Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
75%	37.5%	12.5%	0%	12.5%	37.5%	0%	4
87.5%	43.7%	6.2%	0%	12.5%	37.5%	0%	5
93.8%	46.9%	3.1%	0%	12.5%	37.5%	0%	6
96.9%	48.4%	1.6%	0%	12.5%	37.5%	0%	7
98.4%	49.2%	0.8%	0%	12.5%	37.5%	0%	8
99.2%	49.6%	0.4%	0%	12.5%	37.5%	0%	9
99.6%	49.8%	0.2%	0%	12.5%	37.5%	0%	10
99.8%	49.9%	0.1%	0%	12.5%	37.5%	0%	11
99.9%	49.9%	0%	0%	12.5%	37.5%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (24.9%)

Results

674.0ms	4862×	body	256	valid
673.0ms	2084×	body	1024	valid
225.0ms	1045×	body	512	valid
142.0ms	265×	body	2048	valid

Bogosity

preprocess11.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15
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)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15

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))

eval0.0ms (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

28.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`add-sqr-sqrt`
1512×	`*-un-lft-identity`
1410×	`add-cube-cbrt`
1394×	`add-cbrt-cube`
1380×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1867	15

Stop Event

1×	node limit

Counts

1 → 36

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 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (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 (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 (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 (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 (-.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 (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 (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 (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 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 (-.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 (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) (.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) 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 (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 (+.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 pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(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 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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(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 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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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)))))))

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 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (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 (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 (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 (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 (-.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 (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 (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 (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 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 (-.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 (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) (*.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) 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 (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 (+.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 pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(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 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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(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 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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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)))))))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-+l+`
1176×	`associate-r`
936×	`associate-l`
826×	`fma-def`
666×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1430
1	351	1342
2	1330	1336
3	5604	1336

Stop Event

1×	node limit

Counts

48 → 70

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

eval15.0ms (0.2%)

Compiler: Compiled 903 to 435 computations (51.8% saved)

prune13.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Error

0.0b

Counts

71 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
▶	31.9b	(/.f64 1 N)
	33.4b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	29.8b	(-.f64 N (log.f64 N))
▶	32.6b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
	33.1b	(+.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)))))
▶	30.7b	(neg.f64 (log.f64 N))
▶	28.2b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 154 to 114 computations (26% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 N 1) N)
✓	2.3b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series127.0ms (1.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
126.0ms	N	@	inf	(/.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	@	0	(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms	N	@	inf	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite226.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1598×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	164	28
2	2135	28

Stop Event

1×	node limit

Counts

2 → 61

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

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

796×	`distribute-lft-in`
740×	`distribute-rgt-in`
694×	`unswap-sqr`
646×	`fma-def`
574×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1609
1	424	1559
2	1712	1547
3	6886	1547

Stop Event

1×	node limit

Counts

85 → 107

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

localize2.0ms (0%)

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

localize4.0ms (0.1%)

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

localize160.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	0.1b	(/.f64 1/3 (pow.f64 N 3))
✓	0.7b	(/.f64 1/2 (*.f64 N N))
✓	11.8b	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))

Compiler

Compiled 51 to 33 computations (35.3% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite437.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`distribute-lft-in`
840×	`associate-/l*`
814×	`associate-/r/`
506×	`associate-/l/`
332×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	332	92
2	4722	92

Stop Event

1×	node limit

Counts

4 → 261

Calls

Call 1

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

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

simplify322.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-r`
938×	`associate-/r*`
904×	`associate-l`
842×	`*-commutative`
680×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	747	19561
1	2351	18933

