Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.0s (32.2%)

Results

999.0ms	2200×	body	2048	valid
533.0ms	4506×	body	256	valid
378.0ms	1048×	body	1024	valid
99.0ms	502×	body	512	valid

Bogosity

preprocess10.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs
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Outputs

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simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

133 → 212

Calls

Call 1

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

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

eval139.0ms (2.2%)

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

prune48.0ms (0.8%)

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

Error

0.3b

Counts

213 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.5b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	14.1b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.3b	(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)))

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (0.9%)

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 error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (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))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(+.f64 (+.f64 N 1) (*.f64 N N))

Outputs

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

simplify164.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

238 → 313

Calls

Call 1

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

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

eval246.0ms (3.9%)

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

prune81.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	365	9	374
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	368	9	377

Error

0.3b

Counts

377 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
	32.5b	(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
	0.6b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
▶	25.8b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
▶	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
	0.6b	(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)))))
▶	33.6b	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	0.3b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
	0.3b	(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))

Compiler

Compiled 280 to 194 computations (30.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 N 1))
✓	0.3b	(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))

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 60

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 N N) N)
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))

Compiler

Compiled 39 to 14 computations (64.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`associate-*r/`
792×	`*-commutative`
746×	`associate-*l/`
674×	`distribute-lft-in`
634×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	239	30
2	2786	30

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 N) (-.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 N N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (fma.f64 N N N) -1)) (+.f64 (/.f64 1 (+.f64 (fma.f64 N N N) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 N 1))) (/.f64 N (/.f64 (*.f64 N (-.f64 N 1)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-*r/`
1334×	`associate-*l/`
1292×	`distribute-lft-in`
868×	`associate-/r/`
840×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	4435
1	876	4045
2	3559	4037

Stop Event

1×	node limit

Counts

141 → 180

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.3b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	17.9b	(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

3 → 36

Calls

9 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))))

rewrite83.0ms (1.3%)

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	67
1	242	67
2	2561	67

Stop Event

1×	node limit

Counts

3 → 102

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

Outputs

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

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

636×	`log-prod`
562×	`associate-/r/`
528×	`*-commutative`
526×	`associate-/l/`
498×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	3682
1	354	3530
2	1178	3512
3	3963	3512

Stop Event

1×	node limit

Counts

138 → 89

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

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

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 N) 2)
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
✓	15.3b	(-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2))
✓	21.9b	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))

Compiler

Compiled 82 to 53 computations (35.4% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
0.0ms	N	@	inf	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
0.0ms	N	@	-inf	(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -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 (fma.f64 N N -1) N)))
0.0ms	N	@	0	(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))

rewrite103.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-/r*`
1734×	`associate-/l*`
376×	`add-sqr-sqrt`
368×	`*-un-lft-identity`
364×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	134
1	416	134
2	4982	134

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-+l-`
1492×	`associate-+r-`
1024×	`+-commutative`
478×	`associate-/l*`
464×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	11231
1	1264	10165
2	6322	10163

Stop Event

1×	node limit

Counts

259 → 315

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

eval466.0ms (7.4%)

Compiler: Compiled 18166 to 12187 computations (32.9% saved)

prune183.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	670	13	683
Fresh	4	0	4
Picked	1	0	1
Done	4	0	4
Total	679	13	692

Error

0.3b

Counts

692 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	25.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
▶	6.9b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) N) (-.f64 N 1)) 1))
▶	4.5b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1)) 1))
	19.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (.f64 N N) (/.f64 (.f64 N (-.f64 N 1)) (-.f64 (*.f64 N N) 1))) 1))
▶	0.6b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N)) 1))
	24.7b	(atan2.f64 1 (fma.f64 N N N))
	0.6b	(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
▶	0.3b	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
	32.7b	(atan2.f64 1 (+.f64 N 1))
	25.0b	(atan2.f64 1 (*.f64 N N))
▶	33.6b	(atan2.f64 1 1)
	0.8b	(.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)))
	28.5b	(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (fma.f64 N N -1) N))) 3))

Compiler

Compiled 388 to 276 computations (28.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 N N) N)
✓	0.3b	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))

Compiler

Compiled 27 to 10 computations (63% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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))

rewrite88.0ms (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	21
1	176	21
2	2419	21

