Details

analyze2.0ms (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)

sample2.0s (23.3%)

Results

929.0ms	4874×	body	256	valid
676.0ms	2096×	body	1024	valid
240.0ms	1039×	body	512	valid
117.0ms	247×	body	2048	valid

Bogosity

preprocess10.0ms (0.1%)

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)

simplify20.0ms (0.2%)

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

26.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.1b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 N)
✓	3.2b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 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))
0.0ms	N	@	-inf	(log1p.f64 N)
0.0ms	N	@	0	(log1p.f64 N)

rewrite63.0ms (0.7%)

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	20
1	144	20
2	1867	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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)))))))

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

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-+l-`
1166×	`associate-+r-`
948×	`+-commutative`
722×	`unswap-sqr`
480×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2126
1	457	1898
2	1869	1792
3	6477	1792

Stop Event

1×	node limit

Counts

76 → 128

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

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

eval27.0ms (0.3%)

Compiler: Compiled 1720 to 924 computations (46.3% saved)

prune24.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	118	10	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	11	129

Error

0.1b

Counts

129 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.9b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
	26.3b	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
▶	34.2b	(/.f64 1 N)
	35.6b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	35.0b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
	35.5b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/4 (pow.f64 N 4))))
✓	26.1b	(-.f64 (log1p.f64 N) (log.f64 N))
	28.0b	(-.f64 N (log.f64 N))
	61.7b	(+.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)))
▶	28.8b	(neg.f64 (log.f64 N))
▶	25.9b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 244 to 164 computations (32.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 N 1) N)
✓	3.1b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (0.7%)

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)))))))

simplify66.0ms (0.8%)

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))

localize3.0ms (0%)

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

localize4.0ms (0%)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
✓	0.1b	(/.f64 1/3 (pow.f64 N 3))
✓	0.4b	(/.f64 1/2 (*.f64 N N))
✓	13.6b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))

Compiler

Compiled 49 to 33 computations (32.7% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite119.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`distribute-lft-in`
816×	`associate-/r/`
798×	`associate-/l*`
476×	`associate-/l/`
402×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	331	86
2	4723	86

Stop Event

1×	node limit

Counts

4 → 284

Calls

Call 1

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

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

simplify149.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-r`
926×	`associate-/r*`
834×	`associate-l`
828×	`*-commutative`
748×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	769	20888
1	2386	20186

