Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.0s (23.4%)

Results

875.0ms	2196×	body	2048	valid
612.0ms	4501×	body	256	valid
355.0ms	1042×	body	1024	valid
122.0ms	517×	body	512	valid

Bogosity

preprocess49.0ms (0.6%)

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

14.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.1b	(-.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))
✓	1.2b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite127.0ms (1.5%)

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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simplify124.0ms (1.5%)

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))

eval110.0ms (1.3%)

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

prune80.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	2	213

Error

0.4b

Counts

213 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.9b	(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)))

Compiler

Compiled 27 to 17 computations (37% saved)

localize35.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 16 computations (50% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

Outputs

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

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

30 → 22

Calls

Call 1

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

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

localize51.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	1.0b	(+.f64 N (-.f64 1 N))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 N 1) 0) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N (-.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) (+.f64 N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 N 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))))))

simplify145.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

238 → 313

Calls

Call 1

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

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

eval252.0ms (3%)

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

prune52.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	330	5	335
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	332	5	337

Error

0.3b

Counts

337 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	1.6b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
▶	12.9b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	30.4b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
▶	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 144 to 102 computations (29.2% saved)

localize10.0ms (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)))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

30 → 22

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.0b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	1.0b	(-.f64 (+.f64 N 1) N)

Compiler

Compiled 34 to 18 computations (47.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (-.f64 1 N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (-.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (neg.f64 N))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 N (+.f64 N 1))) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N))))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N))) (+.f64 1 (-.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3))) (+.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (*.f64 N N) (+.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (+.f64 N (*.f64 N (+.f64 N N))) (+.f64 N (*.f64 N (+.f64 N N)))))) (-.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (+.f64 N (*.f64 N (+.f64 N N))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (-.f64 (*.f64 (+.f64 N (*.f64 N (+.f64 N N))) (+.f64 N (*.f64 N (+.f64 N N)))) (*.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (-.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N N)) (+.f64 N (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (+.f64 N 1)) (/.f64 (+.f64 N (+.f64 N 1)) (+.f64 1 (-.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 N (*.f64 N (+.f64 N N)))) (/.f64 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simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

162 → 190

Calls

Call 1

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

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

localize66.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 N (*.f64 N N))
	1.0b	(+.f64 N (-.f64 1 N))
✓	17.8b	(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
✓	22.3b	(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))

Compiler

Compiled 88 to 52 computations (40.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite152.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`associate-/r/`
918×	`associate-/l/`
424×	`associate-+l+`
342×	`+-commutative`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	333	83
2	4838	83

Stop Event

1×	node limit

Counts

3 → 234

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

946×	`associate-r`
868×	`associate-l`
750×	`associate-/l*`
702×	`distribute-lft-in`
664×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	14274
1	1957	13600

