Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.3s (33.8%)

Results

957.0ms	1978×	body	1024	valid
872.0ms	4943×	body	256	valid
254.0ms	1076×	body	512	valid
144.0ms	259×	body	2048	valid

preprocess17.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	8
2	17	8
3	24	8
4	33	8
5	50	8
6	87	8
7	123	8
8	164	8
9	200	8
10	226	8
11	228	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	8
2	17	8
3	24	8
4	33	8
5	50	8
6	87	8
7	123	8
8	164	8
9	200	8
10	226	8
11	228	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval1.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

26.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.7b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))
✓	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms	N	@	-inf	(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms	N	@	0	(-.f64 (log1p.f64 N) (log.f64 N))

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
541×	`add-log-exp_binary64`
541×	`expm1-log1p-u_binary64`
540×	`log1p-expm1-u_binary64`
529×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	106	8
2	1449	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log1p.f64 N) (log.f64 N))

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

Outputs

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

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
701×	`associate-l_binary64`
458×	`fma-neg_binary64`
425×	`cancel-sign-sub-inv_binary64`
415×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	192
1	95	188
2	237	185
3	643	181
4	2042	181

Stop Event

1×	node limit

Counts

47 → 50

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(fma.f64 N (*.f64 N (fma.f64 N 1/3 -1/2)) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 4))) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 4))) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))

eval12.0ms (0.2%)

Compiler: Compiled 631 to 286 computations (54.7% saved)

prune23.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	40	10	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	11	51

Error

0.0b

Counts

51 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	35.1b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	26.6b	(log.f64 (/.f64 (+.f64 N 1) N))
	28.5b	(-.f64 N (log.f64 N))
	61.8b	(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
▶	33.7b	(/.f64 1 N)
✓	26.7b	(-.f64 (log1p.f64 N) (log.f64 N))
▶	27.5b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
▶	29.2b	(neg.f64 (log.f64 N))
	26.8b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
	27.3b	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
▶	34.6b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))

Compiler

Compiled 216 to 142 computations (34.3% saved)

localize41.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(log.f64 (/.f64 (+.f64 N 1) N))
	0.0b	(/.f64 (+.f64 N 1) N)
✓	0.0b	(/.f64 (+.f64 N 1) N)
✓	2.8b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`pow1_binary64`
635×	`log1p-expm1-u_binary64`
635×	`expm1-log1p-u_binary64`
634×	`add-log-exp_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	127	15
2	1703	15

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)

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

Outputs

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

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
699×	`associate-l_binary64`
458×	`fma-neg_binary64`
425×	`cancel-sign-sub-inv_binary64`
415×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	261
1	97	257
2	239	254
3	647	250
4	2042	250

Stop Event

1×	node limit

Counts

84 → 77

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 (-.f64 N (log.f64 N)) (.f64 -1/2 (.f64 N N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))))
(+.f64 N (-.f64 (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(fma.f64 N (*.f64 N (fma.f64 N 1/3 -1/2)) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize50.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	16.0b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
	0.1b	(/.f64 (/.f64 1/2 N) N)
	0.1b	(/.f64 1/3 (pow.f64 N 3))
	0.0b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	0.0b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	0.1b	(/.f64 1/3 (pow.f64 N 3))
✓	0.1b	(/.f64 (/.f64 1/2 N) N)
✓	16.0b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))

Compiler

Compiled 49 to 35 computations (28.6% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
1.0ms	N	@	inf	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
1.0ms	N	@	0	(/.f64 1/3 (pow.f64 N 3))
1.0ms	N	@	0	(/.f64 (/.f64 1/2 N) N)
0.0ms	N	@	0	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

rewrite124.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
622×	`fma-def_binary64`
383×	`log-div_binary64`
367×	`fma-neg_binary64`
258×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	314	41
2	4677	41

Stop Event

1×	node limit

Counts

4 → 312

Calls

Call 1

Inputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 N -1) (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (/.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (-.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (/.f64 1 (-.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6))) (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (.f64 1/3 (.f64 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (-.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))) (neg.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (neg.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/3 (.f64 N N) (.f64 (pow.f64 N 3) (-.f64 N (.f64 N (/.f64 1/2 N))))) (.f64 (pow.f64 N 3) (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 N N (.f64 (.f64 (pow.f64 N 3) 3) (-.f64 N (.f64 N (/.f64 1/2 N))))) (.f64 (.f64 (pow.f64 N 3) 3) (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (.f64 N N) (.f64 (neg.f64 (pow.f64 N 3)) (-.f64 N (.f64 N (/.f64 1/2 N))))) (.f64 (neg.f64 (pow.f64 N 3)) (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/3 N (.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (.f64 (pow.f64 N 3) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (.f64 (.f64 (pow.f64 N 3) 3) (+.f64 1 (/.f64 -1/2 N)))) (.f64 (.f64 (pow.f64 N 3) 3) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 N (.f64 (neg.f64 (pow.f64 N 3)) (+.f64 1 (/.f64 -1/2 N)))) (.f64 (neg.f64 (pow.f64 N 3)) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/3 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) (.f64 (pow.f64 N 3) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (pow.f64 N 3) (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) (.f64 (.f64 (pow.f64 N 3) 3) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (.f64 (pow.f64 N 3) 3) (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) (.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/3 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (.f64 (pow.f64 N 3) (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)))) (.f64 (pow.f64 N 3) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (.f64 (.f64 (pow.f64 N 3) 3) (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)))) (.f64 (.f64 (pow.f64 N 3) 3) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)))) (.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (pow.f64 N 3) (.f64 (.f64 N N) 1/3)) (.f64 (.f64 N N) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N 3) (.f64 N 1/3)) (.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (pow.f64 N 3) (.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) 1/3)) (.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (pow.f64 N 3) (.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) 1/3)) (.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (.f64 (pow.f64 N 3) 3) (.f64 (.f64 N N) 1)) (.f64 (.f64 N N) (.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (/.f64 -1/2 N)) (.f64 (pow.f64 N 3) 3) N) (.f64 N (.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (.f64 (pow.f64 N 3) 3) (.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) 1)) (.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) (.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (.f64 (pow.f64 N 3) 3) (.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) 1)) (.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (neg.f64 (pow.f64 N 3)) (.f64 (.f64 N N) -1/3)) (.f64 (.f64 N N) (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 (pow.f64 N 3)) (.f64 N -1/3)) (.f64 N (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 (pow.f64 N 3)) (.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) -1/3)) (.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (neg.f64 (pow.f64 N 3)) (.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) -1/3)) (.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) 3) (/.f64 1/8 (pow.f64 N 6))) (fma.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (+.f64 (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2) (.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (neg.f64 (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (exp.f64 (pow.f64 N -1))) (exp.f64 (.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1))) (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (exp.f64 (pow.f64 N -1))) (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 N -3)))) (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 N -3)))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (pow.f64 (exp.f64 1/3) (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 N -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 N -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1))) (exp.f64 (/.f64 (/.f64 -1/2 N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (exp.f64 (pow.f64 N -1))) (exp.f64 (/.f64 (/.f64 -1/2 N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1))) (/.f64 1 (exp.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (exp.f64 (pow.f64 N -1))) (/.f64 1 (exp.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/3 (pow.f64 N -3)) 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 N -1) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 N -1) (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) 1 (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) 1 (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1 (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -1)) (cbrt.f64 (pow.f64 N -2)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -1)) (cbrt.f64 (pow.f64 N -2)) (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N -1)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N -1)) (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 N)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 N)) (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (pow.f64 N -2) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -3) 1/3 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))) (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1))) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (pow.f64 N -1))) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (neg.f64 (-.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (exp.f64 (.f64 1/2 (pow.f64 N -2)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 1/2 (pow.f64 N -2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N -1) (/.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (cbrt.f64 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) (.f64 (cbrt.f64 (/.f64 1/2 N)) (pow.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/2 N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/2 N)) (.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 N) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 1/2 N)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1/2 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (pow.f64 N -1) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -2))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/2 N) (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (pow.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 N (.f64 N 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/2 N) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 N -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 N -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (pow.f64 N -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (pow.f64 N -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (pow.f64 N -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 N 3) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 N -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 N -1) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 N N) (-.f64 N (.f64 N (/.f64 1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 N (.f64 N (/.f64 1/2 N)))) (neg.f64 (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -1 (.f64 N (.f64 N 2))) (.f64 (neg.f64 N) 1)) (.f64 (neg.f64 N) (.f64 N (.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 N N) (.f64 N 1/2)) (pow.f64 N 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -1 (.f64 N N)) (.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 N) (.f64 (neg.f64 N) (/.f64 1/2 N))) (.f64 (neg.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 N) (.f64 N (/.f64 -1/2 N))) (.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -1 (neg.f64 N)) (.f64 (neg.f64 N) (/.f64 -1/2 N))) (.f64 (neg.f64 N) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 -1/2 N)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N -3) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3)) (+.f64 (pow.f64 N -2) (-.f64 (.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 (/.f64 -1/2 N) N)) (.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N -2) (.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 (/.f64 -1/2 N) N))) (-.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1))) (exp.f64 (.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 N -1)) (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1))) (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1))) (exp.f64 (/.f64 (/.f64 -1/2 N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 N -1)) (/.f64 1 (exp.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1))) (/.f64 1 (exp.f64 (.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 (/.f64 -1/2 N) N)) (exp.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (.f64 1/2 (pow.f64 N -2)))) (exp.f64 (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 (/.f64 -1/2 N) N)) (+.f64 1 (expm1.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (.f64 1/2 (pow.f64 N -2)))) (+.f64 1 (expm1.f64 (pow.f64 N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 N -1) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) 1 (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) 1 (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 N) (neg.f64 (pow.f64 N -1)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1 (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1 (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1 (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -1)) (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -1)) (cbrt.f64 (pow.f64 N -2)) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N -1)) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N -1)) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/2) N) (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 1/2 (pow.f64 N -2)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 N)) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 N)) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 N) (pow.f64 N -1) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (pow.f64 N -2) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (pow.f64 N -2) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (pow.f64 N -2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (pow.f64 N -2) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (fma.f64 (.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1)) (pow.f64 N -2))) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (pow.f64 N -1))) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (cbrt.f64 (/.f64 (/.f64 -1/2 N) N))) (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 N) N)) (sqrt.f64 (/.f64 (/.f64 -1/2 N) N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (/.f64 (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (.f64 (/.f64 (/.f64 -1/2 N) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (neg.f64 (pow.f64 N -1)) (/.f64 1/2 N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-neg_binary64`
686×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
471×	`associate-/r/_binary64`
329×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	405
1	56	405
2	105	405
3	224	405
4	573	405
5	2470	393
6	6045	393

Stop Event

1×	node limit

Counts

348 → 325

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 (/.f64 1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))

localize17.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))
	1.1b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
	0.4b	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
✓	0.4b	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
✓	1.1b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	N	@	0	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
2.0ms	N	@	-inf	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
2.0ms	N	@	inf	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
1.0ms	N	@	0	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
0.0ms	N	@	inf	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`pow1_binary64`
782×	`add-log-exp_binary64`
782×	`expm1-log1p-u_binary64`
781×	`log1p-expm1-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	203	19
2	2173	19

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)

Outputs

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

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

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

977×	`times-frac_binary64`
820×	`fma-def_binary64`
509×	`associate-/r*_binary64`
505×	`distribute-rgt-in_binary64`
494×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1130
1	487	1101
2	1892	1029

Stop Event

1×	node limit

Counts

90 → 103

Calls

Call 1

Inputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) N))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))))))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))

Outputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 (.f64 N (.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (.f64 1/3 N) (*.f64 (pow.f64 (log.f64 N) 2) 3))))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (+.f64 (.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))))) (pow.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) 2))) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (fma.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (/.f64 (.f64 N N) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (fma.f64 (log.f64 N) (log.f64 N) (log.f64 N)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) -1/3))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (fma.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 N))) (.f64 -9 (pow.f64 (log.f64 N) 4))) (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (*.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (neg.f64 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1)))))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) (-.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (+.f64 (.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))))) (pow.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) 2))) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 N 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (-.f64 (fma.f64 (log.f64 N) 2 (.f64 1/3 (pow.f64 (log.f64 N) 2))) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1))) (-.f64 1 (fma.f64 1/27 (/.f64 (.f64 27 (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (fma.f64 (log.f64 N) (log.f64 N) (log.f64 N)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) -1/3))) (.f64 2/3 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 (log.f64 N) 5))))))))) (fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (fma.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (/.f64 (.f64 N N) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (fma.f64 (log.f64 N) (log.f64 N) (log.f64 N)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) 3) 2)) -1/3)))))))
(+.f64 (fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (.f64 1/3 N) (.f64 (pow.f64 (log.f64 N) 2) 3)))) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 N))) (.f64 -9 (pow.f64 (log.f64 N) 4))) (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))))) (.f64 (/.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)) (+.f64 (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (.f64 (log.f64 N) (-.f64 2 (fma.f64 (log.f64 N) -2/3 -1)))) (-.f64 1 (fma.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 (log.f64 N) 5))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 N))) (.f64 -9 (pow.f64 (log.f64 N) 4))) (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (.f64 (/.f64 1/27 (pow.f64 (log.f64 N) 2)) (/.f64 (*.f64 27 (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (pow.f64 (cbrt.f64 -1) 2))))))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))) (/.f64 1/4 (pow.f64 N 4)))
(*.f64 -1 (/.f64 (cbrt.f64 -1) N))
(neg.f64 (/.f64 (cbrt.f64 -1) N))
(/.f64 (neg.f64 (cbrt.f64 -1)) N)
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))
(fma.f64 -1/2 (.f64 (/.f64 1 (.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (neg.f64 (/.f64 (cbrt.f64 -1) N)))
(fma.f64 (/.f64 -1/2 (*.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (neg.f64 (cbrt.f64 -1)) N))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1/2 (*.f64 N N)) (/.f64 (neg.f64 (cbrt.f64 -1)) N))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 -1/2 (.f64 (/.f64 1 (.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) N) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))))))
(fma.f64 (/.f64 -1/2 (.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (/.f64 (neg.f64 (cbrt.f64 -1)) N)))
(fma.f64 1/3 (/.f64 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (pow.f64 N 3)) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1/2 (*.f64 N N)) (/.f64 (neg.f64 (cbrt.f64 -1)) N)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/2 (.f64 (/.f64 1 (.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 15/8)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 4))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) N) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3)))))))
(fma.f64 -1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 N N)) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 4))) (fma.f64 1/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (/.f64 (neg.f64 (cbrt.f64 -1)) N))))
(fma.f64 -1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 N N)) (-.f64 (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (pow.f64 N 4)) (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (pow.f64 N 3)))) (/.f64 (cbrt.f64 -1) N)))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))))
(-.f64 (.f64 N (.f64 (pow.f64 (log.f64 N) 2) 3)) (pow.f64 (log.f64 N) 3))
(.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))))
(-.f64 (fma.f64 N (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (fma.f64 (log.f64 N) (log.f64 N) (log.f64 N))))))) (pow.f64 (log.f64 N) 3))
(fma.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 N 3) (log.f64 N))))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (neg.f64 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1)))))) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))))))
(fma.f64 (pow.f64 N 3) (+.f64 1 (-.f64 (fma.f64 (log.f64 N) 2 (.f64 1/3 (pow.f64 (log.f64 N) 2))) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1)))) (-.f64 (fma.f64 N (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (fma.f64 (log.f64 N) (log.f64 N) (log.f64 N))))))) (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 N 3) (+.f64 (.f64 (log.f64 N) (-.f64 2 (fma.f64 (log.f64 N) -2/3 -1))) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) 1)) (fma.f64 N (.f64 N (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1))))) (.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 N 3) (log.f64 N)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 15/8 (pow.f64 N 6))) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 7/4 (pow.f64 N 5))) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 15/8 (pow.f64 N 6))) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 7/4 (pow.f64 N 5))) (+.f64 (/.f64 -3/2 (pow.f64 N 4)) (/.f64 -15/8 (pow.f64 N 6))))

eval442.0ms (6.6%)

Compiler: Compiled 11846 to 8428 computations (28.9% saved)

prune86.0ms (1.3%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	547	8	555
Fresh	3	2	5
Picked	0	1	1
Done	1	4	5
Total	551	15	566

Error

0.0b

Counts

566 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.6b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
	26.7b	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
▶	35.1b	(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
	27.5b	(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) 1/3)
	28.5b	(-.f64 N (log.f64 N))
	27.3b	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
▶	26.6b	(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶	26.8b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
	27.5b	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
✓	26.6b	(log.f64 (/.f64 (+.f64 N 1) N))
✓	33.7b	(/.f64 1 N)
✓	26.7b	(-.f64 (log1p.f64 N) (log.f64 N))
✓	27.5b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
✓	29.2b	(neg.f64 (log.f64 N))
▶	27.9b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)

Compiler

Compiled 365 to 243 computations (33.4% saved)

localize21.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
	0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
	0.0b	(/.f64 (+.f64 N 1) N)
	0.0b	(/.f64 (+.f64 N 1) N)
✓	0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
✓	2.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

Compiler

Compiled 39 to 27 computations (30.8% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
2.0ms	N	@	0	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
1.0ms	N	@	0	(sqrt.f64 (/.f64 (+.f64 N 1) N))
1.0ms	N	@	inf	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
0.0ms	N	@	-inf	(sqrt.f64 (/.f64 (+.f64 N 1) N))

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
704×	`add-log-exp_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	147	20
2	1935	20

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (/.f64 (+.f64 N 1) N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)) (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)))))))

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

747×	`div-sub_binary64`
705×	`times-frac_binary64`
541×	`fma-def_binary64`
482×	`associate-/l/_binary64`
266×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	337
1	201	233
2	639	225
3	2007	225
4	7774	225

Stop Event

1×	node limit

Counts

69 → 83

Calls

Call 1

Inputs
(/.f64 1/2 N)
(-.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 N))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 N 3))) (+.f64 1 (.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))))))

Outputs
(/.f64 1/2 N)
(-.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/2 N) (/.f64 1/4 (*.f64 N N)))
(+.f64 (/.f64 1/2 N) (/.f64 -1/4 (*.f64 N N)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (/.f64 1/4 (*.f64 N N))))
(+.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 1/4 (*.f64 N N))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1/4 (*.f64 N N))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4)))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/8 (pow.f64 N 4)) (/.f64 1/4 (*.f64 N N)))))
(+.f64 (/.f64 1/2 N) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1/4 (*.f64 N N))) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (*.f64 N N))) (/.f64 -1/8 (pow.f64 N 4))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(log.f64 -1)
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (log.f64 -1) (/.f64 -1/2 N))
(+.f64 (/.f64 1/2 N) (log.f64 -1))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (.f64 (*.f64 N N) (pow.f64 (sqrt.f64 -1) 4)))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/4 (*.f64 N N))) (/.f64 -1/2 N))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (*.f64 N N))))
(+.f64 (/.f64 1/2 N) (+.f64 (log.f64 -1) (/.f64 -1/4 (*.f64 N N))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (/.f64 1/4 (.f64 (.f64 N N) (pow.f64 (sqrt.f64 -1) 4))) (/.f64 1/6 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6))))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/4 (.f64 N N)) (/.f64 -1/2 N)) (/.f64 1/6 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))))
(+.f64 (+.f64 (/.f64 1/2 N) (log.f64 -1)) (+.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1/4 (*.f64 N N))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/6 (pow.f64 N 3)) (+.f64 (log.f64 -1) (/.f64 -1/4 (*.f64 N N)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (/.f64 1/2 N))
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 N))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 1/8 (*.f64 N N)))
(+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 -1/8 (*.f64 N N))))
(+.f64 1 (-.f64 (/.f64 1/2 N) (/.f64 1/8 (*.f64 N N))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 N 3))) (+.f64 1 (.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/16 (pow.f64 N 3)) (-.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 1/8 (*.f64 N N))))
(+.f64 (+.f64 1 (/.f64 1/2 N)) (-.f64 (/.f64 1/16 (pow.f64 N 3)) (/.f64 1/8 (*.f64 N N))))
(+.f64 1 (-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/8 (*.f64 N N)) (/.f64 1/16 (pow.f64 N 3)))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/16 (pow.f64 N 3)) (+.f64 1 (/.f64 -1/8 (*.f64 N N)))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 N))
(+.f64 -1 (/.f64 -1/2 N))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (.f64 (.f64 N N) (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (+.f64 -1 (/.f64 -1/2 N)) (/.f64 -1/8 (*.f64 N N)))
(+.f64 -1 (+.f64 (/.f64 -1/2 N) (/.f64 1/8 (*.f64 N N))))
(+.f64 (/.f64 1/8 (*.f64 N N)) (+.f64 -1 (/.f64 -1/2 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (/.f64 1/8 (.f64 (.f64 N N) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/16 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4))))))
(-.f64 (-.f64 -1 (/.f64 -1/8 (*.f64 N N))) (+.f64 (/.f64 1/2 N) (/.f64 1/16 (pow.f64 N 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1/2 N) (/.f64 1/8 (*.f64 N N))) (/.f64 -1/16 (pow.f64 N 3))))
(+.f64 (+.f64 -1 (/.f64 1/8 (*.f64 N N))) (+.f64 (/.f64 -1/2 N) (/.f64 -1/16 (pow.f64 N 3))))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -1/2 (*.f64 N N))
	0.0b	(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
✓	0.0b	(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
✓	0.3b	(/.f64 -1/2 (*.f64 N N))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`prod-diff_binary64`
562×	`unpow-prod-down_binary64`
372×	`log-prod_binary64`
304×	`fma-def_binary64`
221×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	183	18
2	2662	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (/.f64 1 (*.f64 N (neg.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -1/2) 3) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) 2) 3) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1/2) 2) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1/8 1/3) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/4 (pow.f64 N 4)) -1/2) 1/3) (cbrt.f64 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/4 (pow.f64 N 4)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 (sqrt.f64 -1/2) N)) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -1/2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 N N) -2)) 2) -1) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 N 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 N N) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 N N) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))))))

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

732×	`times-frac_binary64`
554×	`fma-neg_binary64`
530×	`associate-/r*_binary64`
492×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	216
1	26	216
2	46	216
3	100	216
4	264	216
5	937	216
6	5032	216

Stop Event

1×	node limit

Counts

146 → 127

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	16.0b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
	0.1b	(/.f64 1/3 (pow.f64 N 3))
	0.1b	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
	0.0b	(+.f64 1 (/.f64 -1/2 N))
✓	0.0b	(+.f64 1 (/.f64 -1/2 N))
✓	0.1b	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
	0.1b	(/.f64 1/3 (pow.f64 N 3))
✓	16.0b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
0.0ms	N	@	0	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
0.0ms	N	@	0	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
0.0ms	N	@	inf	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
0.0ms	N	@	-inf	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
511×	`fma-def_binary64`
346×	`pow2_binary64`
268×	`log-div_binary64`
241×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	285	34
2	3957	34