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

832×	`*-commutative`
764×	`associate-r`
602×	`associate-l`
576×	`distribute-lft-in`
530×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	750
1	101	630
2	404	630
3	2164	630
4	5371	630

Stop Event

1×	node limit

Counts

30 → 23

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 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)))))

Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(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)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))

localize2.0ms (0%)

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

localize24.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (.f64 N N) 1) N)
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1)) 1))
✓	4.2b	(/.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1))

Compiler

Compiled 72 to 38 computations (47.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite84.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`associate-/r/`
980×	`distribute-rgt-in`
980×	`associate-/l/`
934×	`distribute-lft-in`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	315	53
2	4101	53

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (+.f64 N 1) N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 N 1) N) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (-.f64 1 N)) (pow.f64 N 3)) (*.f64 (/.f64 -1 (-.f64 1 N)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (-.f64 1 N)) (pow.f64 N 3)) (*.f64 (/.f64 -1 (-.f64 1 N)) (*.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1)) N) (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1)) 1) (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3))) (*.f64 N N)) (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3))) (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3))) (+.f64 N 1)) (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3))) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3))) (fma.f64 N N 1)) (*.f64 (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3))) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 N 1) N) (*.f64 (/.f64 N 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 N 1) 1) (*.f64 (/.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 N 3) (/.f64 -1 (-.f64 1 N))) (*.f64 (neg.f64 N) (/.f64 -1 (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 N 3) (/.f64 -1 (-.f64 1 N))) (*.f64 (*.f64 N -1) (/.f64 -1 (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1))) (*.f64 1 (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1))) (*.f64 N (/.f64 (*.f64 N (fma.f64 N N -1)) (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N N) (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3)))) (*.f64 (+.f64 N 1) (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 N 1) (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3)))) (*.f64 (*.f64 N N) (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 N N 1) (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3)))) (*.f64 N (/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 -1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N (/.f64 N 1)) (*.f64 1 (/.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 N 1)) (*.f64 N (/.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (*.f64 (+.f64 N 1) N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) N) (*.f64 1 (/.f64 N (+.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (+.f64 N 1) N) 2) (+.f64 (*.f64 (+.f64 N 1) N) -1)) (+.f64 (/.f64 1 (+.f64 (*.f64 (+.f64 N 1) N) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (*.f64 (fma.f64 N N -1) (/.f64 -1 (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N -1) (*.f64 N (/.f64 -1 (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N -1) (/.f64 N (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N -1) (*.f64 1 (/.f64 N (+.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N (fma.f64 N N -1)) (/.f64 -1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N (fma.f64 N N -1)) (/.f64 (+.f64 N 1) (fma.f64 N N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N (fma.f64 N N -1)) (/.f64 (+.f64 N (fma.f64 N N 1)) (+.f64 -1 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 N 1) N)) (sqrt.f64 (*.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 N 1) N)) (*.f64 (sqrt.f64 (*.f64 (+.f64 N 1) N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 N (fma.f64 N N -1))) (*.f64 (sqrt.f64 (*.f64 N (fma.f64 N N -1))) (/.f64 -1 (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-+r+`
1058×	`associate-+l+`
752×	`associate-r`
744×	`associate-l`
698×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	5072
1	1160	4708
2	5541	4624

Stop Event

1×	node limit

Counts

194 → 227

Calls

Call 1

Inputs
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))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N N -1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 N (fma.f64 N N -1))))
(exp.f64 (log.f64 (*.f64 N (fma.f64 N N -1))))
(exp.f64 (.f64 (log.f64 (.f64 N (fma.f64 N N -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (fma.f64 N N -1))))

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

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 N (-.f64 (pow.f64 N 3) N))
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) N) (-.f64 N 1)) 1))
✓	4.2b	(/.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) N) (-.f64 N 1))
✓	15.5b	(/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) N)

Compiler

Compiled 88 to 53 computations (39.8% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite107.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`associate-/r/`
1252×	`associate-/l/`
334×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
322×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	130
1	367	130
2	4801	130