Stop Event

1×	node limit

Counts

297 → 482

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 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.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 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.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 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.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 1/3 (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 (.f64 1/3 (pow.f64 N -3)) (.f64 (pow.f64 N -2) -1/2))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (.f64 1 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (.f64 1 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (.f64 1 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (.f64 1/3 (pow.f64 N -3)))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (+.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (+.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (+.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (+.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)))
(+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (exp.f64 (log1p.f64 (.f64 1/2 (pow.f64 N -2))))) 1)
(.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 1)
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(/.f64 (-.f64 (.f64 (pow.f64 N -2) (pow.f64 N -2)) (.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2))) (.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 3) 3)) (.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) N))) (+.f64 (.f64 (pow.f64 N -3) (pow.f64 N -3)) (-.f64 (.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 3)) (.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) 3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (+.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 1 N))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (.f64 (+.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2) 3)) (.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (+.f64 (.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2)) (.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) N) (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2))) 1)) (.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N)) (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2))) -1)) (.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N) (.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) 1)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) N))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) -1)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 N)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)) N) (*.f64 (pow.f64 N 5) 1)) (pow.f64 N 6))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)) (neg.f64 N)) (.f64 (pow.f64 N 5) -1)) (.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2))) (.f64 N (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (.f64 N (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (.f64 N (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (+.f64 (pow.f64 N 5) (.f64 N (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
(/.f64 (+.f64 (.f64 -1 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2)))) (.f64 (neg.f64 N) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))) (.f64 (neg.f64 N) (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (neg.f64 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (+.f64 (.f64 -1 (pow.f64 N 5)) (.f64 (neg.f64 N) (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)))) (.f64 (neg.f64 N) (pow.f64 N 5)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1)
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))

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 (/.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 (/.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 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.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 (/.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 (/.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 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.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 (/.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 (/.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 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.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 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.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 -1/2 (*.f64 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 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 -1/2 (*.f64 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 N) (.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 (/.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 (/.f64 1 N) (.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 (/.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 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 1/3 (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 -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 1/3 (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 -1/2 (*.f64 N N))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 (pow.f64 N -2) -1/2))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (.f64 -1/2 (pow.f64 N -2)) 1 (.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (+.f64 (.f64 -1/2 (pow.f64 N -2)) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) -1/2 (+.f64 (.f64 -1 (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)) (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2)))))
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(/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2))) (.f64 N (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (.f64 N (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2)))))
(/.f64 (fma.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) N (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2)))) (.f64 N (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (.f64 N (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (fma.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5))))) (.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (fma.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))) (.f64 N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (pow.f64 N 5) (.f64 N (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
(/.f64 (fma.f64 (-.f64 (.f64 1/3 (.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) N (pow.f64 N 5)) (pow.f64 N 6))
(/.f64 (fma.f64 (fma.f64 1/3 (.f64 N N) (.f64 (pow.f64 N 3) -1/2)) N (pow.f64 N 5)) (pow.f64 N 6))
(/.f64 (+.f64 (.f64 -1 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2)))) (.f64 (neg.f64 N) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (fma.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N) (neg.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2))))) (.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N)))
(/.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))) (.f64 (neg.f64 N) (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (neg.f64 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (fma.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5)))))) (.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (fma.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (+.f64 (.f64 -1 (pow.f64 N 5)) (.f64 (neg.f64 N) (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)))) (.f64 (neg.f64 N) (pow.f64 N 5)))
(/.f64 (fma.f64 (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)) (neg.f64 N) (neg.f64 (pow.f64 N 5))) (.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (fma.f64 (fma.f64 1/3 (.f64 N N) (.f64 (pow.f64 N 3) -1/2)) (neg.f64 N) (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2) (pow.f64 N -2)) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N)))))
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1)
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2)) 2)
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) (pow.f64 N -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3)
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3)
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(+.f64 (-.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
	2.4b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series8.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
1.0ms	N	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms	N	@	0	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms	N	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
0.0ms	N	@	inf	(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`add-sqr-sqrt`
1804×	`*-un-lft-identity`
1686×	`add-cube-cbrt`
1670×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	208	34
2	2309	34

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def`
978×	`+-commutative`
820×	`unswap-sqr`
752×	`associate-+r-`
622×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	2818
1	522	2590
2	2028	2526
3	7635	2524

Stop Event

1×	node limit

Counts

74 → 107

Calls

Call 1

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

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

eval392.0ms (5.7%)

Compiler: Compiled 21243 to 15658 computations (26.3% saved)

prune136.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	764	2	766
Fresh	1	2	3
Picked	1	0	1
Done	2	2	4
Total	768	6	774

