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)

sample1.9s (17.8%)

Results

758.0ms	2028×	body	1024	valid
739.0ms	4901×	body	256	valid
237.0ms	1067×	body	512	valid
137.0ms	260×	body	2048	valid

Bogosity

preprocess13.0ms (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)

simplify17.0ms (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

28.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.4b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series22.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	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))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-/r/`
1146×	`associate-r`
898×	`associate-l`
840×	`fma-def`
804×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1268
1	335	1230
2	1299	1224
3	5987	1224

Stop Event

1×	node limit

Counts

48 → 66

Calls

Call 1

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

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

eval52.0ms (0.5%)

Compiler: Compiled 926 to 353 computations (61.9% saved)

prune15.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	56	10	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	11	67

Error

0.0b

Counts

67 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.4b	(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N)))))
▶	32.0b	(/.f64 1 N)
	33.2b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	28.4b	(-.f64 (log1p.f64 N) (log.f64 N))
	30.1b	(-.f64 N (log.f64 N))
▶	32.6b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
	33.2b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
	30.7b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
▶	31.0b	(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
▶	30.8b	(neg.f64 (log.f64 N))
	28.9b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))

Compiler

Compiled 236 to 160 computations (32.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N))))
✓	0.2b	(*.f64 (log1p.f64 N) (log1p.f64 N))
✓	0.5b	(*.f64 (log.f64 N) (log.f64 N))
✓	2.8b	(-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N)))

Compiler

Compiled 69 to 11 computations (84.1% saved)

series49.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	N	@	0	(*.f64 (log.f64 N) (log.f64 N))
16.0ms	N	@	-inf	(*.f64 (log.f64 N) (log.f64 N))
6.0ms	N	@	inf	(*.f64 (log.f64 N) (log.f64 N))
3.0ms	N	@	-inf	(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N))))
2.0ms	N	@	inf	(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N))))

rewrite158.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`associate-/r*`
1512×	`associate-/l*`
1222×	`associate-/r/`
292×	`associate-+l+`
262×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	96
1	246	70
2	3623	70

Stop Event

1×	node limit

Counts

4 → 269

Calls

Call 1

Inputs
(-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N)))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N))))

Outputs
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simplify220.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-r`
984×	`associate-l`
916×	`associate-/r*`
898×	`*-commutative`
810×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	828	28165
1	2667	27469

Stop Event

1×	node limit

Counts

317 → 509

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 11/12 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 3)))
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(.f64 (/.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2)) (+.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 3)
(pow.f64 (.f64 (.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) -1)
(neg.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(sqrt.f64 (*.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(log.f64 (exp.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N))) (.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))

Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(neg.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (.f64 N N) (.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2))))
(+.f64 (.f64 N N) (.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3))))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 11/12 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))
(/.f64 (*.f64 2 (log.f64 N)) N)
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))
(+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (*.f64 N N))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (.f64 N N)))) (-.f64 (/.f64 (.f64 2/3 (log.f64 N)) (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (.f64 -1/2 (log.f64 N)) (pow.f64 N 4)) (+.f64 (+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (/.f64 1 (.f64 N N))) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 (*.f64 2/3 (log.f64 N)) (pow.f64 N 3)))) (-.f64 (/.f64 11/12 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 3)))))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (/.f64 1 (.f64 N N))))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))))
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 3)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 N 3)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 11/12 (pow.f64 N 4))))
(+.f64 (.f64 N N) (fma.f64 -1 (pow.f64 N 3) (.f64 11/12 (pow.f64 N 4))))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (+.f64 (.f64 -5/6 (pow.f64 N 5)) (*.f64 11/12 (pow.f64 N 4)))))
(+.f64 (.f64 N N) (fma.f64 -1 (pow.f64 N 3) (fma.f64 -5/6 (pow.f64 N 5) (.f64 11/12 (pow.f64 N 4)))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (pow.f64 (neg.f64 (log.f64 N)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (/.f64 1 (.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2))))
(+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (+.f64 (/.f64 1 (.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (/.f64 1 (.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2))))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (+.f64 (/.f64 1 (.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) 2)) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)))) (-.f64 (/.f64 (.f64 2/3 (log.f64 N)) (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3))))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (+.f64 (/.f64 1 (.f64 N N)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (/.f64 1 (.f64 N N))) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (+.f64 (/.f64 1 (*.f64 N N)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)))))
(/.f64 -1 (log.f64 N))
(-.f64 (*.f64 -1 (/.f64 N (pow.f64 (log.f64 N) 2))) (/.f64 1 (log.f64 N)))
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(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 3)
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(pow.f64 (.f64 (.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 1/3)
(cbrt.f64 (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(cbrt.f64 (/.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (-.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 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) -1)
(/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(neg.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(sqrt.f64 (*.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(fabs.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(log.f64 (exp.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(cbrt.f64 (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(cbrt.f64 (/.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (-.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 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N))) (.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(cbrt.f64 (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(cbrt.f64 (/.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (-.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 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(exp.f64 (log.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 1))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))

localize2.0ms (0%)