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 N (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 N (.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 N 3) N) (.f64 N (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2) (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 N) (.f64 N (-.f64 (pow.f64 N 3) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 N (neg.f64 (-.f64 (pow.f64 N 3) N))) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N N) (-.f64 (pow.f64 N 3) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N 1) (/.f64 (-.f64 (pow.f64 N 3) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 N 3) N) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)) (/.f64 N (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 N)) (.f64 N (neg.f64 (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N (sqrt.f64 N)) (/.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N (pow.f64 (cbrt.f64 N) 2)) (/.f64 (-.f64 (pow.f64 N 3) N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 N 3) N) (pow.f64 (cbrt.f64 N) 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(pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N (neg.f64 N)) (neg.f64 (-.f64 (pow.f64 N 3) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N (/.f64 N 1)) (-.f64 (pow.f64 N 3) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N (/.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N)))) (sqrt.f64 (-.f64 (pow.f64 N 3) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N (/.f64 N (cbrt.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 2)))) (cbrt.f64 (-.f64 (pow.f64 N 3) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 N N)) (-.f64 (pow.f64 N 3) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 N (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))) (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2))) (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 N) (/.f64 N (-.f64 (pow.f64 N 3) N))) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 N (-.f64 (pow.f64 N 3) N))) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) N) (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (.f64 N (-.f64 (pow.f64 N 3) N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 N (-.f64 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(pow.f64 N 3) N) (/.f64 N N))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 N 4) (.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 N 4) (.f64 (neg.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N (neg.f64 N)) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 N) N) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (-.f64 (pow.f64 N 6) (.f64 N N))) (+.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (-.f64 (pow.f64 N 9) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 N 6) (.f64 N N)) N) (+.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) N) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 N) (-.f64 (pow.f64 N 3) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 N (-.f64 (pow.f64 N 3) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 N 3) (pow.f64 (-.f64 (pow.f64 N 3) N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))))))

simplify114.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-r`
1042×	`associate-l`
860×	`associate-+r+`
824×	`associate-/l*`
586×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	471	7635
1	1359	6321
2	7572	6321