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 1 (/.f64 -1/2 N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (/.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)) (*.f64 1/3 N)) (/.f64 1 (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)) (*.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6))) (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)) (*.f64 1/3 N)) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (*.f64 1/3 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)) (*.f64 1/3 N))) (neg.f64 (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))) (neg.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)) (*.f64 (pow.f64 N 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (*.f64 (pow.f64 N 3) 3) 1)) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (*.f64 (pow.f64 N 3) 3) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 N (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/3 (neg.f64 N) (*.f64 (pow.f64 N 3) (+.f64 (neg.f64 (/.f64 -1/2 N)) -1))) (*.f64 (pow.f64 N 3) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 N (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (neg.f64 (/.f64 -1/2 N)) -1))) (*.f64 (*.f64 (pow.f64 N 3) 3) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (neg.f64 N) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (neg.f64 (/.f64 -1/2 N)) -1))) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 -1/2 N)) -1) (pow.f64 N 3) (*.f64 (neg.f64 N) 1/3)) (*.f64 (neg.f64 N) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 N 3) 3 (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (pow.f64 N 3) 3) N) (*.f64 N (*.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 -1/2 N)) -1) (*.f64 (pow.f64 N 3) 3) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 N 3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 -1/2 N)) -1) (neg.f64 (pow.f64 N 3)) (*.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)) (*.f64 1/3 N)) (pow.f64 N 3)) N)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 N 4) (fma.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)) (*.f64 1/3 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))) (/.f64 1/9 (pow.f64 N 6))) (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))) (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (pow.f64 (exp.f64 1/3) (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 N -3)) 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1 (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 1/3) N) (cbrt.f64 (/.f64 1/9 (pow.f64 N 6))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 6))) (/.f64 (cbrt.f64 1/3) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N -1)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N -1)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (neg.f64 (/.f64 -1/2 N)) -1) (/.f64 1 (neg.f64 N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -3) 1/3 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 N N))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (*.f64 N N))) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 (*.f64 N N))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))))

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

704×	`distribute-neg-frac_binary64`
575×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
334×	`associate-/r*_binary64`
334×	`div-sub_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	390
1	65	390
2	120	390
3	261	390
4	715	390
5	3062	378
6	6526	378

Stop Event

1×	node limit

Counts

195 → 174

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 N)
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))

Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (.f64 (/.f64 1 (.f64 N N)) (-.f64 1/2 (/.f64 1/3 N))))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (.f64 (/.f64 1 (.f64 N N)) (-.f64 1/2 (/.f64 1/3 N))))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (.f64 (/.f64 1 (.f64 N N)) (-.f64 1/2 (/.f64 1/3 N))))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (.f64 (/.f64 1 (.f64 N N)) (-.f64 1/2 (/.f64 1/3 N))))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (.f64 (/.f64 1 (.f64 N N)) (-.f64 1/2 (/.f64 1/3 N))))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1 N) (.f64 (/.f64 1 (.f64 N N)) (-.f64 1/2 (/.f64 1/3 N))))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(/.f64 -1/2 N)
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))

localize26.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.1b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
	1.1b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)
	0.4b	(pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3)
	0.4b	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
✓	0.4b	(pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3)
✓	1.1b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)
	1.1b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 53 to 26 computations (50.9% saved)

series18.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	N	@	0	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)
5.0ms	N	@	-inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)
2.0ms	N	@	0	(pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3)
1.0ms	N	@	-inf	(pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3)
0.0ms	N	@	inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
784×	`add-log-exp_binary64`
784×	`expm1-log1p-u_binary64`
783×	`log1p-expm1-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	246	19
2	2216	19

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)
(pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3)

Outputs

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

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

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-/l*_binary64`
371×	`cancel-sign-sub-inv_binary64`
302×	`fma-def_binary64`
289×	`associate-r_binary64`
234×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	4569
1	1035	4350
2	4574	4029

Stop Event

1×	node limit

Counts

90 → 109

Calls

Call 1

Inputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 (log.f64 N) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 2))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 (log.f64 N) (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 2))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 1/3 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 8) (pow.f64 (cbrt.f64 -1) 8))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))))))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) (-.f64 (+.f64 (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))))))) (+.f64 (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 2)))))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 (log.f64 N) (cbrt.f64 -1)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) N))
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 2)))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1 (/.f64 (cbrt.f64 -1) N))))
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 2)))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8))) (+.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (cbrt.f64 -1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 2)))) (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))))) (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -1) 2)))))))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (.f64 -1 (pow.f64 (log.f64 N) 3)))
(+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 (+.f64 (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (pow.f64 N 2))))
(+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (+.f64 (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (pow.f64 N 2)) (.f64 (pow.f64 N 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (+.f64 (.f64 1/3 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))))))) (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 8) (pow.f64 (cbrt.f64 -1) 8))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) 2)))))))))))))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(+.f64 (.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))
(+.f64 (.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (pow.f64 N 5))))))
(+.f64 (.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 N 6)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (pow.f64 N 6))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 6)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (cbrt.f64 -1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 N 6)) (+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (pow.f64 N 5))))))))))

Outputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 (log.f64 N) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 N (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (log.f64 N) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 2))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 (log.f64 N) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (+.f64 (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))))))) (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 1/3 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)) 2/9))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) 2)))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 N (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (/.f64 N (/.f64 (pow.f64 (log.f64 N) 2) N)) (/.f64 (+.f64 (fma.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 2/9)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) 2)) -1/3)) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (*.f64 (log.f64 N) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (.f64 (/.f64 N (pow.f64 (log.f64 N) 2)) N) (/.f64 (fma.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1))))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 1/9)))) (+.f64 (.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4)))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (-.f64 (.f64 2/9 (.f64 (pow.f64 (log.f64 N) 4) 9)) (.f64 1/3 (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) 2)))))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 2))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 1/3 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 8) (pow.f64 (cbrt.f64 -1) 8))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))))))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) (-.f64 (+.f64 (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))))))) (+.f64 (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))) 2)))))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 (log.f64 N) (cbrt.f64 -1)))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (+.f64 (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))))))) (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 1/3 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)) 2/9))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) 2)))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (fma.f64 2/9 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 3 (pow.f64 (log.f64 N) 2))) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))))))) (fma.f64 1/3 (+.f64 1 (-.f64 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (neg.f64 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (.f64 1/27 (/.f64 (/.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 1 (-.f64 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (neg.f64 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (.f64 1/27 (/.f64 (/.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 2/9 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) (pow.f64 (cbrt.f64 -1) 8))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))))))))) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) (+.f64 (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))))))) (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 1/3 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)) 2/9))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) 2)))))))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 N (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1)))))
(fma.f64 1/3 (.f64 (/.f64 N (/.f64 (pow.f64 (log.f64 N) 2) N)) (/.f64 (+.f64 (fma.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 2/9)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) 2)) -1/3)) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 N 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (-.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 1/9))))) (fma.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (-.f64 (fma.f64 (log.f64 N) 2 (.f64 1/3 (pow.f64 (log.f64 N) 2))) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 1/27 (/.f64 (.f64 27 (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 2/9 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) (pow.f64 (cbrt.f64 -1) 8)))))))) (.f64 1/3 (+.f64 (-.f64 (fma.f64 (log.f64 N) 2 (.f64 1/3 (pow.f64 (log.f64 N) 2))) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 1/27 (/.f64 (.f64 27 (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (+.f64 (fma.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 2/9)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) 2)) -1/3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) 3) (pow.f64 (log.f64 N) 2))))))) (fma.f64 1/3 (.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1)))))
(+.f64 (fma.f64 1/3 (.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 (.f64 (/.f64 N (pow.f64 (log.f64 N) 2)) N) (fma.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1))))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 1/9)))) (+.f64 (.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4)))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (-.f64 (.f64 2/9 (.f64 (pow.f64 (log.f64 N) 4) 9)) (.f64 1/3 (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) 2))))))) (.f64 (/.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (+.f64 (.f64 (.f64 2/9 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))))) (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4)))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1))))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 1/9))))))) (-.f64 (fma.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (log.f64 N) 2 (.f64 (log.f64 N) (-.f64 (.f64 1/3 (log.f64 N)) (fma.f64 (log.f64 N) -2/3 -1)))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 (/.f64 1/27 (pow.f64 (log.f64 N) 2)) (/.f64 27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 N) 2) 3))))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 2/9 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 8)))))))) (.f64 1/3 (+.f64 (fma.f64 (log.f64 N) 2 (.f64 (log.f64 N) (-.f64 (.f64 1/3 (log.f64 N)) (fma.f64 (log.f64 N) -2/3 -1)))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 (/.f64 1/27 (pow.f64 (log.f64 N) 2)) (/.f64 27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 N) 2) 3))))))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (fma.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1))))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 1/9)))) (+.f64 (.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4)))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (-.f64 (.f64 2/9 (.f64 (pow.f64 (log.f64 N) 4) 9)) (.f64 1/3 (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) 2)))))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 N) 2) 3)) 3) (pow.f64 (log.f64 N) 2))))))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 -1 (/.f64 (cbrt.f64 -1) N))
(neg.f64 (/.f64 (cbrt.f64 -1) N))
(/.f64 (neg.f64 (cbrt.f64 -1)) N)
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))
(fma.f64 1/3 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 N N)) (neg.f64 (/.f64 (cbrt.f64 -1) N)))
(fma.f64 (.f64 1/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 (.f64 N N) -3/2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (neg.f64 (cbrt.f64 -1)) N))
(fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) (/.f64 N -3/2)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) N)) (/.f64 (neg.f64 (cbrt.f64 -1)) N))
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 2)))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1 (/.f64 (cbrt.f64 -1) N))))
(fma.f64 1/3 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 N N)) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1/3 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (neg.f64 (/.f64 (cbrt.f64 -1) N))))
(fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 (.f64 N N) -3/2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1/3 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (/.f64 (neg.f64 (cbrt.f64 -1)) N)))
(fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) (/.f64 N -3/2)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) N)) (fma.f64 -1/3 (/.f64 (+.f64 (+.f64 -7/12 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/4)) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (neg.f64 (cbrt.f64 -1)))))) (.f64 (pow.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) -3/2) 2) (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (/.f64 (neg.f64 (cbrt.f64 -1)) N)))
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 2)))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8))) (+.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (cbrt.f64 -1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) 2)))) (+.f64 (.f64 -1 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))))) (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 N N)) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1/3 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) 2)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) N) (.f64 1/3 (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (fma.f64 1/3 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 15/8)) (fma.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 15/8)) (cbrt.f64 -1)) (.f64 1/3 (.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))))) (.f64 1/3 (.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))))) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) 3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) (+.f64 (fma.f64 -1/3 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) 2)))))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 4)))))))
(fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 (.f64 N N) -3/2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1/3 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (fma.f64 1/3 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (fma.f64 (cbrt.f64 -1) (fma.f64 1/3 (.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (.f64 2/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (cbrt.f64 -1)))) (.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) (.f64 (+.f64 (fma.f64 -1/3 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -3/2) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (/.f64 (.f64 1/27 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) 3) -27/8)) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 4))) (/.f64 (neg.f64 (cbrt.f64 -1)) N))))
(fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) (/.f64 N -3/2)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) N)) (fma.f64 -1/3 (/.f64 (+.f64 (+.f64 -7/12 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/4)) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (neg.f64 (cbrt.f64 -1)))))) (.f64 (pow.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) -3/2) 2) (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (neg.f64 (cbrt.f64 -1))))))) (fma.f64 1/3 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (+.f64 (.f64 (cbrt.f64 -1) (.f64 2/3 (-.f64 -1/8 (/.f64 (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8) (cbrt.f64 -1))))) (.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (+.f64 (.f64 (cbrt.f64 -1) (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) -3/2) (.f64 (+.f64 (+.f64 -7/12 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/4)) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (neg.f64 (cbrt.f64 -1)))))) (.f64 (pow.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) -3/2) 2) (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (neg.f64 (cbrt.f64 -1)) -27/8)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 4))) (/.f64 (neg.f64 (cbrt.f64 -1)) N))))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (.f64 -1 (pow.f64 (log.f64 N) 3)))
(fma.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 N (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (pow.f64 (log.f64 N) 2) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 N (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 N) 2) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))
(+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 (+.f64 (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (pow.f64 N 2))))
(fma.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (.f64 (.f64 N N) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))))))) (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 1/3 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)) 2/9))))))
(fma.f64 N (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (fma.f64 (.f64 N N) (fma.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (*.f64 9 (pow.f64 (log.f64 N) 4)) 2/9)))) (neg.f64 (pow.f64 (log.f64 N) 3))))
(-.f64 (.f64 N (+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (fma.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1))))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 2/9)))) N))) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/3) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (+.f64 (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 1/3 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (pow.f64 N 2)) (.f64 (pow.f64 N 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (+.f64 (.f64 1/3 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))) (.f64 2/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1)))))))) (.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (log.f64 N) (cbrt.f64 -1)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 8) (pow.f64 (cbrt.f64 -1) 8))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) 2)))))))))))))))))
(fma.f64 N (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 3 (pow.f64 (log.f64 N) 2))) 1) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))))))) (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 1/3 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)) 2/9))) (.f64 N N) (.f64 (pow.f64 N 3) (fma.f64 2/9 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (fma.f64 1/3 (+.f64 1 (-.f64 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (neg.f64 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (.f64 1/27 (/.f64 (/.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 3 (pow.f64 (log.f64 N) 2))) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))))))) (.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 1 (-.f64 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (neg.f64 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (.f64 1/27 (/.f64 (/.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 2/9 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) (pow.f64 (cbrt.f64 -1) 8))) (.f64 3 (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) 2)))))))))))))))
(fma.f64 N (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (-.f64 (fma.f64 (pow.f64 N 3) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 1/9))))) (fma.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (-.f64 (fma.f64 (log.f64 N) 2 (.f64 1/3 (pow.f64 (log.f64 N) 2))) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 1/27 (/.f64 (.f64 27 (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 2/9 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) (pow.f64 (cbrt.f64 -1) 8)))))))) (.f64 1/3 (+.f64 (-.f64 (fma.f64 (log.f64 N) 2 (.f64 1/3 (pow.f64 (log.f64 N) 2))) (.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 1/27 (/.f64 (.f64 27 (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))))))) (.f64 N (.f64 N (fma.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (.f64 9 (pow.f64 (log.f64 N) 4)) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (-.f64 (.f64 (log.f64 N) -2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 9 (pow.f64 (log.f64 N) 4))) -1/3)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (*.f64 9 (pow.f64 (log.f64 N) 4)) 2/9))))))) (pow.f64 (log.f64 N) 3)))
(fma.f64 N (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 N) 2) 3)) (-.f64 (.f64 (.f64 N N) (+.f64 (.f64 N (+.f64 (fma.f64 (log.f64 N) (.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (log.f64 N) 2 (.f64 (log.f64 N) (-.f64 (.f64 1/3 (log.f64 N)) (fma.f64 (log.f64 N) -2/3 -1)))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 (/.f64 1/27 (pow.f64 (log.f64 N) 2)) (/.f64 27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 N) 2) 3))))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 2/9 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 8)))))))) (.f64 1/3 (+.f64 (fma.f64 (log.f64 N) 2 (.f64 (log.f64 N) (-.f64 (.f64 1/3 (log.f64 N)) (fma.f64 (log.f64 N) -2/3 -1)))) (-.f64 1 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 (/.f64 1/27 (pow.f64 (log.f64 N) 2)) (/.f64 27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 N) 2) 3))))))))) (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (+.f64 (.f64 (.f64 2/9 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))))) (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4)))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1))))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 1/9))))))))) (fma.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (log.f64 N) (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 4) (neg.f64 (cbrt.f64 -1))))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/2 (.f64 (log.f64 N) (-.f64 -2 (+.f64 (log.f64 N) 1)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 -9 (pow.f64 (log.f64 N) 4))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (.f64 (pow.f64 (log.f64 N) 4) 9) 2/9)))))) (pow.f64 (log.f64 N) 3)))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 7/4 (pow.f64 N 5))) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 7/4 (pow.f64 N 5))) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 7/4 (pow.f64 N 5)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(+.f64 (.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))
(fma.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 (*.f64 -1/2 (/.f64 1 (pow.f64 N 4))) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))))
(-.f64 (fma.f64 (/.f64 -1/2 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 (pow.f64 N 3))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 (/.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) (pow.f64 N 4)) -3/2))
(+.f64 (.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (pow.f64 N 5))))))
(fma.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (neg.f64 (/.f64 (fma.f64 -1/3 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (pow.f64 N 5))))))
(-.f64 (-.f64 (fma.f64 (/.f64 -1/2 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 (pow.f64 N 3))) (/.f64 (fma.f64 -1/3 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 N 5))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 (/.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) (pow.f64 N 4)) -3/2)) (/.f64 (+.f64 (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (neg.f64 (cbrt.f64 -1))))))) (+.f64 -7/12 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/4))) (pow.f64 N 5)))
(+.f64 (.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 N 6)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (pow.f64 N 6))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 N 6)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (cbrt.f64 -1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 N 6)) (+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (pow.f64 N 5))))))))))
(fma.f64 -1 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (fma.f64 1/3 (/.f64 (.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 6)) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 15/8)) (pow.f64 N 6)) (fma.f64 -1/2 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (pow.f64 N 6)) (+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 N 6) (fma.f64 2/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 15/8)) (cbrt.f64 -1)) (.f64 1/3 (.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))))))) (fma.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (neg.f64 (/.f64 (fma.f64 -1/3 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (pow.f64 N 5)))))))))
(-.f64 (fma.f64 1/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (/.f64 (pow.f64 N 6) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (pow.f64 N 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (/.f64 (pow.f64 N 6) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (-.f64 (fma.f64 (/.f64 -1/2 (pow.f64 N 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 (pow.f64 N 3))) (/.f64 (fma.f64 -1/3 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 1/2 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 N 5))) (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 N 6)) (fma.f64 1/3 (.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (.f64 2/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (cbrt.f64 -1))))))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 N 4)))
(-.f64 (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (pow.f64 N 6)) (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4)) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8)) (pow.f64 N 6)) (fma.f64 -1/2 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 N 6)) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (neg.f64 (cbrt.f64 -1))))))) (+.f64 (-.f64 (fma.f64 (/.f64 -1/2 (pow.f64 N 4)) (cbrt.f64 (neg.f64 (cbrt.f64 -1))) (/.f64 1 (pow.f64 N 3))) (/.f64 (+.f64 (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 (/.f64 1 (neg.f64 (cbrt.f64 -1))))))) (+.f64 -7/12 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/4))) (pow.f64 N 5))) (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 N 6)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4)) (*.f64 2/3 (-.f64 -1/8 (/.f64 (fma.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 15/8) (cbrt.f64 -1)))))))))) (/.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) (pow.f64 N 4)))

localize29.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (log1p.f64 N) 2)
	0.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
	0.1b	(+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))
	0.0b	(+.f64 (log1p.f64 N) (log.f64 N))
✓	0.3b	(pow.f64 (log1p.f64 N) 3)
✓	0.5b	(*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))
✓	0.7b	(pow.f64 (log.f64 N) 3)
✓	2.8b	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))

Compiler

Compiled 78 to 30 computations (61.5% saved)

series68.0ms (1%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	N	@	0	(pow.f64 (log.f64 N) 3)
12.0ms	N	@	-inf	(pow.f64 (log.f64 N) 3)
7.0ms	N	@	inf	(pow.f64 (log.f64 N) 3)
4.0ms	N	@	-inf	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
3.0ms	N	@	0	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
449×	`fma-def_binary64`
401×	`pow-prod-down_binary64`
273×	`pow2_binary64`
226×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	232	39
2	3053	39

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log1p.f64 N) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3)) (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (-.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 2) (.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3)) (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))) (exp.f64 (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)) (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))) (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))) (exp.f64 (neg.f64 (pow.f64 (log.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))) (pow.f64 N (neg.f64 (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (log.f64 N) 3))) (exp.f64 (pow.f64 (log1p.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (log.f64 N) 3))) (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 N (neg.f64 (pow.f64 (log.f64 N) 2))) (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 3) 1 (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 3) 1 (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1 (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log1p.f64 N) 3) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 N) 2) (neg.f64 (log.f64 N)) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 5/2) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 5/2) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 N) 3))) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 3))) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 3))) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 5/2) (sqrt.f64 (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 5/2) (sqrt.f64 (log1p.f64 N)) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (log1p.f64 N) 2) 1) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (log1p.f64 N) 2) 1) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 N) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 N) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 N) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 N) 2) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 N) 2) 1) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 N) 5/2) (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 N) (cbrt.f64 (log.f64 N))) 2) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 N) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 N))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 9 (log.f64 (log.f64 N))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 N) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (log.f64 N))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (log.f64 N))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (log.f64 N)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 N) 2) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (log1p.f64 N) (log.f64 N)) 1) (.f64 (pow.f64 (log.f64 N) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N)))) 2)) (log.f64 (cbrt.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))))) (log.f64 (sqrt.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 (pow.f64 (log.f64 N) 4) (-.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 2) (.f64 (pow.f64 (log.f64 N) 2) (.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log.f64 N) 4) (.f64 (.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (log.f64 N) 4)) (-.f64 (.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 N) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (log.f64 N) 2)) (exp.f64 (.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) (log.f64 N) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 N) (log.f64 N) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log.f64 N) 2) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (.f64 (cbrt.f64 (log.f64 N)) (log1p.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (pow.f64 (cbrt.f64 (log.f64 N)) 4) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (.f64 (cbrt.f64 (log1p.f64 N)) (log.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 3/2) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 N)) (.f64 (sqrt.f64 (log.f64 N)) (log1p.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (.f64 (sqrt.f64 (log1p.f64 N)) (log.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log1p.f64 N) (log.f64 N)) 1 (.f64 (pow.f64 (log.f64 N) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 N) 3/2) (sqrt.f64 (log.f64 N)) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 4) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 N) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 5) (cbrt.f64 (log.f64 N)) (.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log1p.f64 N) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log1p.f64 N) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 N) 5/2) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log1p.f64 N) 2) 1) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 N))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 N) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (log1p.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 N))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 N))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (log1p.f64 N)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))))))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

440×	`times-frac_binary64`
416×	`associate-r_binary64`
415×	`associate-l_binary64`
350×	`distribute-rgt-in_binary64`
348×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2528
1	771	2253
2	2910	2003

Stop Event

1×	node limit

Counts

259 → 285

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (pow.f64 N 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N) (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3)))))))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))))) (/.f64 1 (pow.f64 N 4)))
(.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3))) (/.f64 (.f64 (+.f64 11/12 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (pow.f64 N 4)))))))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (log.f64 N) 2)
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) N))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (log.f64 N))) (*.f64 (log.f64 N) N)))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (log.f64 N))) (+.f64 (.f64 (log.f64 N) N) (.f64 1/3 (*.f64 (pow.f64 N 3) (log.f64 N))))))
(*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2))
(+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)))
(+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)) (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)))))
(+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))))))
(.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N))))
(+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N)) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N)) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(pow.f64 N 3)
(+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (+.f64 (*.f64 -15/8 (pow.f64 N 6)) (pow.f64 N 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))))

Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(pow.f64 (neg.f64 (log.f64 N)) 3)
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (pow.f64 N 3))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (pow.f64 N 3))
(-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)))
(-.f64 (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))))
(fma.f64 7/4 (pow.f64 N 5) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3))))
(fma.f64 7/4 (pow.f64 N 5) (-.f64 (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)) (pow.f64 (log.f64 N) 3)))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)
(/.f64 (*.f64 3 (pow.f64 (neg.f64 (log.f64 N)) 2)) N)
(*.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N))
(*.f64 (/.f64 3 N) (pow.f64 (log.f64 N) 2))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N) (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)))) (/.f64 (.f64 (neg.f64 (log.f64 N)) (-.f64 1 (log.f64 N))) (*.f64 N N))))
(+.f64 (+.f64 (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N)) (/.f64 (.f64 2 (log.f64 N)) (.f64 N N))) (.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) (+.f64 3 (/.f64 -1/2 N))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N) (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3)))))))))))
(fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N))) (/.f64 (.f64 (neg.f64 (log.f64 N)) (-.f64 1 (log.f64 N))) (.f64 N N))))))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 3) (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) (.f64 N N)) (.f64 (+.f64 (/.f64 1/3 (.f64 N N)) 1) (/.f64 (pow.f64 (log.f64 N) 2) N))) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N)))) (.f64 2 (-.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) (/.f64 (log.f64 N) (pow.f64 N 3))))) (.f64 (/.f64 (+.f64 -1 (*.f64 (log.f64 N) 2/3)) (pow.f64 N 3)) (log.f64 N))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))))) (/.f64 1 (pow.f64 N 4)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (pow.f64 N 4)) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (.f64 (neg.f64 (log.f64 N)) (+.f64 11/12 (.f64 (neg.f64 (log.f64 N)) 1/2))) (pow.f64 N 4)) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 4)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N))))))))))))) (/.f64 1 (pow.f64 N 4)))
(+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 4)) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 4)) (-.f64 (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N)))) (/.f64 (.f64 (neg.f64 (log.f64 N)) (-.f64 1 (log.f64 N))) (.f64 N N)))) (*.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (fma.f64 (neg.f64 (log.f64 N)) 1/2 11/12)))))))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 3) (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1)))) (/.f64 -1 (pow.f64 N 4)))
(+.f64 (.f64 (/.f64 (+.f64 -1 (.f64 (log.f64 N) 2/3)) (pow.f64 N 3)) (log.f64 N)) (+.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (/.f64 1/3 (.f64 N N)) 1) (/.f64 (pow.f64 (log.f64 N) 2) N)) (.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (/.f64 -4/3 (.f64 N N)) -2))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 4)) (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N)))) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (.f64 (/.f64 (log.f64 N) (pow.f64 N 4)) (-.f64 11/12 (.f64 (log.f64 N) 1/2))))) (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 4)) (/.f64 (.f64 -2 (log.f64 N)) (pow.f64 N 3))))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -1 (pow.f64 N 4)))))
(.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N))
(neg.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(/.f64 (*.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N))))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(+.f64 (/.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (+.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (fma.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (fma.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 N)) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)))))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (-.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3)))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(-.f64 (+.f64 (/.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (+.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) 2)))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) 1)) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3))) (/.f64 (.f64 (+.f64 11/12 (.f64 -1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (pow.f64 N 4)))))))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4)) (fma.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 4)) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4)) (fma.f64 -1 (/.f64 (fma.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (fma.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 N)) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3)) (/.f64 (+.f64 11/12 (.f64 -1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (/.f64 (pow.f64 N 4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))))))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (-.f64 (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (pow.f64 N 4)) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (-.f64 (.f64 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 11/12) (pow.f64 N 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3)))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3))))) (fma.f64 2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 4)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 4))))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (+.f64 (fma.f64 2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 4)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))))) (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (pow.f64 N 4)) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) (pow.f64 N 4)) (-.f64 (.f64 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 11/12) (pow.f64 N 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (+.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) 1)) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)))) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (/.f64 (*.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N)))) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 4)))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)
(pow.f64 (log.f64 N) 2)
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) N))
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 N (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) N))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (log.f64 N))) (*.f64 (log.f64 N) N)))
(+.f64 (pow.f64 (log.f64 N) 2) (fma.f64 -1/2 (.f64 (log.f64 N) (.f64 N N)) (*.f64 N (log.f64 N))))
(+.f64 (pow.f64 (log.f64 N) 2) (.f64 (log.f64 N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(.f64 (log.f64 N) (+.f64 N (+.f64 (log.f64 N) (.f64 N (*.f64 N -1/2)))))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (log.f64 N))) (+.f64 (.f64 (log.f64 N) N) (.f64 1/3 (*.f64 (pow.f64 N 3) (log.f64 N))))))
(+.f64 (pow.f64 (log.f64 N) 2) (fma.f64 -1/2 (.f64 (log.f64 N) (.f64 N N)) (fma.f64 (log.f64 N) N (.f64 1/3 (.f64 (log.f64 N) (pow.f64 N 3))))))
(+.f64 (.f64 (log.f64 N) (+.f64 N (.f64 (pow.f64 N 3) 1/3))) (.f64 (log.f64 N) (+.f64 (log.f64 N) (.f64 (*.f64 -1/2 N) N))))
(.f64 (log.f64 N) (+.f64 (+.f64 N (.f64 (pow.f64 N 3) 1/3)) (+.f64 (log.f64 N) (.f64 N (.f64 N -1/2)))))
(*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2))
(*.f64 2 (pow.f64 (neg.f64 (log.f64 N)) 2))
(*.f64 2 (pow.f64 (log.f64 N) 2))
(+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)))
(fma.f64 2 (pow.f64 (neg.f64 (log.f64 N)) 2) (neg.f64 (/.f64 (neg.f64 (log.f64 N)) N)))
(-.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (/.f64 (neg.f64 (log.f64 N)) N))
(fma.f64 2 (pow.f64 (log.f64 N) 2) (/.f64 (log.f64 N) N))
(+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)) (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)))))
(fma.f64 2 (pow.f64 (neg.f64 (log.f64 N)) 2) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 N)) N) (.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) 1/2)))
(fma.f64 2 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) 1/2) (/.f64 (neg.f64 (log.f64 N)) N)))
(fma.f64 2 (pow.f64 (log.f64 N) 2) (*.f64 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 -1 (/.f64 1/2 N))))
(+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 N)) N)) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))))))
(fma.f64 -1/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 2 (pow.f64 (neg.f64 (log.f64 N)) 2) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 N)) N) (.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) 1/2))))
(fma.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) -1/3 (fma.f64 2 (pow.f64 (log.f64 N) 2) (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) 1/2) (/.f64 (neg.f64 (log.f64 N)) N))))
(+.f64 (fma.f64 2 (pow.f64 (log.f64 N) 2) (/.f64 (log.f64 N) N)) (.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 1/2 (/.f64 -1/3 N))))
(.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))))
(*.f64 2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))
(+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N))))
(+.f64 (/.f64 (log.f64 -1) N) (fma.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (*.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (neg.f64 (log.f64 (/.f64 -1 N))) N)))
(+.f64 (/.f64 (log.f64 -1) N) (-.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 (log.f64 (/.f64 -1 N)) N)))
(+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (*.f64 2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)))
(+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N)) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(+.f64 (/.f64 (log.f64 -1) N) (fma.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N) (/.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (*.f64 N N)))))
(+.f64 (/.f64 (log.f64 -1) N) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 (.f64 N N) -1/2)) (/.f64 (log.f64 (/.f64 -1 N)) N))))
(+.f64 (+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (.f64 2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (.f64 (/.f64 -1/2 (*.f64 N N)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 -1) N) (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N)) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(fma.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 3)) (+.f64 (/.f64 (log.f64 -1) N) (fma.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) N) (/.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (*.f64 N N))))))
(fma.f64 1/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 3)) (+.f64 (/.f64 (log.f64 -1) N) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 (.f64 N N) -1/2)) (/.f64 (log.f64 (/.f64 -1 N)) N)))))
(fma.f64 1/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (.f64 2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (.f64 (/.f64 -1/2 (*.f64 N N)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))
(pow.f64 N 3)
(+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))
(fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(fma.f64 7/4 (pow.f64 N 5) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (+.f64 (*.f64 -15/8 (pow.f64 N 6)) (pow.f64 N 3))))
(fma.f64 7/4 (pow.f64 N 5) (fma.f64 -3/2 (pow.f64 N 4) (fma.f64 -15/8 (pow.f64 N 6) (pow.f64 N 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))
(fma.f64 -1 (pow.f64 (neg.f64 (log.f64 N)) 3) (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))
(fma.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N) (neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3)))
(fma.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 N)) 3) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (-.f64 (fma.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N) (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)))) (pow.f64 (neg.f64 (log.f64 N)) 3)) (/.f64 (.f64 (neg.f64 (log.f64 N)) (-.f64 1 (log.f64 N))) (*.f64 N N))))
(+.f64 (+.f64 (+.f64 (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N)) (/.f64 (.f64 2 (log.f64 N)) (.f64 N N))) (.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) (+.f64 3 (/.f64 -1/2 N)))) (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))
(fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 N)) 3) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N))))))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N))) (/.f64 (.f64 (neg.f64 (log.f64 N)) (-.f64 1 (log.f64 N))) (.f64 N N)))))) (pow.f64 (neg.f64 (log.f64 N)) 3))) (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 3) (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1))))
(+.f64 (.f64 (/.f64 (+.f64 -1 (.f64 (log.f64 N) 2/3)) (pow.f64 N 3)) (log.f64 N)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) (.f64 N N)) (.f64 (+.f64 (/.f64 1/3 (.f64 N N)) 1) (/.f64 (pow.f64 (log.f64 N) 2) N))) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (.f64 N N)) (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 1 (log.f64 N)) N)))) (*.f64 2 (-.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) (/.f64 (log.f64 N) (pow.f64 N 3))))) (+.f64 (/.f64 1 (pow.f64 N 3)) (pow.f64 (log.f64 N) 3))))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3))
(-.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(+.f64 (/.f64 (*.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3))))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))
(+.f64 (/.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (+.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) 2)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1 (/.f64 (fma.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (fma.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 N)) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))))))) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (.f64 N N)) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 3)))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (-.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3)))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3)) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (/.f64 N -3)))
(+.f64 (/.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) N) (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)) (+.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) 2)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (.f64 N N)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 3))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) -1/3 (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) 1)) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))))

eval694.0ms (10.3%)

Compiler: Compiled 32008 to 21641 computations (32.4% saved)

prune141.0ms (2.1%)

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	1063	8	1071
Fresh	3	2	5
Picked	0	1	1
Done	0	9	9
Total	1066	20	1086

Error

0.0b

Counts

1086 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.3b	(/.f64 (+.f64 N (.f64 N (/.f64 -1/2 N))) (.f64 N N))
▶	27.5b	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
	54.0b	(.f64 (.f64 N (+.f64 N -1/2)) (pow.f64 N -3))
	27.9b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) 1/3) 3) 1/3)
✓	26.6b	(log.f64 (/.f64 (+.f64 N 1) N))
✓	33.7b	(/.f64 1 N)
▶	26.7b	(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	27.5b	(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) 1/3)
▶	27.3b	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
▶	28.5b	(-.f64 N (log.f64 N))
	28.2b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3) 3) 1/3)
	54.1b	(/.f64 (+.f64 N (.f64 (.f64 (.f64 N N) -2) 1)) (.f64 (.f64 (.f64 N N) -2) N))
✓	26.6b	(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓	26.8b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
✓	34.6b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
✓	26.7b	(-.f64 (log1p.f64 N) (log.f64 N))
✓	27.5b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
✓	35.1b	(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
✓	29.2b	(neg.f64 (log.f64 N))
✓	27.9b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3)

