Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (31.8%)

Results

922.0ms	2172×	body	2048	valid
685.0ms	4492×	body	256	valid
286.0ms	1076×	body	1024	valid
149.0ms	516×	body	512	valid

Bogosity

preprocess21.0ms (0.3%)

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)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

76.9%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(atan.f64 (+.f64 N 1))
✓	98.2%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs
((+.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 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Outputs

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

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

simplify158.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-*r/`
1096×	`associate-*l/`
928×	`+-commutative`
868×	`associate-+l-`
706×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	8295
1	880	7553
2	4352	7553

Stop Event

1×	node limit

Counts

133 → 212

Calls

Call 1

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

Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
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(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval107.0ms (1.6%)

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

prune28.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	210	3	213

Accurracy

99.1%

Counts

213 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.3%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	99.1%	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	76.9%	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize14.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 N N (+.f64 1 N))
✓	99.1%	(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)))

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs
((-.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

((-.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)))))

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

67 → 61

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
✓	100.0%	(+.f64 (+.f64 N 1) (*.f64 N N))
✓	96.2%	(+.f64 N (-.f64 1 N))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite97.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

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

simplify163.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

238 → 302

Calls

Call 1

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

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

eval275.0ms (4.2%)

Compiler: Compiled 9853 to 6124 computations (37.8% saved)

prune109.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	352	11	363
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	355	11	366

Accurracy

99.2%

Counts

366 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
	62.4%	(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	98.7%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
	55.6%	(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))))))
	98.7%	(atan2.f64 (+.f64 1 (-.f64 N N)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))))
	83.5%	(atan2.f64 (+.f64 1 (-.f64 N N)) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)))
▶	49.2%	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	99.1%	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
	99.1%	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	97.0%	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
	84.1%	(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))

Compiler

Compiled 366 to 258 computations (29.5% saved)

localize15.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 N N (+.f64 N 1))
✓	99.1%	(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))

rewrite57.0ms (0.9%)

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

((-.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)))))

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 60

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize22.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(fma.f64 N N (+.f64 1 N))
✓	99.1%	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	97.8%	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
✓	73.2%	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 39 to 25 computations (35.9% saved)

series57.0ms (0.9%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	N	@	0	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
20.0ms	N	@	inf	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
12.0ms	N	@	-inf	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
0.0ms	N	@	-inf	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
0.0ms	N	@	0	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`add-sqr-sqrt`
1856×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1700×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	207	67
2	2313	67

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-+r+`
970×	`associate-+l+`
748×	`unswap-sqr`
742×	`associate-*r/`
660×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	2119
1	167	2119
2	793	2119
3	3471	2119

Stop Event

1×	node limit

Counts

95 → 47

Calls

Call 1

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

localize18.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(fma.f64 N N (+.f64 1 N))
	99.1%	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	99.1%	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	74.5%	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 90

Calls

Call 1

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

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

localize32.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(fma.f64 N N (+.f64 1 N))
✓	99.7%	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
✓	99.1%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
✓	73.3%	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series3.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite235.0ms (3.6%)

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

((-.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)))

simplify96.0ms (1.5%)

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))

eval276.0ms (4.2%)

Compiler: Compiled 7165 to 4952 computations (30.9% saved)

prune94.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	390	12	402
Fresh	5	1	6
Picked	1	0	1
Done	3	1	4
Total	399	14	413

Accurracy

99.2%

Counts

413 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.1%	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	62.4%	(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
	58.9%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
▶	60.7%	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
✓	99.1%	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
	55.6%	(atan2.f64 1 (/.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))))))
▶	99.1%	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
	50.9%	(atan2.f64 1 (+.f64 N 1))
▶	98.7%	(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))))
	59.2%	(atan2.f64 1 (*.f64 N N))
▶	49.2%	(atan2.f64 1 1)
	98.2%	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
	97.3%	(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
▶	57.3%	(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))