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

localize4.0ms (0%)

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 17 computations (45.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`*-commutative`
1014×	`associate-*r/`
852×	`distribute-lft-in`
830×	`distribute-rgt-in`
666×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	221	52
2	3040	52

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 N N) -1/2) (-.f64 (log.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (*.f64 (*.f64 N N) -1/2)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 N)) (-.f64 1 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 N N) -1/2))) (-.f64 1 (+.f64 N (neg.f64 (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 N N) -1/2))) (+.f64 1 (-.f64 (log.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) -1/2) (*.f64 (*.f64 N N) -1/2)) (+.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))) (-.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (*.f64 N N) -1/2) 3) (+.f64 (*.f64 (*.f64 (*.f64 N N) -1/2) (*.f64 (*.f64 N N) -1/2)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (*.f64 (*.f64 (*.f64 N N) -1/2) (*.f64 (*.f64 N N) -1/2)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 N N) (-.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)) (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))) (-.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 N (*.f64 (*.f64 N N) -1/2)) 0) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (exp.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (/.f64 (*.f64 (*.f64 (*.f64 N N) -1/2) (*.f64 (*.f64 N N) -1/2)) (+.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (/.f64 (pow.f64 (*.f64 (*.f64 N N) -1/2) 3) (+.f64 (*.f64 (*.f64 (*.f64 N N) -1/2) (*.f64 (*.f64 N N) -1/2)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (*.f64 (*.f64 (*.f64 N N) -1/2) (*.f64 (*.f64 N N) -1/2)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)) (exp.f64 (log1p.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 N (*.f64 (*.f64 N N) -1/2)) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 N (*.f64 (*.f64 N N) -1/2)) 0) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 N (*.f64 (*.f64 N N) -1/2)) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (sqrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (*.f64 (cbrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (cbrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (cbrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))))) (cbrt.f64 (+.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)) (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (/.f64 1 (-.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)) 3)) (/.f64 1 (+.f64 (*.f64 N N) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)) (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N))) (*.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 N (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)))) (-.f64 (*.f64 N N) (*.f64 (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 N)) (-.f64 (*.f64 (*.f64 N N) -1/2) (log.f64 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simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

890×	`associate-r`
862×	`associate-/l*`
832×	`associate-l`
668×	`distribute-lft-in`
620×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	549	17306
1	1717	15954

