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 (30.3%)

Results

901.0ms	2148×	body	2048	valid
550.0ms	4551×	body	256	valid
354.0ms	1041×	body	1024	valid
149.0ms	516×	body	512	valid

Bogosity

preprocess11.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	194	32
2	2594	32

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs
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Outputs

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simplify106.0ms (1.6%)

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))

eval103.0ms (1.6%)

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

prune33.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Error

0.9b

Counts

213 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.9b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
▶	24.8b	(-.f64 (expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
✓	16.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (+.f64 N 1))
✓	0.5b	(log1p.f64 (atan.f64 (+.f64 N 1)))
✓	0.5b	(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
✓	16.9b	(-.f64 (expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series82.0ms (1.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	N	@	0	(log1p.f64 (atan.f64 (+.f64 N 1)))
20.0ms	N	@	inf	(log1p.f64 (atan.f64 (+.f64 N 1)))
13.0ms	N	@	-inf	(log1p.f64 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	0	(-.f64 (expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
0.0ms	N	@	-inf	(-.f64 (expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))

rewrite112.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`*-commutative`
748×	`associate-*r/`
726×	`unswap-sqr`
584×	`associate-*l/`
514×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	228	47
2	2713	47

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

Inputs
(-.f64 (expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(log1p.f64 (atan.f64 (+.f64 N 1)))

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

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

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

simplify128.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1816×	`associate--r+`
834×	`associate--l-`
598×	`fma-def`
548×	`associate-r`
462×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	388	9617
1	1067	9007
2	6204	9007

Stop Event

1×	node limit

Counts

197 → 228

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.9b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 32 to 16 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.9%)

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	36
1	222	36
2	2215	36

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

67 → 61

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	2.4b	(+.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	@	-inf	(+.f64 (+.f64 N 1) (*.f64 N N))

rewrite144.0ms (2.2%)

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

Outputs

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

simplify182.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1188×	`+-commutative`
854×	`associate-+r-`
784×	`associate-+l-`
492×	`distribute-lft-in`
472×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	8462
1	1688	7700
2	6397	7640

Stop Event

1×	node limit

Counts

238 → 302

Calls

Call 1

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

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

eval507.0ms (7.8%)

Compiler: Compiled 16155 to 10383 computations (35.7% saved)

prune187.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	609	11	620
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	613	11	624

Error

0.8b

Counts

624 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	1.5b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	2.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
▶	15.5b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
	15.5b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 N N N)))))
	1.2b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
▶	24.9b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N))))
	1.2b	(atan2.f64 (+.f64 1 (-.f64 N N)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))))
▶	32.2b	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	0.9b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
	0.9b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
	12.4b	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))

Compiler

Compiled 324 to 220 computations (32.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 N 1))
✓	0.9b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))

Compiler

Compiled 20 to 12 computations (40% saved)

series0.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`add-sqr-sqrt`
1542×	`*-un-lft-identity`
1430×	`add-cube-cbrt`
1416×	`add-cbrt-cube`
1402×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	161	36
2	1935	36

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

810×	`associate-+l-`
638×	`associate-+r-`
626×	`unswap-sqr`
550×	`associate-/l*`
486×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	1155
1	234	1035
2	1048	1031
3	3745	1031

Stop Event

1×	node limit

Counts

57 → 60

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize40.0ms (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 (+.f64 N 1) N) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	2.4b	(-.f64 (+.f64 N 1) N)

Compiler

Compiled 34 to 18 computations (47.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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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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simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

162 → 190

Calls

Call 1

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

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 N N) (*.f64 N N))
✓	0.9b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N))))
✓	12.8b	(-.f64 (.f64 (.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2))
✓	21.7b	(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N)))

Compiler

Compiled 98 to 43 computations (56.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite116.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`associate-/r/`
1248×	`associate-/l/`
332×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
324×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	160
1	363	68
2	4829	68

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (+.f64 (.f64 N N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)) (neg.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (fma.f64 N N -1) N))) (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)) (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (fma.f64 N N -1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 N 1))) (-.f64 1 (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 N N))) (-.f64 1 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 N)) (-.f64 (/.f64 (.f64 N N) (-.f64 1 N)) (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 N) (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 N N) (exp.f64 (log1p.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 (.f64 N N) (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 N 1) (exp.f64 (log1p.f64 (.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 N N (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (-.f64 (fma.f64 N N -1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 N N (+.f64 N 1))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 N N (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (neg.f64 (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 (fma.f64 N N -1) N))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (cbrt.f64 (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (fma.f64 N N (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (-.f64 (fma.f64 N N -1) N))) (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (fma.f64 N N -1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (fma.f64 N N -1) N)) (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (cbrt.f64 (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (fma.f64 N N -1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 2) (sqrt.f64 (-.f64 (fma.f64 N N -1) N))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (sqrt.f64 (-.f64 (fma.f64 N N -1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 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simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-r`
1056×	`associate-l`
962×	`associate-/l*`
914×	`distribute-lft-in`
888×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	533	12906
1	1613	12744