Stop Event

1×	node limit

Counts

239 → 266

Calls

Call 1

Inputs
(*.f64 -1 N)
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(pow.f64 N 3)
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(pow.f64 N 3)
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
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))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(*.f64 -1 (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)))) 1)
(.f64 N (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 N)))
(.f64 N (.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) N)))
(.f64 (-.f64 (pow.f64 N 3) N) (.f64 N (/.f64 1 N)))
(*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))
(.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (/.f64 1 N))
(.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 1)
(.f64 1 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)))
(.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 N)))
(.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2) (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (/.f64 1 N)))
(.f64 (/.f64 1 N) (.f64 N (-.f64 (pow.f64 N 3) N)))
(.f64 (.f64 N (neg.f64 (-.f64 (pow.f64 N 3) N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 N N) (-.f64 (pow.f64 N 3) N))
(*.f64 (/.f64 N 1) (/.f64 (-.f64 (pow.f64 N 3) N) N))
(.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (sqrt.f64 N)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) N) N) N)
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)) (/.f64 N (sqrt.f64 N)))
(.f64 (.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) N)) N)
(.f64 (/.f64 1 (neg.f64 N)) (.f64 N (neg.f64 (-.f64 (pow.f64 N 3) N))))
(*.f64 (/.f64 N (sqrt.f64 N)) (/.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)))
(*.f64 (/.f64 N (pow.f64 (cbrt.f64 N) 2)) (/.f64 (-.f64 (pow.f64 N 3) N) (cbrt.f64 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 N (cbrt.f64 N)))
(.f64 (/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 1) (/.f64 (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) N))
(.f64 (/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) N) (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) (cbrt.f64 N)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) 1) (/.f64 (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) (sqrt.f64 N)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(*.f64 (/.f64 N (neg.f64 N)) (neg.f64 (-.f64 (pow.f64 N 3) N)))
(*.f64 (/.f64 N (/.f64 N 1)) (-.f64 (pow.f64 N 3) N))
(*.f64 (/.f64 N (/.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N)))) (sqrt.f64 (-.f64 (pow.f64 N 3) N)))
(*.f64 (/.f64 N (/.f64 N (cbrt.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 2)))) (cbrt.f64 (-.f64 (pow.f64 N 3) N)))
(*.f64 (/.f64 1 (/.f64 N N)) (-.f64 (pow.f64 N 3) N))
(.f64 (/.f64 1 (/.f64 N (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))) (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2))) (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(*.f64 (/.f64 (sqrt.f64 N) (/.f64 N (-.f64 (pow.f64 N 3) N))) (sqrt.f64 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 N (-.f64 (pow.f64 N 3) N))) (cbrt.f64 N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) N) (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(pow.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 3) 1/3)
(pow.f64 (/.f64 N (*.f64 N (-.f64 (pow.f64 N 3) N))) -1)
(neg.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) (neg.f64 N)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(+.f64 1 (+.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) -1))
(+.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) 0)
(-.f64 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 2)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) 2) (+.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) -1)) (+.f64 (/.f64 1 (+.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) -1)) 1))
(.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (*.f64 (/.f64 1 N) (/.f64 1 (+.f64 N -1))))
(.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (/.f64 1 (*.f64 N (+.f64 N -1))))
(.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) (/.f64 1 (+.f64 N -1)))
(.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) (/.f64 (+.f64 N 1) (fma.f64 N N -1)))
(.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) (/.f64 (fma.f64 N N (+.f64 N 1)) (+.f64 (pow.f64 N 3) -1)))
(.f64 1 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))
(.f64 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) (sqrt.f64 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))
(.f64 (sqrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) (.f64 (sqrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 1))