Stop Event

1×	node limit

Counts

224 → 346

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 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (.f64 (.f64 N N) -1/2) 3)) (.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 3))) (.f64 (pow.f64 (.f64 (*.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (log.f64 N) (log.f64 N))) 1) (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (log.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (sqrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (log.f64 N) (log.f64 N))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) (cbrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3)) 1) (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))) (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))
(pow.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) 3) 1/3)
(sqrt.f64 (.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) (-.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N))))
(log.f64 (exp.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(fma.f64 N (*.f64 N -1/2) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 N -1/2) N (neg.f64 (log.f64 N)))
(fma.f64 1 (.f64 (.f64 N N) -1/2) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (.f64 (.f64 N N) -1/2)) (sqrt.f64 (.f64 (.f64 N N) -1/2)) (neg.f64 (log.f64 N)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 N N) -1/2)) (cbrt.f64 (.f64 (.f64 N N) -1/2))) (cbrt.f64 (.f64 (*.f64 N N) -1/2)) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (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 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (.f64 N (.f64 N -1/2)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (.f64 N (.f64 N -1/2)))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2)))
(-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2)))
(-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2)))
(-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(-.f64 (.f64 (.f64 N N) -1/2) (-.f64 (log.f64 N) N))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 N (.f64 (.f64 N N) -1/2)) (log.f64 N))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 N)) (-.f64 1 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 N)) 1) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(+.f64 -1 (+.f64 (exp.f64 (log1p.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) 1)
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (-.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (-.f64 1 N))
(+.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (+.f64 N -1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 N N) -1/2))) (-.f64 1 (+.f64 N (neg.f64 (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N -1/2)))) (-.f64 1 (-.f64 N (log.f64 N))))
(+.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N -1/2)))) (+.f64 -1 (-.f64 N (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 N N) -1/2))) (+.f64 1 (-.f64 (log.f64 N) N)))
(-.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N -1/2)))) (-.f64 1 (-.f64 N (log.f64 N))))
(+.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N -1/2)))) (+.f64 -1 (-.f64 N (log.f64 N))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) (-.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) N))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) N))
(+.f64 (/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (*.f64 N N) -1/2 (log.f64 N))))) N)
(+.f64 N (/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N))))))
(-.f64 (/.f64 (.f64 N N) (-.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (/.f64 (.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) (-.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 (+.f64 N (.f64 (.f64 N N) -1/2)) 0) (log.f64 N))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (-.f64 1 N))
(+.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (+.f64 N -1))
(-.f64 (+.f64 N (/.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 N (/.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))
(+.f64 (/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (*.f64 N N) -1/2 (log.f64 N))))) N)
(+.f64 N (/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N))))))
(-.f64 (+.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) (exp.f64 (log1p.f64 N))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 N)) 1) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(+.f64 -1 (+.f64 (exp.f64 (log1p.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(-.f64 (-.f64 (+.f64 N (.f64 (.f64 N N) -1/2)) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(-.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (+.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N))))
(-.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (*.f64 2 (log.f64 (sqrt.f64 N))))
(-.f64 (-.f64 (+.f64 N (.f64 (.f64 N N) -1/2)) 0) (log.f64 N))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (-.f64 (+.f64 N (.f64 (.f64 N N) -1/2)) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (cbrt.f64 N)))
(-.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (+.f64 (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (log.f64 (cbrt.f64 N))))
(-.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 N))) (log.f64 (cbrt.f64 N))))
(.f64 (+.f64 N (-.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N))) 1)
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(.f64 1 (+.f64 N (-.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(.f64 (sqrt.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (sqrt.f64 (+.f64 N (-.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N)))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (-.f64 N (log.f64 N)))
(.f64 (cbrt.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (.f64 (cbrt.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (cbrt.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
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(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (/.f64 (cbrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N))) (cbrt.f64 (-.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (*.f64 (log.f64 N) (log.f64 N))))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (log.f64 N)))) (cbrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N)))) (.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (cbrt.f64 (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2))) (.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log.f64 N) (log.f64 N)))) (/.f64 1 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (.f64 (*.f64 N N) -1/2))))
(/.f64 (-.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 (pow.f64 N 6) -1/8)) (.f64 (log.f64 N) (pow.f64 (log.f64 N) 3))) (.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (*.f64 N (pow.f64 N 3)) 1/4))))
(.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 N) (.f64 (pow.f64 N 4) 1/4)) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (pow.f64 N 4) 1/4))) (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) 3) (pow.f64 (.f64 (log.f64 N) (log.f64 N)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (+.f64 (.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2))) (+.f64 (.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log.f64 N) (log.f64 N))) (.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 6) (pow.f64 (log.f64 N) 6)) (.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N)) (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 (pow.f64 N 6) -1/8)) (.f64 (.f64 (log.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (.f64 N (pow.f64 N 3)) 1/4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 6) (pow.f64 (log.f64 N) 6)) (fma.f64 (.f64 N N) -1/2 (log.f64 N))) (+.f64 (.f64 (.f64 (pow.f64 N 4) (pow.f64 N 4)) 1/16) (.f64 (log.f64 N) (.f64 (log.f64 N) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (pow.f64 N 4) 1/4))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (.f64 (.f64 N N) -1/2) 3)) (.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 1 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))) (+.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3)))
(/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 6) (pow.f64 (log.f64 N) 6)) (.f64 (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))) (+.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3))) (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (.f64 (.f64 N N) -1/2) 3)) (.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 3))) (.f64 (pow.f64 (.f64 (*.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 N 6) -1/8) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (.f64 (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))) (+.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 6) (+.f64 (pow.f64 (log.f64 N) 6) (.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 N 6) -1/8) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (.f64 (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))) (+.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 6) (+.f64 (pow.f64 (log.f64 N) 6) (.f64 (*.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (log.f64 N) (log.f64 N))) 1) (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (log.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))) (sqrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(/.f64 (-.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (log.f64 N))) (.f64 (sqrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N))) (sqrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))
(/.f64 (-.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (log.f64 N))) (.f64 (sqrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N))) (sqrt.f64 (fma.f64 (*.f64 N N) -1/2 (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (.f64 (log.f64 N) (log.f64 N))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) (cbrt.f64 (+.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (log.f64 N))) (.f64 (cbrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N))) (cbrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N))))) (cbrt.f64 (fma.f64 (*.f64 N N) -1/2 (log.f64 N))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (log.f64 N))) (cbrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N)))) (.f64 (cbrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N))) (cbrt.f64 (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3)) 1) (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N)))))
(/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (*.f64 N N) -1/2 (log.f64 N)))))
(/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))) (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))
(/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N))))) (sqrt.f64 (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))))
(/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 N N) -1/2) 3) (pow.f64 (log.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (.f64 N N) -1/2) (.f64 (.f64 N N) -1/2)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (cbrt.f64 (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))) (cbrt.f64 (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))) (cbrt.f64 (+.f64 (.f64 (.f64 N (pow.f64 N 3)) 1/4) (.f64 (log.f64 N) (fma.f64 (*.f64 N N) -1/2 (log.f64 N))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 N 6) -1/8) (pow.f64 (log.f64 N) 3)) (cbrt.f64 (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N)))))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (.f64 N N) -1/2 (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 N 4) 1/4) (.f64 (log.f64 N) (fma.f64 (*.f64 N N) -1/2 (log.f64 N)))))))
(pow.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) 1)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) 2)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))) 3)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) 3) 1/3)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(sqrt.f64 (.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) (-.f64 (.f64 (*.f64 N N) -1/2) (log.f64 N))))
(fabs.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(log.f64 (exp.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)) 3))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(fma.f64 N (*.f64 N -1/2) (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(fma.f64 (*.f64 N -1/2) N (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(fma.f64 1 (.f64 (.f64 N N) -1/2) (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(fma.f64 (sqrt.f64 (.f64 (.f64 N N) -1/2)) (sqrt.f64 (.f64 (.f64 N N) -1/2)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (.f64 N (.f64 N -1/2))) (sqrt.f64 (.f64 N (.f64 N -1/2))) (neg.f64 (log.f64 N)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 N N) -1/2)) (cbrt.f64 (.f64 (.f64 N N) -1/2))) (cbrt.f64 (.f64 (*.f64 N N) -1/2)) (neg.f64 (log.f64 N)))
(fma.f64 (.f64 (cbrt.f64 (.f64 N (.f64 N -1/2))) (cbrt.f64 (.f64 N (.f64 N -1/2)))) (cbrt.f64 (.f64 N (*.f64 N -1/2))) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 N N) -1/2 (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	0.2b	(/.f64 1/3 (pow.f64 N 3))
✓	0.3b	(/.f64 1/2 (*.f64 N N))
✓	14.0b	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))