Stop Event

1×	node limit

Counts

250 → 334

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

Outputs
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(*.f64 N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(*.f64 N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
-1
(-.f64 (*.f64 -2 N) 1)
(fma.f64 -2 N -1)
(-.f64 (+.f64 (.f64 -2 N) (.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (fma.f64 -2 N (neg.f64 (*.f64 N N))) -1)
(+.f64 (*.f64 N (neg.f64 N)) (fma.f64 -2 N -1))
(-.f64 (+.f64 (.f64 -2 N) (+.f64 (.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))) 1)
(+.f64 (fma.f64 -2 N (fma.f64 -1 (*.f64 N N) (pow.f64 N 4))) -1)
(+.f64 (fma.f64 -1 (*.f64 N N) (pow.f64 N 4)) (fma.f64 -2 N -1))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 -1 (*.f64 N N) (pow.f64 N 4))
(+.f64 (.f64 -2 N) (+.f64 (.f64 -1 (pow.f64 N 2)) (pow.f64 N 4)))
(fma.f64 -2 N (fma.f64 -1 (*.f64 N N) (pow.f64 N 4)))
(-.f64 (+.f64 (.f64 -2 N) (+.f64 (.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))) 1)
(+.f64 (fma.f64 -2 N (fma.f64 -1 (*.f64 N N) (pow.f64 N 4))) -1)
(+.f64 (fma.f64 -1 (*.f64 N N) (pow.f64 N 4)) (fma.f64 -2 N -1))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 -1 (*.f64 N N) (pow.f64 N 4))
(+.f64 (.f64 -2 N) (+.f64 (.f64 -1 (pow.f64 N 2)) (pow.f64 N 4)))
(fma.f64 -2 N (fma.f64 -1 (*.f64 N N) (pow.f64 N 4)))
(-.f64 (+.f64 (.f64 -2 N) (+.f64 (.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))) 1)
(+.f64 (fma.f64 -2 N (fma.f64 -1 (*.f64 N N) (pow.f64 N 4))) -1)
(+.f64 (fma.f64 -1 (*.f64 N N) (pow.f64 N 4)) (fma.f64 -2 N -1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (.f64 -1 N)) 2)) (-.f64 (+.f64 (pow.f64 N 2) (.f64 -1 N)) 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (+.f64 (+.f64 (neg.f64 N) (*.f64 N N)) -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (-.f64 (fma.f64 N N -1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (.f64 -1 N)) 2)) (-.f64 (+.f64 (pow.f64 N 2) (.f64 -1 N)) 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (+.f64 (+.f64 (neg.f64 N) (*.f64 N N)) -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (-.f64 (fma.f64 N N -1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (.f64 -1 N)) 2)) (-.f64 (+.f64 (pow.f64 N 2) (.f64 -1 N)) 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (+.f64 (+.f64 (neg.f64 N) (*.f64 N N)) -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (-.f64 (fma.f64 N N -1) N)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (.f64 -1 N)) 2)) (-.f64 (+.f64 (pow.f64 N 2) (.f64 -1 N)) 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (+.f64 (+.f64 (neg.f64 N) (*.f64 N N)) -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (-.f64 1 (neg.f64 N)) 2)) (-.f64 (fma.f64 N N -1) N)))
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 N 4)
(+.f64 N (+.f64 (*.f64 N N) 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)) (neg.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (fma.f64 N N -1) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)) (/.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (fma.f64 N N -1) N)))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 (*.f64 N N) 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (fma.f64 N N -1) N))) (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)) (/.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (fma.f64 N N -1) N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)) (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (fma.f64 N N -1) N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)) (/.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (fma.f64 N N -1) N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N 1))) (-.f64 1 (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 N))) (-.f64 1 (*.f64 N N)))
(+.f64 (exp.f64 (log1p.f64 (+.f64 1 N))) (fma.f64 N N -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 (+.f64 N 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 (+.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 0 N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1)
(+.f64 N (fma.f64 N N 1))
(-.f64 (/.f64 1 (-.f64 1 N)) (-.f64 (/.f64 (.f64 N N) (-.f64 1 N)) (.f64 N N)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 (-.f64 1 N) N))) (*.f64 N N))
(-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (*.f64 (/.f64 N (-.f64 1 N)) N))
(-.f64 (+.f64 (+.f64 2 N) (*.f64 N N)) 1)
(+.f64 (+.f64 N 2) (-.f64 (*.f64 N N) 1))
(+.f64 (+.f64 N 2) (fma.f64 N N -1))
(-.f64 (+.f64 (*.f64 N N) (exp.f64 (log1p.f64 (+.f64 N 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 N))) (-.f64 1 (*.f64 N N)))
(+.f64 (exp.f64 (log1p.f64 (+.f64 1 N))) (fma.f64 N N -1))
(-.f64 (+.f64 (.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 (.f64 N N) (-.f64 1 N)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 (-.f64 1 N) N))) (*.f64 N N))
(-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (*.f64 (/.f64 N (-.f64 1 N)) N))
(-.f64 (+.f64 (+.f64 N 1) (exp.f64 (log1p.f64 (*.f64 N N)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 (+.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 0 N))
(*.f64 1 (fma.f64 N N (+.f64 N 1)))
(+.f64 N (fma.f64 N N 1))
(*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (-.f64 (fma.f64 N N -1) N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))))
(.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3))))
(*.f64 (sqrt.f64 (fma.f64 N N (+.f64 N 1))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(+.f64 N (fma.f64 N N 1))
(.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (-.f64 (fma.f64 N N -1) N))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))
(+.f64 N (fma.f64 N N 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(+.f64 N (fma.f64 N N 1))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (-.f64 (fma.f64 N N -1) N))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(*.f64 (fma.f64 N N (+.f64 N 1)) 1)
(+.f64 N (fma.f64 N N 1))
(*.f64 (/.f64 1 (-.f64 (fma.f64 N N -1) N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(*.f64 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (neg.f64 (-.f64 (fma.f64 N N -1) N))))
(*.f64 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (/.f64 1 (neg.f64 (-.f64 (fma.f64 N N -1) N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (neg.f64 (-.f64 (fma.f64 N N -1) N))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (fma.f64 N N -1) N))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 (-.f64 (fma.f64 N N -1) N))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (fma.f64 N N -1) N))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (sqrt.f64 (-.f64 (fma.f64 N N -1) N))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (sqrt.f64 (-.f64 (fma.f64 N N -1) N))) (sqrt.f64 (-.f64 (fma.f64 N N -1) N)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (cbrt.f64 (-.f64 (fma.f64 N N -1) N))))
(/.f64 (*.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (cbrt.f64 (-.f64 (fma.f64 N N -1) N)))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (cbrt.f64 (-.f64 (fma.f64 N N -1) N))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (fma.f64 N N (+.f64 N 1)))
(+.f64 N (fma.f64 N N 1))
(.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3))))
(.f64 (/.f64 1 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (fma.f64 N N (+.f64 N 1))))
(+.f64 N (fma.f64 N N 1))
(.f64 (/.f64 1 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (fma.f64 N N -1) N))) (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(*.f64 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (/.f64 1 (neg.f64 (-.f64 (fma.f64 N N -1) N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (neg.f64 (-.f64 (fma.f64 N N -1) N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (fma.f64 N N -1) N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (fma.f64 N N -1) N)) (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (cbrt.f64 (-.f64 (fma.f64 N N -1) N))))