Stop Event

1×	node limit

Counts

320 → 496

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 1 N) (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 1))
(+.f64 (/.f64 1 N) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 1) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1 N) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 1) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1 N) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 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 1 N) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 (pow.f64 N -2) -1/2)) 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 1 N) (.f64 1 (.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (.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 (/.f64 1 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 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (.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 (/.f64 1 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 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (.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 (/.f64 1 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 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (.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)) (+.f64 (-.f64 (/.f64 1 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 1/3 (pow.f64 N 3)) (.f64 1 (+.f64 (/.f64 1 N) (.f64 (pow.f64 N -2) -1/2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (.f64 1 (-.f64 (/.f64 1 N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.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 (fma.f64 1/3 (pow.f64 N -3) (/.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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (+.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 (fma.f64 1/3 (pow.f64 N -3) (/.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 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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)))))
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(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1)
(*.f64 1 (/.f64 1/3 (pow.f64 N 3)))
(.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N)))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (pow.f64 N -2) (/.f64 1/3 N))
(*.f64 (pow.f64 N -3) 1/3)
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (/.f64 1 (pow.f64 N 3/2)) (/.f64 1/3 (pow.f64 N 3/2)))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 N 3))) -1/3)
(.f64 (/.f64 (/.f64 1/3 (.f64 N N)) 1) (/.f64 1 N))
(.f64 (/.f64 (/.f64 1/3 (.f64 N N)) (sqrt.f64 N)) (pow.f64 N -1/2))
(.f64 (/.f64 (/.f64 1/3 (.f64 N N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(.f64 (/.f64 (/.f64 1/3 (.f64 N N)) (neg.f64 N)) -1)
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (*.f64 3 (pow.f64 N 3)) -1)
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) (-.f64 1 (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) (-.f64 1 (/.f64 1 N)))
(-.f64 (/.f64 (pow.f64 N -2) (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3)))) (/.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3)))))
(-.f64 (+.f64 (/.f64 1 N) (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))) 1)
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (/.f64 1 (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3)))))
(.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))))
(.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3)) (/.f64 1 (pow.f64 N 4)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3)))) (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))
(.f64 (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))) (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))
(.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (pow.f64 N 3) (.f64 N 1/3)))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (/.f64 1/3 (pow.f64 N 4))))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (pow.f64 N 3) (.f64 N 1/3))) (pow.f64 N 4))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (.f64 3 (pow.f64 N 3)) N)) (.f64 N (.f64 3 (pow.f64 N 3))))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (neg.f64 (pow.f64 N 3)) (.f64 N -1/3))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (.f64 -1 (.f64 3 (pow.f64 N 3))) (.f64 (neg.f64 N) 1))) (.f64 (neg.f64 N) (.f64 3 (pow.f64 N 3))))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (neg.f64 (pow.f64 N 3)) (.f64 (neg.f64 N) 1/3))) (*.f64 (neg.f64 N) (pow.f64 N 3)))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (.f64 -1 (neg.f64 (pow.f64 N 3))) (.f64 (neg.f64 N) -1/3))) (.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(.f64 (/.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (-.f64 (.f64 (pow.f64 N -2) (pow.f64 N -2)) (.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))))) (+.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (/.f64 1/3 (pow.f64 N 4))))
(.f64 (/.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 N -2) (pow.f64 N -2)) (.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))))))
(/.f64 1 (/.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(/.f64 N (/.f64 (pow.f64 N 4) (+.f64 1/3 (*.f64 N N))))
(/.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (/.f64 (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3)))))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))))
(/.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))))
(/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 4))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (sqrt.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3))) (cbrt.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3)))) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))) (/.f64 (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (/.f64 N (/.f64 N (+.f64 1/3 (*.f64 N N)))) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 (pow.f64 N -3) (pow.f64 N -3)) (.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))
(/.f64 (-.f64 (pow.f64 N 6) (.f64 (.f64 N 1/3) (.f64 N 1/3))) (.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 3) (*.f64 N 1/3))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 N -2)) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(/.f64 (-.f64 (.f64 (pow.f64 N -2) (pow.f64 N -2)) (.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/9 (pow.f64 N 6)))) (.f64 (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3))) (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 3) (pow.f64 (pow.f64 N -3) 3)) (.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (.f64 (pow.f64 N -3) (pow.f64 N -3)) (-.f64 (.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (.f64 (pow.f64 N -3) (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (.f64 N 1/3) 3)) (.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 6) (-.f64 (.f64 (.f64 N 1/3) (.f64 N 1/3)) (.f64 (pow.f64 N 3) (*.f64 N 1/3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 1/9 (pow.f64 N 6)) 3)) (.f64 (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3))) (+.f64 (.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/9 (pow.f64 N 6))) (*.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))))
(/.f64 (+.f64 N (.f64 3 (pow.f64 N 3))) (.f64 N (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (.f64 N -1/3)) (.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (.f64 -1 (.f64 3 (pow.f64 N 3))) (.f64 (neg.f64 N) 1)) (.f64 (neg.f64 N) (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (.f64 (neg.f64 N) 1/3)) (.f64 (neg.f64 N) (pow.f64 N 3)))
(/.f64 (+.f64 (.f64 -1 (neg.f64 (pow.f64 N 3))) (.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 N (.f64 (.f64 3 (pow.f64 N 3)) 1)) (.f64 (.f64 3 (pow.f64 N 3)) N))
(/.f64 (+.f64 (neg.f64 N) (.f64 (.f64 3 (pow.f64 N 3)) -1)) (.f64 (.f64 3 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (+.f64 (.f64 1/3 (neg.f64 N)) (.f64 (pow.f64 N 3) -1)) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (+.f64 (.f64 -1/3 N) (.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (+.f64 (.f64 -1/3 (neg.f64 N)) (.f64 (neg.f64 (pow.f64 N 3)) -1)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3))) (neg.f64 (pow.f64 N 4)))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.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 (.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)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (.f64 (pow.f64 N 3) 1/27)) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (-.f64 (.f64 N (.f64 1/9 N)) (.f64 1/3 (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 1/9 (pow.f64 N 6)) 3)) (.f64 (+.f64 (/.f64 1 N) (.f64 -1/3 (pow.f64 N -3))) (+.f64 (.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/9 (pow.f64 N 6))) (*.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (/.f64 1/729 (pow.f64 (pow.f64 N 6) 3))) (.f64 (+.f64 (/.f64 1 N) (.f64 (pow.f64 N -3) -1/3)) (+.f64 (pow.f64 N -4) (*.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (/.f64 1/729 (pow.f64 (pow.f64 N 6) 3))) (+.f64 (/.f64 1 N) (.f64 (pow.f64 N -3) -1/3))) (+.f64 (pow.f64 N -4) (.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (+.f64 N (.f64 3 (pow.f64 N 3))) (.f64 N (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 N (.f64 3 (pow.f64 N 3))) (.f64 3 (pow.f64 N 4)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (.f64 N -1/3)) (.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (.f64 -1 (.f64 3 (pow.f64 N 3))) (.f64 (neg.f64 N) 1)) (.f64 (neg.f64 N) (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 (neg.f64 N) (.f64 -3 (pow.f64 N 3))) (.f64 3 (*.f64 (pow.f64 N 3) (neg.f64 N))))