Compiler

Compiled 51 to 33 computations (35.3% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite135.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 261

Calls

Call 1

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

Outputs
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simplify182.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-/r*`
1106×	`associate-/l*`
900×	`distribute-lft-in`
840×	`*-commutative`
672×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	730	24837
1	2432	24077

Stop Event

1×	node limit

Counts

297 → 499

Calls

Call 1

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

eval1.5s (14.6%)

Compiler: Compiled 59719 to 35401 computations (40.7% saved)

prune313.0ms (3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1349	5	1354
Fresh	1	4	5
Picked	1	0	1
Done	2	3	5
Total	1353	12	1365

Error

Counts

1365 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(pow.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 1 N))) 2)
▶	31.1b	(/.f64 1 (/.f64 1 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
✓	32.0b	(/.f64 1 N)
▶	33.2b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	31.0b	(-.f64 (.f64 (.f64 N N) -1/2) (-.f64 (log.f64 N) N))
✓	28.4b	(-.f64 (log1p.f64 N) (log.f64 N))
▶	30.1b	(-.f64 N (log.f64 N))
	33.2b	(+.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)))))
	32.6b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N))))
	30.7b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
✓	30.8b	(neg.f64 (log.f64 N))
▶	31.7b	(expm1.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))

Compiler

Compiled 272 to 192 computations (29.4% saved)

localize4.0ms (0%)

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)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (0.7%)

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1192×	`associate-+l+`
1120×	`associate-/r/`
1106×	`associate-r`
852×	`associate-l`
678×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	859
1	273	805
2	1086	805
3	5370	805

Stop Event

1×	node limit

Counts

47 → 48

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 179

Calls

Call 1

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

Outputs

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

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

954×	`+-commutative`
754×	`times-frac`
726×	`associate-/r*`
692×	`associate-r`
636×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	494	11937
1	1569	9931
2	7955	9931

Stop Event

1×	node limit

Counts

191 → 275

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`associate-*r/`
1078×	`*-commutative`
984×	`distribute-lft-in`
734×	`associate-*l/`
294×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	223	53
2	3147	53

Stop Event

1×	node limit

Counts

3 → 261

Calls

Call 1

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

Outputs

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

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

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`associate-r`
1032×	`associate-l`
908×	`associate-/l*`
882×	`associate-+l+`
808×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	668	19367
1	2058	18703

Stop Event

1×	node limit

Counts

297 → 432

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))
✓	0.0b	(+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))
✓	0.2b	(/.f64 1 (/.f64 1 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
✓	0.4b	(/.f64 1 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite153.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`associate-*l/`
1092×	`distribute-lft-in`
642×	`associate-/r*`
426×	`associate-/r/`
406×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	116
1	288	116
2	3648	116

Stop Event

1×	node limit

Counts

4 → 393

Calls

Call 1

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

Outputs
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(neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 N (.f64 N -1/2))) (cbrt.f64 (.f64 N (.f64 N -1/2)))) (cbrt.f64 (.f64 N (*.f64 N -1/2))) (neg.f64 (log.f64 N)))))))

simplify219.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate-r`
1394×	`associate-/l*`
1218×	`associate-l`
838×	`associate-/r*`
834×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	886	33715
1	2679	31469