Error

Counts

774 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.9b	(/.f64 1 N)
▶	33.4b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	29.8b	(-.f64 N (log.f64 N))
▶	32.6b	(+.f64 (/.f64 1 N) (-.f64 (.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N))) (/.f64 1/2 (*.f64 N N))))
✓	30.7b	(neg.f64 (log.f64 N))
▶	0.0b	(log1p.f64 (+.f64 (/.f64 1 N) 0))

Compiler

Compiled 50 to 35 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 (/.f64 1 N) 0))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(log1p.f64 (+.f64 (/.f64 1 N) 0))
0.0ms	N	@	inf	(log1p.f64 (+.f64 (/.f64 1 N) 0))
0.0ms	N	@	0	(log1p.f64 (+.f64 (/.f64 1 N) 0))

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`add-sqr-sqrt`
1290×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1198×	`add-cbrt-cube`
1186×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	183	11
2	1973	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (/.f64 1 N) 0))

Outputs

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

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-def`
878×	`associate-/r*`
830×	`*-commutative`
774×	`associate-*r/`
660×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	717
1	152	619
2	582	523
3	2222	515
4	5340	515

Stop Event

1×	node limit

Counts

27 → 47

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

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N)))
	0.7b	(/.f64 1/2 (*.f64 N N))
✓	0.7b	(/.f64 1/3 (*.f64 N N))
✓	11.8b	(-.f64 (.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N))) (/.f64 1/2 (*.f64 N N)))

Compiler

Compiled 64 to 35 computations (45.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite97.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`associate-/l*`
742×	`associate-/r/`
714×	`associate-/l/`
468×	`distribute-rgt-in`
432×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	275	51
2	3843	51

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

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

Outputs

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

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-/r*`
1036×	`associate-r`
826×	`times-frac`
826×	`associate-l`
810×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	609	12799
1	1867	11571