(/.f64 (+.f64 (neg.f64 N) (.f64 (pow.f64 N 3) -3)) (.f64 3 (neg.f64 (pow.f64 N 4))))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (.f64 (neg.f64 N) 1/3)) (.f64 (neg.f64 N) (pow.f64 N 3)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (.f64 -1 (neg.f64 (pow.f64 N 3))) (.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 (neg.f64 N) (neg.f64 (neg.f64 (pow.f64 N 3)))) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (.f64 1/3 N) (.f64 (pow.f64 N 3) 1)) (neg.f64 (neg.f64 (pow.f64 N 4))))
(/.f64 (+.f64 N (.f64 (.f64 3 (pow.f64 N 3)) 1)) (.f64 (.f64 3 (pow.f64 N 3)) N))
(/.f64 (+.f64 N (.f64 3 (pow.f64 N 3))) (.f64 N (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 N (.f64 3 (pow.f64 N 3))) (.f64 3 (pow.f64 N 4)))
(/.f64 (+.f64 (neg.f64 N) (.f64 (.f64 3 (pow.f64 N 3)) -1)) (.f64 (.f64 3 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (+.f64 (neg.f64 N) (.f64 -3 (pow.f64 N 3))) (.f64 3 (*.f64 (pow.f64 N 3) (neg.f64 N))))
(/.f64 (+.f64 (neg.f64 N) (.f64 (pow.f64 N 3) -3)) (.f64 3 (neg.f64 (pow.f64 N 4))))
(/.f64 (+.f64 (.f64 1/3 (neg.f64 N)) (.f64 (pow.f64 N 3) -1)) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (.f64 -1/3 N) (.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (.f64 -1/3 (neg.f64 N)) (.f64 (neg.f64 (pow.f64 N 3)) -1)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 (neg.f64 N) (neg.f64 (neg.f64 (pow.f64 N 3)))) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (.f64 1/3 N) (.f64 (pow.f64 N 3) 1)) (neg.f64 (neg.f64 (pow.f64 N 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -3) -1/3))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 N -2)) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -3) -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (neg.f64 (-.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 3)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) 1/3)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 1))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 1 N))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2) (/.f64 1 N))
(+.f64 (/.f64 1 N) (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 1 N))
(+.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 3) (/.f64 1 N))
(+.f64 (/.f64 1 N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 3))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 N)
✓	0.4b	(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
✓	1.1b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
	3.2b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite102.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`*-commutative`
788×	`unswap-sqr`
618×	`associate-*r/`
498×	`distribute-lft-in`
484×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	244	36
2	2641	36

Stop Event

1×	node limit

Counts

2 → 265

Calls

Call 1

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

Outputs

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

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-r`
1144×	`associate-/l*`
1138×	`associate-l`
726×	`*-commutative`
670×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	770	22235
1	2304	21115

Stop Event

1×	node limit

Counts

289 → 475

Calls

Call 1

Inputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) N))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))))))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (.f64 1/3 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 7/4 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.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 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (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)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.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)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (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)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.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 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 1 (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)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (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)) (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) 1))
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(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))) (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))))) (-.f64 (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))

Outputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))) (.f64 (.f64 1/3 N) (.f64 (pow.f64 (log.f64 N) 2) 3))))
(+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (+.f64 (.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (+.f64 (.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (.f64 (/.f64 (.f64 N N) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 N))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) -1/3))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (.f64 1/3 (/.f64 (.f64 (pow.f64 N 2) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)) (/.f64 (+.f64 1 (-.f64 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (.f64 (neg.f64 (log.f64 N)) (fma.f64 -2/3 (log.f64 N) -1)))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (+.f64 (.f64 (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (/.f64 (.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 N 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (-.f64 (fma.f64 2 (log.f64 N) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (.f64 (fma.f64 -2/3 (log.f64 N) -1) (neg.f64 (log.f64 N))))) (fma.f64 2/3 (.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 N))) (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 2)) -1/3)) (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 N) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) 3) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))) (fma.f64 (log.f64 N) (cbrt.f64 -1) (.f64 1/3 (+.f64 (.f64 N (.f64 (.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (.f64 (/.f64 (.f64 N N) (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 N))) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) 3) 2)) -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 (/.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 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 1/2 (*.f64 N N)))
(*.f64 -1 (/.f64 (cbrt.f64 -1) N))
(neg.f64 (/.f64 (cbrt.f64 -1) N))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))
(fma.f64 -1/2 (.f64 (/.f64 1 (.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (neg.f64 (/.f64 (cbrt.f64 -1) N)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) N)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1/2 (.f64 N N))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 -1/2 (.f64 (/.f64 1 (.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) N) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1/2 (.f64 N N))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) N) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) N)) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/2 (.f64 (/.f64 1 (.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 15/8)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 4))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) N) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3)))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1/2 (.f64 N N))) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 15/8)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 4))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) N) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3)))))))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(pow.f64 (neg.f64 (log.f64 N)) 3)
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (.f64 N (.f64 3 (pow.f64 (log.f64 N) 2))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (.f64 N (.f64 (pow.f64 (log.f64 N) 2) 3)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (.f64 -2 (log.f64 N))))) (.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (.f64 2 (pow.f64 (log.f64 N) 2))))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 (.f64 N N) (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (.f64 (log.f64 N) -2))) (.f64 N (*.f64 (pow.f64 (log.f64 N) 2) 3))))
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(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1) (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (-.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (cbrt.f64 (+.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)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (.f64 (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))) (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))))) (-.f64 (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (.f64 (.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))) (-.f64 (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (/.f64 (-.f64 (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (-.f64 (.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 3))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)

eval745.0ms (8.8%)