Stop Event

1×	node limit

Counts

441 → 612

Calls

Call 1

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

Outputs
(/.f64 -1 (log.f64 N))
(-.f64 (*.f64 -1 (/.f64 N (pow.f64 (log.f64 N) 2))) (/.f64 1 (log.f64 N)))
(-.f64 (/.f64 (neg.f64 N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (log.f64 N)))
(-.f64 (+.f64 (.f64 (pow.f64 N 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1 (pow.f64 (log.f64 N) 3)))) (*.f64 -1 (/.f64 N (pow.f64 (log.f64 N) 2)))) (/.f64 1 (log.f64 N)))
(-.f64 (fma.f64 (*.f64 N N) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 (log.f64 N) 3))) (/.f64 (neg.f64 N) (pow.f64 (log.f64 N) 2))) (/.f64 1 (log.f64 N)))
(-.f64 (+.f64 (.f64 (pow.f64 N 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1 (pow.f64 (log.f64 N) 3))) (log.f64 N))))) (+.f64 (.f64 (pow.f64 N 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1 (pow.f64 (log.f64 N) 3)))) (*.f64 -1 (/.f64 N (pow.f64 (log.f64 N) 2))))) (/.f64 1 (log.f64 N)))
(-.f64 (fma.f64 (pow.f64 N 3) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 3)) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 (log.f64 N) 3))) (log.f64 N)))) (fma.f64 (*.f64 N N) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 (log.f64 N) 3))) (/.f64 (neg.f64 N) (pow.f64 (log.f64 N) 2)))) (/.f64 1 (log.f64 N)))
(-.f64 (fma.f64 (pow.f64 N 3) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 3)) (neg.f64 (-.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 3)) (/.f64 (/.f64 1 (pow.f64 (log.f64 N) 3)) (log.f64 N))))) (fma.f64 (*.f64 N N) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 (log.f64 N) 3))) (/.f64 (neg.f64 N) (pow.f64 (log.f64 N) 2)))) (/.f64 1 (log.f64 N)))
(/.f64 -2 (pow.f64 N 2))
(/.f64 -2 (*.f64 N N))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 N 3))) (.f64 2 (/.f64 1 (pow.f64 N 2)))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (*.f64 N N))))
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (log.f64 (/.f64 1 N))) 8) (pow.f64 N 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 N 3))) (.f64 2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (neg.f64 (/.f64 (fma.f64 4 (neg.f64 (log.f64 N)) 8) (pow.f64 N 4))) (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (*.f64 N N))))
(-.f64 (neg.f64 (/.f64 (+.f64 (.f64 (log.f64 N) -4) 8) (pow.f64 N 4))) (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (.f64 N N))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 (.f64 4 (log.f64 (/.f64 1 N))) 8)) (.f64 8 (log.f64 (/.f64 1 N)))) (pow.f64 N 5))) (.f64 -1 (/.f64 (+.f64 (.f64 4 (log.f64 (/.f64 1 N))) 8) (pow.f64 N 4)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 N 3))) (.f64 2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (.f64 -1 (+.f64 (/.f64 (fma.f64 2 (fma.f64 4 (neg.f64 (log.f64 N)) 8) (.f64 8 (neg.f64 (log.f64 N)))) (pow.f64 N 5)) (/.f64 (fma.f64 4 (neg.f64 (log.f64 N)) 8) (pow.f64 N 4)))) (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (*.f64 N N))))
(-.f64 (.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 (log.f64 N) -4) 8) (pow.f64 N 4)) (/.f64 (+.f64 (+.f64 16 (.f64 (log.f64 N) -8)) (.f64 (log.f64 N) -8)) (pow.f64 N 5)))) (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (*.f64 N N))))
(/.f64 -2 (pow.f64 N 2))
(/.f64 -2 (*.f64 N N))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 N 3))) (.f64 2 (/.f64 1 (pow.f64 N 2)))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (*.f64 N N))))
(-.f64 (.f64 -1 (/.f64 (+.f64 8 (.f64 -4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 N 3))) (*.f64 2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (neg.f64 (/.f64 (+.f64 8 (.f64 -4 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (.f64 N N))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 8 (.f64 -4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 8 (.f64 -4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4))) (.f64 8 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 5))))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 N 3))) (.f64 2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (fma.f64 -2 (/.f64 (+.f64 8 (.f64 -4 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 5)) (fma.f64 -1 (/.f64 (+.f64 8 (.f64 -4 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 4)) (.f64 8 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 5))))) (+.f64 (/.f64 4 (pow.f64 N 3)) (/.f64 2 (.f64 N N))))
(*.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 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(.f64 -1/2 (.f64 N N))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (.f64 N (.f64 N -1/2)))
(+.f64 N (.f64 -1/2 (.f64 N N)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(.f64 -1/2 (.f64 N N))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (.f64 N (.f64 N -1/2)))
(+.f64 N (.f64 -1/2 (.f64 N N)))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 -1/2 (.f64 N N))))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 -1/2 (.f64 N N))))
(*.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 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(.f64 -1/2 (.f64 N N))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (.f64 N (.f64 N -1/2)))
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(/.f64 (-.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (pow.f64 (log.f64 N) 2)) (.f64 (sqrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))) (sqrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N)))))
(/.f64 (-.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (pow.f64 (log.f64 N) 2)) (.f64 (sqrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))) (sqrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (.f64 (log.f64 N) (log.f64 N))) (.f64 (cbrt.f64 (+.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (cbrt.f64 (+.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))
(/.f64 (-.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (pow.f64 (log.f64 N) 2)) (.f64 (cbrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))) (.f64 (cbrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))) (cbrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))))))
(/.f64 (-.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (pow.f64 (log.f64 N) 2)) (.f64 (cbrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))) (.f64 (cbrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))) (cbrt.f64 (fma.f64 N (.f64 N -1/2) (log.f64 N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (log.f64 N) 3)) 1) (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2)) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 N N)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (.f64 (log.f64 N) (fma.f64 N (*.f64 N -1/2) (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (sqrt.f64 (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (fma.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2)) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N)))))) (sqrt.f64 (fma.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2)) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 N N)) 3) (pow.f64 (log.f64 N) 3)) (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N))))) (sqrt.f64 (+.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (.f64 (log.f64 N) (fma.f64 N (*.f64 N -1/2) (log.f64 N)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (log.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))) (cbrt.f64 (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (log.f64 N) 3)) (.f64 (cbrt.f64 (fma.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2)) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N))))) (.f64 (cbrt.f64 (fma.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2)) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N))))) (cbrt.f64 (fma.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2)) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N))))))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 N N)) 3) (pow.f64 (log.f64 N) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N))))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (.f64 (log.f64 N) (fma.f64 N (.f64 N -1/2) (log.f64 N))))) (cbrt.f64 (+.f64 (.f64 (.f64 N -1/2) (.f64 -1/2 (pow.f64 N 3))) (.f64 (log.f64 N) (fma.f64 N (*.f64 N -1/2) (log.f64 N))))))))
(pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 1)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 2)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 3)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3) 1/3)
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(sqrt.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))
(fabs.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fabs.f64 (-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N)))
(log.f64 (exp.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))) 1))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(fma.f64 1 (.f64 N (.f64 N -1/2)) (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(fma.f64 N (*.f64 N -1/2) (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(fma.f64 (*.f64 N N) -1/2 (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(fma.f64 -1/2 (*.f64 N N) (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))
(-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N))
(fma.f64 (sqrt.f64 (.f64 N (.f64 N -1/2))) (sqrt.f64 (.f64 N (.f64 N -1/2))) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (.f64 -1/2 (.f64 N N))) (sqrt.f64 (.f64 -1/2 (.f64 N N))) (neg.f64 (log.f64 N)))
(fma.f64 (.f64 (cbrt.f64 (.f64 N (.f64 N -1/2))) (cbrt.f64 (.f64 N (.f64 N -1/2)))) (cbrt.f64 (.f64 N (*.f64 N -1/2))) (neg.f64 (log.f64 N)))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 N N))) (cbrt.f64 (.f64 -1/2 (.f64 N N)))) (cbrt.f64 (.f64 -1/2 (*.f64 N N))) (neg.f64 (log.f64 N)))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))
	0.0b	(+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))
✓	0.0b	(log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
✓	0.6b	(expm1.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))

