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (fma.f64 N N 1))
(pow.f64 N 4)
(+.f64 (pow.f64 N 2) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 N N 1) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (fma.f64 N N 1))
(+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 N N 1) (pow.f64 N 4))
(+.f64 (pow.f64 N 4) (fma.f64 N N 1))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (*.f64 -1 (pow.f64 N 3))))
(+.f64 N (+.f64 1 (pow.f64 (neg.f64 N) 3)))
(+.f64 (pow.f64 (neg.f64 N) 3) (+.f64 1 N))
(+.f64 N (+.f64 1 (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 -1 (pow.f64 N 3)))))
(+.f64 N (+.f64 1 (fma.f64 -1 (pow.f64 N 4) (pow.f64 (neg.f64 N) 3))))
(+.f64 1 (+.f64 N (fma.f64 -1 (pow.f64 N 4) (pow.f64 (neg.f64 N) 3))))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2)))
(+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 5)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 5))))
(+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 5))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 6)) (/.f64 1 (pow.f64 N 5))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 (pow.f64 N 5)) (/.f64 1 (pow.f64 N 6)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 5)))) (/.f64 1 (pow.f64 N 6)))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2)))
(+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 5)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 5))))
(+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 5))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 6)) (/.f64 1 (pow.f64 N 5))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 (pow.f64 N 5)) (/.f64 1 (pow.f64 N 6)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 5)))) (/.f64 1 (pow.f64 N 6)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (-.f64 (+.f64 1 (pow.f64 N 2)) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 N 2)) 2) (pow.f64 N 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (-.f64 (*.f64 N N) (neg.f64 N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 (*.f64 N N) 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (-.f64 1 (neg.f64 N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 (*.f64 N N) 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (pow.f64 (+.f64 (.f64 N N) 1) 2)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (.f64 N (neg.f64 N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(+.f64 (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (.f64 N (neg.f64 N))) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (pow.f64 (+.f64 (.f64 N N) 1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(+.f64 (.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N))) (.f64 (.f64 N (neg.f64 N)) (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
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(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(-.f64 (+.f64 (*.f64 N N) 1) (neg.f64 N))
(+.f64 N (fma.f64 N N 1))
(-.f64 (+.f64 (*.f64 N N) 1) (-.f64 1 (+.f64 1 N)))
(+.f64 N (fma.f64 N N 1))
(-.f64 (+.f64 1 N) (-.f64 1 (+.f64 (*.f64 N N) 1)))
(+.f64 1 (-.f64 N (-.f64 1 (fma.f64 N N 1))))
(+.f64 (fma.f64 N N 1) (+.f64 N 0))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N (+.f64 (*.f64 N N) 1)))) 1)
(+.f64 N (fma.f64 N N 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 N N) 1))) (-.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 N))
(+.f64 -1 (+.f64 N (exp.f64 (log1p.f64 (fma.f64 N N 1)))))
(-.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 (/.f64 1 (fma.f64 N N -1)) N))
(+.f64 (-.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (/.f64 1 (fma.f64 N N -1))) N)
(+.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 N (/.f64 1 (fma.f64 N N -1))))
(-.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (+.f64 (/.f64 1 (fma.f64 N N -1)) (neg.f64 N)))
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(+.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 N (/.f64 1 (fma.f64 N N -1))))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (-.f64 (+.f64 (.f64 N N) 1) N)) (/.f64 N (/.f64 (-.f64 (+.f64 (*.f64 N N) 1) N) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(-.f64 (+.f64 2 (+.f64 N (*.f64 N N))) 1)
(+.f64 N (fma.f64 N N 1))
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (+.f64 (*.f64 N N) 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 N))
(+.f64 -1 (+.f64 N (exp.f64 (log1p.f64 (fma.f64 N N 1)))))
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(+.f64 (-.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N -1)) (/.f64 1 (fma.f64 N N -1))) N)
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(/.f64 1 (/.f64 1 (+.f64 N (+.f64 (*.f64 N N) 1))))
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(.f64 (/.f64 1 (.f64 (-.f64 (fma.f64 N N 1) N) (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)))) (-.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 N 4)))
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(.f64 (/.f64 1 (.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 (+.f64 (pow.f64 N 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (fma.f64 N N 1) 4)))) (-.f64 (pow.f64 (fma.f64 N N 1) 6) (pow.f64 N 6)))
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(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N))) (sqrt.f64 (-.f64 (fma.f64 N N 1) N))) (sqrt.f64 (+.f64 N (fma.f64 N N 1))))
(.f64 (sqrt.f64 (+.f64 N (fma.f64 N N 1))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N N))) (sqrt.f64 (-.f64 (fma.f64 N N 1) N))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))) (/.f64 (-.f64 (+.f64 (.f64 N N) 1) N) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N N))) 2)))
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(.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) (/.f64 1 (.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N))) (cbrt.f64 (+.f64 N (fma.f64 N N 1)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 N N) 1) N)) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 3) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N (+.f64 N (+.f64 (.f64 N N) 1))))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (+.f64 N (fma.f64 N N 1))))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (+.f64 N (fma.f64 N N 1))))))