Compiler: Compiled 34652 to 21634 computations (37.6% saved)

prune339.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1202	4	1206
Fresh	3	2	5
Picked	1	0	1
Done	3	2	5
Total	1209	8	1217

Error

Counts

1217 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	58.0b	(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3)) (.f64 N (neg.f64 N))) (.f64 (pow.f64 N 4) -1/2)) (.f64 (pow.f64 N 4) (.f64 N (neg.f64 N))))
✓	34.2b	(/.f64 1 N)
▶	35.6b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	35.0b	(-.f64 (+.f64 (/.f64 1 N) (.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N)))) (/.f64 1/2 (*.f64 N N)))
▶	55.1b	(-.f64 (.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N))) (/.f64 1/2 (*.f64 N N)))
▶	28.0b	(-.f64 N (log.f64 N))
✓	28.8b	(neg.f64 (log.f64 N))
▶	0.0b	(log1p.f64 (+.f64 (/.f64 1 N) 0))

Compiler

Compiled 184 to 122 computations (33.7% saved)

localize9.0ms (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))

rewrite52.0ms (0.6%)

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))))))))

simplify56.0ms (0.7%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	0.2b	(/.f64 (/.f64 1/2 N) N)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite116.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`associate-/l*`
1010×	`*-commutative`
676×	`associate-/r/`
504×	`associate-/l/`
480×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	206	32
2	2953	32

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

Outputs

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

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

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-+r+`
836×	`associate-+l+`
796×	`+-commutative`
718×	`fma-def`
560×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	9791
1	1444	7993
2	6320	7993

Stop Event

1×	node limit

Counts

221 → 315

Calls

Call 1

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

Outputs
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (*.f64 N N))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (.f64 1/2 (pow.f64 N -2)) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 1 (.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 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (pow.f64 N -1/2) (.f64 (/.f64 1/2 N) (pow.f64 N -1/2)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/2 (sqrt.f64 N)) N))
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))
(*.f64 (sqrt.f64 (/.f64 1/2 N)) (/.f64 (sqrt.f64 (/.f64 1/2 N)) N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(.f64 (/.f64 1 (cbrt.f64 N)) (.f64 (/.f64 1/2 N) (cbrt.f64 (pow.f64 N -2))))
(.f64 (/.f64 1/2 N) (.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))))
(.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1/2 (.f64 N (cbrt.f64 N))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1/2 N))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) (/.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) 1/2)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (.f64 -1/2 (pow.f64 N -2)) -1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 -1/2 N) (/.f64 -1 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (.f64 (/.f64 1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (.f64 (/.f64 1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(.f64 (/.f64 1/2 N) (.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))))
(.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1/2 (.f64 N (cbrt.f64 N))))
(.f64 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1/2 N))) (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 N)) N) (pow.f64 N -1/2))
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))
(*.f64 (/.f64 (/.f64 1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (.f64 N (cbrt.f64 N))))
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/2 (.f64 N (cbrt.f64 N))))
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(.f64 (/.f64 1/2 (.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 -1 N) (/.f64 -1/2 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (pow.f64 N -1/2) N) (/.f64 1/2 (sqrt.f64 N)))
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))
(.f64 (/.f64 1 (.f64 N (cbrt.f64 N))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 N)) N) (sqrt.f64 (/.f64 1/2 N)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.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 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 N)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 1/2 N)) N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 N)) N) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) 1))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.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 1/2 (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 N)) (sqrt.f64 N)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) (sqrt.f64 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 1/2 (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (.f64 1/2 (pow.f64 N -2))))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) (/.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (/.f64 (/.f64 1 N) 1) (/.f64 1/2 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/2 (cbrt.f64 N)))
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) N) (cbrt.f64 (/.f64 1/2 N)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 (/.f64 1 N) (neg.f64 N)) -1/2)
(.f64 -1/2 (/.f64 1 (.f64 N (neg.f64 N))))
(/.f64 -1/2 (*.f64 N (neg.f64 N)))
(*.f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2))) (cbrt.f64 (/.f64 1/2 N)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (.f64 N (.f64 N 2)) -1)
(/.f64 1 (.f64 N (.f64 N 2)))
(/.f64 N (*.f64 (pow.f64 N 3) 2))
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(neg.f64 (*.f64 -1/2 (pow.f64 N -2)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(sqrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))
(sqrt.f64 (*.f64 (pow.f64 N -4) 1/4))
(log.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2) 3)) (.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (pow.f64 N -2))) (+.f64 (pow.f64 N -4) (.f64 (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2) (.f64 (pow.f64 N -2) (+.f64 1 (*.f64 (pow.f64 N -2) 1/4)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (.f64 (pow.f64 N -4) 1/4) 3)) (.f64 (-.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (fma.f64 (.f64 (pow.f64 N -4) 1/4) (+.f64 (pow.f64 N -2) (.f64 (pow.f64 N -4) 1/4)) (pow.f64 N -4))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 1/2 N) 3)) (.f64 N (+.f64 1 (.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/2 N) 1)))))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/8 (pow.f64 N 3))) N) (+.f64 1 (*.f64 (/.f64 1/2 N) (+.f64 1 (/.f64 1/2 N)))))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (fma.f64 (/.f64 1/2 N) (+.f64 1 (/.f64 1/2 N)) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 1/8 (pow.f64 (.f64 N N) 3)) 3)) (.f64 (+.f64 (pow.f64 N -2) (.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))) (+.f64 (.f64 (pow.f64 N -3) (pow.f64 N -3)) (.f64 (/.f64 1/8 (pow.f64 (.f64 N N) 3)) (+.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -3) 3) (/.f64 1/512 (pow.f64 (pow.f64 (.f64 N N) 3) 3))) (+.f64 (pow.f64 N -2) (.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 1 (/.f64 1/2 N))))) (+.f64 (pow.f64 N -6) (.f64 (/.f64 1/8 (pow.f64 (.f64 N N) 3)) (+.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) (pow.f64 N -3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (/.f64 -1/512 (pow.f64 (pow.f64 N 6) 3))) (fma.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 1 (/.f64 1/2 N)) (pow.f64 N -2))) (fma.f64 (/.f64 1/8 (pow.f64 N 6)) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (pow.f64 N -6)))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(*.f64 (/.f64 N (pow.f64 N 3)) (+.f64 N -1/2))
(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2))
(/.f64 (+.f64 (neg.f64 (.f64 N N)) (.f64 1/2 N)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (.f64 N (neg.f64 N)) (.f64 1/2 N)) (neg.f64 (pow.f64 N 3)))
(/.f64 (*.f64 N (-.f64 1/2 N)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (.f64 N (.f64 N -2)) N) (neg.f64 (.f64 N (.f64 N (*.f64 N 2)))))
(/.f64 (fma.f64 N (.f64 N -2) N) (.f64 (neg.f64 N) (.f64 N (.f64 N 2))))
(/.f64 (fma.f64 N (.f64 N -2) N) (neg.f64 (.f64 (pow.f64 N 3) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (neg.f64 (pow.f64 N -2))) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N)))
(/.f64 (-.f64 (*.f64 (pow.f64 N -4) 1/4) (pow.f64 N -2)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N -3)) (/.f64 1/8 (pow.f64 (.f64 N N) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 (.f64 N N) 3)) (neg.f64 (pow.f64 N -3))) (neg.f64 (+.f64 (pow.f64 N -2) (.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 1 (/.f64 1/2 N))))))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (-.f64 (*.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 -1/2 (pow.f64 N 3))) (pow.f64 N -2)))
(/.f64 (-.f64 -1 (/.f64 -1/2 N)) (neg.f64 N))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N))
(/.f64 (+.f64 (neg.f64 N) (/.f64 N (.f64 N 2))) (neg.f64 (.f64 N N)))
(/.f64 (+.f64 (neg.f64 N) (/.f64 N (.f64 N 2))) (.f64 N (neg.f64 N)))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 -1/2 N)) (neg.f64 N))
(neg.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (neg.f64 (pow.f64 N -2))) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N)))
(/.f64 (-.f64 (*.f64 (pow.f64 N -4) 1/4) (pow.f64 N -2)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N)))
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (.f64 N N) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (.f64 N N) 3)))) (neg.f64 (+.f64 (pow.f64 N -2) (.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 1 (/.f64 1/2 N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))) (-.f64 (*.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 -1/2 (pow.f64 N 3))) (pow.f64 N -2)))
(neg.f64 (/.f64 (+.f64 N (.f64 N (/.f64 -1/2 N))) (neg.f64 (.f64 N N))))
(/.f64 (neg.f64 (+.f64 N (.f64 N (/.f64 -1/2 N)))) (.f64 N (neg.f64 N)))
(/.f64 (neg.f64 (fma.f64 N (/.f64 -1/2 N) 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 N) (/.f64 1/2 (*.f64 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 N) (/.f64 1/2 (*.f64 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 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 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 N) (/.f64 1/2 (*.f64 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 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 (/.f64 -1/2 N) N))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N)))
	0.4b	(/.f64 1/2 (*.f64 N N))
✓	0.4b	(/.f64 1/3 (*.f64 N N))
✓	13.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N)))) (/.f64 1/2 (*.f64 N N)))

