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)

sample2.2s (35.8%)

Results

884.0ms	2244×	body	2048	valid
857.0ms	4446×	body	256	valid
254.0ms	1042×	body	1024	valid
155.0ms	524×	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)

simplify48.0ms (0.8%)

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

13.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite77.0ms (1.3%)

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	21
1	194	21
2	2594	21

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

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

Outputs
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Outputs

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

simplify127.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1060×	`associate-+l+`
1056×	`associate-*l/`
1030×	`associate-+r+`
788×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	7738
1	817	7158
2	3722	7134

Stop Event

1×	node limit

Counts

108 → 179

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

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

eval118.0ms (1.9%)

Compiler: Compiled 5250 to 3327 computations (36.6% saved)

prune25.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	177	2	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	3	180

Error

0.4b

Counts

180 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.8b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	13.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 16 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	222	36
2	2215	36

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

67 → 61

Calls

Call 1

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

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

localize33.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	0.0b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	1.7b	(+.f64 N (-.f64 1 N))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`associate-*l/`
1052×	`*-commutative`
702×	`associate-/r*`
530×	`associate-/r/`
372×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	231	61
2	3436	61

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

simplify124.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

238 → 313

Calls

Call 1

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

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

eval183.0ms (3%)

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

prune69.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	363	11	374
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	365	12	377

Error

0.4b

Counts

377 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	1.6b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
	23.6b	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
▶	0.6b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
	26.7b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
▶	26.7b	(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))))
	28.7b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N))))))
▶	32.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	13.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	10.3b	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))

Compiler

Compiled 398 to 276 computations (30.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite58.0ms (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))))))))

simplify59.0ms (1%)

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))

localize7.0ms (0.1%)

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

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 N N) (*.f64 N N))
✓	0.4b	(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))))
✓	14.3b	(-.f64 (.f64 (.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2))
✓	23.0b	(/.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	(.f64 (.f64 N N) (*.f64 N N))

rewrite104.0ms (1.7%)

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

simplify108.0ms (1.8%)

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

localize19.0ms (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)
✓	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	17.2b	(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	@	0	(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)

rewrite83.0ms (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

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

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simplify95.0ms (1.6%)

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

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

localize22.0ms (0.4%)

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 (fma.f64 N N (+.f64 1 N))) 3)
✓	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
✓	17.3b	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series10.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	N	@	0	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
1.0ms	N	@	inf	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
0.0ms	N	@	inf	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))
0.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
0.0ms	N	@	0	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))

rewrite204.0ms (3.4%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

79 → 87

Calls

Call 1

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

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

eval373.0ms (6.2%)

Compiler: Compiled 18328 to 12424 computations (32.2% saved)

prune184.0ms (3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	647	10	657
Fresh	4	2	6
Picked	1	0	1
Done	4	1	5
Total	656	13	669

Error

0.4b

Counts

669 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)
▶	26.7b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	23.6b	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
	26.6b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
▶	52.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (+.f64 1 N))))
	26.7b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))) (-.f64 (*.f64 N N) (+.f64 1 N))))
	31.8b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (.f64 -2 N) 1) (-.f64 (.f64 N N) (+.f64 1 N))))
	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (*.f64 (/.f64 N (-.f64 1 N)) N)))
✓	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
▶	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	31.5b	(atan2.f64 1 (+.f64 N 1))
	26.4b	(atan2.f64 1 (*.f64 N N))
▶	32.3b	(atan2.f64 1 1)

Compiler

Compiled 373 to 266 computations (28.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

30 → 22

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize26.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`add-sqr-sqrt`
1170×	`*-un-lft-identity`
1118×	`pow1`
1090×	`add-cube-cbrt`
1080×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1479	13

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-/r*`
920×	`*-commutative`
688×	`associate-*r/`
616×	`associate-r`
478×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	340
1	82	260
2	381	260
3	1715	260
4	3977	260
5	5914	260

Stop Event

1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 N N) (+.f64 1 N))
✓	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (+.f64 1 N))))
✓	23.0b	(/.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	(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)))

rewrite148.0ms (2.4%)

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

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

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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))))))

simplify132.0ms (2.2%)

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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) 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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) 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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) 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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) 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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) 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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) 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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) 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))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
(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 -1 (-.f64 (*.f64 N N) N))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
(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 -1 (-.f64 (*.f64 N N) N))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
(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 -1 (-.f64 (*.f64 N N) N))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
(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 -1 (-.f64 (*.f64 N N) N))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N)))
-1
(-.f64 (*.f64 -1 N) 1)
(fma.f64 -1 N -1)
(-.f64 -1 N)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(-.f64 (+.f64 (pow.f64 N 2) (*.f64 -1 N)) 1)
(+.f64 -1 (-.f64 (*.f64 N N) N))
(-.f64 (fma.f64 N N -1) N)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))) 1)
(/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N))
(*.f64 (pow.f64 N 4) (/.f64 1 (fma.f64 N N (-.f64 -1 N))))
(/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N))
(.f64 (.f64 N N) (/.f64 (*.f64 N N) (fma.f64 N N (-.f64 -1 N))))
(/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N))
(*.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 N N (-.f64 -1 N))))
(/.f64 (pow.f64 N 4) (-.f64 (fma.f64 N N -1) N))
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(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (fma.f64 N N (+.f64 N 1)))
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(/.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))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(atan2.f64 1 (*.f64 N N))
✓	0.7b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
✓	17.2b	(cbrt.f64 (atan2.f64 1 (*.f64 N N)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite85.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	195	43
2	1928	43