(.f64 (/.f64 (+.f64 N (+.f64 (.f64 N N) 1)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 4) (.f64 (.f64 N (neg.f64 N)) (.f64 N (neg.f64 N))))) (+.f64 (.f64 N N) (pow.f64 (+.f64 (.f64 N N) 1) 2)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 N 4))) (.f64 (+.f64 N (fma.f64 N N 1)) (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2))))
(/.f64 (+.f64 N (fma.f64 N N 1)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 N 4)) (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2))))
(.f64 (/.f64 (+.f64 N (+.f64 (.f64 N N) 1)) (+.f64 (pow.f64 (+.f64 (.f64 N N) 1) 6) (pow.f64 (.f64 N (neg.f64 N)) 3))) (+.f64 (pow.f64 (+.f64 (.f64 N N) 1) 4) (-.f64 (.f64 (.f64 N (neg.f64 N)) (.f64 N (neg.f64 N))) (.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N (neg.f64 N))))))
(.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 4) (-.f64 (pow.f64 N 4) (.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (neg.f64 N))))) (/.f64 (+.f64 N (fma.f64 N N 1)) (+.f64 (pow.f64 (fma.f64 N N 1) 6) (pow.f64 (.f64 N (neg.f64 N)) 3))))
(/.f64 (.f64 (+.f64 N (fma.f64 N N 1)) (+.f64 (pow.f64 (fma.f64 N N 1) 4) (-.f64 (pow.f64 N 4) (.f64 (neg.f64 N) (.f64 N (pow.f64 (fma.f64 N N 1) 2)))))) (+.f64 (pow.f64 (fma.f64 N N 1) 6) (.f64 (pow.f64 N 6) -1)))
(.f64 (/.f64 (+.f64 N (+.f64 (.f64 N N) 1)) (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 4) (pow.f64 N 4)))) (neg.f64 (+.f64 (.f64 N N) (pow.f64 (+.f64 (*.f64 N N) 1) 2))))
(*.f64 (neg.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2))) (/.f64 (+.f64 N (fma.f64 N N 1)) (neg.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 N 4)))))
(.f64 (/.f64 (+.f64 N (+.f64 (.f64 N N) 1)) (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 6) (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 (.f64 N (+.f64 (.f64 N N) 1)) 2) (pow.f64 (+.f64 (.f64 N N) 1) 4)))))
(.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 N 4) (pow.f64 (.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (fma.f64 N N 1) 4))) (/.f64 (+.f64 N (fma.f64 N N 1)) (neg.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 6) (pow.f64 N 6)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 4) (+.f64 (pow.f64 N 4) (pow.f64 (.f64 N (fma.f64 N N 1)) 2)))) (/.f64 (+.f64 N (fma.f64 N N 1)) (neg.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 6) (pow.f64 N 6)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N (+.f64 N (+.f64 (.f64 N N) 1)))) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 6) (pow.f64 N 6))) (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 (.f64 N N) 1) 3)))
(.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 N (fma.f64 N N 1)))) (-.f64 (pow.f64 (fma.f64 N N 1) 6) (pow.f64 N 6))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N (+.f64 N (+.f64 (.f64 N N) 1)))) (-.f64 (pow.f64 (pow.f64 (+.f64 (.f64 N N) 1) 3) 3) (pow.f64 (pow.f64 N 3) 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (.f64 N N) 1) 6)) (.f64 (pow.f64 (+.f64 (.f64 N N) 1) 3) (pow.f64 N 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 N (fma.f64 N N 1)))) (-.f64 (pow.f64 (pow.f64 (fma.f64 N N 1) 3) 3) (pow.f64 (pow.f64 N 3) 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 (fma.f64 N N 1) 6)) (*.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (.f64 N (+.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 N N 1) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (+.f64 (pow.f64 N 6) (+.f64 (pow.f64 (fma.f64 N N 1) 6) (.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3))))))
(pow.f64 (-.f64 (+.f64 (*.f64 N N) 1) N) -1)
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(pow.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N)) 1)
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 N N) 1) N) -1/2) 2)
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (+.f64 (*.f64 N N) 1) N))) 3)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 3))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N)) 3) 1/3)
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (*.f64 N N) 1) N) -2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 N N 1) N) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N))))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N)))))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N)) 3))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N))))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 N N) 1) N))))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (.f64 N N) 1) N)) -1))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (.f64 N N) 1) N))) 1))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 N N) 1) N))))
(/.f64 1 (-.f64 (fma.f64 N N 1) N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)))))) 1)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(.f64 1 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N N)))) 1)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))) (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N N))))) 2))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))) 2) (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)))) 1)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))) 2)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))) 3)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)))) 3) 1/3)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)))) 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N)))) 3))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(exp.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(exp.f64 (.f64 (log.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (*.f64 N N))))) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (-.f64 (pow.f64 (+.f64 (.f64 N N) 1) 2) (.f64 N N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N)))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (*.f64 N N))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (*.f64 N N))) 2)
✓	11.5b	(sqrt.f64 (atan2.f64 (+.f64 1 (-.f64 N N)) (*.f64 N N)))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`add-sqr-sqrt`
1560×	`*-un-lft-identity`
1450×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	258	43
2	2276	43