Stop Event

1×	node limit

Counts

270 → 381

Calls

Call 1

Inputs
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
1
(+.f64 1 (*.f64 2 N))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (.f64 2 N))))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N))))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 2 N))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(*.f64 -1 (pow.f64 N 2))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(*.f64 -1 (pow.f64 N 2))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))))
(-.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))))
(.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (+.f64 (pow.f64 (-.f64 N (.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (fma.f64 N N (-.f64 1 N)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (pow.f64 (-.f64 N (.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))) (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (neg.f64 (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2)))) (neg.f64 (fma.f64 N N (-.f64 1 N))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (neg.f64 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N -1)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (+.f64 1 (+.f64 N (.f64 N N))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (-.f64 N (.f64 N N)) 2) 1)) (-.f64 (-.f64 N (*.f64 N N)) 1))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (+.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (.f64 (+.f64 N 1) (*.f64 N N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12))) (neg.f64 (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (+.f64 N 1) 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12))) (.f64 1 (neg.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (+.f64 N 1) 4))))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 4) (*.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 4) (.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4)) (.f64 (pow.f64 N 8) (pow.f64 N 8))) (*.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 8) (pow.f64 (+.f64 N 1) 4))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (+.f64 N 1) 6)) (.f64 (pow.f64 N 12) (pow.f64 N 12))) (.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (+.f64 N 1) 4))) (+.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (neg.f64 (pow.f64 N 4)) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 N 1) 4) (.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (neg.f64 (pow.f64 N 4)) 3)) (.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 N 1) 4) (.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (*.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 4) 3) (pow.f64 (pow.f64 N 8) 3)) (.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4)) (+.f64 (.f64 (pow.f64 N 8) (pow.f64 N 8)) (.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 N 8))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 6) 3) (pow.f64 (pow.f64 N 12) 3)) (.f64 (+.f64 (pow.f64 N 8) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (+.f64 N 1) 4))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (+.f64 N 1) 6)) (.f64 (pow.f64 N 12) (pow.f64 N 12))) (*.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(fma.f64 1 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4)))
(fma.f64 (+.f64 N 1) (+.f64 N 1) (neg.f64 (pow.f64 N 4)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (neg.f64 (pow.f64 N 4)))
(+.f64 N (*.f64 N (neg.f64 N)))
(+.f64 N (.f64 (.f64 N (neg.f64 N)) 1))
(+.f64 N (+.f64 (.f64 N (neg.f64 N)) (fma.f64 (neg.f64 N) N (.f64 N N))))
(+.f64 N (+.f64 (.f64 (.f64 N (neg.f64 N)) 1) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 N (+.f64 (.f64 N (neg.f64 N)) (fma.f64 (.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 N (+.f64 (.f64 (.f64 N (neg.f64 N)) 1) (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N))))
(+.f64 N (+.f64 (.f64 N (neg.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N))))
(+.f64 N (+.f64 (.f64 (.f64 N (neg.f64 N)) 1) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 N (-.f64 (-.f64 0 (fma.f64 N N -1)) 1))
(+.f64 N (-.f64 (-.f64 1 (*.f64 N N)) 1))
(+.f64 1 (-.f64 (-.f64 N (*.f64 N N)) 1))
(+.f64 (+.f64 N 1) (-.f64 (*.f64 N (neg.f64 N)) 1))
(+.f64 (-.f64 N (*.f64 N N)) 0)
(+.f64 (-.f64 N (.f64 N N)) (fma.f64 (neg.f64 N) N (.f64 N N)))
(+.f64 (-.f64 N (.f64 N N)) (fma.f64 (.f64 N (neg.f64 N)) 1 (*.f64 N N)))
(+.f64 (-.f64 N (.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N)))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) N (.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N)) (fma.f64 (neg.f64 N) N (.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) N (.f64 N N)) (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N)) (fma.f64 (.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N)) (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (neg.f64 N) N (.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N))))
(+.f64 (-.f64 N (.f64 N N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) 1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N)) 1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) 1))
(+.f64 (*.f64 N (neg.f64 N)) N)
(+.f64 (.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 N) N (.f64 N N))))
(+.f64 (.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 (.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N))))
(+.f64 (.f64 (.f64 N (neg.f64 N)) 1) N)
(+.f64 (fma.f64 (neg.f64 N) N (.f64 N N)) (-.f64 N (.f64 N N)))
(+.f64 (fma.f64 (.f64 N (neg.f64 N)) 1 (.f64 N N)) (-.f64 N (*.f64 N N)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (.f64 N N)) (-.f64 N (.f64 N N)))
(+.f64 (-.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)
(*.f64 N (-.f64 1 N))
(.f64 1 (-.f64 N (.f64 N N)))
(.f64 (-.f64 N (.f64 N N)) 1)
(.f64 (sqrt.f64 (-.f64 N (.f64 N N))) (sqrt.f64 (-.f64 N (*.f64 N N))))
(.f64 (cbrt.f64 (-.f64 N (.f64 N N))) (pow.f64 (cbrt.f64 (-.f64 N (*.f64 N N))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 N (.f64 N N))) 2) (cbrt.f64 (-.f64 N (*.f64 N N))))
(.f64 (-.f64 (.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N))))
(*.f64 (-.f64 1 N) N)
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(*.f64 (+.f64 N (sqrt.f64 N)) (-.f64 (sqrt.f64 N) N))
(.f64 (/.f64 1 (+.f64 N (.f64 N N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))
(*.f64 (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (-.f64 (pow.f64 N 3) (pow.f64 N 6)))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 4)) (-.f64 (.f64 N N) (pow.f64 N 4))) (-.f64 N (.f64 N N)))
(.f64 (/.f64 (-.f64 (.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (.f64 (.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))))
(/.f64 1 (/.f64 (+.f64 N (.f64 N N)) (-.f64 (.f64 N N) (pow.f64 N 4))))
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (-.f64 (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 (-.f64 (.f64 N N) (pow.f64 N 4)) (+.f64 N (.f64 N N)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (-.f64 (.f64 N N) (.f64 (.f64 N (neg.f64 N)) (.f64 N (neg.f64 N)))) (-.f64 N (*.f64 N (neg.f64 N))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (.f64 (+.f64 N (.f64 N N)) (+.f64 (pow.f64 N 4) (*.f64 N N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (.f64 N (neg.f64 N)) 3)) (-.f64 (+.f64 (.f64 N N) (.f64 (.f64 N (neg.f64 N)) (.f64 N (neg.f64 N)))) (.f64 N (*.f64 N (neg.f64 N)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 12)) (.f64 (pow.f64 N 3) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (.f64 (+.f64 N (.f64 N N)) (+.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 8)) (pow.f64 N 6))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (pow.f64 N 4))) (neg.f64 (+.f64 N (.f64 N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(pow.f64 (-.f64 N (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (-.f64 N (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (-.f64 N (*.f64 N N))) 3)
(pow.f64 (pow.f64 (-.f64 N (*.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2))
(log.f64 (exp.f64 (-.f64 N (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (*.f64 N N)))))
(cbrt.f64 (pow.f64 (-.f64 N (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (*.f64 N N))))
(exp.f64 (log.f64 (-.f64 N (*.f64 N N))))
(exp.f64 (.f64 (log.f64 (-.f64 N (.f64 N N))) 1))
(log1p.f64 (expm1.f64 (-.f64 N (*.f64 N N))))
(fma.f64 1 N (*.f64 N (neg.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N (neg.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N (neg.f64 N)))