Stop Event

1×	node limit

Counts

267 → 396

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 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.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 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.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 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 1 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 1 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 1 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
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(.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))
(.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (.f64 1/3 (pow.f64 N -2))))
(*.f64 (/.f64 1/3 N) (/.f64 1 N))
(*.f64 (pow.f64 N -2) 1/3)
(.f64 -1/3 (/.f64 1 (.f64 N (neg.f64 N))))
(.f64 (/.f64 1/3 (.f64 (sqrt.f64 N) N)) (pow.f64 N -1/2))
(*.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)))
(.f64 (/.f64 1 (.f64 N (neg.f64 N))) -1/3)
(*.f64 (/.f64 (/.f64 1/3 N) (neg.f64 N)) -1)
(pow.f64 (*.f64 1/3 (pow.f64 N -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) N) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -2)) 3) 1/3)
(pow.f64 (*.f64 N (/.f64 N 1/3)) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1)
(/.f64 1 (/.f64 (pow.f64 N 3) 1/3))
(/.f64 1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 N)))
(/.f64 1 (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 (sqrt.f64 1/3) N)))
(/.f64 1 (/.f64 (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(/.f64 1 (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 1 (.f64 (.f64 N N) (/.f64 N 1/3)))
(/.f64 (/.f64 1 N) (*.f64 N (/.f64 N 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (.f64 (neg.f64 N) (.f64 N (neg.f64 N))))
(/.f64 1/3 (.f64 (.f64 N (neg.f64 N)) (neg.f64 N)))
(/.f64 1/3 (/.f64 (*.f64 N N) (/.f64 1 N)))
(/.f64 (*.f64 1/3 (pow.f64 N -2)) N)
(/.f64 (/.f64 (sqrt.f64 1/3) N) (*.f64 (/.f64 N (sqrt.f64 1/3)) N))
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 N -1/2)))
(/.f64 (pow.f64 N -1/2) (/.f64 (.f64 N N) (.f64 (pow.f64 N -1/2) 1/3)))
(/.f64 (pow.f64 N -1/2) (.f64 (.f64 N (/.f64 N 1/3)) (sqrt.f64 N)))
(/.f64 (sqrt.f64 1/3) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 1 N)))
(/.f64 (sqrt.f64 1/3) (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) N))
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 N (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (/.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (cbrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (/.f64 (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))) (cbrt.f64 (.f64 1/3 (pow.f64 N -2)))))
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))))
(/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 (pow.f64 N -2))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (cbrt.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (.f64 N N) (.f64 (/.f64 1 (cbrt.f64 N)) 1/3)))
(/.f64 (/.f64 1/3 N) (*.f64 N N))
(/.f64 (/.f64 1/3 N) (/.f64 1 (pow.f64 N -2)))
(/.f64 (/.f64 1/3 N) (/.f64 (*.f64 N (neg.f64 N)) -1))
(/.f64 (pow.f64 N -2) (/.f64 N 1/3))
(/.f64 -1 (.f64 (neg.f64 N) (.f64 N (/.f64 N 1/3))))
(/.f64 -1 (.f64 (.f64 N (/.f64 N 1/3)) (neg.f64 N)))
(/.f64 -1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (neg.f64 N))))
(/.f64 -1 (/.f64 (neg.f64 N) (*.f64 1/3 (pow.f64 N -2))))
(/.f64 -1 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1/3 N)))
(/.f64 -1 (.f64 N (.f64 (*.f64 N (neg.f64 N)) 3)))
(/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N))))
(/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N)))
(/.f64 -1/3 (neg.f64 (pow.f64 N 3)))
(/.f64 -1/3 (/.f64 N (/.f64 1 (*.f64 N (neg.f64 N)))))
(/.f64 -1/3 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1 N)))
(/.f64 (sqrt.f64 -1/3) (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N)))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (/.f64 (*.f64 N N) (sqrt.f64 (/.f64 1/3 N))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N)))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (/.f64 (.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (/.f64 (.f64 N N) (cbrt.f64 (/.f64 1/3 N))))
(/.f64 (.f64 (/.f64 1 N) -1/3) (.f64 N (neg.f64 N)))
(/.f64 (.f64 (.f64 1/3 (pow.f64 N -2)) -1) (neg.f64 N))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 (.f64 N N) (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (.f64 (.f64 N N) (cbrt.f64 N)))
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/3 (.f64 (sqrt.f64 N) N)) (.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (.f64 (.f64 N (/.f64 N 1/3)) (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/3 N) (*.f64 (sqrt.f64 N) N)) (sqrt.f64 N))
(/.f64 (/.f64 1/3 (.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N N))) (cbrt.f64 N))
(/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (.f64 (/.f64 1/3 N) -1) (.f64 N (neg.f64 N)))
(/.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N))
(/.f64 (pow.f64 (sqrt.f64 N) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (sqrt.f64 N) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (cbrt.f64 N) -1)))
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))
(log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))