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-+r+`
1244×	`associate-+l+`
972×	`fma-def`
562×	`*-commutative`
426×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1453
1	179	1453
2	728	1453
3	2492	1453

Stop Event

1×	node limit

Counts

101 → 50

Calls

Call 1

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

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

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 1 N) 3)
✓	0.4b	(atan2.f64 (.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.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)))
✓	5.8b	(/.f64 (*.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
✓	12.0b	(.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))

Compiler

Compiled 132 to 88 computations (33.3% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))
2.0ms	N	@	-inf	(.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (-.f64 (fma.f64 N N 1) N))
1.0ms	N	@	inf	(.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.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 (.f64 1 (-.f64 N (-.f64 1 N))) (-.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 (.f64 1 (-.f64 N (-.f64 1 N))) (-.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)))

rewrite111.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	206
1	452	202
2	6720	202

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
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simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-+r+`
864×	`associate-+l+`
722×	`associate-l`
672×	`associate-r`
622×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	10694
1	1171	9504
2	5773	9488

Stop Event

1×	node limit

Counts

188 → 231

Calls

Call 1

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

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

eval586.0ms (6.5%)

Compiler: Compiled 32043 to 19295 computations (39.8% saved)

prune183.0ms (2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	893	8	901
Fresh	4	4	8
Picked	1	0	1
Done	2	2	4
Total	900	14	914

Error

0.4b

Counts

914 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	10.6b	(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) 3) 1/3)
	30.5b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	17.7b	(atan2.f64 (/.f64 (-.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)))
	50.0b	(atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (pow.f64 N 4)))
	20.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (.f64 (/.f64 1 (-.f64 (+.f64 (.f64 N N) 1) N)) (.f64 (+.f64 N (+.f64 (.f64 N N) 1)) (-.f64 (+.f64 (*.f64 N N) 1) N))))
	42.3b	(atan2.f64 (.f64 (/.f64 (/.f64 1 N) N) (-.f64 (fma.f64 N N 1) N)) (+.f64 (+.f64 N 1) (.f64 N N)))
	20.3b	(atan2.f64 1 (/.f64 (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (pow.f64 N 4)) (-.f64 (+.f64 1 N) (.f64 N N))))
✓	0.4b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
	30.1b	(atan2.f64 1 (+.f64 N (*.f64 N N)))
	27.4b	(atan2.f64 1 (+.f64 N 1))
	0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
✓	30.4b	(atan2.f64 1 (*.f64 N N))
	28.3b	(atan2.f64 1 1)
	2.1b	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))))

Compiler

Compiled 227 to 159 computations (30% saved)

regimes30.0ms (0.3%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	N
4.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

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

Compiler

Compiled 563 to 352 computations (37.5% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.4b	1	`N`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes13.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.9b	3	`N`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	9.432222083960672e-5	1.5650699176426168
16.0ms	-5.742056196411494	-0.10042070639912659

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 252 to 189 computations (25% saved)

regimes11.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.2b	3	`N`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.5650699176426168	11.690468866680279
18.0ms	-5.742056196411494	-0.10042070639912659

Results

31.0ms

208×

body

256

valid

Compiler

Compiled 194 to 152 computations (21.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -53.3b remaining (-1984.5%)

Threshold costs -53.3b (-1984.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
2.7b	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	9.432222083960672e-5	1.5650699176426168
16.0ms	-5.742056196411494	-0.10042070639912659

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 192 to 159 computations (17.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	210
1	51	210

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 84 to 64 computations (23.8% saved)

soundness99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

836×	`*-commutative`
744×	`associate-r`
602×	`associate-l`
564×	`distribute-lft-in`
522×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	750
1	102	630
2	408	630
3	2163	630
4	5368	630

Stop Event

1×	node limit

Compiler

Compiled 19 to 14 computations (26.3% saved)

end49.0ms (0.5%)

Compiler: Compiled 79 to 56 computations (29.1% 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

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