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
✓	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	17.0b	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	N	@	inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
2.0ms	N	@	-inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
2.0ms	N	@	0	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
1.0ms	N	@	inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	244	67
2	2634	67

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

140 → 98

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	16.5b	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	242	46
2	2561	46

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 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simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 90

Calls

Call 1

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

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

eval1.2s (14.3%)

Compiler: Compiled 40977 to 26936 computations (34.3% saved)

prune357.0ms (4.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1260	11	1271
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	1261	15	1276

Error

0.3b

Counts

1276 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	1.0b	(pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) 2)
✓	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	1.6b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
✓	12.9b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
	30.4b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (+.f64 (.f64 N (+.f64 2 N)) (-.f64 1 (pow.f64 N 4))) (+.f64 1 (-.f64 N (.f64 N N)))))
▶	55.9b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	22.8b	(atan2.f64 (.f64 (/.f64 (fma.f64 2 N 1) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) (-.f64 (pow.f64 (+.f64 1 N) 2) N)) (+.f64 (+.f64 N 1) (.f64 N N)))
▶	0.6b	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
▶	25.9b	(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 (+.f64 N 1) (*.f64 N N)))
	32.1b	(atan2.f64 1 (+.f64 N 1))
	25.9b	(atan2.f64 1 (.f64 (/.f64 1 (+.f64 1 (-.f64 N (.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
▶	26.3b	(atan2.f64 1 (*.f64 N N))
	1.5b	(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))

Compiler

Compiled 512 to 376 computations (26.6% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
✓	0.4b	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
✓	17.0b	(cbrt.f64 (+.f64 1 (fma.f64 N N N)))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series5.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

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

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (*.f64 (pow.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6) (pow.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (/.f64 1 (cbrt.f64 (-.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6) (pow.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6)) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (-.f64 1 (fma.f64 N N N))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 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simplify125.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

197 → 297

Calls

Call 1

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

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

localize4.0ms (0%)

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))

rewrite46.0ms (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))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	0.0b	(-.f64 N (*.f64 N N))
	1.0b	(+.f64 N (-.f64 1 N))
✓	22.3b	(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))

Compiler

Compiled 64 to 33 computations (48.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`associate-/r*`
436×	`associate-+l+`
356×	`+-commutative`
354×	`add-sqr-sqrt`
346×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	349	80
2	5122	80