Compiler

Compiled 457 to 330 computations (27.8% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 N N) N)
✓	99.1%	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))

Compiler

Compiled 27 to 10 computations (63% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

86 → 73

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize12.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.1%	(atan2.f64 1 (*.f64 N N))
✓	97.8%	(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
✓	73.7%	(log.f64 (atan2.f64 1 (*.f64 N N)))

Compiler

Compiled 24 to 12 computations (50% saved)

series44.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	N	@	0	(log.f64 (atan2.f64 1 (*.f64 N N)))
17.0ms	N	@	inf	(log.f64 (atan2.f64 1 (*.f64 N N)))
0.0ms	N	@	-inf	(log.f64 (atan2.f64 1 (*.f64 N N)))
0.0ms	N	@	0	(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
0.0ms	N	@	inf	(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`add-sqr-sqrt`
1210×	`*-un-lft-identity`
1140×	`pow1`
1112×	`add-cube-cbrt`
1100×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	158	43
2	1603	43

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

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

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

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-r`
1116×	`associate-l`
696×	`unswap-sqr`
680×	`associate-*r/`
634×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1342
1	151	1342
2	765	1342
3	4739	1342

Stop Event

1×	node limit

Counts

94 → 42

Calls

Call 1

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

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

localize34.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 1 N) 2)
✓	99.1%	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))
✓	77.9%	(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
✓	66.3%	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))

Compiler

Compiled 83 to 51 computations (38.6% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
0.0ms	N	@	0	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
0.0ms	N	@	-inf	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
0.0ms	N	@	inf	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
0.0ms	N	@	-inf	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))))

rewrite110.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`associate-/r/`
1188×	`associate-/l/`
344×	`add-sqr-sqrt`
338×	`*-un-lft-identity`
334×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	142
1	386	74
2	4880	74

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

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

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

simplify133.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1334×	`distribute-lft-in`
1268×	`associate-r`
1066×	`associate-l`
1018×	`associate-/l*`
640×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	636	14748
1	1963	14290

Stop Event

1×	node limit

Counts

292 → 402

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

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

localize30.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
✓	99.7%	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)
✓	99.1%	(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))))
	73.3%	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 65 to 42 computations (35.4% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`*-commutative`
682×	`unswap-sqr`
512×	`swap-sqr`
446×	`distribute-lft-in`
436×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	263	61
2	2796	61

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))))

(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))))

Outputs

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

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

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

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1294×	`fma-def`
1114×	`unswap-sqr`
1092×	`associate--r+`
802×	`*-commutative`
470×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	4281
1	723	3759
2	2498	3537
3	7574	3537

Stop Event

1×	node limit

Counts

131 → 165

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 (*.f64 2/3 N) 1)
(+.f64 (.f64 2/3 N) (+.f64 1 (.f64 5/9 (pow.f64 N 2))))
(+.f64 (.f64 2/3 N) (+.f64 1 (+.f64 (.f64 -14/81 (pow.f64 N 3)) (*.f64 5/9 (pow.f64 N 2)))))
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 (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)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(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)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 1)
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6))
(*.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) (.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2) (.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(.f64 (.f64 (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6)) (.f64 (*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6)) (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6)))
(.f64 (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) (.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6))) (.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) (*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6) (pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1/6))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6))) (*.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6)) (sqrt.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6)) (sqrt.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 4))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))) 1))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) -1)
(+.f64 (+.f64 1 (*.f64 N N)) N)
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (.f64 1 (+.f64 1 (.f64 N N))) N)
(+.f64 (.f64 (+.f64 1 (.f64 N N)) 1) N)
(+.f64 (.f64 (+.f64 N (.f64 N N)) 1) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (-.f64 1 (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 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 (log.f64 (+.f64 2 N)))) 1)
(-.f64 (+.f64 (.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 (.f64 N N) (-.f64 1 N)))
(/.f64 1 (/.f64 (-.f64 (*.f64 N N) (+.f64 1 N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (*.f64 N N) 3))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (pow.f64 N 4) (+.f64 (.f64 N N) (pow.f64 N 3)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) 1) (-.f64 (.f64 N N) (+.f64 1 N)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) 1) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (+.f64 1 N) (*.f64 N N)))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (.f64 N N)) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N))) 1) (-.f64 (+.f64 N (.f64 N N)) 1))
(/.f64 (-.f64 1 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N)))) (-.f64 1 (+.f64 N (.f64 N N))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 N N)) 3) (pow.f64 N 3)) (+.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (-.f64 (.f64 N N) (.f64 (+.f64 1 (*.f64 N N)) N))))
(/.f64 (+.f64 (pow.f64 (+.f64 N (.f64 N N)) 3) 1) (+.f64 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N))) (-.f64 1 (.f64 (+.f64 N (.f64 N N)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (.f64 N N)) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N))) (+.f64 N (*.f64 N N)))))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1)
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 6)
(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))))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))

Outputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 (*.f64 2/3 N) 1)
(fma.f64 2/3 N 1)
(fma.f64 N 2/3 1)
(+.f64 (.f64 2/3 N) (+.f64 1 (.f64 5/9 (pow.f64 N 2))))
(+.f64 (fma.f64 2/3 N 1) (.f64 5/9 (.f64 N N)))
(fma.f64 N 2/3 (fma.f64 5/9 (*.f64 N N) 1))
(fma.f64 N 2/3 (fma.f64 N (*.f64 N 5/9) 1))
(+.f64 (.f64 2/3 N) (+.f64 1 (+.f64 (.f64 -14/81 (pow.f64 N 3)) (*.f64 5/9 (pow.f64 N 2)))))
(+.f64 (fma.f64 2/3 N 1) (fma.f64 -14/81 (pow.f64 N 3) (.f64 5/9 (.f64 N N))))
(+.f64 (fma.f64 N 2/3 1) (fma.f64 5/9 (.f64 N N) (.f64 -14/81 (pow.f64 N 3))))
(fma.f64 N 2/3 (fma.f64 N (*.f64 N 5/9) (fma.f64 -14/81 (pow.f64 N 3) 1)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)
(pow.f64 (exp.f64 2/3) (log1p.f64 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2) 1/6))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)
(pow.f64 (exp.f64 2/3) (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 2/3))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)
(pow.f64 (exp.f64 2/3) (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)
(pow.f64 (exp.f64 2/3) (log1p.f64 (fma.f64 N N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (*.f64 N N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 1 N) (*.f64 N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) -1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 1 (*.f64 N N)) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 1 (+.f64 1 (.f64 N N))) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (+.f64 1 (.f64 N N)) 1) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (.f64 (+.f64 N (.f64 N N)) 1) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (-.f64 1 (*.f64 N N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (/.f64 1 (-.f64 1 N)) (-.f64 (/.f64 (.f64 N N) (-.f64 1 N)) (.f64 N N)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 (-.f64 1 N) N))) (*.f64 N N))
(-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (/.f64 N (/.f64 (-.f64 1 N) N)))
(+.f64 (/.f64 1 (-.f64 1 N)) (*.f64 N (-.f64 N (/.f64 N (-.f64 1 N)))))
(-.f64 (+.f64 (+.f64 2 N) (*.f64 N N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (+.f64 (*.f64 N N) (exp.f64 (log.f64 (+.f64 2 N)))) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (+.f64 (.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 (.f64 N N) (-.f64 1 N)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 (-.f64 1 N) N))) (*.f64 N N))
(-.f64 (fma.f64 N N (/.f64 1 (-.f64 1 N))) (/.f64 N (/.f64 (-.f64 1 N) N)))
(+.f64 (/.f64 1 (-.f64 1 N)) (*.f64 N (-.f64 N (/.f64 N (-.f64 1 N)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 N N) (+.f64 1 N)) (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))))
(/.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 N 4) (pow.f64 (+.f64 1 N) 2)) (fma.f64 N N (-.f64 -1 N)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))) (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (*.f64 N N) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4)))