(.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (/.f64 1 (+.f64 N -1))))
(.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (+.f64 N -1)))
(.f64 (cbrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) (pow.f64 (cbrt.f64 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 2) (cbrt.f64 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 2) (.f64 (cbrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 1))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2) (.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (/.f64 1 (+.f64 N -1))))
(.f64 (/.f64 1 (+.f64 N -1)) (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)))
(.f64 (.f64 (/.f64 (neg.f64 N) N) (-.f64 (pow.f64 N 3) N)) (/.f64 1 (-.f64 1 N)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 N -1))) (/.f64 N (.f64 (sqrt.f64 (+.f64 N -1)) (/.f64 N (-.f64 (pow.f64 N 3) N)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N -1)) 2)) (/.f64 (-.f64 (pow.f64 N 3) N) (.f64 (cbrt.f64 (+.f64 N -1)) (/.f64 N N))))
(.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (+.f64 N -1)) (/.f64 1 N))
(.f64 (/.f64 1 (fma.f64 N N -1)) (.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) (+.f64 N 1)))
(.f64 (/.f64 1 (+.f64 (pow.f64 N 3) -1)) (.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) (fma.f64 N N (+.f64 N 1))))
(.f64 (/.f64 N (.f64 (fma.f64 N N -1) (/.f64 N (-.f64 (pow.f64 N 3) N)))) (+.f64 N 1))
(.f64 (/.f64 N (.f64 (+.f64 (pow.f64 N 3) -1) (/.f64 N (-.f64 (pow.f64 N 3) N)))) (fma.f64 N N (+.f64 N 1)))
(.f64 (/.f64 N (.f64 (+.f64 (pow.f64 N 3) -1) (/.f64 N (-.f64 (pow.f64 N 3) N)))) (+.f64 (.f64 N N) (-.f64 1 (.f64 N -1))))
(.f64 (/.f64 1 (.f64 N (+.f64 N -1))) (*.f64 N (-.f64 (pow.f64 N 3) N)))
(.f64 (/.f64 1 (-.f64 1 N)) (.f64 (/.f64 (neg.f64 N) N) (-.f64 (pow.f64 N 3) N)))
(*.f64 (/.f64 N (+.f64 N -1)) (/.f64 (-.f64 (pow.f64 N 3) N) N))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) (/.f64 N N))
(.f64 (/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (+.f64 N -1)) (/.f64 (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (+.f64 N -1)) (/.f64 (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) N))
(.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (sqrt.f64 (+.f64 N -1))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 N -1)) N)))
(.f64 (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (pow.f64 (cbrt.f64 (+.f64 N -1)) 2)) (/.f64 (/.f64 1 N) (cbrt.f64 (+.f64 N -1))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (+.f64 N -1)) (sqrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 N -1)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (cbrt.f64 (+.f64 N -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (+.f64 N -1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2) (sqrt.f64 (+.f64 N -1))) (/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) (sqrt.f64 (+.f64 N -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2) (pow.f64 (cbrt.f64 (+.f64 N -1)) 2)) (cbrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))
(.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (.f64 N (+.f64 N -1))) N)
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) (neg.f64 (fma.f64 N N -1))) (neg.f64 (+.f64 N 1)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)) (neg.f64 (+.f64 (pow.f64 N 3) -1))) (neg.f64 (fma.f64 N N (+.f64 N 1))))
(.f64 (/.f64 1 (/.f64 (+.f64 N -1) (.f64 N (-.f64 (pow.f64 N 3) N)))) (/.f64 1 N))
(.f64 (/.f64 1 (/.f64 (+.f64 N -1) (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(.f64 (/.f64 (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) (.f64 N (+.f64 N -1))) (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))) 2) (+.f64 N -1)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2) (.f64 N (+.f64 N -1))) (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) N) (.f64 N (-.f64 (pow.f64 N 3) N)))
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) 1) (.f64 (-.f64 (pow.f64 N 3) N) (/.f64 N N)))
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (sqrt.f64 N)) (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (sqrt.f64 N)))
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (.f64 N (-.f64 (pow.f64 N 3) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (/.f64 N (-.f64 (pow.f64 N 3) N))) N)
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)) (.f64 N (neg.f64 (-.f64 (pow.f64 N 3) N))))
(*.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (/.f64 N N)) (-.f64 (pow.f64 N 3) N))
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (/.f64 N 1)) (.f64 N (-.f64 (pow.f64 N 3) N)))