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (+.f64 N (-.f64 1 (*.f64 N N))))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (*.f64 N N)))) 0) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (*.f64 N N)))) (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (*.f64 N N)))) (/.f64 0 (+.f64 N (-.f64 1 (*.f64 N N))))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 N (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 4) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 4) (/.f64 -1 (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N N) (*.f64 (*.f64 N N) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))) (/.f64 (*.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 2) (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 N 8)) (*.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N)))) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N)))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (+.f64 1 (-.f64 (*.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (+.f64 1 (*.f64 (-.f64 N (*.f64 N N)) (-.f64 N (+.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 N N) 1) (/.f64 (*.f64 N N) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 N N) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N)))) 2)) (/.f64 (*.f64 N N) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) 1) (/.f64 (cbrt.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))) (/.f64 (cbrt.f64 (pow.f64 N 4)) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N)))) 2)) (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N)))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 4 (log.f64 N)) (log1p.f64 (-.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 4 (log.f64 N)) (log1p.f64 (-.f64 N (*.f64 N N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))))))

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-*r/`
980×	`associate-/l*`
830×	`associate-*l/`
742×	`distribute-lft-in`
702×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	3558
1	511	3478
2	1966	3234

Stop Event

1×	node limit

Counts

88 → 120

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 5) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 5) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 -2 (pow.f64 N 6))))
(+.f64 (pow.f64 N 5) (+.f64 (.f64 -1 (pow.f64 N 4)) (+.f64 (.f64 3 (pow.f64 N 7)) (*.f64 -2 (pow.f64 N 6)))))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 2 (pow.f64 N 2)))
(+.f64 N (+.f64 2 (+.f64 (*.f64 3 (/.f64 1 N)) (pow.f64 N 2))))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 2 (pow.f64 N 2)))
(+.f64 N (+.f64 2 (+.f64 (*.f64 3 (/.f64 1 N)) (pow.f64 N 2))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(+.f64 0 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))) 1)
(+.f64 (-.f64 0 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(+.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) 0) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(+.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))))) 1)
(+.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(-.f64 0 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 1)
(-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (pow.f64 N 4) (/.f64 1 (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (pow.f64 N 4) (/.f64 -1 (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 1 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (.f64 N N) (.f64 (.f64 N N) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))) 1)
(.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) 2) (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 -1 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (/.f64 1 (+.f64 N (-.f64 1 (.f64 N N)))) (pow.f64 N 4))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 1 (.f64 (-.f64 N (.f64 N N)) (-.f64 N (+.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (.f64 N N) 1) (/.f64 (.f64 N N) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (/.f64 (.f64 N N) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (.f64 N N) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) 1) (/.f64 (cbrt.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (cbrt.f64 (pow.f64 N 4)) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 -1 (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(pow.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 1)
(pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 N (-.f64 1 (*.f64 N N))) (pow.f64 N 4)) -1)
(neg.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(sqrt.f64 (/.f64 (pow.f64 N 8) (pow.f64 (+.f64 N (-.f64 1 (*.f64 N N))) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (+.f64 N (-.f64 1 (*.f64 N N))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(exp.f64 (-.f64 (.f64 4 (log.f64 N)) (log1p.f64 (-.f64 N (.f64 N N)))))
(exp.f64 (.f64 (-.f64 (.f64 4 (log.f64 N)) (log1p.f64 (-.f64 N (*.f64 N N)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))) 1)
(.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))))
(.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) 1)
(.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 3)
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 2))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(exp.f64 (.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))