Compiler

Compiled 455 to 315 computations (30.8% saved)

localize26.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))
	2.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
	0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
	0.0b	(/.f64 (+.f64 N 1) N)
	0.0b	(/.f64 (+.f64 N 1) N)
	0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
	2.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 56 to 30 computations (46.4% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.2b	(/.f64 (+.f64 N (.f64 N (/.f64 -1/2 N))) (.f64 N N))
	0.1b	(*.f64 N (/.f64 -1/2 N))
✓	0.1b	(*.f64 N (/.f64 -1/2 N))
✓	11.2b	(/.f64 (+.f64 N (.f64 N (/.f64 -1/2 N))) (.f64 N N))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`prod-diff_binary64`
484×	`log-prod_binary64`
296×	`fma-def_binary64`
248×	`pow2_binary64`
172×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	188	21
2	2793	21

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 N -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 N -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) 4)) (cbrt.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) 2) (*.f64 (cbrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) (*.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 N (/.f64 -1/2 N) N)) (/.f64 1 (neg.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 (fma.f64 N (/.f64 -1/2 N) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (fma.f64 N (/.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 N (/.f64 -1/2 N) N) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) 2) N) (/.f64 (cbrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) 1) (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 4)) (/.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) 2) (pow.f64 (cbrt.f64 N) 4)) (cbrt.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 N) 4)) (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (/.f64 (fma.f64 N (/.f64 -1/2 N) N) N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 N (/.f64 -1/2 N) N) 3) (pow.f64 N 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 N (/.f64 (fma.f64 N (/.f64 -1/2 N) N) N)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 N (/.f64 -1/2 N) N) (neg.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 N (/.f64 -1/2 N) N)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (/.f64 -1/2 N) N)) N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 N (/.f64 -1/2 N) N) 3) (pow.f64 N 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 N (/.f64 -1/2 N) N) (pow.f64 N -2))))))))

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

simplify35.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

732×	`times-frac_binary64`
554×	`fma-neg_binary64`
530×	`associate-/r*_binary64`
492×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	144
1	26	144
2	46	144
3	100	144
4	264	144
5	937	144
6	5032	144

Stop Event

1×	node limit

Counts

91 → 73

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 N (log.f64 N))
✓	0.0b	(-.f64 N (log.f64 N))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(-.f64 N (log.f64 N))
0.0ms	N	@	-inf	(-.f64 N (log.f64 N))
0.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite36.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
491×	`add-sqr-sqrt_binary64`
475×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	88	6
2	1258	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 N (log.f64 N))

Outputs

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

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1737×	`fma-neg_binary64`
997×	`distribute-rgt-in_binary64`
633×	`distribute-lft-in_binary64`
625×	`fma-def_binary64`
357×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	79
1	37	61
2	72	61
3	140	61
4	323	61
5	894	61
6	2765	61
7	3585	61
8	4152	61
9	4612	61
10	5172	61
11	5269	61
12	6947	61
13	6975	61
14	6991	61
15	7027	61
16	7307	61

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))
	0.8b	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
	0.0b	(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	0.0b	(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	0.8b	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 24 to 6 computations (75% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
0.0ms	N	@	0	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
0.0ms	N	@	inf	(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
0.0ms	N	@	-inf	(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
0.0ms	N	@	-inf	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`expm1-log1p-u_binary64`
602×	`log1p-expm1-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	130	18
2	1635	18

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

Outputs

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

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

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

358×	`associate-/r*_binary64`
344×	`distribute-rgt-in_binary64`
318×	`distribute-lft-in_binary64`
302×	`associate-+l-_binary64`
284×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	495
1	232	482
2	692	474
3	2501	460

Stop Event

1×	node limit

Counts

86 → 99

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 N 3) (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (.f64 2 (/.f64 1 (log.f64 N))))))) (+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (.f64 1/2 (.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 N (-.f64 (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(fma.f64 (.f64 N N) (+.f64 -1/2 (.f64 N 1/3)) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 4)))))
(log.f64 (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (neg.f64 (/.f64 N (log.f64 N))))
(-.f64 (log.f64 (neg.f64 (log.f64 N))) (/.f64 N (log.f64 N)))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (fma.f64 -1 (/.f64 N (log.f64 N)) (.f64 (.f64 1/2 (*.f64 N N)) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (-.f64 (.f64 (.f64 N N) (*.f64 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) 1/2)) (/.f64 N (log.f64 N))))
(fma.f64 (.f64 N N) (.f64 1/2 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2)))) (-.f64 (log.f64 (neg.f64 (log.f64 N))) (/.f64 N (log.f64 N))))
(-.f64 (fma.f64 (*.f64 N N) (+.f64 (/.f64 1/2 (log.f64 N)) (/.f64 -1/2 (pow.f64 (log.f64 N) 2))) (log.f64 (neg.f64 (log.f64 N)))) (/.f64 N (log.f64 N)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 N 3) (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (.f64 2 (/.f64 1 (log.f64 N))))))) (+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (.f64 1/2 (.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(fma.f64 1/6 (.f64 (pow.f64 N 3) (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 2 (pow.f64 (log.f64 N) 3)) (/.f64 2 (log.f64 N))))) (+.f64 (log.f64 (neg.f64 (log.f64 N))) (fma.f64 -1 (/.f64 N (log.f64 N)) (.f64 (.f64 1/2 (.f64 N N)) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (-.f64 (.f64 (.f64 N N) (.f64 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) 1/2)) (/.f64 N (log.f64 N))) (fma.f64 1/6 (.f64 (pow.f64 N 3) (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 2 (pow.f64 (log.f64 N) 3)) (/.f64 2 (log.f64 N))))) (log.f64 (neg.f64 (log.f64 N)))))
(fma.f64 (+.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 -2 (pow.f64 (log.f64 N) 3)) (/.f64 -2 (log.f64 N)))) (.f64 (pow.f64 N 3) 1/6) (fma.f64 (.f64 N N) (*.f64 1/2 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2)))) (-.f64 (log.f64 (neg.f64 (log.f64 N))) (/.f64 N (log.f64 N)))))
(fma.f64 (pow.f64 N 3) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 2)) (.f64 1/6 (+.f64 (/.f64 -2 (pow.f64 (log.f64 N) 3)) (/.f64 -2 (log.f64 N))))) (-.f64 (fma.f64 (.f64 N N) (+.f64 (/.f64 1/2 (log.f64 N)) (/.f64 -1/2 (pow.f64 (log.f64 N) 2))) (log.f64 (neg.f64 (log.f64 N)))) (/.f64 N (log.f64 N))))
(log.f64 (/.f64 1 N))
(neg.f64 (log.f64 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N))
(fma.f64 -1 (log.f64 N) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (log.f64 N))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N))
(-.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 N) (/.f64 1/2 N)))
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (/.f64 -1/2 N) (log.f64 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
(-.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (+.f64 (/.f64 -1/2 N) (/.f64 -1/8 (pow.f64 N 3))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (*.f64 2 (log.f64 -1)) (log.f64 N))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 N)) (/.f64 1/2 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 1/2 N))
(fma.f64 2 (log.f64 -1) (-.f64 (/.f64 -1/2 N) (log.f64 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 N)) (/.f64 1/2 N))))
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 1/2 N)))
(+.f64 (/.f64 5/24 (*.f64 N N)) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 -1/2 N) (log.f64 N))))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 N)) (/.f64 1/2 N))) (/.f64 1/8 (pow.f64 N 3))))
(+.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (+.f64 (/.f64 -1/2 N) (/.f64 -1/8 (pow.f64 N 3))))))
(+.f64 (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N))) (+.f64 (/.f64 -1/2 N) (/.f64 -1/8 (pow.f64 N 3))))

localize38.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)
	0.3b	(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
	0.2b	(pow.f64 (log1p.f64 N) 2)
	0.0b	(+.f64 (log1p.f64 N) (log.f64 N))
✓	0.5b	(pow.f64 (log.f64 N) 2)
✓	1.1b	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
✓	2.8b	(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
	2.9b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 107 to 46 computations (57% saved)

series27.0ms (0.4%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	N	@	-inf	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
5.0ms	N	@	inf	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
4.0ms	N	@	0	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
1.0ms	N	@	-inf	(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
1.0ms	N	@	inf	(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
567×	`fma-def_binary64`
276×	`fma-neg_binary64`
258×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	343	28
2	4656	28

Stop Event

1×	node limit

Counts

3 → 272

Calls

Call 1

Inputs

(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))

(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)

(pow.f64 (log.f64 N) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 N (log.f64 N)))) (cbrt.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 N (log.f64 N)))))) (log.f64 (cbrt.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 N (log.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2))) (*.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))) (pow.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))) (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))) (exp.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (/.f64 1 (pow.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))) (/.f64 1 (pow.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (log.f64 N) 2))) (exp.f64 (pow.f64 (log1p.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 N (log.f64 N))) (exp.f64 (pow.f64 (log1p.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (log.f64 N) 2))) (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 N (log.f64 N))) (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 2) 1 (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log1p.f64 N) 2) 1 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 N) (neg.f64 (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1 (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2))) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2))) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (/.f64 (pow.f64 (log.f64 N) 3) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) 1) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))) (cbrt.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) (+.f64 1 (-.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 N 1) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 N))) (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 N) (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 N) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) 1) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) 1) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) 1) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))) (/.f64 (hypot.f64 (log1p.f64 N) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 N (log.f64 N))))) (log.f64 (cbrt.f64 (pow.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 N (log.f64 N)))) (log.f64 (sqrt.f64 (pow.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 N) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 N)) (*.f64 (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 N) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 N) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 N) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2)))))))

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

358×	`div-sub_binary64`
351×	`cancel-sign-sub-inv_binary64`
333×	`fma-def_binary64`
290×	`fma-neg_binary64`
240×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	5647
1	1112	4757
2	4624	4626

Stop Event

1×	node limit

Counts

304 → 322

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 11/12 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 (log.f64 N) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (log.f64 N) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -1 (log.f64 N)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 2))) (+.f64 (.f64 2 (log.f64 N)) (.f64 1/2 (pow.f64 (log.f64 N) 2)))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 (.f64 1/2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 -1 (log.f64 N)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (+.f64 (log.f64 N) 1)) (+.f64 (.f64 -1/3 (pow.f64 (log.f64 N) 2)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (-.f64 (+.f64 (log.f64 N) (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 2))) (+.f64 (.f64 2 (log.f64 N)) (.f64 1/2 (pow.f64 (log.f64 N) 2))))) (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))))))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (log.f64 N) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -1 (log.f64 N)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 2))) (+.f64 (.f64 2 (log.f64 N)) (.f64 1/2 (pow.f64 (log.f64 N) 2)))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(/.f64 1 N)
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 2)) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N))))))) (pow.f64 N 3)))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 2)) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N))))))) (pow.f64 N 3))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (+.f64 11/12 (+.f64 (.f64 11/12 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 N))) (.f64 5/3 (log.f64 (/.f64 1 N))))))) (log.f64 (/.f64 1 N)))) (.f64 1/6 (/.f64 1 (log.f64 (/.f64 1 N))))) (+.f64 (.f64 1/27 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 3)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N)))))) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 2)) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N))))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))))) (.f64 1/4 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N)))))))) (pow.f64 N 4))))))
(.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 2)) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3)))) (.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))) 1/3))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (pow.f64 1 4)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9) (.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 2) (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 2)) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3)))) (.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/3)))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (pow.f64 1 4)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9) (.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 2) (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 23/12 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -5/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 11/12 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3) (/.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 3) (pow.f64 (cbrt.f64 -2) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 5) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 5)) 1/9) (.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (pow.f64 1 4)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9) (.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 2) (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 5)) 1/3))))))))) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 2)) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3)))) (.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/3))))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)

Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(neg.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (*.f64 N N))
(-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (.f64 N N) (.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2))))
(-.f64 (-.f64 (*.f64 N N) (pow.f64 N 3)) (pow.f64 (log.f64 N) 2))
(-.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (pow.f64 N 3))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 11/12 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)))))
(fma.f64 N N (-.f64 (-.f64 (*.f64 11/12 (pow.f64 N 4)) (pow.f64 N 3)) (pow.f64 (log.f64 N) 2)))
(-.f64 (fma.f64 N N (*.f64 11/12 (pow.f64 N 4))) (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(/.f64 (*.f64 -2 (neg.f64 (log.f64 N))) N)
(/.f64 (*.f64 (log.f64 N) 2) N)
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (/.f64 (.f64 -2 (neg.f64 (log.f64 N))) N) (/.f64 1 (*.f64 N N))))
(+.f64 (/.f64 (.f64 (log.f64 N) 2) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (*.f64 N N))))
(+.f64 (/.f64 (.f64 (log.f64 N) 2) N) (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (log.f64 N) (*.f64 N N))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (/.f64 (.f64 -2 (neg.f64 (log.f64 N))) N) (/.f64 1 (*.f64 N N))))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (.f64 (log.f64 N) 2/3) (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (.f64 N N))) (-.f64 (/.f64 (.f64 (log.f64 N) 2) N) (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 (.f64 (log.f64 N) 2/3) (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (log.f64 N) (.f64 N N))) (+.f64 (/.f64 (.f64 (log.f64 N) 2) N) (/.f64 -1 (pow.f64 N 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (/.f64 (.f64 -2 (neg.f64 (log.f64 N))) N) (/.f64 1 (*.f64 N N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 (log.f64 N) 2/3) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (.f64 N N)))) (/.f64 (.f64 (log.f64 N) 2) N)) (/.f64 11/12 (pow.f64 N 4))) (-.f64 (/.f64 (*.f64 (log.f64 N) -1/2) (pow.f64 N 4)) (/.f64 1 (pow.f64 N 3))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 (log.f64 N) 2/3) (pow.f64 N 3)) (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (log.f64 N) (.f64 N N)))) (/.f64 (.f64 (log.f64 N) 2) N)) (/.f64 11/12 (pow.f64 N 4))) (+.f64 (/.f64 (*.f64 (log.f64 N) -1/2) (pow.f64 N 4)) (/.f64 -1 (pow.f64 N 3))))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(/.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) N)
(/.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N)
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (/.f64 1 (.f64 N N))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N))))
(+.f64 (/.f64 1 (.f64 N N)) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (.f64 N N))))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (-.f64 (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 3))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N))))
(+.f64 (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 3))) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (.f64 N N))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))))
(+.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (-.f64 (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 3))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)))) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))))
(fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 4)) (+.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (.f64 N N))) (+.f64 (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 3))) (/.f64 11/12 (pow.f64 N 4)))))
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 (log.f64 N) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (log.f64 N) (cbrt.f64 -1)))
(fma.f64 (.f64 1/3 (.f64 (pow.f64 (log.f64 N) 2) (.f64 3 N))) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (log.f64 N) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (log.f64 N) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -1 (log.f64 N)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 2))) (+.f64 (.f64 2 (log.f64 N)) (.f64 1/2 (pow.f64 (log.f64 N) 2)))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 1/3 (.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (+.f64 (log.f64 N) (fma.f64 -1 (log.f64 N) (.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 N) 1)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) (fma.f64 2 (log.f64 N) (*.f64 (pow.f64 (log.f64 N) 2) 1/2)))) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 N (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (-.f64 (.f64 0 (log.f64 N)) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) (fma.f64 (pow.f64 (log.f64 N) 2) 1/2 (.f64 (log.f64 N) 2)))) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (log.f64 N) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 N (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (.f64 (log.f64 N) (-.f64 -1 (log.f64 N))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (pow.f64 (log.f64 N) 4) 9)) (fma.f64 (pow.f64 (log.f64 N) 2) 1/2 (.f64 (log.f64 N) 2)))) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (log.f64 N) (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 (.f64 1/2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 -1 (log.f64 N)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (+.f64 (log.f64 N) 1)) (+.f64 (.f64 -1/3 (pow.f64 (log.f64 N) 2)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (-.f64 (+.f64 (log.f64 N) (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 2))) (+.f64 (.f64 2 (log.f64 N)) (.f64 1/2 (pow.f64 (log.f64 N) 2))))) (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2)))))))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (log.f64 N) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -1 (log.f64 N)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (.f64 -1 (pow.f64 (log.f64 N) 2))) 2))) (+.f64 (.f64 2 (log.f64 N)) (.f64 1/2 (pow.f64 (log.f64 N) 2)))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (/.f64 (pow.f64 N 3) (/.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)) (-.f64 (fma.f64 1/2 (log.f64 N) (fma.f64 -1 (.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1)) (neg.f64 (log.f64 N)))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (log.f64 N)) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1 (+.f64 (log.f64 N) 1) (fma.f64 -1/3 (pow.f64 (log.f64 N) 2) (.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (-.f64 (+.f64 (log.f64 N) (fma.f64 -1 (log.f64 N) (.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 N) 1)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) (fma.f64 2 (log.f64 N) (.f64 (pow.f64 (log.f64 N) 2) 1/2))))) (.f64 (pow.f64 (log.f64 N) 2) 3)))))))))) (fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (+.f64 (log.f64 N) (fma.f64 -1 (log.f64 N) (.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 N) 1)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) (fma.f64 2 (log.f64 N) (.f64 (pow.f64 (log.f64 N) 2) 1/2)))) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 N (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 N 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (fma.f64 (log.f64 N) 1/2 (neg.f64 (fma.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1) (log.f64 N)))) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (/.f64 (log.f64 N) 3)) (fma.f64 1/27 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 2) 3) 27) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/3 (.f64 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (-.f64 (-.f64 (.f64 0 (log.f64 N)) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) (fma.f64 (pow.f64 (log.f64 N) 2) 1/2 (.f64 (log.f64 N) 2))))) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))))))) (+.f64 (log.f64 N) 1)))))) (fma.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (-.f64 (.f64 0 (log.f64 N)) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) (fma.f64 (pow.f64 (log.f64 N) 2) 1/2 (.f64 (log.f64 N) 2)))) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (log.f64 N) (cbrt.f64 -1)))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (.f64 N (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 N 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (-.f64 (.f64 (log.f64 N) 1/2) (fma.f64 (log.f64 N) (fma.f64 (log.f64 N) -2/3 -1) (log.f64 N))) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) (/.f64 (log.f64 N) 3)) (+.f64 (fma.f64 (pow.f64 (log.f64 N) 2) -1/3 (.f64 (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (-.f64 (.f64 (log.f64 N) (-.f64 -1 (log.f64 N))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (pow.f64 (log.f64 N) 4) 9)) (fma.f64 (pow.f64 (log.f64 N) 2) 1/2 (.f64 (log.f64 N) 2))))) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))))))) (fma.f64 (/.f64 1/27 (pow.f64 (log.f64 N) 2)) (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 2) 3) 27) (pow.f64 (cbrt.f64 -1) 2)) (-.f64 -1 (log.f64 N))))))) (fma.f64 1/3 (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (-.f64 (.f64 (log.f64 N) (-.f64 -1 (log.f64 N))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 N)) (cbrt.f64 -1))) (.f64 (pow.f64 (log.f64 N) 4) 9)) (fma.f64 (pow.f64 (log.f64 N) 2) 1/2 (.f64 (log.f64 N) 2)))) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (log.f64 N) (cbrt.f64 -1)))))
(/.f64 1 N)
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))) (/.f64 1 N))
(fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) (*.f64 N N)) (/.f64 1 N))
(fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (.f64 N N)) (/.f64 1 N))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 2)) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N))))))) (pow.f64 N 3)))))
(+.f64 (fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) (.f64 N N)) (/.f64 1 N)) (.f64 1/3 (/.f64 (-.f64 (/.f64 (.f64 -1/2 (+.f64 (fma.f64 -1 (+.f64 1 (neg.f64 (log.f64 N))) (.f64 (neg.f64 (log.f64 N)) -5/2)) -1)) (neg.f64 (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) 2) (+.f64 (/.f64 1/4 (neg.f64 (log.f64 N))) (/.f64 (*.f64 -1/2 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N))))) (neg.f64 (log.f64 N)))))) (pow.f64 N 3))))
(fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (.f64 N N)) (fma.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (+.f64 -1 (log.f64 N)) (.f64 (log.f64 N) 5/2))) (log.f64 N))) (+.f64 (.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 2) (/.f64 -1/4 (log.f64 N))))) (pow.f64 N 3)) (/.f64 1 N)))
(fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (.f64 N N)) (fma.f64 1/3 (/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (fma.f64 (log.f64 N) 5/2 -1) (log.f64 N))) (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 2) (/.f64 -1/4 (log.f64 N)))) (.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N)))) (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 2)) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N))))))) (pow.f64 N 3))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (+.f64 11/12 (+.f64 (.f64 11/12 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 N))) (.f64 5/3 (log.f64 (/.f64 1 N))))))) (log.f64 (/.f64 1 N)))) (.f64 1/6 (/.f64 1 (log.f64 (/.f64 1 N))))) (+.f64 (.f64 1/27 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 3)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N)))))) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (+.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) (.f64 -11/6 (log.f64 (/.f64 1 N))))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) 2)) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N))))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))))) (.f64 1/4 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (log.f64 (/.f64 1 N))) (+.f64 1 (log.f64 (/.f64 1 N)))) (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N)))))))) (pow.f64 N 4))))))
(+.f64 (fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) (.f64 N N)) (/.f64 1 N)) (.f64 1/3 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 -1/2 (+.f64 (fma.f64 -1 (+.f64 1 (neg.f64 (log.f64 N))) (.f64 (neg.f64 (log.f64 N)) -5/2)) -1)) (neg.f64 (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) 2) (+.f64 (/.f64 1/4 (neg.f64 (log.f64 N))) (/.f64 (.f64 -1/2 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N))))) (neg.f64 (log.f64 N)))))) (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (+.f64 11/12 (fma.f64 11/12 (+.f64 1 (neg.f64 (log.f64 N))) (.f64 (neg.f64 (log.f64 N)) 13/6)))) (neg.f64 (log.f64 N))) (/.f64 1/6 (neg.f64 (log.f64 N)))) (fma.f64 1/27 (pow.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) 3) (fma.f64 -1/2 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 -1/2 (+.f64 (fma.f64 -1 (+.f64 1 (neg.f64 (log.f64 N))) (.f64 (neg.f64 (log.f64 N)) -5/2)) -1)) (neg.f64 (log.f64 N))) (/.f64 1/4 (neg.f64 (log.f64 N)))) (/.f64 (.f64 -1/2 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N))))) (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (fma.f64 2/3 (.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) (-.f64 (/.f64 (.f64 -1/2 (+.f64 (fma.f64 -1 (+.f64 1 (neg.f64 (log.f64 N))) (.f64 (neg.f64 (log.f64 N)) -5/2)) -1)) (neg.f64 (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) 2) (+.f64 (/.f64 1/4 (neg.f64 (log.f64 N))) (/.f64 (.f64 -1/2 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N))))) (neg.f64 (log.f64 N))))))) (.f64 1/4 (/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N))) (/.f64 1/2 (neg.f64 (log.f64 N)))) (neg.f64 (log.f64 N)))))))) (pow.f64 N 4)))))
(fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (.f64 N N)) (fma.f64 1/3 (+.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (+.f64 -1 (log.f64 N)) (.f64 (log.f64 N) 5/2))) (log.f64 N))) (+.f64 (.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 2) (/.f64 -1/4 (log.f64 N))))) (pow.f64 N 3)) (/.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (log.f64 N) -13/6) (+.f64 11/6 (.f64 (log.f64 N) -11/12))) (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1)) (log.f64 N))) (-.f64 (/.f64 -1/6 (log.f64 N)) (+.f64 (fma.f64 2/3 (.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (-.f64 (.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (+.f64 -1 (log.f64 N)) (.f64 (log.f64 N) 5/2))) (log.f64 N))) (+.f64 (.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 2) (/.f64 -1/4 (log.f64 N)))))) (.f64 -1/4 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N)))) (fma.f64 1/27 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 3) (.f64 1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (+.f64 -1 (log.f64 N)) (.f64 (log.f64 N) 5/2))) (log.f64 N))) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/4 (log.f64 N)))) (log.f64 N))))))) (pow.f64 N 4))) (/.f64 1 N)))
(fma.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (.f64 N N)) (fma.f64 1/3 (+.f64 (/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (fma.f64 (log.f64 N) 5/2 -1) (log.f64 N))) (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 2) (/.f64 -1/4 (log.f64 N)))) (.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N)))) (pow.f64 N 3)) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 -1/6 (log.f64 N)) (fma.f64 1/2 (/.f64 (+.f64 (+.f64 11/6 (.f64 (log.f64 N) -11/12)) (-.f64 (.f64 (log.f64 N) -13/6) (fma.f64 (log.f64 N) 2/3 -1))) (log.f64 N)) (.f64 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 3) -1/27))) (fma.f64 2/3 (.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (fma.f64 (log.f64 N) 5/2 -1) (log.f64 N))) (log.f64 N))) (fma.f64 1/3 (pow.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) 2) (/.f64 -1/4 (log.f64 N)))) (.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N))))) (.f64 -1/4 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N))))) (.f64 -1/2 (/.f64 (+.f64 (fma.f64 1/2 (/.f64 (+.f64 -1 (+.f64 (fma.f64 (log.f64 N) 5/2 -1) (log.f64 N))) (log.f64 N)) (/.f64 1/4 (log.f64 N))) (.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 (log.f64 N) -2) (-.f64 1 (log.f64 N))) (neg.f64 (log.f64 N))) (/.f64 -1/2 (log.f64 N))) (log.f64 N)))) (log.f64 N)))) (pow.f64 N 4))) (/.f64 1 N)))
(.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/3)))
(neg.f64 (.f64 (/.f64 (cbrt.f64 -2) N) (cbrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))
(.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (neg.f64 (/.f64 (cbrt.f64 -2) N)))
(.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (/.f64 (neg.f64 (cbrt.f64 -2)) N))
(+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 2)) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3)))) (.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))) 1/3))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (neg.f64 (.f64 (/.f64 (cbrt.f64 -2) N) (cbrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (*.f64 2 (log.f64 -1))))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 N)))))) (neg.f64 (/.f64 (cbrt.f64 -2) N))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 N)))))) (/.f64 (neg.f64 (cbrt.f64 -2)) N)))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (pow.f64 1 4)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9) (.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 2) (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 2)) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3)))) (.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/3)))))
(fma.f64 -1/3 (.f64 (/.f64 (-.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (+.f64 (/.f64 2 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))) (/.f64 (log.f64 -1) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 1/18) (pow.f64 (/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) 2))) (.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)))) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (neg.f64 (.f64 (/.f64 (cbrt.f64 -2) N) (cbrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))))
(fma.f64 (/.f64 (.f64 -1/3 (-.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18) (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 2)) 1/3)) (-.f64 (-.f64 (/.f64 (log.f64 -1) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)) (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 N)))))) (neg.f64 (/.f64 (cbrt.f64 -2) N)))))
(fma.f64 (/.f64 (.f64 -1/3 (-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (+.f64 (/.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 3)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18) (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 2)) 1/3)))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (/.f64 (neg.f64 (cbrt.f64 -2)) N))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (pow.f64 1 4)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9) (.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 2) (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 23/12 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -5/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 11/12 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3) (/.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 3) (pow.f64 (cbrt.f64 -2) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 5) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 5)) 1/9) (.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) (pow.f64 1 4)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9) (.f64 (pow.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) 2) (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 5)) 1/3))))))))) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) 1) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))))) (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 2)) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))) 2) (pow.f64 1 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3)))) (.f64 -1 (.f64 (/.f64 (cbrt.f64 -2) N) (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))) 1/3))))))
(fma.f64 -1/3 (.f64 (/.f64 (-.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (+.f64 (/.f64 2 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))) (/.f64 (log.f64 -1) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 1/18) (pow.f64 (/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) 2))) (.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2))) (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (+.f64 (/.f64 23/12 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -5/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 11/12 (/.f64 (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))))))))) (fma.f64 -1 (/.f64 (-.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (+.f64 (/.f64 2 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))) (/.f64 (log.f64 -1) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2))) (.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))))))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2))) (/.f64 (pow.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) 3) (pow.f64 (cbrt.f64 -2) 2))) (.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 5) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 5)) 1/18))) (.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (.f64 (-.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (+.f64 (/.f64 2 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (.f64 -11/6 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))) (/.f64 (log.f64 -1) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 1/18) (pow.f64 (/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) 2))) (.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)) (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 5))))))))))) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -2) 2)))) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))) (/.f64 1 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1)))))) (.f64 -2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))) 2) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (neg.f64 (.f64 (/.f64 (cbrt.f64 -2) N) (cbrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (.f64 2 (log.f64 -1))))))))))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (neg.f64 (/.f64 (cbrt.f64 -2) N)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (+.f64 (/.f64 (.f64 -1/3 (-.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18) (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 2)) 1/3)) (-.f64 (-.f64 (/.f64 (log.f64 -1) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)) (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (.f64 11/12 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 23/12 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))) (-.f64 (fma.f64 2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (fma.f64 2/3 (.f64 (.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (-.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18) (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 2)) 1/3)) (-.f64 (-.f64 (/.f64 (log.f64 -1) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)) (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 5))) (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 5) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 5) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 5)) 1/18)))) (.f64 1/27 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (/.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 3))))))) (/.f64 (-.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (-.f64 (-.f64 (/.f64 (log.f64 -1) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)) (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 -2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))) (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -2) 2)))))))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (.f64 N N)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (/.f64 (neg.f64 (cbrt.f64 -2)) N))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (+.f64 (/.f64 (.f64 -1/3 (-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (+.f64 (/.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 3)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18) (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 2)) 1/3)))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -2) 2))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 23/12 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (fma.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (.f64 11/12 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))))) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (+.f64 (/.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 3)))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))))) (fma.f64 2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 3))) (fma.f64 1/27 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2))) (/.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 3))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 5) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 5) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 5)) 1/18)) (.f64 (.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) (.f64 (-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -11/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 2 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -5/3)) (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2))) (+.f64 (/.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (/.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 3)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18) (pow.f64 (/.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (pow.f64 (+.f64 (+.f64 (/.f64 1 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N))))) -3)) (.f64 2 (/.f64 (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (pow.f64 (fma.f64 2 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) 2)))) 2)) 1/3))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 5))))) 2/3)))))) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -2) 2)))))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)