Compiler

Compiled 54 to 24 computations (55.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
0.0ms	N	@	0	(log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
0.0ms	N	@	inf	(log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))
0.0ms	N	@	0	(expm1.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
0.0ms	N	@	-inf	(expm1.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`*-commutative`
1072×	`associate-*r/`
894×	`distribute-lft-in`
716×	`associate-*l/`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	260	62
2	3313	62

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
(log1p.f64 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N))))

Outputs

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

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate--l+`
820×	`associate--r+`
544×	`distribute-lft-in`
534×	`+-commutative`
524×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	11922
1	1403	10798
2	6621	10794

Stop Event

1×	node limit

Counts

166 → 274

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 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(log.f64 (-.f64 1 (log.f64 N)))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (/.f64 N (-.f64 1 (log.f64 N))))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (+.f64 (/.f64 N (-.f64 1 (log.f64 N))) (.f64 -1/2 (.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)) (/.f64 1 (-.f64 1 (log.f64 N))))))))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (+.f64 (/.f64 N (-.f64 1 (log.f64 N))) (+.f64 (.f64 1/6 (.f64 (pow.f64 N 3) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3)))))) (.f64 -1/2 (.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)) (/.f64 1 (-.f64 1 (log.f64 N)))))))))
(+.f64 (log.f64 -1/2) (*.f64 -2 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -2 (log.f64 (/.f64 1 N)))) (.f64 2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 N))))) 4) (pow.f64 N 2))))) (*.f64 2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 -24 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 N))))) 16) (pow.f64 N 3))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 N))))) 4) (pow.f64 N 2)))))) (.f64 2 (/.f64 1 N)))
(+.f64 (log.f64 -1/2) (*.f64 -2 (log.f64 (/.f64 -1 N))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -2 (log.f64 (/.f64 -1 N)))) (.f64 2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4) (pow.f64 N 2))) (+.f64 (log.f64 -1/2) (.f64 -2 (log.f64 (/.f64 -1 N))))) (*.f64 2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 24 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 16) (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4) (pow.f64 N 2))) (+.f64 (log.f64 -1/2) (.f64 -2 (log.f64 (/.f64 -1 N)))))) (.f64 2 (/.f64 1 N)))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(+.f64 (.f64 N (.f64 N -1/2)) (+.f64 N (neg.f64 (log.f64 N))))
(+.f64 (.f64 N (.f64 N -1/2)) (-.f64 N (log.f64 N)))
(+.f64 (.f64 N (.f64 N -1/2)) (*.f64 1 (+.f64 N (neg.f64 (log.f64 N)))))
(+.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) N)
(+.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) N))
(+.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) N))
(+.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))) (log.f64 N)) N))
(+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 0)
(+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))) (log.f64 N)))
(+.f64 1 (+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) -1))
(+.f64 1 (-.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 1))
(+.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) -1)
(+.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (.f64 N (.f64 N -1/2))))
(+.f64 (+.f64 N 1) (+.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) -1))
(+.f64 (+.f64 N 1) (-.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 1))
(+.f64 (-.f64 (+.f64 (.f64 N (.f64 N -1/2)) 1) (log.f64 N)) (expm1.f64 (log.f64 N)))
(+.f64 (-.f64 (+.f64 (.f64 N (.f64 N -1/2)) 1) (log.f64 N)) (+.f64 N -1))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (.f64 N (.f64 N -1/2)))
(+.f64 -1 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(+.f64 (-.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 N) N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 1)
(-.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (-.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N -1/2)))) (-.f64 1 (+.f64 N (neg.f64 (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N -1/2)))) (+.f64 1 (-.f64 (log.f64 N) N)))
(-.f64 (exp.f64 (log1p.f64 N)) (-.f64 1 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(-.f64 (+.f64 1 (+.f64 N (.f64 N (.f64 N -1/2)))) (+.f64 (log.f64 N) 1))
(-.f64 (+.f64 1 (+.f64 N (.f64 N (.f64 N -1/2)))) (-.f64 (log.f64 N) -1))
(-.f64 (+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 2) 2)
(-.f64 (/.f64 (.f64 (.f64 N N) (.f64 N N)) (/.f64 (+.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 1/4)) (-.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) N))
(-.f64 (/.f64 (.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)) (/.f64 (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) -1/8)) (-.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))) N))
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(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) 1) 1) (+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 2))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (+.f64 N (.f64 N (.f64 N -1/2)))) (.f64 (log.f64 N) (log.f64 N))) 1) (+.f64 N (+.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 3) 1) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (+.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 N (.f64 N (.f64 N -1/2))) 3) (pow.f64 (log.f64 N) 3)) 1) (+.f64 (.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (+.f64 N (.f64 N (.f64 N -1/2)))) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log.f64 N) (+.f64 N (.f64 N (.f64 N -1/2)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 1) (neg.f64 (-.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3))) 1) (neg.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (sqrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (sqrt.f64 (-.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3))) (sqrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (sqrt.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (.f64 (cbrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (cbrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (cbrt.f64 (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3))) (.f64 (cbrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (cbrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (/.f64 1 (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (+.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)) (pow.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 3)) (/.f64 1 (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (+.f64 (.