Compiler

Compiled 62 to 35 computations (43.5% 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 (/.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 (/.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 (/.f64 1 N) (/.f64 1/3 (.f64 N N)))) (/.f64 1/2 (*.f64 N N)))

rewrite128.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-/l*`
906×	`associate-/r/`
800×	`associate-/l/`
452×	`associate-+l+`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	305	63
2	4588	63

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

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

simplify149.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-/r*`
852×	`associate-r`
676×	`associate-/l*`
642×	`*-commutative`
602×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	636	16641
1	1913	16007

Stop Event

1×	node limit

Counts

273 → 393

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (.f64 (pow.f64 N -2) -1/2)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (.f64 1/2 (pow.f64 N -2))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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 (/.f64 1 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 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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 (/.f64 1 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 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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 (/.f64 1 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 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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)) (+.f64 (-.f64 (/.f64 1 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 N) (.f64 1/3 (pow.f64 N -3))) (.f64 (pow.f64 N -2) -1/2))
(+.f64 (+.f64 (/.f64 1 N) (.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 (/.f64 1 N) (.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 (/.f64 1 N) (.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 (/.f64 1 N) (.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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)))))
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(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 (/.f64 1/3 N) -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 N) (/.f64 (+.f64 (/.f64 1/3 N) -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 N) (/.f64 (+.f64 (/.f64 1/3 N) -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 N) (/.f64 (+.f64 (/.f64 1/3 N) -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 (/.f64 1/3 N) -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 N) (/.f64 (+.f64 (/.f64 1/3 N) -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 (/.f64 1/3 N) -1/2) (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (.f64 (pow.f64 N -2) -1/2)))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (.f64 1/2 (pow.f64 N -2))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (.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 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3))) (.f64 (pow.f64 N -2) -1/2))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (+.f64 (/.f64 1 N) (.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (+.f64 (/.f64 1 N) (.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (+.f64 (/.f64 1 N) (.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) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (+.f64 (/.f64 1 N) (.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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N)) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N))) (.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N)) (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N))) (.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (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 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 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 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 (/.f64 1/3 N) -1/2) (.f64 N N)) (+.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 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N))) (.f64 2 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N)) (.f64 2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N))) (.f64 2 (fma.f64 (.f64 (pow.f64 N -2) -1/2) 1 (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N)) (.f64 2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 N N))) (+.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 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 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 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N)) (+.f64 (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)))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 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 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 N N)) (+.f64 (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)))) (.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (.f64 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)))))
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(.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) (.f64 N (/.f64 N 1/3))) (cbrt.f64 (pow.f64 N -2)))
(.f64 (/.f64 1/3 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N -2)) (.f64 N N)))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (cbrt.f64 N))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) (.f64 N (/.f64 N 1/3))) (cbrt.f64 (pow.f64 N -2)))
(.f64 (/.f64 1/3 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N -2)) (.f64 N N)))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (.f64 N N) (.f64 (/.f64 1 (cbrt.f64 N)) 1/3)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) (.f64 N (/.f64 N 1/3))) (cbrt.f64 (pow.f64 N -2)))
(.f64 (/.f64 1/3 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N -2)) (.f64 N N)))
(/.f64 (/.f64 1/3 N) (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 N) (/.f64 N (/.f64 1 N)))
(/.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 (/.f64 N (pow.f64 N -2)))
(*.f64 1/3 (/.f64 (pow.f64 N -2) N))
(/.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 (/.f64 N (pow.f64 N -2)))
(*.f64 1/3 (/.f64 (pow.f64 N -2) N))
(/.f64 -1 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1/3 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (.f64 N (neg.f64 (.f64 N (/.f64 N 1/3)))))
(/.f64 1/3 (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 (neg.f64 N) (.f64 N 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 (.f64 (.f64 N (neg.f64 N)) 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 (/.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 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (.f64 N (/.f64 N (sqrt.f64 1/3)))) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (.f64 N (/.f64 N (sqrt.f64 1/3)))))
(/.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 (/.f64 N (sqrt.f64 1/3))) (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 (/.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 (/.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 N)) (*.f64 N (/.f64 N (sqrt.f64 1/3))))
(/.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 N (/.f64 N (sqrt.f64 1/3)))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (/.f64 N (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))) (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 1/3 (pow.f64 N -2))))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) N) (.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (sqrt.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 (cbrt.f64 (/.f64 1/3 N)) (/.f64 (/.f64 N (/.f64 (cbrt.f64 (/.f64 1/3 N)) N)) (cbrt.f64 (/.f64 1/3 N))))
(.f64 (cbrt.f64 (/.f64 1/3 N)) (/.f64 (cbrt.f64 (/.f64 1/3 N)) (/.f64 (.f64 N N) (cbrt.f64 (/.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 1/3 (pow.f64 N -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(.f64 (/.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 N (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(.f64 (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 N (cbrt.f64 (.f64 1/3 (pow.f64 N -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))))
(/.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 (/.f64 N (pow.f64 N -2)))
(*.f64 1/3 (/.f64 (pow.f64 N -2) N))
(/.f64 (.f64 -1 (.f64 1/3 (pow.f64 N -2))) (neg.f64 N))
(/.f64 1/3 (/.f64 N (pow.f64 N -2)))
(*.f64 1/3 (/.f64 (pow.f64 N -2) N))
(/.f64 (.f64 -1/3 (/.f64 1 N)) (.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 1/3 (.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N (cbrt.f64 (pow.f64 N 4)))))
(/.f64 1/3 (.f64 N (.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)))))
(/.f64 (/.f64 (/.f64 1/3 N) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 (.f64 N N) (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (.f64 (pow.f64 (cbrt.f64 N) 2) N)) (.f64 N (cbrt.f64 N)))
(/.f64 1/3 (.f64 (.f64 N (cbrt.f64 N)) (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (.f64 N (.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 (cbrt.f64 N) (*.f64 N (/.f64 N 1/3))) (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 (/.f64 1/3 N) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 (.f64 N 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 (.f64 N (cbrt.f64 N)) (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (.f64 N (.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 (pow.f64 (cbrt.f64 N) 2) (.f64 N (cbrt.f64 (pow.f64 N 4)))))
(/.f64 1/3 (.f64 N (.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)))))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (.f64 (.f64 N N) (sqrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/3 N) (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 (.f64 N (cbrt.f64 N)) (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (.f64 N (.f64 N (cbrt.f64 N))))
(/.f64 (neg.f64 (*.f64 1/3 (pow.f64 N -2))) (neg.f64 N))
(/.f64 1/3 (/.f64 N (pow.f64 N -2)))
(*.f64 1/3 (/.f64 (pow.f64 N -2) N))
(/.f64 (.f64 -1 (/.f64 1/3 N)) (.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.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 (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 N (/.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 N 1/3))))
(/.f64 1 (.f64 (.f64 N (*.f64 (sqrt.f64 N) (/.f64 N 1/3))) (sqrt.f64 N)))
(/.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 (cbrt.f64 N) (*.f64 N (/.f64 N 1/3))) (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)
(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))