eval409.0ms (6.1%)

Compiler: Compiled 23803 to 14108 computations (40.7% saved)

prune114.0ms (1.7%)

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	797	9	806
Fresh	1	4	5
Picked	0	1	1
Done	4	10	14
Total	802	24	826

Error

0.0b

Counts

826 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	54.0b	(.f64 (.f64 N (+.f64 N -1/2)) (pow.f64 N -3))
	27.9b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) 1/3) 3) 1/3)
✓	26.6b	(log.f64 (/.f64 (+.f64 N 1) N))
	28.3b	(exp.f64 (*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)))
✓	34.6b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
✓	33.7b	(/.f64 1 N)
✓	26.7b	(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	27.3b	(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
✓	26.7b	(-.f64 (log1p.f64 N) (log.f64 N))
✓	28.5b	(-.f64 N (log.f64 N))
	28.2b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) 3) 1/3) 3) 1/3)
	54.1b	(/.f64 (+.f64 N (.f64 (.f64 (.f64 N N) -2) 1)) (.f64 (.f64 (.f64 N N) -2) N))
✓	26.6b	(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓	26.8b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
	27.2b	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
	26.6b	(+.f64 (*.f64 1/2 (log.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	61.1b	N
✓	27.5b	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
✓	27.5b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
	46.3b	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	29.2b	(neg.f64 (log.f64 N))
	27.5b	(pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)
	28.3b	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
	27.5b	(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N))) 1/3)

Compiler

Compiled 365 to 249 computations (31.8% saved)

regimes32.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

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

Outputs
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.1b	2	`N`

Compiler

Compiled 344 to 186 computations (45.9% saved)

bsearch29.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	954.8915609233318	506056.9125754291

Compiler

Compiled 12 to 9 computations (25% saved)

regimes85.0ms (1.3%)

Counts

14 → 2

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))

Calls

1 calls:

81.0ms

Results

Error	Segments	Branch
0.1b	2	`N`

Compiler

Compiled 119 to 75 computations (37% saved)

bsearch24.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	954.8915609233318	506056.9125754291

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (+.f64 N (.f64 (.f64 (.f64 N N) -2) 1)) (.f64 (.f64 (.f64 N N) -2) N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(.f64 (.f64 N (+.f64 N -1/2)) (pow.f64 N -3))

Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 1 N)

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.3b	2	`N`

Compiler

Compiled 53 to 30 computations (43.4% saved)

bsearch26.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	506056.9125754291	1179553591.3847742

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (+.f64 N (.f64 (.f64 (.f64 N N) -2) 1)) (.f64 (.f64 (.f64 N N) -2) N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))

Outputs
(-.f64 N (log.f64 N))
(/.f64 1 N)

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.2b	2	`N`

Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch24.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.39211478482209317	24.519932271271855

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (+.f64 N (.f64 (.f64 (.f64 N N) -2) 1)) (.f64 (.f64 (.f64 N N) -2) N))
(neg.f64 (log.f64 N))

Outputs
(neg.f64 (log.f64 N))
(/.f64 1 N)

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.4b	2	`N`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch24.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.39211478482209317	24.519932271271855

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -29.3b remaining (-86.8%)

Threshold costs -29.3b (-86.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
33.7b	1	`N`

Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	50	138
2	54	138
3	55	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 N 524957187250189/549755813888) (+.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(if (<=.f64 N 524957187250189/549755813888) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(if (<=.f64 N 2173497889426199/4294967296) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 7233241083130843136/18446744073709551616) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 7233241083130843136/18446744073709551616) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 N 524957187250189/549755813888) (+.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(if (<=.f64 N 524957187250189/549755813888) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(if (<=.f64 N 2173497889426199/4294967296) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 7233241083130843136/18446744073709551616) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 1765927998811241/4503599627370496) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 7233241083130843136/18446744073709551616) (neg.f64 (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 1765927998811241/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

end134.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 194 to 138 computations (28.9% saved)