(/.f64 (*.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (cbrt.f64 (-.f64 (fma.f64 N N -1) N)))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (cbrt.f64 (-.f64 (fma.f64 N N -1) N))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (fma.f64 N N -1) N)))
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(/.f64 (-.f64 (pow.f64 (.f64 N N) 4) (.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) (neg.f64 (pow.f64 (+.f64 N 1) 2)))) (-.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 N 1) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)) (-.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 1 N) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 N N) 4) (.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) (neg.f64 (pow.f64 (+.f64 N 1) 2)))) (*.f64 1 (-.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 N 1) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)) (-.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 1 N) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (.f64 N N) 6)) (.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (+.f64 N 1) 6))) (.f64 (+.f64 (pow.f64 (+.f64 N 1) 4) (+.f64 (.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (pow.f64 (.f64 N N) 4))) (+.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (+.f64 N 1) 6))))
(/.f64 (-.f64 (pow.f64 (.f64 N N) 12) (pow.f64 (+.f64 1 N) 12)) (.f64 (+.f64 (pow.f64 (+.f64 1 N) 4) (fma.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2) (pow.f64 (.f64 N N) 4))) (+.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (+.f64 1 N) 6))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (.f64 N N) 4)) (.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4))) (.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (.f64 N N) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 N N) 8) (pow.f64 (+.f64 1 N) 8)) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (+.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)))
(/.f64 (-.f64 (pow.f64 (.f64 N N) 8) (pow.f64 (+.f64 1 N) 8)) (.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (+.f64 (pow.f64 (*.f64 N N) 4) (pow.f64 (+.f64 1 N) 4))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) 3)) (+.f64 (pow.f64 (.f64 N N) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) (neg.f64 (pow.f64 (+.f64 N 1) 2))) (.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 N 1) 2))))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 N) 2)) 3)) (-.f64 (+.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)) (*.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 1 N) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 6) (.f64 -1 (pow.f64 (+.f64 1 N) 6))) (-.f64 (+.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)) (.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 1 N) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) 3)) (.f64 1 (+.f64 (pow.f64 (.f64 N N) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) (neg.f64 (pow.f64 (+.f64 N 1) 2))) (*.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 N 1) 2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 N) 2)) 3)) (-.f64 (+.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)) (*.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 1 N) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 6) (.f64 -1 (pow.f64 (+.f64 1 N) 6))) (-.f64 (+.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)) (.f64 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 1 N) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 N N) 6) 3) (pow.f64 (pow.f64 (+.f64 N 1) 6) 3)) (.f64 (+.f64 (pow.f64 (+.f64 N 1) 4) (+.f64 (.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (pow.f64 (.f64 N N) 4))) (+.f64 (.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (.f64 N N) 6)) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (+.f64 N 1) 6)) (.f64 (pow.f64 (.f64 N N) 6) (pow.f64 (+.f64 N 1) 6))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 N N) 6) 3) (pow.f64 (pow.f64 (+.f64 1 N) 6) 3)) (+.f64 (pow.f64 (+.f64 1 N) 4) (fma.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2) (pow.f64 (.f64 N N) 4)))) (+.f64 (+.f64 (pow.f64 (.f64 N N) 12) (pow.f64 (+.f64 1 N) 12)) (.f64 (pow.f64 (*.f64 N N) 6) (pow.f64 (+.f64 1 N) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 N N) 6) 3) (pow.f64 (pow.f64 (+.f64 1 N) 6) 3)) (+.f64 (pow.f64 (+.f64 1 N) 4) (fma.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2) (pow.f64 (.f64 N N) 4)))) (+.f64 (pow.f64 (.f64 N N) 12) (+.f64 (pow.f64 (+.f64 1 N) 12) (.f64 (pow.f64 (*.f64 N N) 6) (pow.f64 (+.f64 1 N) 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 N N) 4) 3) (pow.f64 (pow.f64 (+.f64 N 1) 4) 3)) (.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 (.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (.f64 N N) 4)) (+.f64 (.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4)) (.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (+.f64 N 1) 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 N N) 4) 3) (pow.f64 (pow.f64 (+.f64 1 N) 4) 3)) (.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (+.f64 (+.f64 (pow.f64 (.f64 N N) 8) (pow.f64 (+.f64 1 N) 8)) (.f64 (pow.f64 (*.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 N N) 4) 3) (pow.f64 (pow.f64 (+.f64 1 N) 4) 3)) (.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (+.f64 (pow.f64 (+.f64 1 N) 8) (+.f64 (.f64 (pow.f64 (.f64 N N) 4) (pow.f64 (+.f64 1 N) 4)) (pow.f64 (*.f64 N N) 8)))))
(pow.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1)
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 2)
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 3)
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(pow.f64 (pow.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 3) 1/3)
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 3))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(exp.f64 (log.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 1))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(fma.f64 N (pow.f64 N 3) (neg.f64 (pow.f64 (+.f64 N 1) 2)))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(fma.f64 (.f64 N N) (.f64 N N) (neg.f64 (pow.f64 (+.f64 N 1) 2)))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(fma.f64 1 (pow.f64 N 4) (neg.f64 (pow.f64 (+.f64 N 1) 2)))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(fma.f64 (pow.f64 (.f64 N (cbrt.f64 N)) 2) (.f64 N (cbrt.f64 N)) (neg.f64 (pow.f64 (+.f64 N 1) 2)))
(+.f64 (pow.f64 (*.f64 N (cbrt.f64 N)) 3) (neg.f64 (pow.f64 (+.f64 1 N) 2)))
(+.f64 (neg.f64 (pow.f64 (+.f64 1 N) 2)) (pow.f64 (*.f64 N (cbrt.f64 N)) 3))
(fma.f64 (pow.f64 N 3) N (neg.f64 (pow.f64 (+.f64 N 1) 2)))
(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 1)
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1)
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1)
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 3)
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/3)
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N 4))) 1)
(pow.f64 N 4)
(pow.f64 N 4)
(pow.f64 (*.f64 N N) 2)
(pow.f64 N 4)
(pow.f64 (pow.f64 N 4) 1)
(pow.f64 N 4)
(pow.f64 (*.f64 N (cbrt.f64 N)) 3)
(pow.f64 (pow.f64 (*.f64 N N) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 N N) 6))
(sqrt.f64 (pow.f64 (*.f64 N N) 4))
(log.f64 (exp.f64 (pow.f64 N 4)))
(pow.f64 N 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N 4))))
(pow.f64 N 4)
(cbrt.f64 (pow.f64 (*.f64 N N) 6))
(expm1.f64 (log1p.f64 (pow.f64 N 4)))
(pow.f64 N 4)
(exp.f64 (log.f64 (pow.f64 N 4)))
(pow.f64 N 4)
(exp.f64 (.f64 (log.f64 (.f64 N N)) 2))
(pow.f64 N 4)
(exp.f64 (*.f64 (log.f64 (pow.f64 N 4)) 1))
(pow.f64 N 4)
(log1p.f64 (expm1.f64 (pow.f64 N 4)))
(pow.f64 N 4)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
✓	0.9b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	14.7b	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1.4%)