Outputs
(*.f64 -1 (pow.f64 N 4))
(neg.f64 (pow.f64 N 4))
(+.f64 (pow.f64 N 5) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (neg.f64 (pow.f64 N 4)) (pow.f64 N 5))
(-.f64 (pow.f64 N 5) (pow.f64 N 4))
(+.f64 (pow.f64 N 5) (+.f64 (.f64 -1 (pow.f64 N 4)) (.f64 -2 (pow.f64 N 6))))
(+.f64 (pow.f64 N 5) (fma.f64 -1 (pow.f64 N 4) (*.f64 -2 (pow.f64 N 6))))
(+.f64 (pow.f64 N 5) (fma.f64 -2 (pow.f64 N 6) (neg.f64 (pow.f64 N 4))))
(-.f64 (+.f64 (pow.f64 N 5) (*.f64 -2 (pow.f64 N 6))) (pow.f64 N 4))
(+.f64 (pow.f64 N 5) (+.f64 (.f64 -1 (pow.f64 N 4)) (+.f64 (.f64 3 (pow.f64 N 7)) (*.f64 -2 (pow.f64 N 6)))))
(+.f64 (pow.f64 N 5) (fma.f64 -1 (pow.f64 N 4) (fma.f64 3 (pow.f64 N 7) (*.f64 -2 (pow.f64 N 6)))))
(+.f64 (-.f64 (pow.f64 N 5) (pow.f64 N 4)) (fma.f64 -2 (pow.f64 N 6) (*.f64 3 (pow.f64 N 7))))
(+.f64 (-.f64 (pow.f64 N 5) (pow.f64 N 4)) (fma.f64 3 (pow.f64 N 7) (*.f64 -2 (pow.f64 N 6))))
(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 2 (pow.f64 N 2)))
(+.f64 N (+.f64 2 (*.f64 N N)))
(+.f64 2 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 2))
(+.f64 N (+.f64 2 (+.f64 (*.f64 3 (/.f64 1 N)) (pow.f64 N 2))))
(+.f64 N (+.f64 2 (+.f64 (/.f64 3 N) (*.f64 N N))))
(+.f64 2 (+.f64 (fma.f64 N N (/.f64 3 N)) N))
(+.f64 N (+.f64 (fma.f64 N N 2) (/.f64 3 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 2 (pow.f64 N 2)))
(+.f64 N (+.f64 2 (*.f64 N N)))
(+.f64 2 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 2))
(+.f64 N (+.f64 2 (+.f64 (*.f64 3 (/.f64 1 N)) (pow.f64 N 2))))
(+.f64 N (+.f64 2 (+.f64 (/.f64 3 N) (*.f64 N N))))
(+.f64 2 (+.f64 (fma.f64 N N (/.f64 3 N)) N))
(+.f64 N (+.f64 (fma.f64 N N 2) (/.f64 3 N)))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 N 1) (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (.f64 -1 (/.f64 (pow.f64 N 4) (-.f64 1 (+.f64 (pow.f64 N 2) (.f64 -1 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(+.f64 0 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))) 1)
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(+.f64 (-.f64 0 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(+.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) 0) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(+.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))))) 1)
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(+.f64 (-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(-.f64 0 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 1)
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(-.f64 (/.f64 0 (+.f64 N (-.f64 1 (.f64 N N)))) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (pow.f64 N 4) (/.f64 1 (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (pow.f64 N 4) (/.f64 -1 (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 1 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (.f64 N N) (.f64 (.f64 N N) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))) 1)
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) 2)
(pow.f64 (.f64 (/.f64 N (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) N) 2)
(pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) 2)
(.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 2))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) 2) (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (.f64 (cbrt.f64 (pow.f64 N 4)) (/.f64 1 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (/.f64 (.f64 (cbrt.f64 (pow.f64 N 4)) 1) (+.f64 N (-.f64 1 (*.f64 N N)))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (/.f64 (cbrt.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (.f64 N N)))))
(.f64 -1 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (/.f64 1 (+.f64 N (-.f64 1 (.f64 N N)))) (pow.f64 N 4))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) 2)
(pow.f64 (.f64 (/.f64 N (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) N) 2)
(pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) 2)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))) 2))
(.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (.f64 (pow.f64 N 4) (+.f64 1 (-.f64 (.f64 N N) N))) (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))
(/.f64 (.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N 1) N)) (-.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 2)))
(.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3))) (+.f64 1 (.f64 (-.f64 N (.f64 N N)) (-.f64 N (+.f64 1 (*.f64 N N))))))
(/.f64 (pow.f64 N 4) (/.f64 (+.f64 1 (pow.f64 (-.f64 N (.f64 N N)) 3)) (fma.f64 (-.f64 N (.f64 N N)) (-.f64 N (fma.f64 N N 1)) 1)))
(.f64 (/.f64 (.f64 N N) 1) (/.f64 (.f64 N N) (+.f64 N (-.f64 1 (.f64 N N)))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(.f64 (/.f64 (.f64 N N) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (.f64 N N) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))) 2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) 1) (/.f64 (cbrt.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (.f64 N N)))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (/.f64 (.f64 (cbrt.f64 (pow.f64 N 4)) 1) (+.f64 N (-.f64 1 (*.f64 N N)))))
(.f64 (cbrt.f64 (pow.f64 N 8)) (/.f64 (cbrt.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (.f64 N N)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (cbrt.f64 (pow.f64 N 4)) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))) (cbrt.f64 (pow.f64 N 4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (cbrt.f64 (pow.f64 N 8)) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N)))) 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (.f64 N N))))) (/.f64 (cbrt.f64 (pow.f64 N 8)) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) 2)))
(.f64 (/.f64 -1 (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 -1 (sqrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 N 4)) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(neg.f64 (pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) 2))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N)))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N))))))
(.f64 (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 (*.f64 N N)))) 2)))
(/.f64 (/.f64 (neg.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 N (.f64 N N)))))
(pow.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 1)
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (-.f64 1 (.f64 N N))))) 2)
(pow.f64 (.f64 (/.f64 N (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) N) 2)
(pow.f64 (/.f64 (.f64 N N) (sqrt.f64 (+.f64 1 (-.f64 N (.f64 N N))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 3)
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 3) 1/3)
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(pow.f64 (/.f64 (+.f64 N (-.f64 1 (*.f64 N N))) (pow.f64 N 4)) -1)
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(neg.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(sqrt.f64 (/.f64 (pow.f64 N 8) (pow.f64 (+.f64 N (-.f64 1 (*.f64 N N))) 2)))
(sqrt.f64 (/.f64 (pow.f64 N 8) (pow.f64 (+.f64 1 (-.f64 N (*.f64 N N))) 2)))
(fabs.f64 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))) 3))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (+.f64 N (-.f64 1 (*.f64 N N))) 3)))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(exp.f64 (-.f64 (.f64 4 (log.f64 N)) (log1p.f64 (-.f64 N (.f64 N N)))))
(/.f64 (pow.f64 N 4) (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (.f64 (-.f64 (.f64 4 (log.f64 N)) (log1p.f64 (-.f64 N (*.f64 N N)))) 1))
(exp.f64 (-.f64 (.f64 4 (log.f64 N)) (log1p.f64 (-.f64 N (.f64 N N)))))
(/.f64 (pow.f64 N 4) (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))
(/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))
(/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))) 1)
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N))))) 1)
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 2))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 1)
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 2)
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))) 3)
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 3) 1/3)
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 2))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N))))) 3))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(exp.f64 (.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (.f64 N N)))))) 1))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 N (-.f64 1 (*.f64 N N)))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 N (*.f64 N N))
✓	0.4b	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	17.8b	(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
	22.3b	(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))

