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)

sample3.0s (34.2%)

Results

1.3s	2121×	body	2048	valid
899.0ms	4570×	body	256	valid
621.0ms	1019×	body	1024	valid
140.0ms	546×	body	512	valid

Bogosity

preprocess19.0ms (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)

simplify68.0ms (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))

eval1.0ms (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

14.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite161.0ms (1.8%)

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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simplify257.0ms (2.9%)

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))

eval197.0ms (2.2%)

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

prune61.0ms (0.7%)

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

0.1b

Counts

213 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.4b	(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
▶	0.1b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
✓	14.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize28.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.1b	(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 32 to 16 computations (50% saved)

series2.0ms (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)))

rewrite109.0ms (1.2%)

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))))))))

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

67 → 61

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite179.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

((#(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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simplify187.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

238 → 302

Calls

Call 1

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

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

eval399.0ms (4.6%)

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

prune122.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	358	5	363
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	360	6	366

Error

0.1b

Counts

366 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
▶	0.4b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
▶	30.0b	(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
▶	0.1b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
✓	14.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 124 to 90 computations (27.4% saved)

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 N (+.f64 1 (*.f64 N N)))
✓	0.1b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite102.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`add-sqr-sqrt`
1878×	`*-un-lft-identity`
1760×	`add-cube-cbrt`
1746×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	173	36
2	2380	36

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate--r+`
1138×	`associate-+l-`
1106×	`associate-+r-`
838×	`distribute-lft-in`
744×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1943
1	351	1901
2	1360	1893
3	5974	1893

Stop Event

1×	node limit

Counts

79 → 79

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

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

localize12.0ms (0.1%)

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

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.1b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
✓	14.1b	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series15.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	N	@	0	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
3.0ms	N	@	inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
3.0ms	N	@	-inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
3.0ms	N	@	inf	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)

rewrite149.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-/r*`
968×	`associate-/l*`
860×	`distribute-lft-in`
844×	`distribute-rgt-in`
756×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	5448
1	377	4206
2	1593	4050
3	4810	4050

Stop Event

1×	node limit

Counts

140 → 98

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
	0.1b	(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)
✓	13.7b	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite122.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 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simplify169.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 90

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.1b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
✓	0.2b	(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
✓	13.7b	(cbrt.f64 (fma.f64 N N (+.f64 1 N)))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series5.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

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

rewrite260.0ms (3%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1765
1	360	1527
2	1277	1519
3	4781	1519

Stop Event

1×	node limit

Counts

79 → 91

Calls

Call 1

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

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

eval271.0ms (3.1%)

Compiler: Compiled 9605 to 6760 computations (29.6% saved)

prune100.0ms (1.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	470	12	482
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	474	14	488

Error

0.1b

Counts

488 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 2)
	28.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
▶	28.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
▶	28.2b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
✓	0.1b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
	27.7b	(atan2.f64 1 (+.f64 N (*.f64 N N)))
▶	29.2b	(atan2.f64 1 (+.f64 N 1))
	27.9b	(atan2.f64 1 (*.f64 N N))
▶	30.0b	(atan2.f64 1 1)
✓	14.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	1.8b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
▶	0.7b	(.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)))
	10.1b	(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))

Compiler

Compiled 326 to 245 computations (24.8% saved)

localize64.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.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))
	0.1b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	13.6b	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
	13.7b	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 91 to 62 computations (31.9% saved)

series344.0ms (3.9%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
93.0ms	N	@	0	(*.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))
75.0ms	N	@	0	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
62.0ms	N	@	-inf	(*.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))
41.0ms	N	@	inf	(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)
39.0ms	N	@	inf	(*.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))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`*-commutative`
750×	`unswap-sqr`
562×	`swap-sqr`
446×	`distribute-lft-in`
438×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	264	54
2	3133	54

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 1 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/4) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/16) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/8)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))))))

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

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-r`
894×	`distribute-lft-in`
882×	`distribute-rgt-in`
812×	`associate-l`
472×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	2990
1	295	2522
2	660	2522
3	3048	2522
4	7423	2522

Stop Event

1×	node limit

Counts

70 → 68

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 1 (*.f64 N N))
✓	0.7b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
✓	14.1b	(cbrt.f64 (atan2.f64 1 (*.f64 N N)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

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

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

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

103 → 51

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (+.f64 1 (-.f64 N N)) (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 N N)) 3)
✓	30.0b	(cbrt.f64 (*.f64 N N))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite128.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`add-sqr-sqrt`
1602×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	262	31
2	2381	31

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

922×	`unswap-sqr`
856×	`associate-+r+`
798×	`associate-+l+`
616×	`cube-prod`
496×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	1288
1	267	968
2	1051	968
3	3421	968