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

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

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

140 → 98

Calls

Call 1

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

Outputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
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(*.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)))

eval472.0ms (7.3%)

Compiler: Compiled 25717 to 16860 computations (34.4% saved)

prune181.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	847	10	857
Fresh	6	0	6
Picked	1	0	1
Done	3	1	4
Total	857	11	868

Error

0.8b

Counts

868 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)
	26.9b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	15.5b	(atan2.f64 (-.f64 (+.f64 N 1) N) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 N N N)))))
▶	50.2b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (+.f64 1 N))))
	20.9b	(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)))
✓	0.9b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
▶	0.9b	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
▶	31.4b	(atan2.f64 1 (+.f64 N 1))
	1.2b	(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))))
	26.6b	(atan2.f64 1 (*.f64 N N))
▶	32.2b	(atan2.f64 1 1)

Compiler

Compiled 275 to 200 computations (27.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 N N) N)
✓	0.9b	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))

Compiler

Compiled 27 to 10 computations (63% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1742×	`add-cube-cbrt`
1730×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	176	30
2	2419	30

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-+l+`
804×	`associate-*r/`
648×	`associate-/r/`
628×	`unswap-sqr`
586×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	143	1734
1	316	1590
2	1194	1590
3	4587	1590

Stop Event

1×	node limit

Counts

86 → 73

Calls

Call 1

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

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

localize2.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 N N) (+.f64 1 N))
✓	0.9b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (+.f64 1 N))))
✓	21.7b	(/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (+.f64 1 N)))

Compiler

Compiled 56 to 29 computations (48.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1156×	`associate-/r*`
1090×	`*-commutative`
1052×	`associate-*l/`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	311	75
2	3739	75