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)) (.f64 (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3))) (/.f64 1 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3) 3)) (/.f64 1 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))) (-.f64 (+.f64 (.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)) (.f64 (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3))) (.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)) 3))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) 1) (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (sqrt.f64 (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (sqrt.f64 (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (.f64 (cbrt.f64 (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (cbrt.f64 (-.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (cbrt.f64 (-.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (+.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (sqrt.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3)) 1) (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3)) (sqrt.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))) (sqrt.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))) (cbrt.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))
(pow.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) 1)
(pow.f64 (sqrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) 2)
(pow.f64 (cbrt.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) 3)
(pow.f64 (.f64 (.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) 1/3)
(sqrt.f64 (.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(log.f64 (exp.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(cbrt.f64 (.f64 (.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(exp.f64 (log.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(fma.f64 1 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 1 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) N)
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (sqrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 (.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (cbrt.f64 (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))) N)
(fma.f64 (.f64 (cbrt.f64 N) (cbrt.f64 N)) (cbrt.f64 N) (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) 1)
(.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))) 1)
(.f64 1 (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(.f64 (sqrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (sqrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))))
(.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(pow.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 3)
(pow.f64 (.f64 (.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 1/3)
(sqrt.f64 (.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))))
(log.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(cbrt.f64 (.f64 (.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (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 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 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 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (.f64 N (.f64 N -1/2)))
(fma.f64 N (*.f64 N -1/2) N)
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (.f64 N (.f64 N -1/2)))
(fma.f64 N (*.f64 N -1/2) N)
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N (.f64 N -1/2))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(log.f64 (-.f64 1 (log.f64 N)))
(log1p.f64 (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (/.f64 N (-.f64 1 (log.f64 N))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 N))) (/.f64 N (-.f64 1 (log.f64 N))))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (+.f64 (/.f64 N (-.f64 1 (log.f64 N))) (.f64 -1/2 (.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)) (/.f64 1 (-.f64 1 (log.f64 N))))))))
(+.f64 (+.f64 (log.f64 (-.f64 1 (log.f64 N))) (/.f64 N (-.f64 1 (log.f64 N)))) (.f64 (.f64 N (*.f64 N -1/2)) (+.f64 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)) (/.f64 1 (-.f64 1 (log.f64 N))))))
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(pow.f64 (.f64 (.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) 1/3)
(cbrt.f64 (.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N))) (.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N))) (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)) 3))
(sqrt.f64 (.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(log.f64 (exp.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(cbrt.f64 (.f64 (.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(cbrt.f64 (.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N))) (.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N))) (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)) 3))
(exp.f64 (log.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 1 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 1 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)) N)
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (sqrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) N)
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 (.f64 (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (cbrt.f64 (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (cbrt.f64 (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))) N)
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(fma.f64 (.f64 (cbrt.f64 N) (cbrt.f64 N)) (cbrt.f64 N) (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) 1)
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))) 1)
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(.f64 1 (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N)))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(.f64 (sqrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (sqrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))))) (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(pow.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) 1)
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 2)
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 3)
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(pow.f64 (.f64 (.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) 1/3)
(cbrt.f64 (.f64 (log1p.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N)))) (.f64 (log1p.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N)))) (log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))) 3))
(sqrt.f64 (.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (*.f64 N -1/2)) (log.f64 N))))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(log.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(cbrt.f64 (.f64 (.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))) (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(cbrt.f64 (.f64 (log1p.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N)))) (.f64 (log1p.f64 (fma.f64 N (.f64 N -1/2) (-.f64 N (log.f64 N)))) (log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))))))
(log1p.f64 (fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N))))
(log1p.f64 (-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)))