(/.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 N 4) (pow.f64 (+.f64 1 N) 2)) (fma.f64 N N (-.f64 -1 N)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (pow.f64 N 4) (+.f64 (.f64 N N) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4)))
(/.f64 (.f64 1 (-.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 (*.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 N 4) (pow.f64 (+.f64 1 N) 2)) (fma.f64 N N (-.f64 -1 N)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4)))
(/.f64 (.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) 1) (-.f64 (.f64 N N) (+.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 N 4) (pow.f64 (+.f64 1 N) 2)) (fma.f64 N N (-.f64 -1 N)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) 1) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (+.f64 1 N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (.f64 N N)) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (.f64 (fma.f64 N N (+.f64 1 N)) (+.f64 1 (-.f64 (.f64 N N) N))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 N N (+.f64 1 N)) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (+.f64 1 (fma.f64 N N N)) 1)
(/.f64 (-.f64 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N))) 1) (-.f64 (+.f64 N (.f64 N N)) 1))
(/.f64 (.f64 (fma.f64 N N (+.f64 1 N)) (+.f64 1 (-.f64 (.f64 N N) N))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 N N (+.f64 1 N)) (/.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (+.f64 1 (fma.f64 N N N)) 1)
(/.f64 (-.f64 1 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N)))) (-.f64 1 (+.f64 N (.f64 N N))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))) (fma.f64 N N (+.f64 1 N))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 N N (+.f64 1 N))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 1 (fma.f64 N N N))))) (+.f64 1 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 N N)) 3) (pow.f64 N 3)) (+.f64 (.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N))) (-.f64 (.f64 N N) (.f64 (+.f64 1 (*.f64 N N)) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (.f64 N N)) 3)) (fma.f64 (+.f64 1 (.f64 N N)) (+.f64 1 (.f64 N N)) (.f64 N (-.f64 N (+.f64 1 (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N (-.f64 N (fma.f64 N N 1)) (*.f64 (fma.f64 N N 1) (fma.f64 N N 1))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N (.f64 N N)) 3) 1) (+.f64 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N))) (-.f64 1 (.f64 (+.f64 N (.f64 N N)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (.f64 N N)) 3)) (fma.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N)) (-.f64 1 (+.f64 N (.f64 N N)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 (+.f64 1 N) N -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (.f64 N N)) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N))) (+.f64 N (*.f64 N N)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (.f64 N N)) 3)) (fma.f64 (+.f64 N (.f64 N N)) (+.f64 N (.f64 N N)) (-.f64 1 (+.f64 N (.f64 N N)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 (+.f64 1 N) N -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1) 1))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 6)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))