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 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1/3 (pow.f64 N 3)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (.f64 -1/2 (pow.f64 N -2)) 1 (.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (+.f64 (.f64 -1/2 (pow.f64 N -2)) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (.f64 -1/2 (pow.f64 N -2)) 1 (.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (+.f64 (.f64 -1/2 (pow.f64 N -2)) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (.f64 2 (fma.f64 (.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 2 (+.f64 (.f64 -1/2 (pow.f64 N -2)) (.f64 1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))))
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(/.f64 1 (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 (sqrt.f64 1/3) N)))
(.f64 (/.f64 1 (.f64 N (/.f64 N (sqrt.f64 1/3)))) (/.f64 (sqrt.f64 1/3) N))
(/.f64 1 (/.f64 N (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2)))
(/.f64 1 (/.f64 (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(.f64 (/.f64 1 (.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))
(.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (/.f64 (/.f64 1 N) (cbrt.f64 (.f64 N (/.f64 N 1/3)))))
(/.f64 1 (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 1 (.f64 (/.f64 N (sqrt.f64 1/3)) (.f64 N (sqrt.f64 (*.f64 N (/.f64 N 1/3))))))
(/.f64 (.f64 (/.f64 1 (.f64 N N)) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 N (/.f64 N 1/3))))
(/.f64 1 (.f64 (.f64 N N) (/.f64 N 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1 N) (*.f64 N (/.f64 N 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (.f64 (neg.f64 N) (.f64 N (neg.f64 N))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (.f64 (.f64 N (neg.f64 N)) (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (/.f64 (*.f64 N N) (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (*.f64 1/3 (pow.f64 N -2)) N)
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 (sqrt.f64 1/3) N) (*.f64 (/.f64 N (sqrt.f64 1/3)) N))
(/.f64 (sqrt.f64 1/3) (.f64 (/.f64 N (sqrt.f64 1/3)) (.f64 N N)))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N)
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 N -1/2)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 N -1/2) (/.f64 (.f64 N N) (.f64 (pow.f64 N -1/2) 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 N -1/2) (.f64 (.f64 N (/.f64 N 1/3)) (sqrt.f64 N)))
(/.f64 (pow.f64 N -1/2) (.f64 (sqrt.f64 N) (.f64 N (/.f64 N 1/3))))
(/.f64 (sqrt.f64 1/3) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 1 N)))
(/.f64 (sqrt.f64 1/3) (.f64 (/.f64 N (sqrt.f64 1/3)) (.f64 N N)))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N)
(/.f64 (sqrt.f64 1/3) (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) N))
(/.f64 (sqrt.f64 1/3) (.f64 (/.f64 N (sqrt.f64 1/3)) (.f64 N N)))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N)
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 N (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) N) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))
(.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) N))
(/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (/.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (cbrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (*.f64 N (/.f64 N (sqrt.f64 1/3)))) (cbrt.f64 (/.f64 (sqrt.f64 1/3) N)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/3) N)) (.f64 (/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (.f64 N N)) (sqrt.f64 1/3)))
(/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (/.f64 (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))) (cbrt.f64 (.f64 1/3 (pow.f64 N -2)))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3))))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))))
(.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (/.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))) (.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))))
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))))
(/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 (pow.f64 N -2))))
(/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 N (/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 N 1/3))))
(.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 1/3 (.f64 N (cbrt.f64 N))) N))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (cbrt.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (.f64 (/.f64 (.f64 N (/.f64 N 1/3)) 1) (cbrt.f64 N)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) N) (/.f64 1/3 (.f64 N (cbrt.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (.f64 N N) (.f64 (/.f64 1 (cbrt.f64 N)) 1/3)))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (.f64 (/.f64 (.f64 N (/.f64 N 1/3)) 1) (cbrt.f64 N)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) N) (/.f64 1/3 (.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1/3 N) (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 N) (/.f64 1 (pow.f64 N -2)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 N) (/.f64 (*.f64 N (neg.f64 N)) -1))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 N -2) (/.f64 N 1/3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (.f64 (neg.f64 N) (.f64 N (/.f64 N 1/3))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (.f64 (.f64 N (/.f64 N 1/3)) (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (neg.f64 N))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (/.f64 (neg.f64 N) (*.f64 1/3 (pow.f64 N -2))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1/3 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (.f64 N (.f64 (*.f64 N (neg.f64 N)) 3)))