Stop Event

1×	node limit

Counts

76 → 71

Calls

Call 1

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

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

eval187.0ms (2.1%)

Compiler: Compiled 9420 to 6664 computations (29.3% saved)

prune144.0ms (1.6%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	1	6	7
Picked	1	0	1
Done	1	5	6
Total	326	14	340

Error

0.1b

Counts

340 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 2)
	28.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
✓	28.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
	28.2b	(atan2.f64 1 (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
✓	0.1b	(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
	27.7b	(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓	29.2b	(atan2.f64 1 (+.f64 N 1))
	27.9b	(atan2.f64 1 (*.f64 N N))
✓	30.0b	(atan2.f64 1 1)
✓	14.9b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	0.2b	(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))
	1.1b	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)))
	10.1b	(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))

Compiler

Compiled 167 to 126 computations (24.6% saved)

regimes133.0ms (1.5%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

85.0ms	N
5.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.1b	1	`N`
0.1b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 300 to 203 computations (32.3% saved)

regimes26.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.9b	3	`N`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch75.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	1.1459317661925348e-6	114.00248023491311
35.0ms	-30.321353441171762	-0.008051641472447175

Results

69.0ms

272×

body

256

valid

Compiler

Compiled 284 to 213 computations (25% saved)

regimes23.0ms (0.3%)

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:

22.0ms

Results

Error	Segments	Branch
1.1b	3	`N`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch130.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	1.1459317661925348e-6	114.00248023491311
74.0ms	-30.321353441171762	-0.008051641472447175

Results

124.0ms

272×

body

256

valid

Compiler

Compiled 250 to 196 computations (21.6% saved)

regimes27.0ms (0.3%)

Accuracy

Total -54.9b remaining (-3696.4%)

Threshold costs -54.9b (-3696.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
1.5b	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch71.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.1459317661925348e-6	114.00248023491311
33.0ms	-30.321353441171762	-0.008051641472447175

Results

65.0ms

272×

body

256

valid

Compiler

Compiled 216 to 179 computations (17.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	185
1	46	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (.f64 N N)))))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (.f64 N N))))
(atan2.f64 1 1)

Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (.f64 N N)))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -5404319552844595/9007199254740992) (not (<=.f64 N 3715469692580659/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -1) (atan2.f64 1 (.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (.f64 N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 1))
(atan2.f64 1 1)

Compiler

Compiled 74 to 56 computations (24.3% saved)

soundness134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 19 to 14 computations (26.3% saved)

end148.0ms (1.7%)

Compiler: Compiled 70 to 49 computations (30% 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%)

sample3.0s (34.2%)

preprocess19.0ms (0.2%)

simplify68.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize29.0ms (0.3%)

series1.0ms (0%)

rewrite161.0ms (1.8%)

simplify257.0ms (2.9%)

eval197.0ms (2.2%)

prune61.0ms (0.7%)

localize28.0ms (0.3%)

series2.0ms (0%)

rewrite109.0ms (1.2%)

simplify84.0ms (1%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite179.0ms (2%)

simplify187.0ms (2.1%)

eval399.0ms (4.6%)

prune122.0ms (1.4%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite102.0ms (1.2%)

simplify107.0ms (1.2%)

localize12.0ms (0.1%)

localize34.0ms (0.4%)

series15.0ms (0.2%)

rewrite149.0ms (1.7%)

simplify146.0ms (1.7%)

localize20.0ms (0.2%)

series2.0ms (0%)

rewrite122.0ms (1.4%)

simplify169.0ms (1.9%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

rewrite260.0ms (3%)

simplify71.0ms (0.8%)

eval271.0ms (3.1%)

prune100.0ms (1.1%)

localize64.0ms (0.7%)

series344.0ms (3.9%)

rewrite73.0ms (0.8%)

simplify89.0ms (1%)

localize2.0ms (0%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite55.0ms (0.6%)

simplify63.0ms (0.7%)

localize23.0ms (0.3%)

series4.0ms (0%)

rewrite66.0ms (0.8%)

simplify88.0ms (1%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite128.0ms (1.5%)

simplify63.0ms (0.7%)

eval187.0ms (2.1%)

prune144.0ms (1.6%)

regimes133.0ms (1.5%)

regimes26.0ms (0.3%)

bsearch75.0ms (0.9%)

regimes23.0ms (0.3%)

bsearch130.0ms (1.5%)

regimes27.0ms (0.3%)

bsearch71.0ms (0.8%)

simplify12.0ms (0.1%)

soundness134.0ms (1.5%)

end148.0ms (1.7%)

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