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (/.f64 N (sqrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))))) (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (/.f64 1 (+.f64 N -1)) (/.f64 N (pow.f64 (cbrt.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 2))) (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(.f64 (/.f64 (.f64 (/.f64 (neg.f64 N) N) (-.f64 (pow.f64 N 3) N)) (neg.f64 (fma.f64 N N -1))) (+.f64 N 1))
(.f64 (/.f64 (.f64 (/.f64 (neg.f64 N) N) (-.f64 (pow.f64 N 3) N)) (neg.f64 (+.f64 (pow.f64 N 3) -1))) (fma.f64 N N (+.f64 N 1)))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) N) (-.f64 (pow.f64 N 3) N))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) 1) (/.f64 (-.f64 (pow.f64 N 3) N) N))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) (sqrt.f64 N)) (/.f64 (-.f64 (pow.f64 N 3) N) (sqrt.f64 N)))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (-.f64 (pow.f64 N 3) N) (cbrt.f64 N)))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) (neg.f64 N)) (neg.f64 (-.f64 (pow.f64 N 3) N)))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) (/.f64 N 1)) (-.f64 (pow.f64 N 3) N))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) (/.f64 N (sqrt.f64 (-.f64 (pow.f64 N 3) N)))) (sqrt.f64 (-.f64 (pow.f64 N 3) N)))
(.f64 (/.f64 (.f64 N (/.f64 1 (+.f64 N -1))) (/.f64 N (cbrt.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 2)))) (cbrt.f64 (-.f64 (pow.f64 N 3) N)))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 (neg.f64 N) N) (-.f64 (pow.f64 N 3) N)) 1) (neg.f64 (fma.f64 N N -1))) (+.f64 N 1))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 (neg.f64 N) N) (-.f64 (pow.f64 N 3) N)) 1) (neg.f64 (+.f64 (pow.f64 N 3) -1))) (fma.f64 N N (+.f64 N 1)))
(.f64 (/.f64 (/.f64 N (.f64 (sqrt.f64 (+.f64 N -1)) (/.f64 N (-.f64 (pow.f64 N 3) N)))) (sqrt.f64 (+.f64 (pow.f64 N 3) -1))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(.f64 (/.f64 (/.f64 N (.f64 (sqrt.f64 (+.f64 N -1)) (/.f64 N (-.f64 (pow.f64 N 3) N)))) (sqrt.f64 (fma.f64 N N -1))) (sqrt.f64 (+.f64 N 1)))
(.f64 (/.f64 (/.f64 N (.f64 (pow.f64 (cbrt.f64 (+.f64 N -1)) 2) (/.f64 N (-.f64 (pow.f64 N 3) N)))) (cbrt.f64 (+.f64 (pow.f64 N 3) -1))) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(.f64 (/.f64 (/.f64 N (.f64 (pow.f64 (cbrt.f64 (+.f64 N -1)) 2) (/.f64 N (-.f64 (pow.f64 N 3) N)))) (cbrt.f64 (fma.f64 N N -1))) (cbrt.f64 (+.f64 N 1)))
(pow.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 3)
(pow.f64 (*.f64 (/.f64 (+.f64 N -1) N) (/.f64 N (-.f64 (pow.f64 N 3) N))) -1)
(pow.f64 (pow.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) 3) 1/3)
(neg.f64 (/.f64 N (*.f64 (-.f64 1 N) (/.f64 N (-.f64 (pow.f64 N 3) N)))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))
(exp.f64 (log.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))))) 1)
(.f64 1 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))))
(.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 1)
(.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))
(.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N)))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))
(exp.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (*.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (.f64 (/.f64 N (.f64 N (+.f64 N -1))) (-.f64 (pow.f64 N 3) N))))))
(+.f64 (pow.f64 N 4) (*.f64 N (neg.f64 N)))
(+.f64 (pow.f64 N 4) (*.f64 (neg.f64 N) N))
(+.f64 (*.f64 N (neg.f64 N)) (pow.f64 N 4))
(+.f64 (*.f64 (neg.f64 N) N) (pow.f64 N 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))) 1)
(/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 1)
(/.f64 (.f64 N (-.f64 (pow.f64 N 6) (.f64 N N))) (+.f64 N (pow.f64 N 3)))
(/.f64 (*.f64 N (-.f64 (pow.f64 N 9) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))
(/.f64 (.f64 (-.f64 (pow.f64 N 6) (.f64 N N)) N) (+.f64 N (pow.f64 N 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 9) (pow.f64 N 3)) N) (+.f64 (pow.f64 N 6) (fma.f64 N N (pow.f64 N 4))))
(pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 1)
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) 2)
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))) 3)
(pow.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 2))
(log.f64 (pow.f64 (exp.f64 N) (-.f64 (pow.f64 N 3) N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)))))
(cbrt.f64 (pow.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (-.f64 (pow.f64 N 3) N) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 N 3) N) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(exp.f64 (log.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))
(exp.f64 (.f64 (log.f64 (.f64 N (-.f64 (pow.f64 N 3) N))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (-.f64 (pow.f64 N 3) N))))