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

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

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1268×	`+-commutative`
1156×	`associate-+l-`
1002×	`associate-/r/`
996×	`associate-+r-`
636×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	8638
1	1075	8060
2	4851	7878

Stop Event

1×	node limit

Counts

198 → 272

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 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)))
-1
(-.f64 (*.f64 -1 N) 1)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) 1)
(*.f64 (pow.f64 N 4) (/.f64 1 (fma.f64 N N (-.f64 -1 N))))
(.f64 (.f64 N N) (/.f64 (*.f64 N N) (fma.f64 N N (-.f64 -1 N))))
(*.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))
(*.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))) 1)
(.f64 (/.f64 (.f64 N N) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) (/.f64 (*.f64 N N) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (cbrt.f64 (pow.f64 N 8)) (/.f64 (cbrt.f64 (pow.f64 N 4)) (fma.f64 N N (-.f64 -1 N))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) (/.f64 (cbrt.f64 (pow.f64 N 8)) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 2) (cbrt.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (fma.f64 N N (+.f64 N 1)) (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(*.f64 (/.f64 1 (fma.f64 N N (-.f64 -1 N))) (pow.f64 N 4))
(.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))) (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))))
(*.f64 (neg.f64 (pow.f64 N 4)) (/.f64 -1 (fma.f64 N N (-.f64 -1 N))))
(.f64 (/.f64 (.f64 N N) (fma.f64 N N (-.f64 -1 N))) (*.f64 N N))
(.f64 (/.f64 (.f64 N N) (fma.f64 N N (-.f64 -1 N))) (/.f64 (*.f64 N N) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 4)) (fma.f64 N N (-.f64 -1 N))) (cbrt.f64 (pow.f64 N 8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 4)) (fma.f64 N N (-.f64 -1 N))) (/.f64 (cbrt.f64 (pow.f64 N 8)) 1))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) (/.f64 (pow.f64 N 4) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)) (/.f64 (pow.f64 N 4) (cbrt.f64 (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (/.f64 (pow.f64 N 4) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) (/.f64 1 (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (/.f64 (pow.f64 N 4) (cbrt.f64 (fma.f64 N N (-.f64 -1 N)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)))
(*.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (fma.f64 N N (+.f64 N 1)))
(.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(*.f64 (/.f64 -1 (fma.f64 N N (-.f64 -1 N))) (neg.f64 (pow.f64 N 4)))
(.f64 (/.f64 (.f64 N N) 1) (/.f64 (*.f64 N N) (fma.f64 N N (-.f64 -1 N))))
(.f64 (/.f64 (.f64 N N) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)) (/.f64 (*.f64 N N) (cbrt.f64 (fma.f64 N N (-.f64 -1 N)))))
(.f64 (/.f64 (.f64 N N) (cbrt.f64 (fma.f64 N N (-.f64 -1 N)))) (/.f64 (*.f64 N N) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) 1) (/.f64 (cbrt.f64 (pow.f64 N 4)) (fma.f64 N N (-.f64 -1 N))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) (/.f64 (cbrt.f64 (pow.f64 N 4)) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 4)) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) (/.f64 (cbrt.f64 (pow.f64 N 8)) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 8)) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)) (cbrt.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))
(pow.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))) 1)
(pow.f64 (/.f64 (*.f64 N N) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 N N (-.f64 -1 N)) (pow.f64 N 4)) -1)
(neg.f64 (/.f64 (pow.f64 N 4) (neg.f64 (fma.f64 N N (-.f64 -1 N)))))
(sqrt.f64 (/.f64 (pow.f64 N 8) (pow.f64 (fma.f64 N N (-.f64 -1 N)) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))) 1)
(*.f64 1 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))
(*.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) (sqrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) 2) (cbrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))))
(pow.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))))
(exp.f64 (log.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))))
(+.f64 (*.f64 N N) (-.f64 -1 N))
(+.f64 (*.f64 N N) (+.f64 (-.f64 -1 N) (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1))))
(+.f64 (*.f64 N N) (+.f64 (-.f64 -1 N) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1))))
(+.f64 (*.f64 N N) (+.f64 (-.f64 -1 N) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1)))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1)))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1)))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1)) (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1)) (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1)) (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1)) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1)) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1)) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1))))
(+.f64 (fma.f64 N N (-.f64 -1 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1))))
(+.f64 (fma.f64 N N -1) (neg.f64 N))
(+.f64 (fma.f64 N N -1) (+.f64 (neg.f64 N) (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1))))
(+.f64 (fma.f64 N N -1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1))))
(+.f64 (fma.f64 N N -1) (+.f64 (neg.f64 N) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1))))
(+.f64 (-.f64 -1 N) (*.f64 N N))
(+.f64 (-.f64 -1 N) (+.f64 (*.f64 N N) (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1))))
(+.f64 (-.f64 -1 N) (+.f64 (*.f64 N N) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1))))
(+.f64 (-.f64 -1 N) (+.f64 (*.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1))))
(+.f64 (neg.f64 N) (fma.f64 N N -1))
(+.f64 (-.f64 (*.f64 N N) N) -1)
(+.f64 (-.f64 (*.f64 N N) N) (-.f64 (fma.f64 (neg.f64 N) 1 N) 1))
(+.f64 (-.f64 (*.f64 N N) N) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) 1))
(+.f64 (-.f64 (*.f64 N N) N) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) 1))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(+.f64 (fma.f64 (-.f64 -1 N) 1 (+.f64 N 1)) (fma.f64 N N (-.f64 -1 N)))
(+.f64 (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) (+.f64 N 1)) (fma.f64 N N (-.f64 -1 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (+.f64 N 1)) (fma.f64 N N (-.f64 -1 N)))