(/.f64 -1 (*.f64 (neg.f64 (pow.f64 N 3)) 3))
(/.f64 -1 (*.f64 3 (neg.f64 (pow.f64 N 3))))
(/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (neg.f64 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (/.f64 N (/.f64 1 (*.f64 N (neg.f64 N)))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (sqrt.f64 -1/3) (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N)))))
(/.f64 (sqrt.f64 -1/3) (.f64 (/.f64 N (sqrt.f64 1/3)) (.f64 N (sqrt.f64 (*.f64 N (neg.f64 N))))))
(/.f64 (.f64 (/.f64 (sqrt.f64 -1/3) (.f64 N N)) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2))))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (.f64 N (/.f64 N (sqrt.f64 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/3 (pow.f64 N -2)))) (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 N N) (sqrt.f64 1/3))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(/.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (/.f64 (*.f64 N N) (sqrt.f64 (/.f64 1/3 N))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) (.f64 N N)) (sqrt.f64 (/.f64 1/3 N)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (.f64 (.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N)))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (.f64 (/.f64 N (sqrt.f64 1/3)) (.f64 N (sqrt.f64 N))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (.f64 (sqrt.f64 N) (/.f64 (.f64 N N) (sqrt.f64 1/3))))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 N (/.f64 N (sqrt.f64 1/3))) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 N (sqrt.f64 1/3))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) N))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (/.f64 (.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (/.f64 (.f64 N (cbrt.f64 (.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 N (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (.f64 N (/.f64 N 1/3)))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (/.f64 (.f64 N N) (cbrt.f64 (/.f64 1/3 N))))
(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (*.f64 N N)) (cbrt.f64 (/.f64 1/3 N)))
(.f64 (cbrt.f64 (/.f64 1/3 N)) (.f64 (/.f64 (cbrt.f64 (/.f64 1/3 N)) N) (/.f64 (cbrt.f64 (/.f64 1/3 N)) N)))
(/.f64 (.f64 (/.f64 1 N) -1/3) (.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (.f64 (.f64 1/3 (pow.f64 N -2)) -1) (neg.f64 N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 (.f64 N N) (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 N (.f64 N (sqrt.f64 N))))
(/.f64 1/3 (.f64 N (.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N)))))
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (.f64 (.f64 N N) (cbrt.f64 N)))
(/.f64 1/3 (.f64 (cbrt.f64 N) (.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 N) (.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 1/3 (.f64 (.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 1/3 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 1/3 (.f64 (sqrt.f64 N) N)) (.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 N (.f64 N (sqrt.f64 N))))
(/.f64 1/3 (.f64 N (.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N)))))
(/.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 1/3 (.f64 (cbrt.f64 N) (.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 N) (.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (.f64 (.f64 N (/.f64 N 1/3)) (cbrt.f64 N)))
(/.f64 1 (.f64 (.f64 N (*.f64 (/.f64 N 1/3) (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (/.f64 1/3 (*.f64 N (cbrt.f64 N))) N) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 1/3 N) (*.f64 (sqrt.f64 N) N)) (sqrt.f64 N))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 N (.f64 N (sqrt.f64 N))))
(/.f64 1/3 (.f64 N (.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N)))))
(/.f64 (/.f64 1/3 (.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N N))) (cbrt.f64 N))
(/.f64 1/3 (.f64 (cbrt.f64 N) (.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 N) (.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 1/3 (.f64 (.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 1/3 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (.f64 (/.f64 1/3 N) -1) (.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 (sqrt.f64 N) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (sqrt.f64 N) -1)))
(/.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (sqrt.f64 N))))
(/.f64 (/.f64 1 (sqrt.f64 N)) (.f64 (sqrt.f64 N) (.f64 N (/.f64 N 1/3))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (cbrt.f64 N) -1)))
(/.f64 1 (.f64 (.f64 N (*.f64 (/.f64 N 1/3) (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (/.f64 1/3 (*.f64 N (cbrt.f64 N))) N) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)
(.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) (.f64 N N)) (sqrt.f64 (/.f64 1/3 N)))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))
(/.f64 1/3 (pow.f64 N 3))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1))
(/.f64 1/3 (pow.f64 N 3))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series9.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	0	(-.f64 N (log.f64 N))
1.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`add-sqr-sqrt`
1366×	`*-un-lft-identity`
1276×	`add-cube-cbrt`
1262×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	125	11
2	1669	11