localize24.0ms (0.3%)

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)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(-.f64 N (log.f64 N))
2.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite53.0ms (0.6%)

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)))))))

simplify57.0ms (0.7%)

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))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/2 (*.f64 N N))
✓	4.9b	(/.f64 N (pow.f64 N 4))
✓	13.6b	(-.f64 (.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N))) (/.f64 1/2 (*.f64 N N)))
✓	17.7b	(.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N)))

Compiler

Compiled 54 to 29 computations (46.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N)))
0.0ms	N	@	inf	(.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N)))
0.0ms	N	@	-inf	(/.f64 N (pow.f64 N 4))
0.0ms	N	@	-inf	(.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N)))
0.0ms	N	@	0	(-.f64 (.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N))) (/.f64 1/2 (*.f64 N N)))

rewrite111.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`associate-/l*`
974×	`distribute-lft-in`
528×	`associate-/r/`
420×	`associate-/l/`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	315	63
2	4501	63

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

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

Outputs

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

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

simplify137.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-r`
860×	`associate-l`
782×	`associate-/l*`
760×	`associate-/r*`
644×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	683	17003
1	1984	16381

Stop Event

1×	node limit

Counts

293 → 426

Calls

Call 1

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

Outputs
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 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 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 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 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 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 (/.f64 -1/2 N) N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (.f64 (pow.f64 N -3) (.f64 N N)))
(fma.f64 (pow.f64 N -3) (*.f64 N N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 (pow.f64 N -3) (.f64 N N)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -3) (*.f64 N N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 (/.f64 1/3 (pow.f64 N 3)) 1) (.f64 (.f64 (pow.f64 N -3) (.f64 N N)) 1))
(fma.f64 (pow.f64 N -3) (*.f64 N N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 (.f64 (pow.f64 N -3) (.f64 N N)) 1) (.f64 (/.f64 1/3 (pow.f64 N 3)) 1))
(fma.f64 (pow.f64 N -3) (*.f64 N N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 1 (.f64 (/.f64 1/3 (pow.f64 N 3)) 1)) (.f64 1 (.f64 (.f64 (pow.f64 N -3) (.f64 N N)) 1)))
(fma.f64 (pow.f64 N -3) (*.f64 N N) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (fma.f64 N N 1/3)))) 1)
(*.f64 (pow.f64 N -3) (fma.f64 N N 1/3))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 N (/.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)) 1))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 N (/.f64 (.f64 (pow.f64 N 4) (-.f64 1/3 (.f64 N N))) (-.f64 1/9 (pow.f64 N 4))))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))) (/.f64 N (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (pow.f64 N 3)) (-.f64 1/3 (*.f64 N N)))
(/.f64 N (/.f64 (.f64 (pow.f64 N 4) (+.f64 1/9 (-.f64 (pow.f64 N 4) (.f64 (*.f64 1/3 N) N)))) (+.f64 (pow.f64 N 6) 1/27)))
(.f64 (/.f64 (+.f64 (pow.f64 N 6) 1/27) (+.f64 1/9 (-.f64 (pow.f64 N 4) (.f64 1/3 (*.f64 N N))))) (/.f64 N (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 N 6) 1/27) (.f64 (pow.f64 N 3) (+.f64 1/9 (.f64 (*.f64 N N) (fma.f64 N N -1/3)))))
(/.f64 (pow.f64 N -3) (/.f64 1 (fma.f64 N N 1/3)))
(*.f64 (pow.f64 N -3) (fma.f64 N N 1/3))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 1 (/.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N 1/3))))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 1 (/.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)) N))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 1 (/.f64 (pow.f64 N 3) (fma.f64 N N 1/3)))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 1 (/.f64 (.f64 (pow.f64 N 3) (-.f64 1/3 (.f64 N N))) (-.f64 1/9 (pow.f64 N 4))))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))) (/.f64 N (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (pow.f64 N 3)) (-.f64 1/3 (*.f64 N N)))
(/.f64 1 (/.f64 (.f64 (pow.f64 N 3) (+.f64 1/9 (-.f64 (pow.f64 N 4) (.f64 (*.f64 1/3 N) N)))) (+.f64 (pow.f64 N 6) 1/27)))
(.f64 (/.f64 (+.f64 (pow.f64 N 6) 1/27) (+.f64 1/9 (-.f64 (pow.f64 N 4) (.f64 1/3 (*.f64 N N))))) (/.f64 N (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 N 6) 1/27) (.f64 (pow.f64 N 3) (+.f64 1/9 (.f64 (*.f64 N N) (fma.f64 N N -1/3)))))
(/.f64 1 (*.f64 (pow.f64 N 3) (/.f64 1 (fma.f64 N N 1/3))))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 (sqrt.f64 (fma.f64 N N 1/3)) (/.f64 (pow.f64 N 3) (sqrt.f64 (fma.f64 N N 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 N N 1/3)) (pow.f64 N 3)) (sqrt.f64 (fma.f64 N N 1/3)))
(*.f64 (sqrt.f64 (fma.f64 N N 1/3)) (/.f64 (sqrt.f64 (fma.f64 N N 1/3)) (pow.f64 N 3)))
(/.f64 (sqrt.f64 N) (/.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 N) (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3))) (sqrt.f64 N))
(.f64 (sqrt.f64 N) (.f64 (/.f64 (sqrt.f64 N) (pow.f64 N 4)) (fma.f64 N N 1/3)))
(/.f64 (sqrt.f64 N) (/.f64 (pow.f64 N 4) (*.f64 (sqrt.f64 N) (fma.f64 N N 1/3))))
(*.f64 (/.f64 (sqrt.f64 N) (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3))) (sqrt.f64 N))
(.f64 (sqrt.f64 N) (.f64 (/.f64 (sqrt.f64 N) (pow.f64 N 4)) (fma.f64 N N 1/3)))
(/.f64 (cbrt.f64 (fma.f64 N N 1/3)) (/.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 (fma.f64 N N 1/3)) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 N N 1/3)) (pow.f64 N 3)) (pow.f64 (cbrt.f64 (fma.f64 N N 1/3)) 2))
(*.f64 (cbrt.f64 (fma.f64 N N 1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N N 1/3)) 2) (pow.f64 N 3)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 N N 1/3)) 2) (/.f64 (pow.f64 N 3) (cbrt.f64 (fma.f64 N N 1/3))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 N N 1/3)) (pow.f64 N 3)) (pow.f64 (cbrt.f64 (fma.f64 N N 1/3)) 2))
(*.f64 (cbrt.f64 (fma.f64 N N 1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 N N 1/3)) 2) (pow.f64 N 3)))
(/.f64 (cbrt.f64 N) (/.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (cbrt.f64 N) (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3))) (pow.f64 (cbrt.f64 N) 2))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 (/.f64 (cbrt.f64 N) (pow.f64 N 4)) (fma.f64 N N 1/3)))
(/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 N) (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3))) (pow.f64 (cbrt.f64 N) 2))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 (/.f64 (cbrt.f64 N) (pow.f64 N 4)) (fma.f64 N N 1/3)))
(/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 (pow.f64 N 4) (*.f64 (cbrt.f64 N) (fma.f64 N N 1/3))))
(*.f64 (/.f64 (cbrt.f64 N) (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3))) (pow.f64 (cbrt.f64 N) 2))
(.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 (/.f64 (cbrt.f64 N) (pow.f64 N 4)) (fma.f64 N N 1/3)))
(/.f64 (*.f64 N (fma.f64 N N 1/3)) (pow.f64 N 4))
(/.f64 N (/.f64 (pow.f64 N 4) (fma.f64 N N 1/3)))
(/.f64 (fma.f64 N N 1/3) (pow.f64 N 3))
(/.f64 (-.f64 1/9 (pow.f64 N 4)) (.f64 (pow.f64 N 3) (-.f64 1/3 (.f64 N N))))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))) (/.f64 N (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (pow.f64 N 3)) (-.f64 1/3 (*.f64 N N)))
(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (pow.f64 N 3) (/.f64 1 (-.f64 1/3 (*.f64 N N)))))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))) (/.f64 N (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (pow.f64 N 3)) (-.f64 1/3 (*.f64 N N)))
(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3)))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))) (pow.f64 N -3))
(.f64 (pow.f64 N -3) (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))))
(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (.f64 (-.f64 1/3 (.f64 N N)) (pow.f64 N 4)) N))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))) (/.f64 N (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (pow.f64 N 3)) (-.f64 1/3 (*.f64 N N)))
(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (.f64 (-.f64 1/3 (.f64 N N)) (pow.f64 N 3)) 1))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (-.f64 1/3 (.f64 N N))) (/.f64 N (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (pow.f64 N 3)) (-.f64 1/3 (*.f64 N N)))
(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (.f64 (-.f64 1/3 (.f64 N N)) (neg.f64 (pow.f64 N 4))) (neg.f64 N)))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (.f64 (-.f64 1/3 (*.f64 N N)) (neg.f64 (pow.f64 N 4)))) (neg.f64 N))
(/.f64 (.f64 N (+.f64 (pow.f64 N 4) -1/9)) (.f64 (pow.f64 N 4) (fma.f64 N N -1/3)))
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(*.f64 (/.f64 (sqrt.f64 N) (cbrt.f64 (pow.f64 N 8))) (/.f64 (sqrt.f64 N) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 N) (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 N)) (cbrt.f64 (pow.f64 N 4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N N)) (/.f64 (cbrt.f64 N) (*.f64 N N)))
(*.f64 (cbrt.f64 N) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (pow.f64 N 4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N N)) (/.f64 (cbrt.f64 N) (*.f64 N N)))
(*.f64 (cbrt.f64 N) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 8))) (/.f64 1 N))
(*.f64 (/.f64 1 N) (/.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 8))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 8))) N)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 4)) (cbrt.f64 N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N N)) (/.f64 (cbrt.f64 N) (*.f64 N N)))
(*.f64 (cbrt.f64 N) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 4)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (.f64 N N)) (/.f64 (cbrt.f64 N) (*.f64 N N)))
(*.f64 (cbrt.f64 N) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 4)))
(pow.f64 N -3)
(pow.f64 (pow.f64 N -3) 1)
(pow.f64 N -3)
(pow.f64 (sqrt.f64 (pow.f64 N -3)) 2)
(pow.f64 N -3)
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(pow.f64 (pow.f64 (pow.f64 N -3) 3) 1/3)
(pow.f64 N -3)
(pow.f64 (pow.f64 N 3) -1)
(pow.f64 (/.f64 1 N) 3)
(/.f64 N (pow.f64 N 4))
(neg.f64 (/.f64 N (neg.f64 (pow.f64 N 4))))
(*.f64 (neg.f64 N) (/.f64 1 (neg.f64 (pow.f64 N 4))))
(/.f64 (neg.f64 N) (neg.f64 (pow.f64 N 4)))
(sqrt.f64 (/.f64 1 (pow.f64 N 6)))
(log.f64 (exp.f64 (pow.f64 N -3)))
(pow.f64 N -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -3))))
(pow.f64 N -3)
(cbrt.f64 (pow.f64 (pow.f64 N -3) 3))
(pow.f64 N -3)
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 4) 3)))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 N 12)))
(expm1.f64 (log1p.f64 (pow.f64 N -3)))
(pow.f64 N -3)
(exp.f64 (log.f64 (pow.f64 N -3)))
(pow.f64 N -3)
(exp.f64 (*.f64 (log.f64 (pow.f64 N -3)) 1))
(pow.f64 N -3)
(log1p.f64 (expm1.f64 (pow.f64 N -3)))
(pow.f64 N -3)

eval701.0ms (8.3%)

Compiler: Compiled 36069 to 25394 computations (29.6% saved)

prune354.0ms (4.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1296	6	1302
Fresh	1	0	1
Picked	1	0	1
Done	3	3	6
Total	1301	9	1310