(+.f64 (-.f64 (*.f64 N N) (exp.f64 (log.f64 (+.f64 2 N)))) 1)
(+.f64 (-.f64 (.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 (.f64 N N) (-.f64 1 N)))
(+.f64 (-.f64 (fma.f64 N N -1) (+.f64 N 1)) 1)
(*.f64 1 (fma.f64 N N (-.f64 -1 N)))
(*.f64 (fma.f64 N N (-.f64 -1 N)) 1)
(*.f64 (sqrt.f64 (fma.f64 N N (-.f64 -1 N))) (sqrt.f64 (fma.f64 N N (-.f64 -1 N))))
(*.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2) (cbrt.f64 (fma.f64 N N (-.f64 -1 N))))
(*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (fma.f64 N N (+.f64 N 1))))
(.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(*.f64 (+.f64 N (hypot.f64 1 (sqrt.f64 N))) (-.f64 N (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (-.f64 N (hypot.f64 1 (sqrt.f64 N))) (+.f64 N (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (/.f64 1 (fma.f64 N N (+.f64 N 1))) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))
(/.f64 1 (/.f64 1 (fma.f64 N N (-.f64 -1 N))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (fma.f64 N N (+.f64 N 1)))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (neg.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (neg.f64 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 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 (fma.f64 N N -1) (fma.f64 N N -1)) (.f64 N N)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (+.f64 (pow.f64 N 6) (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 (fma.f64 N N -1) 3) (pow.f64 N 3)) (+.f64 (.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (+.f64 (.f64 N N) (*.f64 N (fma.f64 N N -1)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))) (neg.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))) (neg.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 N 4) (.f64 (-.f64 -1 N) (-.f64 -1 N)))) (-.f64 (*.f64 N N) (-.f64 -1 N)))
(/.f64 (.f64 1 (-.f64 (.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (*.f64 N N))) (+.f64 N (fma.f64 N N -1)))
(/.f64 (.f64 1 (+.f64 (pow.f64 N 6) (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 1 (-.f64 (pow.f64 (fma.f64 N N -1) 3) (pow.f64 N 3))) (+.f64 (.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (+.f64 (.f64 N N) (.f64 N (fma.f64 N N -1)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 N N (-.f64 -1 N))) (sqrt.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 N N (-.f64 -1 N))) (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2) (cbrt.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2) (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) 1) (neg.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (.f64 (-.f64 (pow.f64 N 4) (.f64 (-.f64 -1 N) (-.f64 -1 N))) 1) (-.f64 (*.f64 N N) (-.f64 -1 N)))
(/.f64 (.f64 (-.f64 (.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (*.f64 N N)) 1) (+.f64 N (fma.f64 N N -1)))
(/.f64 (.f64 (+.f64 (pow.f64 N 6) (pow.f64 (-.f64 -1 N) 3)) 1) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (-.f64 -1 N) (-.f64 -1 N)) (.f64 (.f64 N N) (-.f64 -1 N)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 N N -1) 3) (pow.f64 N 3)) 1) (+.f64 (.f64 (fma.f64 N N -1) (fma.f64 N N -1)) (+.f64 (.f64 N N) (.f64 N (fma.f64 N N -1)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) (sqrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (sqrt.f64 (fma.f64 N N (-.f64 -1 N)))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (.f64 (-.f64 (pow.f64 N 8) (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (fma.f64 N N (+.f64 N 1)))) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (pow.f64 (+.f64 N 1) 2) 3)) (/.f64 1 (fma.f64 N N (+.f64 N 1)))) (+.f64 (+.f64 (pow.f64 N 8) (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 N 4) 3) (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3))) (/.f64 1 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 N 6) 3) (pow.f64 (pow.f64 (+.f64 N 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))) (+.f64 (+.f64 (pow.f64 (pow.f64 N 4) 3) (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3))) (.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (fma.f64 N N (+.f64 N 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) 1) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (sqrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(pow.f64 (fma.f64 N N (-.f64 -1 N)) 1)
(pow.f64 (sqrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)
(pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 3)
(pow.f64 (pow.f64 (fma.f64 N N (-.f64 -1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 N N (-.f64 -1 N)) 2))
(log.f64 (exp.f64 (fma.f64 N N (-.f64 -1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (-.f64 -1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 N N (-.f64 -1 N)) 3))
(expm1.f64 (log.f64 (-.f64 (*.f64 N N) N)))
(exp.f64 (log.f64 (fma.f64 N N (-.f64 -1 N))))
(log1p.f64 (expm1.f64 (fma.f64 N N (-.f64 -1 N))))
(fma.f64 N N (-.f64 -1 N))
(fma.f64 1 (*.f64 N N) (-.f64 -1 N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (-.f64 -1 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) (-.f64 (*.f64 -2 (pow.f64 N 6)) (pow.f64 N 4)))
(+.f64 (pow.f64 N 5) (fma.f64 -2 (pow.f64 N 6) (neg.f64 (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 (pow.f64 N 5) (-.f64 (fma.f64 -2 (pow.f64 N 6) (*.f64 3 (pow.f64 N 7))) (pow.f64 N 4)))
(+.f64 (-.f64 (pow.f64 N 5) (pow.f64 N 4)) (fma.f64 -2 (pow.f64 N 6) (*.f64 3 (pow.f64 N 7))))
(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 (+.f64 N 2) (*.f64 N N))
(+.f64 N (fma.f64 N N 2))
(+.f64 N (+.f64 2 (+.f64 (*.f64 3 (/.f64 1 N)) (pow.f64 N 2))))
(+.f64 (+.f64 N 2) (+.f64 (/.f64 3 N) (*.f64 N N)))
(+.f64 N (+.f64 2 (fma.f64 N N (/.f64 3 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 (+.f64 N 2) (*.f64 N N))
(+.f64 N (fma.f64 N N 2))
(+.f64 N (+.f64 2 (+.f64 (*.f64 3 (/.f64 1 N)) (pow.f64 N 2))))
(+.f64 (+.f64 N 2) (+.f64 (/.f64 3 N) (*.f64 N N)))
(+.f64 N (+.f64 2 (fma.f64 N N (/.f64 3 N))))
(+.f64 N (+.f64 (fma.f64 N N 2) (/.f64 3 N)))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (+.f64 N 1))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
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(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
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(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
(pow.f64 (pow.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N)))) 3) 1/3)