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-+r+`
1208×	`associate-r`
1052×	`associate-l`
1030×	`associate-+l+`
614×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	827
1	283	773
2	1110	773
3	5588	773

Stop Event

1×	node limit

Counts

47 → 47

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	0.7b	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`associate-/r*`
884×	`*-commutative`
748×	`unswap-sqr`
518×	`associate-/l*`
496×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	204	19
2	2856	19

Stop Event

1×	node limit

Counts

1 → 179

Calls

Call 1

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

Outputs

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

simplify142.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

880×	`associate-+r+`
838×	`associate-+l+`
806×	`+-commutative`
610×	`associate-r`
586×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	10087
1	1441	8851
2	6209	8441

Stop Event

1×	node limit

Counts

191 → 293

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

eval419.0ms (6.1%)

Compiler: Compiled 20840 to 15200 computations (27.1% saved)

prune187.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	850	5	855
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	854	7	861

Error

Counts

861 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.4b	(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)
▶	33.4b	(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
✓	31.9b	(/.f64 1 N)
▶	32.6b	(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
✓	30.7b	(neg.f64 (log.f64 N))
▶	0.0b	(log1p.f64 (/.f64 1 N))
	61.0b	N

Compiler

Compiled 49 to 33 computations (32.7% saved)

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(log1p.f64 (/.f64 1 N))
0.0ms	N	@	0	(log1p.f64 (/.f64 1 N))
0.0ms	N	@	-inf	(log1p.f64 (/.f64 1 N))

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`add-sqr-sqrt`
1144×	`*-un-lft-identity`
1080×	`pow1`
1060×	`add-cube-cbrt`
1048×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	135	11
2	1496	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))

Outputs

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-def`
878×	`associate-/r*`
830×	`*-commutative`
774×	`associate-*r/`
660×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	717
1	152	619
2	582	523
3	2222	515
4	5340	515

Stop Event

1×	node limit

Counts

27 → 47

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
✓	0.4b	(/.f64 1/3 N)
✓	0.7b	(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite97.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`associate-/l*`
976×	`associate-/r/`
878×	`associate-/l/`
290×	`add-sqr-sqrt`
272×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	283	65
2	4197	65

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 1/3 N)) (/.f64 1 (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 (sqrt.f64 N) N)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 (pow.f64 (cbrt.f64 N) 2) N)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 N (neg.f64 N))) (-.f64 1/2 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) N) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (*.f64 N N)) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 N (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) N))) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (pow.f64 N -2)) (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (+.f64 (/.f64 1/3 N) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (pow.f64 N -2)) (+.f64 1/8 (*.f64 1/27 (pow.f64 N -3)))) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (/.f64 1/6 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (pow.f64 N -2)) (-.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N))))) (-.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (pow.f64 N -2)) (+.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (-.f64 (*.f64 (+.f64 1/4 (/.f64 1/6 N)) 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simplify129.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

956×	`associate-+r+`
944×	`+-commutative`
770×	`associate-r`
642×	`associate-l`
586×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	483	9450
1	1494	8834
2	6916	8834

Stop Event

1×	node limit

Counts

190 → 276

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`add-sqr-sqrt`
1918×	`*-un-lft-identity`
1808×	`add-cube-cbrt`
1788×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	162	32
2	2339	32

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1390×	`times-frac`
1068×	`unswap-sqr`
1020×	`associate-/r*`
968×	`distribute-lft-in`
940×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2036
1	434	1964
2	2186	1730

Stop Event

1×	node limit

Counts

94 → 98

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 22 computations (42.1% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite108.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`*-commutative`
768×	`unswap-sqr`
686×	`swap-sqr`
476×	`distribute-lft-neg-in`
422×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	218	52
2	3664	52

Stop Event

1×	node limit

Counts

4 → 332

Calls

Call 1

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

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

simplify131.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1114×	`times-frac`
956×	`associate-/l*`
870×	`associate-/r*`
800×	`*-commutative`
786×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	672	8236
1	1833	7100
2	7726	7100

Stop Event

1×	node limit

Counts

380 → 419

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

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

eval319.0ms (4.6%)

Compiler: Compiled 16335 to 11408 computations (30.2% saved)

prune178.0ms (2.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	836	4	840
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	837	10	847

Error

Counts

847 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(/.f64 (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) N) N)
✓	33.4b	(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
	46.5b	(/.f64 (/.f64 N (/.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 N N))
	52.9b	(/.f64 (+.f64 (.f64 N (neg.f64 N)) (.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (.f64 N (.f64 N (neg.f64 N))))
	46.5b	(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
✓	31.9b	(/.f64 1 N)
✓	32.6b	(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
✓	30.7b	(neg.f64 (log.f64 N))
✓	0.0b	(log1p.f64 (/.f64 1 N))
	61.0b	N