Error

Counts

1310 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.7b	(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
▶	35.6b	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	34.2b	(/.f64 1 N)
▶	57.4b	(-.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (.f64 N N)) (pow.f64 N -3))) (/.f64 1/2 (.f64 N N)))
✓	35.6b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	35.0b	(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
✓	28.8b	(neg.f64 (log.f64 N))
▶	0.0b	(log1p.f64 (/.f64 1 N))
	60.9b	N

Compiler

Compiled 136 to 96 computations (29.4% saved)

localize5.0ms (0.1%)

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	@	0	(log1p.f64 (/.f64 1 N))
0.0ms	N	@	inf	(log1p.f64 (/.f64 1 N))
0.0ms	N	@	-inf	(log1p.f64 (/.f64 1 N))

rewrite49.0ms (0.6%)

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))))))))

simplify53.0ms (0.6%)

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`add-sqr-sqrt`
1816×	`*-un-lft-identity`
1710×	`add-cube-cbrt`
1694×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	174	32
2	2265	32

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate-/l*`
1318×	`associate-*r/`
1108×	`times-frac`
888×	`unswap-sqr`
762×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	163	2119
1	387	1847
2	1774	1847

Stop Event

1×	node limit

Counts

89 → 90

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.2b	(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2002×	`add-sqr-sqrt`
1980×	`*-un-lft-identity`
1860×	`add-cube-cbrt`
202×	`pow1`
198×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	204	19
2	3128	19

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-*r/`
682×	`associate-*l/`
600×	`associate-+l-`
598×	`associate-+r-`
492×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1051
1	245	1021
2	1021	953
3	5443	953

Stop Event

1×	node limit

Counts

47 → 58

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

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

localize45.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`associate-/l*`
972×	`associate-/r/`
870×	`associate-/l/`
724×	`distribute-lft-in`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	283	65
2	4175	65

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

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

simplify176.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

852×	`+-commutative`
822×	`associate-+l+`
798×	`associate-+r+`
776×	`associate-r`
610×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	492	9838
1	1521	9440
2	6669	9440

Stop Event

1×	node limit

Counts

196 → 302

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 (.f64 N N))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1 (neg.f64 (/.f64 1/2 (*.f64 N N)))))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 (pow.f64 N -2) -1/2))
(+.f64 (neg.f64 (/.f64 1/2 (.f64 N N))) (.f64 1/3 (pow.f64 N -3)))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (.f64 1/3 (pow.f64 N -3)))
(-.f64 (.f64 1/3 (pow.f64 N -3)) (/.f64 1/2 (.f64 N N)))
(-.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))
(.f64 (-.f64 1/2 (/.f64 1/3 N)) (/.f64 1 (.f64 N (neg.f64 N))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 (cbrt.f64 N) 2)))
(.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 (sqrt.f64 N) N)) (pow.f64 N -1/2))
(.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 (pow.f64 (cbrt.f64 N) 2) N)) (/.f64 1 (cbrt.f64 N)))
(.f64 (/.f64 1 (.f64 N (neg.f64 N))) (-.f64 1/2 (/.f64 1/3 N)))
(.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)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (.f64 N N)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.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)))
(*.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))
(.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)))
(.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))))
(.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)))
(.f64 (/.f64 1 (/.f64 (.f64 N N) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2))) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) -1)
(.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))
(.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))))
(.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))))
(.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)) (+.f64 1/4 (/.f64 1/6 N))) (.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))))
(pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 3)
(pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N (neg.f64 N))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)
(*.f64 1/3 (/.f64 1 N))
(*.f64 (/.f64 1/3 N) 1)
(*.f64 1 (/.f64 1/3 N))
(*.f64 (/.f64 1 N) 1/3)
(*.f64 (pow.f64 N -1/2) (/.f64 1/3 (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)))
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(.f64 (.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))
(.f64 (.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N)))
(*.f64 (/.f64 1/3 (sqrt.f64 N)) (pow.f64 N -1/2))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (neg.f64 N)) -1/3)
(*.f64 (/.f64 1/3 (neg.f64 N)) -1)
(pow.f64 (/.f64 1/3 N) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)
(pow.f64 (*.f64 N 3) -1)
(pow.f64 (/.f64 1/27 (pow.f64 N 3)) 1/3)
(sqrt.f64 (*.f64 1/9 (pow.f64 N -2)))
(log.f64 (exp.f64 (/.f64 1/3 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))
(cbrt.f64 (/.f64 1/27 (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 N)))
(exp.f64 (log.f64 (/.f64 1/3 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 N)))
(-.f64 (.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1/2 (.f64 N N)) (/.f64 1 N)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 N -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 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -3))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) N (*.f64 N N))) (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 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 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 (/.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 (/.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 -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 (/.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 (/.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 -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 (/.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 (/.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 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 (.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 -1/2 (*.f64 N N)) (/.f64 1 N)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 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 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 (*.f64 N N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 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 1/3 (/.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 -1/2 (*.f64 N N)) (/.f64 1 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 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 1/3 (/.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 -1/2 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (neg.f64 (/.f64 1/2 (.f64 N N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (.f64 1/3 (pow.f64 N -3)) (.f64 1 (neg.f64 (/.f64 1/2 (*.f64 N N)))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(+.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)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (neg.f64 (/.f64 1/2 (.f64 N N))) (.f64 1/3 (pow.f64 N -3)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (.f64 (pow.f64 N -2) -1/2) (.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 N -2) -1/2 (*.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 (.f64 N N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(-.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)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 (sqrt.f64 N) N)) (pow.f64 N -1/2))
(.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (.f64 N (sqrt.f64 N))) (pow.f64 N -1/2))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N)))
(.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (.f64 (pow.f64 (cbrt.f64 N) 2) N)) (/.f64 1 (cbrt.f64 N)))
(.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (.f64 N (pow.f64 (cbrt.f64 N) 2))) (/.f64 1 (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(.f64 (/.f64 1 (.f64 N (neg.f64 N))) (-.f64 1/2 (/.f64 1/3 N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(.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)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (.f64 N N)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.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)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(*.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))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(.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)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(.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))))
(.f64 (cbrt.f64 (.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 2) (cbrt.f64 (pow.f64 N 4))))
(.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)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(.f64 (/.f64 1 (/.f64 (.f64 N N) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2))) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) -1)
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(.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))
(*.f64 (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 (fma.f64 1/9 (pow.f64 N -2) -1/4) (/.f64 (fma.f64 1/9 (pow.f64 N -2) -1/4) (pow.f64 N -2))))
(.f64 (+.f64 -1/2 (/.f64 1/3 N)) (.f64 (/.f64 (fma.f64 (pow.f64 N -2) 1/9 -1/4) (fma.f64 (pow.f64 N -2) 1/9 -1/4)) (pow.f64 N -2)))
(.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))))
(/.f64 (.f64 (.f64 (pow.f64 N -2) (fma.f64 1/9 (pow.f64 N -2) -1/4)) (fma.f64 1/9 (pow.f64 N -2) (-.f64 1/4 (/.f64 1/6 N)))) (+.f64 1/8 (/.f64 1/27 (pow.f64 N 3))))
(/.f64 (*.f64 (pow.f64 N -2) (fma.f64 (pow.f64 N -2) 1/9 -1/4)) (/.f64 (+.f64 1/8 (/.f64 1/27 (pow.f64 N 3))) (+.f64 (fma.f64 (pow.f64 N -2) 1/9 1/4) (/.f64 -1/6 N))))
(.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))))
(.f64 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (/.f64 (-.f64 (.f64 1/81 (pow.f64 N -4)) (.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N)))) (pow.f64 N -2))) (-.f64 (.f64 (pow.f64 N -2) 1/9) (+.f64 1/4 (/.f64 1/6 N))))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (fma.f64 1/81 (pow.f64 N -4) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 -1/4 (/.f64 -1/6 N))))) (pow.f64 N -2)) (+.f64 (fma.f64 (pow.f64 N -2) 1/9 -1/4) (/.f64 -1/6 N)))
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(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 N -1 (+.f64 1/2 (/.f64 -1/3 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 (fma.f64 (-.f64 1/2 (/.f64 1/3 N)) (neg.f64 N) (*.f64 (neg.f64 N) (neg.f64 N))) (neg.f64 (neg.f64 (pow.f64 N 3))))
(/.f64 (*.f64 (neg.f64 N) (fma.f64 N -1 (+.f64 1/2 (/.f64 -1/3 N)))) (pow.f64 N 3))
(/.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 (+.f64 N (/.f64 (.f64 N N) (+.f64 -1/2 (/.f64 1/3 N)))) (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))
(/.f64 (+.f64 N (.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (.f64 N N))
(/.f64 (fma.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 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 -1 (/.f64 (fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) N (.f64 N N)) (neg.f64 (pow.f64 N 3))))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 N -1 (+.f64 1/2 (/.f64 -1/3 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 -1 (/.f64 (fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) N (.f64 N N)) (neg.f64 (pow.f64 N 3))))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 N -1 (+.f64 1/2 (/.f64 -1/3 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 (neg.f64 N) (/.f64 (*.f64 N N) (+.f64 -1/2 (/.f64 1/3 N)))) (/.f64 (neg.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 N (+.f64 1/2 (/.f64 -1/3 N))) N) 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 (fma.f64 (-.f64 1/2 (/.f64 1/3 N)) (neg.f64 N) (*.f64 (neg.f64 N) (neg.f64 N))) (neg.f64 (neg.f64 (pow.f64 N 3))))
(/.f64 (*.f64 (neg.f64 N) (fma.f64 N -1 (+.f64 1/2 (/.f64 -1/3 N)))) (pow.f64 N 3))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1) N)))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4))) (-.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))))
(.f64 (/.f64 (-.f64 (pow.f64 N -2) (.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4))) (neg.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1))) N)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 N -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 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -3))))))
(/.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 (.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 (neg.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) N (*.f64 N N))) (neg.f64 (pow.f64 N 3)))
(.f64 -1 (/.f64 (fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) N (.f64 N N)) (neg.f64 (pow.f64 N 3))))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 N -1 (+.f64 1/2 (/.f64 -1/3 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 (cbrt.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))
(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))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3))
	0.4b	(/.f64 1/2 (*.f64 N N))
✓	13.6b	(-.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (.f64 N N)) (pow.f64 N -3))) (/.f64 1/2 (.f64 N N)))
✓	22.1b	(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3)))