Compiler

Compiled 76 to 45 computations (40.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

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

0.0ms

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

0.0ms

inf

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

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	352	51
2	5051	51

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1176×	`times-frac`
906×	`fma-def`
848×	`associate-r`
770×	`distribute-lft-in`
662×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1650
1	141	1650
2	563	1530
3	2669	810

Stop Event

1×	node limit

Counts

30 → 24

Calls

Call 1

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

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

localize69.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2)
	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.6b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
✓	16.5b	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)

Compiler

Compiled 58 to 41 computations (29.3% saved)

series67.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	N	@	0	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
20.0ms	N	@	inf	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
17.0ms	N	@	-inf	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
1.0ms	N	@	-inf	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
1.0ms	N	@	inf	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)

rewrite113.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`*-commutative`
718×	`unswap-sqr`
506×	`swap-sqr`
422×	`distribute-lft-in`
412×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	276	73
2	3178	73

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1388×	`times-frac`
1242×	`associate-/r*`
784×	`associate-+r+`
758×	`associate-+l+`
754×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	5783
1	467	5047
2	1144	4719
3	3360	4719

Stop Event

1×	node limit

Counts

133 → 130

Calls

Call 1

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

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

eval890.0ms (10.6%)

Compiler: Compiled 36977 to 23919 computations (35.3% saved)

prune303.0ms (3.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1276	7	1283
Fresh	2	4	6
Picked	0	1	1
Done	6	2	8
Total	1284	14	1298

Error

0.3b

Counts

1298 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	1.0b	(pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) 2)
	26.3b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	26.5b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	22.8b	(atan2.f64 (.f64 (/.f64 (fma.f64 2 N 1) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))) (-.f64 (pow.f64 (+.f64 1 N) 2) N)) (+.f64 (+.f64 N 1) (.f64 N N)))
✓	0.6b	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3))
	25.9b	(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N))))
	51.3b	(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N)))))
	25.8b	(atan2.f64 1 (+.f64 N (*.f64 N N)))
	32.1b	(atan2.f64 1 (+.f64 N 1))
	0.4b	(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
✓	26.3b	(atan2.f64 1 (*.f64 N N))
	32.8b	(atan2.f64 1 1)
	1.5b	(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))