(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
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(sqrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N))) 2))
(fabs.f64 (atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N))))
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(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
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(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
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(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
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(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
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(-.f64 (fma.f64 N N -1) N)
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(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N -1) N)) 2) (cbrt.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))) (cbrt.f64 (fma.f64 (+.f64 N 1) (+.f64 N (fma.f64 N N 1)) (pow.f64 N 4)))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N -1) N)) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N -1) N)) 2) (/.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N -1) N)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 N 8) (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2))) (/.f64 1 (fma.f64 N N (+.f64 N 1)))) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (-.f64 (pow.f64 N 8) (pow.f64 (+.f64 N 1) 4)) (/.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (fma.f64 N N (+.f64 N 1)))))
(/.f64 (-.f64 (pow.f64 N 8) (pow.f64 (+.f64 N 1) 4)) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 N (fma.f64 N N 1))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (pow.f64 (+.f64 N 1) 2) 3)) (/.f64 1 (fma.f64 N N (+.f64 N 1)))) (+.f64 (+.f64 (pow.f64 N 8) (.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (.f64 (/.f64 1 (fma.f64 N N (+.f64 N 1))) (-.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (pow.f64 (+.f64 N 1) 2) 3))) (+.f64 (pow.f64 N 8) (+.f64 (pow.f64 (+.f64 N 1) 4) (.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 12) (pow.f64 (+.f64 N 1) 6)) (+.f64 N (fma.f64 N N 1))) (fma.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2) (+.f64 (pow.f64 N 8) (pow.f64 (+.f64 N 1) 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 N 4) 3) (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3))) (/.f64 1 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (+.f64 N 1) 6)) (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))))
(/.f64 (-.f64 (pow.f64 N 12) (pow.f64 (+.f64 N 1) 6)) (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (+.f64 N (fma.f64 N N 1)) (pow.f64 N 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 N 6) 3) (pow.f64 (pow.f64 (+.f64 N 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))) (+.f64 (+.f64 (pow.f64 (pow.f64 N 4) 3) (.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3))) (.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 6) 3) (pow.f64 (pow.f64 (+.f64 N 1) 3) 3)) (/.f64 (+.f64 (pow.f64 (pow.f64 N 4) 3) (+.f64 (pow.f64 (+.f64 N 1) 6) (.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)))) (/.f64 1 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 6) 3) (pow.f64 (pow.f64 (+.f64 N 1) 3) 3)) (*.f64 (fma.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3) (+.f64 (pow.f64 N 12) (pow.f64 (+.f64 N 1) 6))) (fma.f64 (+.f64 N 1) (+.f64 N (fma.f64 N N 1)) (pow.f64 N 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (fma.f64 N N (+.f64 N 1)))
(*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (fma.f64 N N (+.f64 N 1))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 N (fma.f64 N N 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (fma.f64 N N (+.f64 N 1))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 N (fma.f64 N N 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (fma.f64 N N (+.f64 N 1))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (+.f64 N (fma.f64 N N 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) 1) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(/.f64 (.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) 1) (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (+.f64 N (fma.f64 N N 1)) (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (sqrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) 1) (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (+.f64 N (fma.f64 N N 1)) (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1))))))
(/.f64 (.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) 1) (+.f64 (pow.f64 N 4) (.f64 (+.f64 N 1) (fma.f64 N N (+.f64 N 1)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (+.f64 N (fma.f64 N N 1)) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N (-.f64 -1 N)) 1)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(pow.f64 (sqrt.f64 (fma.f64 N N (-.f64 -1 N))) 2)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(pow.f64 (cbrt.f64 (fma.f64 N N (-.f64 -1 N))) 3)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(pow.f64 (pow.f64 (fma.f64 N N (-.f64 -1 N)) 3) 1/3)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(sqrt.f64 (pow.f64 (fma.f64 N N (-.f64 -1 N)) 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 N N -1) N) 2))
(fabs.f64 (-.f64 (fma.f64 N N -1) N))
(log.f64 (exp.f64 (fma.f64 N N (-.f64 -1 N))))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (-.f64 -1 N)))))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(cbrt.f64 (pow.f64 (fma.f64 N N (-.f64 -1 N)) 3))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(expm1.f64 (log.f64 (-.f64 (*.f64 N N) N)))
(exp.f64 (log.f64 (fma.f64 N N (-.f64 -1 N))))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(log1p.f64 (expm1.f64 (fma.f64 N N (-.f64 -1 N))))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(fma.f64 N N (-.f64 -1 N))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(fma.f64 1 (*.f64 N N) (-.f64 -1 N))
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (-.f64 -1 N))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 N 1))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)
	0.9b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
✓	14.2b	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite108.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1966×	`*-un-lft-identity`
1826×	`add-cube-cbrt`
1810×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	243	46
2	2570	46