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

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

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

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

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1004×	`sqr-pow`
956×	`distribute-lft-out`
756×	`*-commutative`
652×	`log-prod`
624×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1487
1	197	1487
2	967	1487
3	2400	1487
4	5440	1487

Stop Event

1×	node limit

Counts

103 → 51

Calls

Call 1

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

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

eval279.0ms (4.6%)

Compiler: Compiled 12658 to 8268 computations (34.7% saved)

prune91.0ms (1.5%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	508	2	510
Fresh	1	6	7
Picked	0	1	1
Done	1	4	5
Total	510	13	523

Error

0.4b

Counts

523 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)
✓	26.7b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	23.6b	(atan2.f64 (/.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N))) (+.f64 (+.f64 N 1) (.f64 N N)))
	26.6b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
	31.8b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (.f64 -2 N) 1) (-.f64 (.f64 N N) (+.f64 1 N))))
	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (*.f64 (/.f64 N (-.f64 1 N)) N)))
	52.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (*.f64 (pow.f64 N 4) (/.f64 1 (fma.f64 N N (-.f64 -1 N)))))
✓	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
	52.3b	(atan2.f64 1 (/.f64 (pow.f64 N 4) (+.f64 -1 (-.f64 (*.f64 N N) N))))
✓	0.4b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	31.5b	(atan2.f64 1 (+.f64 N 1))
	26.4b	(atan2.f64 1 (*.f64 N N))
✓	32.3b	(atan2.f64 1 1)

Compiler

Compiled 178 to 126 computations (29.2% saved)

regimes23.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

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

Compiler

Compiled 387 to 241 computations (37.7% saved)

regimes10.0ms (0.2%)

Counts

8 → 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 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (.f64 -2 N) 1) (-.f64 (.f64 N N) (+.f64 1 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

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

Calls

2 calls:

6.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

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

Compiler

Compiled 79 to 51 computations (35.4% saved)

regimes11.0ms (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:

10.0ms

Results

Error	Segments	Branch
1.4b	3	`N`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch42.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	3.2427407851718564e-11	39098.11293338271
18.0ms	-202.52417423230503	-0.02849807215893078

Results

38.0ms

288×

body

256

valid

Compiler

Compiled 264 to 207 computations (21.6% saved)

regimes10.0ms (0.2%)

Accuracy

Total -54.9b remaining (-2914.5%)

Threshold costs -54.9b (-2914.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.9b	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch43.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	3.2427407851718564e-11	39098.11293338271
18.0ms	-202.52417423230503	-0.02849807215893078

Results

39.0ms

288×

body

256

valid

Compiler

Compiled 228 to 189 computations (17.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
1	41	149

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(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 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(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 61 to 46 computations (24.6% saved)

soundness72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1060×	`associate-+l+`
1056×	`associate-*l/`
1030×	`associate-+r+`
788×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	7738
1	817	7158
2	3722	7134

Stop Event

1×	node limit

Compiler

Compiled 90 to 48 computations (46.7% saved)

end45.0ms (0.7%)

Compiler: Compiled 57 to 40 computations (29.8% 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%)

sample2.2s (35.8%)

preprocess11.0ms (0.2%)

simplify48.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series0.0ms (0%)

rewrite77.0ms (1.3%)

simplify127.0ms (2.1%)

eval118.0ms (1.9%)

prune25.0ms (0.4%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite65.0ms (1.1%)

simplify64.0ms (1.1%)

localize33.0ms (0.6%)

series1.0ms (0%)

rewrite96.0ms (1.6%)

simplify124.0ms (2.1%)

eval183.0ms (3%)

prune69.0ms (1.1%)

localize9.0ms (0.2%)

series0.0ms (0%)

rewrite58.0ms (1%)

simplify59.0ms (1%)

localize7.0ms (0.1%)

localize28.0ms (0.5%)

series2.0ms (0%)

rewrite104.0ms (1.7%)

simplify108.0ms (1.8%)

localize19.0ms (0.3%)

series7.0ms (0.1%)

rewrite83.0ms (1.4%)

simplify95.0ms (1.6%)

localize22.0ms (0.4%)

series10.0ms (0.2%)

rewrite204.0ms (3.4%)

simplify69.0ms (1.1%)

eval373.0ms (6.2%)

prune184.0ms (3%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite58.0ms (1%)

simplify57.0ms (0.9%)

localize2.0ms (0%)

localize26.0ms (0.4%)

series0.0ms (0%)

rewrite52.0ms (0.9%)

simplify60.0ms (1%)

localize22.0ms (0.4%)

series1.0ms (0%)

rewrite148.0ms (2.4%)

simplify132.0ms (2.2%)

localize13.0ms (0.2%)

series4.0ms (0.1%)

rewrite85.0ms (1.4%)

simplify78.0ms (1.3%)

eval279.0ms (4.6%)

prune91.0ms (1.5%)

regimes23.0ms (0.4%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

bsearch42.0ms (0.7%)

regimes10.0ms (0.2%)

bsearch43.0ms (0.7%)

simplify6.0ms (0.1%)

soundness72.0ms (1.2%)

end45.0ms (0.7%)

Profiling

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

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