Compiler

Compiled 76 to 47 computations (38.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3)))
1.0ms	N	@	-inf	(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3)))
1.0ms	N	@	0	(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3)))
0.0ms	N	@	0	(-.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (.f64 N N)) (pow.f64 N -3))) (/.f64 1/2 (.f64 N N)))
0.0ms	N	@	inf	(/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3))

rewrite135.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`distribute-lft-in`
422×	`add-sqr-sqrt`
406×	`add-exp-log`
406×	`add-log-exp`
404×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	129
1	423	89
2	6280	89

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs

(/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3)))

(-.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3))) (/.f64 1/2 (*.f64 N N)))

(/.f64 (-.f64 1/3 (*.f64 N N)) (pow.f64 N -3))

Outputs

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

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1036×	`+-commutative`
894×	`fma-def`
858×	`associate-/r*`
746×	`associate-r`
746×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	491	12540
1	1399	10850
2	7134	10840

Stop Event

1×	node limit

Counts

226 → 310

Calls

Call 1

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

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

eval455.0ms (5.4%)

Compiler: Compiled 20284 to 14483 computations (28.6% saved)

prune246.0ms (2.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	840	4	844
Fresh	0	1	1
Picked	1	0	1
Done	1	6	7
Total	842	11	853

Error

Counts

853 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	52.8b	(/.f64 (+.f64 (.f64 N (neg.f64 N)) (.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (.f64 N (.f64 N (neg.f64 N))))
	52.9b	(/.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))))
	48.0b	(/.f64 (+.f64 N (.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)) (.f64 N N))
✓	35.6b	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
	48.7b	(/.f64 (+.f64 -1/2 N) (*.f64 N N))
✓	34.2b	(/.f64 1 N)
✓	35.6b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	35.0b	(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
✓	28.8b	(neg.f64 (log.f64 N))
✓	0.0b	(log1p.f64 (/.f64 1 N))
	60.9b	N

Compiler

Compiled 115 to 75 computations (34.8% saved)

regimes25.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
(/.f64 (+.f64 N (.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)) (.f64 N N))
(-.f64 (+.f64 (/.f64 1 N) (.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))))
(/.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))))
(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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(-.f64 (.f64 (/.f64 N (pow.f64 N 4)) (+.f64 1/3 (.f64 N N))) (/.f64 1/2 (*.f64 N N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (/.f64 (-.f64 1/9 (pow.f64 N 4)) (/.f64 (-.f64 1/3 (.f64 N N)) (pow.f64 N -3))) (/.f64 1/2 (.f64 N N)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 N 3) (.f64 N 1/3)) (.f64 N (neg.f64 N))) (.f64 (pow.f64 N 4) -1/2)) (.f64 (pow.f64 N 4) (.f64 N (neg.f64 N))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(+.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 (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)))))

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

Calls

2 calls:

11.0ms	N
7.0ms	(-.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 319 to 181 computations (43.3% saved)

regimes15.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.2b	2	`N`

Compiler

Compiled 130 to 74 computations (43.1% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.11216001682564279	9.147546940563185

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 152 to 114 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -28.9b remaining (-84.5%)

Threshold costs -28.9b (-84.5%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
34.2b	1	`N`

Compiler

Compiled 127 to 72 computations (43.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	74
1	31	74
2	34	74
3	35	74

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N)))
(/.f64 1 N)
N

Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N))))
(/.f64 1 N)
N

Compiler

Compiled 32 to 23 computations (28.1% saved)

soundness483.0ms (5.7%)

Algorithm

6×	egg-herbie

Rules

1342×	`associate-+l-`
1342×	`associate-+l-`
1342×	`associate-+l-`
1166×	`associate-+r-`
1166×	`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
0	173	2126
1	457	1898
2	1869	1792
3	6477	1792
0	173	2126
1	457	1898
2	1869	1792
3	6477	1792
0	173	2126
1	457	1898
2	1869	1792
3	6477	1792

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 281 to 220 computations (21.7% saved)

end27.0ms (0.3%)

Compiler: Compiled 29 to 20 computations (31% 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

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