Compiler

Compiled 97 to 63 computations (35.1% saved)

regimes32.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(/.f64 (/.f64 N (/.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 N N))
(+.f64 (/.f64 1 N) (-.f64 (.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(/.f64 (+.f64 (.f64 N (neg.f64 N)) (.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (.f64 N (.f64 N (neg.f64 N))))
(neg.f64 (log.f64 N))
(log1p.f64 (/.f64 1 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.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)))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)

Outputs
(log1p.f64 (/.f64 1 N))

Calls

2 calls:

23.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.0b	1	`N`
0.0b	1	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 209 to 125 computations (40.2% saved)

regimes15.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.7b	2	`N`

Compiler

Compiled 125 to 72 computations (42.4% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.02832668147350202	15046.84216863873

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 192 to 144 computations (25% saved)

regimes9.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) N) N)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
30.2b	1	`N`

Compiler

Compiled 122 to 70 computations (42.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -30.8b remaining (-96.5%)

Threshold costs -30.8b (-96.5%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
31.9b	1	`N`

Compiler

Compiled 34 to 20 computations (41.2% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	105
1	37	105
2	40	105
3	41	105

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5314247560297185/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))))
(/.f64 (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) N) N)
(/.f64 1 N)
N

Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5314247560297185/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))))
(if (<=.f64 N 5314247560297185/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N))))
(/.f64 (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) N) N)
(/.f64 1 N)
N

Compiler

Compiled 44 to 31 computations (29.5% saved)

soundness215.0ms (3.1%)

Algorithm

3×	egg-herbie

Rules

900×	`fma-def`
878×	`associate-/r*`
830×	`*-commutative`
796×	`distribute-lft-in`
774×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15
0	172	1609
1	424	1559
2	1712	1547
3	6886	1547
0	63	717
1	152	619
2	582	523
3	2222	515
4	5340	515

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 154 to 123 computations (20.1% saved)

end79.0ms (1.1%)

Compiler: Compiled 40 to 27 computations (32.5% saved)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15

Details

analyze3.0ms (0%)

sample1.7s (24.9%)

preprocess11.0ms (0.2%)

simplify19.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite56.0ms (0.8%)

simplify66.0ms (1%)

eval15.0ms (0.2%)

prune13.0ms (0.2%)

localize8.0ms (0.1%)

series127.0ms (1.8%)

rewrite226.0ms (3.3%)

simplify68.0ms (1%)

localize2.0ms (0%)

localize4.0ms (0.1%)

localize160.0ms (2.3%)

series3.0ms (0%)

rewrite437.0ms (6.3%)

simplify322.0ms (4.6%)

localize10.0ms (0.1%)

series8.0ms (0.1%)

rewrite64.0ms (0.9%)

simplify87.0ms (1.3%)

eval392.0ms (5.7%)

prune136.0ms (2%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite51.0ms (0.7%)

simplify55.0ms (0.8%)

localize20.0ms (0.3%)

series1.0ms (0%)

rewrite97.0ms (1.4%)

simplify108.0ms (1.6%)

localize5.0ms (0.1%)

series9.0ms (0.1%)

rewrite52.0ms (0.8%)

simplify59.0ms (0.8%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite83.0ms (1.2%)

simplify142.0ms (2.1%)

eval419.0ms (6.1%)

prune187.0ms (2.7%)

localize20.0ms (0.3%)

series0.0ms (0%)

rewrite66.0ms (1%)

simplify57.0ms (0.8%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite97.0ms (1.4%)

simplify129.0ms (1.9%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite64.0ms (0.9%)

simplify54.0ms (0.8%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite108.0ms (1.6%)

simplify131.0ms (1.9%)

eval319.0ms (4.6%)

prune178.0ms (2.6%)

regimes32.0ms (0.5%)

regimes15.0ms (0.2%)

bsearch19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

simplify16.0ms (0.2%)

soundness215.0ms (3.1%)

end79.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15