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

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N))
✓	0.3b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N)) 1))
✓	0.5b	(pow.f64 (cbrt.f64 N) 2)
✓	0.5b	(cbrt.f64 N)

Compiler

Compiled 72 to 41 computations (43.1% saved)

series5.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N))
1.0ms	N	@	0	(.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N))
1.0ms	N	@	0	(cbrt.f64 N)
0.0ms	N	@	-inf	(pow.f64 (cbrt.f64 N) 2)
0.0ms	N	@	-inf	(cbrt.f64 N)

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`associate-*r/`
958×	`associate-*l/`
782×	`distribute-rgt-in`
726×	`distribute-lft-in`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	90
1	340	54
2	3819	54

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N 1/6) (pow.f64 N 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 N (cbrt.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 N N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 N) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 N) (pow.f64 N 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N 1/6) (.f64 (pow.f64 N 1/6) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 N (cbrt.f64 N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 N (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 N N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 N N))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (.f64 N N))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (.f64 (.f64 N N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (.f64 (cbrt.f64 N) (.f64 N (cbrt.f64 (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (.f64 (cbrt.f64 N) (.f64 (.f64 N (cbrt.f64 (.f64 N N))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (.f64 1 (.f64 (cbrt.f64 N) (.f64 N (cbrt.f64 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (.f64 (.f64 (.f64 N (cbrt.f64 (.f64 N N))) 1) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (.f64 (.f64 (cbrt.f64 N) (.f64 N (cbrt.f64 (.f64 N N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (-.f64 (.f64 N N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (.f64 N N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cbrt.f64 N) (.f64 N (cbrt.f64 (.f64 N N)))) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 1 (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 1 (.f64 (cbrt.f64 N) (.f64 N (cbrt.f64 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (+.f64 1 (.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 N (.f64 N N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 N (.f64 N N)) 2) (+.f64 N (-.f64 (.f64 N N) 1))) (+.f64 (/.f64 1 (+.f64 N (-.f64 (.f64 N N) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 N N) (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 N (/.f64 1 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (-.f64 1 (.f64 N N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (-.f64 (.f64 N N) 1)) (-.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (neg.f64 (-.f64 1 (.f64 N N)))) (neg.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 N (neg.f64 (+.f64 1 (pow.f64 N 3)))) (neg.f64 (+.f64 1 (-.f64 (.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) (-.f64 1 (.f64 N N)))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) (+.f64 1 (pow.f64 N 3)))) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 N) (.f64 (-.f64 1 (.f64 N N)) (cbrt.f64 (.f64 N N)))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 N) (.f64 (+.f64 1 (pow.f64 N 3)) (cbrt.f64 (.f64 N N)))) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 N) (-.f64 (.f64 N (cbrt.f64 N)) (.f64 (.f64 N (cbrt.f64 (.f64 N N))) (.f64 N (cbrt.f64 (.f64 N N)))))) (-.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 N) (+.f64 (.f64 N N) (pow.f64 (.f64 N (cbrt.f64 (.f64 N N))) 3))) (-.f64 (+.f64 (.f64 N (cbrt.f64 N)) (.f64 (.f64 N (cbrt.f64 (.f64 N N))) (.f64 N (cbrt.f64 (.f64 N N))))) (.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 N N)) (.f64 (-.f64 1 (.f64 N N)) (cbrt.f64 N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 N N)) (.f64 (+.f64 1 (pow.f64 N 3)) (cbrt.f64 N))) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 N N)) N) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 1 (.f64 N N))) N) (neg.f64 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 N 3))) N) (neg.f64 (+.f64 1 (-.f64 (.f64 N N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cbrt.f64 (.f64 N N)) (-.f64 1 (.f64 N N))) (cbrt.f64 N)) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cbrt.f64 (.f64 N N)) (+.f64 1 (pow.f64 N 3))) (cbrt.f64 N)) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 1 (.f64 N N)) (cbrt.f64 (.f64 N N))) (cbrt.f64 N)) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (cbrt.f64 (.f64 N N))) (cbrt.f64 N)) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 N (cbrt.f64 N)) (.f64 (.f64 N (cbrt.f64 (.f64 N N))) (.f64 N (cbrt.f64 (.f64 N N))))) (cbrt.f64 N)) (-.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 N N) (pow.f64 (.f64 N (cbrt.f64 (.f64 N N))) 3)) (cbrt.f64 N)) (-.f64 (+.f64 (.f64 N (cbrt.f64 N)) (.f64 (.f64 N (cbrt.f64 (.f64 N N))) (.f64 N (cbrt.f64 (.f64 N N))))) (.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 1 (.f64 N N)) (cbrt.f64 N)) (cbrt.f64 (.f64 N N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 1 (pow.f64 N 3)) (cbrt.f64 N)) (cbrt.f64 (.f64 N N))) (+.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 N (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 N (.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 N (.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 N (.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 N (.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 N (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 N (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 N (.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 N (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 N (*.f64 N N))))))))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1910×	`associate-/r*`
1532×	`associate-/l*`
670×	`associate-+l+`
590×	`associate-+r+`
490×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	3424
1	612	3016
2	3016	2948

Stop Event

1×	node limit

Counts

140 → 156

Calls

Call 1

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

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

eval363.0ms (5.8%)

Compiler: Compiled 20189 to 12794 computations (36.6% saved)

prune183.0ms (2.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	851	5	856
Fresh	3	5	8
Picked	1	0	1
Done	2	2	4
Total	857	12	869

Error

0.3b

Counts

869 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	25.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 N (/.f64 1 (+.f64 N 1))) 1))
	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 N (.f64 (fma.f64 N N -1) (/.f64 -1 (-.f64 1 N)))) 1))
	4.5b	(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (neg.f64 (/.f64 N (*.f64 (-.f64 1 N) (/.f64 N (-.f64 (pow.f64 N 3) N))))) 1))
	19.3b	(atan2.f64 1 (+.f64 (/.f64 (.f64 N N) (/.f64 (.f64 N (-.f64 N 1)) (-.f64 (*.f64 N N) 1))) 1))
✓	0.3b	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
	1.5b	(atan2.f64 1 (+.f64 (*.f64 N N) 1))
	32.7b	(atan2.f64 1 (+.f64 N 1))
	25.0b	(atan2.f64 1 (*.f64 N N))
✓	33.6b	(atan2.f64 1 1)
	0.8b	(.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)))
	28.5b	(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (fma.f64 N N -1) N))) 3))

Compiler

Compiled 177 to 129 computations (27.1% saved)

regimes28.0ms (0.4%)