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

976×	`+-commutative`
884×	`associate-/l*`
850×	`associate-+r+`
750×	`associate-+l+`
748×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	1434
1	174	1326
2	632	1326
3	2686	1326
4	6619	1326

Stop Event

1×	node limit

Counts

58 → 49

Calls

Call 1

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

eval187.0ms (2.9%)

Compiler: Compiled 10098 to 6618 computations (34.5% saved)

prune78.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	447	7	454
Fresh	1	4	5
Picked	1	0	1
Done	3	2	5
Total	452	13	465

Error

0.8b

Counts

465 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.6b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	1.7b	(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 2)
	26.7b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	26.9b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	15.5b	(atan2.f64 (-.f64 (+.f64 N 1) N) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 N N N)))))
	20.9b	(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)))
	50.2b	(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
	0.9b	(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
	30.9b	(atan2.f64 1 (+.f64 (.f64 (.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
✓	31.4b	(atan2.f64 1 (+.f64 N 1))
	26.6b	(atan2.f64 1 (*.f64 N N))
✓	32.2b	(atan2.f64 1 1)
	1.5b	(.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) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))

Compiler

Compiled 182 to 137 computations (24.7% saved)

regimes30.0ms (0.5%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.9b	1	`N`
0.9b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 428 to 279 computations (34.8% saved)

regimes12.0ms (0.2%)

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.8b	3	`N`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch61.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.003041953294516162	231734810.3539832
20.0ms	-7.848109137066793	-4.53542488980366e-8

Results

57.0ms

304×

body

256

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

regimes10.0ms (0.2%)

Accuracy

Total -54.8b remaining (-2784.4%)

Threshold costs -54.8b (-2784.4%)

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:

10.0ms

Results

Error	Segments	Branch
2.0b	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.003041953294516162	231734810.3539832
21.0ms	-7.848109137066793	-4.53542488980366e-8

Results

41.0ms

304×

body

256

valid

Compiler

Compiled 240 to 199 computations (17.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	128
1	41	128

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 52 to 41 computations (21.2% saved)

soundness91.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1816×	`associate--r+`
834×	`associate--l-`
598×	`fma-def`
548×	`associate-r`
462×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	388	9617
1	1067	9007
2	6204	9007

Stop Event

1×	node limit

Compiler

Compiled 64 to 37 computations (42.2% saved)

end37.0ms (0.6%)

Compiler: Compiled 49 to 37 computations (24.5% 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 (30.3%)

preprocess11.0ms (0.2%)

simplify20.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (1.2%)

simplify106.0ms (1.6%)

eval103.0ms (1.6%)

prune33.0ms (0.5%)

localize18.0ms (0.3%)

series82.0ms (1.3%)

rewrite112.0ms (1.7%)

simplify128.0ms (2%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite56.0ms (0.9%)

simplify85.0ms (1.3%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite144.0ms (2.2%)

simplify182.0ms (2.8%)

eval507.0ms (7.8%)

prune187.0ms (2.9%)

localize12.0ms (0.2%)

series0.0ms (0%)

rewrite63.0ms (1%)

simplify84.0ms (1.3%)

localize6.0ms (0.1%)

localize40.0ms (0.6%)

series0.0ms (0%)

rewrite90.0ms (1.4%)

simplify82.0ms (1.3%)

localize28.0ms (0.4%)

series2.0ms (0%)

rewrite116.0ms (1.8%)

simplify105.0ms (1.6%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

rewrite88.0ms (1.4%)

simplify98.0ms (1.5%)

eval472.0ms (7.3%)

prune181.0ms (2.8%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite65.0ms (1%)

simplify67.0ms (1%)

localize2.0ms (0%)

localize4.0ms (0.1%)

localize20.0ms (0.3%)

series1.0ms (0%)

rewrite87.0ms (1.3%)

simplify108.0ms (1.7%)

localize21.0ms (0.3%)

series2.0ms (0%)

rewrite108.0ms (1.7%)

simplify82.0ms (1.3%)

eval187.0ms (2.9%)

prune78.0ms (1.2%)

regimes30.0ms (0.5%)

regimes12.0ms (0.2%)

bsearch61.0ms (0.9%)

regimes10.0ms (0.2%)

bsearch45.0ms (0.7%)

simplify8.0ms (0.1%)

soundness91.0ms (1.4%)

end37.0ms (0.6%)

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