eval362.0ms (5.5%)

Compiler: Compiled 20791 to 13886 computations (33.2% saved)

prune225.0ms (3.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	745	5	750
Fresh	1	7	8
Picked	1	0	1
Done	4	1	5
Total	751	13	764

Accurracy

99.2%

Counts

764 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.1%	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	62.4%	(atan2.f64 (/.f64 (.f64 (.f64 1 (-.f64 N (-.f64 1 N))) (-.f64 (fma.f64 N N 1) N)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (+.f64 N 1) (*.f64 N N)))
	58.9%	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
	21.3%	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (+.f64 1 N))))
	60.7%	(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (fma.f64 N N (neg.f64 N)) (-.f64 (pow.f64 N 4) (*.f64 N N)))) 1))
	99.1%	(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
	51.4%	(atan2.f64 1 (+.f64 (.f64 (.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
	59.7%	(atan2.f64 1 (+.f64 N (*.f64 N N)))
	50.9%	(atan2.f64 1 (+.f64 N 1))
	59.2%	(atan2.f64 1 (*.f64 N N))
✓	49.2%	(atan2.f64 1 1)
	98.2%	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
	97.3%	(.f64 (.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))

Compiler

Compiled 204 to 146 computations (28.4% saved)

regimes27.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`N`
99.1%	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 459 to 296 computations (35.5% saved)

regimes14.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`N`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch73.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	4.357182172100737e-7	5711302.084431158
21.0ms	-8.147651151427894	-1.318900457952558e-7

Results

69.0ms

304×

body

256

valid

Compiler

Compiled 316 to 237 computations (25% saved)

regimes14.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`N`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch69.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	4.357182172100737e-7	5711302.084431158
21.0ms	-8.147651151427894	-1.318900457952558e-7

Results

65.0ms

304×

body

256

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

regimes11.0ms (0.2%)

Accuracy

Total -55.2b remaining (-3208.5%)

Threshold costs -55.2b (-3208.5%)

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:

10.0ms

Results

Accuracy	Segments	Branch
97.3%	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch47.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	4.357182172100737e-7	5711302.084431158
22.0ms	-8.147651151427894	-1.318900457952558e-7

Results

43.0ms

304×

body

256

valid

Compiler

Compiled 240 to 199 computations (17.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	185
1	47	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (.f64 N N)))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 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 74 to 57 computations (23% saved)

soundness95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-*r/`
1096×	`associate-*l/`
928×	`+-commutative`
868×	`associate-+l-`
706×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	8295
1	880	7553
2	4352	7553

Stop Event

1×	node limit

Compiler

Compiled 90 to 48 computations (46.7% saved)

end85.0ms (1.3%)

Compiler: Compiled 70 to 51 computations (27.1% saved)

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

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

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

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

Details

analyze0.0ms (0%)

sample2.1s (31.8%)

preprocess21.0ms (0.3%)

simplify23.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite76.0ms (1.2%)

simplify158.0ms (2.4%)

eval107.0ms (1.6%)

prune28.0ms (0.4%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (0.9%)

simplify80.0ms (1.2%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite97.0ms (1.5%)

simplify163.0ms (2.5%)

eval275.0ms (4.2%)

prune109.0ms (1.7%)

localize15.0ms (0.2%)

series0.0ms (0%)

rewrite57.0ms (0.9%)

simplify59.0ms (0.9%)

localize6.0ms (0.1%)

localize22.0ms (0.3%)

series57.0ms (0.9%)

rewrite71.0ms (1.1%)

simplify90.0ms (1.4%)

localize18.0ms (0.3%)

series2.0ms (0%)

rewrite96.0ms (1.5%)

simplify79.0ms (1.2%)

localize32.0ms (0.5%)

series3.0ms (0%)

rewrite235.0ms (3.6%)

simplify96.0ms (1.5%)

eval276.0ms (4.2%)

prune94.0ms (1.4%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite90.0ms (1.4%)

simplify87.0ms (1.3%)

localize2.0ms (0%)

localize12.0ms (0.2%)

series44.0ms (0.7%)

rewrite80.0ms (1.2%)

simplify78.0ms (1.2%)

localize34.0ms (0.5%)

series2.0ms (0%)

rewrite110.0ms (1.7%)

simplify133.0ms (2%)

localize30.0ms (0.5%)

series1.0ms (0%)

rewrite74.0ms (1.1%)

simplify112.0ms (1.7%)

eval362.0ms (5.5%)

prune225.0ms (3.4%)

regimes27.0ms (0.4%)

regimes14.0ms (0.2%)

bsearch73.0ms (1.1%)

regimes14.0ms (0.2%)

bsearch69.0ms (1%)

regimes11.0ms (0.2%)

bsearch47.0ms (0.7%)

simplify7.0ms (0.1%)

soundness95.0ms (1.4%)

end85.0ms (1.3%)

Profiling

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

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