Counts

30 → 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 (*.f64 N N) 1))
(atan2.f64 (+.f64 1 (-.f64 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 1 (-.f64 N N)) (+.f64 (+.f64 (*.f64 N N) N) 1))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 N (/.f64 1 (+.f64 N 1))) 1))
(atan2.f64 1 (+.f64 (/.f64 (.f64 N N) (/.f64 (.f64 N (-.f64 N 1)) (-.f64 (*.f64 N N) 1))) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 N N) 1) N) (-.f64 N 1)) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (.f64 N N) (/.f64 (.f64 N (-.f64 N 1)) (-.f64 (*.f64 N N) 1))) 1))
(atan2.f64 1 (fma.f64 N 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 (.f64 N (.f64 (fma.f64 N N -1) (/.f64 -1 (-.f64 1 N)))) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (/.f64 (/.f64 (*.f64 N (-.f64 (pow.f64 N 3) N)) N) (-.f64 N 1)) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (neg.f64 (/.f64 N (*.f64 (-.f64 1 N) (/.f64 N (-.f64 (pow.f64 N 3) N))))) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (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)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 (+.f64 1 (-.f64 N N)) (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) (cbrt.f64 N)) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (fma.f64 N N -1) N))) 3))
(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)))

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

Calls

2 calls:

14.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.3b	1	`N`
0.3b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 438 to 275 computations (37.2% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.3b	1	`N`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.5b	1	`N`

Compiler

Compiled 30 to 21 computations (30% saved)

regimes11.0ms (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:

10.0ms

Results

Error	Segments	Branch
1.1b	3	`N`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch78.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	7.534286610049184e-10	31.899182958152423
23.0ms	-1.443462036150388	-1.2083374336279935e-6

Results

74.0ms

304×

body

256

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -55.5b remaining (-3677%)

Threshold costs -55.5b (-3677%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.5b	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch73.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	7.534286610049184e-10	31.899182958152423
20.0ms	-1.443462036150388	-1.2083374336279935e-6

Results

69.0ms

304×

body

256

valid

Compiler

Compiled 240 to 199 computations (17.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	172
1	46	172

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 (*.f64 N N) 1))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1823957849085051/1125899906842624) (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 N N) N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 (*.f64 N N) (+.f64 1 N)))
(atan2.f64 1 (+.f64 (*.f64 N N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1823957849085051/1125899906842624) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 1823957849085051/1125899906842624))) (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 70 to 53 computations (24.3% saved)

soundness77.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 90 to 48 computations (46.7% saved)

end47.0ms (0.7%)

Compiler: Compiled 65 to 44 computations (32.3% saved)

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

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

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

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

Details

analyze0.0ms (0%)

sample2.0s (32.2%)

preprocess10.0ms (0.2%)

simplify51.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite78.0ms (1.2%)

simplify108.0ms (1.7%)

eval139.0ms (2.2%)

prune48.0ms (0.8%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite64.0ms (1%)

simplify57.0ms (0.9%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite94.0ms (1.5%)

simplify164.0ms (2.6%)

eval246.0ms (3.9%)

prune81.0ms (1.3%)

localize10.0ms (0.2%)

series0.0ms (0%)

rewrite60.0ms (1%)

simplify60.0ms (1%)

localize6.0ms (0.1%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite75.0ms (1.2%)

simplify76.0ms (1.2%)

localize18.0ms (0.3%)

series2.0ms (0%)

rewrite83.0ms (1.3%)

simplify81.0ms (1.3%)

localize33.0ms (0.5%)

series3.0ms (0%)

rewrite103.0ms (1.6%)

simplify129.0ms (2.1%)

eval466.0ms (7.4%)

prune183.0ms (2.9%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite88.0ms (1.4%)

simplify56.0ms (0.9%)

localize2.0ms (0%)

localize24.0ms (0.4%)

series2.0ms (0%)

rewrite84.0ms (1.3%)

simplify90.0ms (1.4%)

localize38.0ms (0.6%)

series4.0ms (0.1%)

rewrite107.0ms (1.7%)

simplify114.0ms (1.8%)

localize27.0ms (0.4%)

series5.0ms (0.1%)

rewrite78.0ms (1.2%)

simplify66.0ms (1%)

eval363.0ms (5.8%)

prune183.0ms (2.9%)

regimes28.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes11.0ms (0.2%)

bsearch78.0ms (1.2%)

regimes9.0ms (0.1%)

bsearch73.0ms (1.2%)

simplify7.0ms (0.1%)

soundness77.0ms (1.2%)

end47.0ms (0.7%)

Profiling

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

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