Compiler

Compiled 222 to 165 computations (25.7% saved)

regimes26.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	N
3.0ms	(-.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 401 to 263 computations (34.4% saved)

regimes13.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.6b	3	`N`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	8.057672193334451e-13	1.0389065331735845
20.0ms	-2.6176349573225286	-6.007429527695793e-5

Results

39.0ms

288×

body

256

valid

Compiler

Compiled 300 to 225 computations (25% saved)

regimes12.0ms (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:

11.0ms

Results

Error	Segments	Branch
2.0b	3	`N`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	1.0389065331735845	8.609485728333256
19.0ms	-2.6176349573225286	-6.007429527695793e-5

Results

32.0ms

224×

body

256

valid

Compiler

Compiled 208 to 163 computations (21.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -54.7b remaining (-2497.2%)

Threshold costs -54.7b (-2497.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.2b	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	8.057672193334451e-13	1.0389065331735845
19.0ms	-2.6176349573225286	-6.007429527695793e-5

Results

39.0ms

288×

body

256

valid

Compiler

Compiled 228 to 189 computations (17.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	185
1	44	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (.f64 N N))) (if (<=.f64 N 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 1 (+.f64 N (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (.f64 N N)))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 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 74 to 56 computations (24.3% saved)

soundness69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

946×	`associate-r`
868×	`associate-l`
750×	`associate-/l*`
702×	`distribute-lft-in`
664×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	14274
1	1957	13600

Stop Event

1×	node limit

Compiler

Compiled 46 to 33 computations (28.3% saved)

end44.0ms (0.5%)

Compiler: Compiled 70 to 48 computations (31.4% saved)

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

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

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

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

Details

analyze0.0ms (0%)

sample2.0s (23.4%)

preprocess49.0ms (0.6%)

simplify19.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite127.0ms (1.5%)

simplify124.0ms (1.5%)

eval110.0ms (1.3%)

prune80.0ms (1%)

localize35.0ms (0.4%)

series0.0ms (0%)

rewrite73.0ms (0.9%)

simplify72.0ms (0.9%)

localize51.0ms (0.6%)

series1.0ms (0%)

rewrite97.0ms (1.1%)

simplify145.0ms (1.7%)

eval252.0ms (3%)

prune52.0ms (0.6%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite58.0ms (0.7%)

simplify59.0ms (0.7%)

localize29.0ms (0.3%)

series0.0ms (0%)

rewrite85.0ms (1%)

simplify86.0ms (1%)

localize66.0ms (0.8%)

series2.0ms (0%)

rewrite152.0ms (1.8%)

simplify128.0ms (1.5%)

localize18.0ms (0.2%)

series9.0ms (0.1%)

rewrite82.0ms (1%)

simplify96.0ms (1.1%)

localize19.0ms (0.2%)

series2.0ms (0%)

rewrite71.0ms (0.8%)

simplify94.0ms (1.1%)

eval1.2s (14.3%)

prune357.0ms (4.2%)

localize15.0ms (0.2%)

series5.0ms (0.1%)

rewrite89.0ms (1.1%)

simplify125.0ms (1.5%)

localize4.0ms (0%)

series0.0ms (0%)

rewrite46.0ms (0.5%)

simplify61.0ms (0.7%)

localize24.0ms (0.3%)

series1.0ms (0%)

rewrite84.0ms (1%)

simplify71.0ms (0.8%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite87.0ms (1%)

simplify53.0ms (0.6%)

localize69.0ms (0.8%)

series67.0ms (0.8%)

rewrite113.0ms (1.3%)

simplify92.0ms (1.1%)

eval890.0ms (10.6%)

prune303.0ms (3.6%)

regimes26.0ms (0.3%)

regimes13.0ms (0.1%)

bsearch44.0ms (0.5%)

regimes12.0ms (0.1%)

bsearch35.0ms (0.4%)

regimes10.0ms (0.1%)

bsearch43.0ms (0.5%)

simplify7.0ms (0.1%)

soundness69.0ms (0.8%)

end44.0ms (0.5%)

Profiling

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

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