eval1.3s (12%)

Compiler: Compiled 74963 to 40000 computations (46.6% saved)

prune565.0ms (5.3%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	2032	6	2038
Fresh	0	4	4
Picked	1	0	1
Done	0	7	7
Total	2033	17	2050

Error

Counts

2050 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(pow.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 1 N))) 2)
▶	47.4b	(/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N N))
	33.2b	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶	47.4b	(/.f64 (+.f64 -1/2 N) (*.f64 N N))
✓	31.1b	(/.f64 1 (/.f64 1 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
✓	32.0b	(/.f64 1 N)
✓	33.2b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	31.0b	(-.f64 (.f64 (.f64 N N) -1/2) (-.f64 (log.f64 N) N))
✓	28.4b	(-.f64 (log1p.f64 N) (log.f64 N))
✓	30.1b	(-.f64 N (log.f64 N))
	33.2b	(+.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)))))
	32.6b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N))))
▶	30.7b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
▶	30.1b	(+.f64 N (log.f64 (/.f64 1 N)))
✓	30.8b	(neg.f64 (log.f64 N))
▶	30.6b	(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
	61.1b	N

Compiler

Compiled 291 to 203 computations (30.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series10.0ms (0.1%)

Counts

2 → 17

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	N	@	-inf	(log.f64 (/.f64 1 N))
1.0ms	N	@	-inf	(+.f64 N (log.f64 (/.f64 1 N)))
0.0ms	N	@	0	(+.f64 N (log.f64 (/.f64 1 N)))
0.0ms	N	@	inf	(+.f64 N (log.f64 (/.f64 1 N)))
0.0ms	N	@	0	(log.f64 (/.f64 1 N))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`add-sqr-sqrt`
1662×	`*-un-lft-identity`
1554×	`add-cube-cbrt`
1538×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	165	20
2	2096	20

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-/r*`
976×	`unswap-sqr`
614×	`*-commutative`
522×	`associate-+r+`
418×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1272
1	343	1192
2	2101	1152

Stop Event

1×	node limit

Counts

80 → 74

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.3b	(/.f64 (+.f64 -1/2 N) (*.f64 N N))

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`add-sqr-sqrt`
1776×	`*-un-lft-identity`
1676×	`add-cube-cbrt`
1660×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	159	19
2	2267	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-*r/`
992×	`associate-*l/`
860×	`associate-/l*`
692×	`associate-+r-`
636×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1211
1	241	1199
2	1030	965
3	6931	965

Stop Event

1×	node limit

Counts

45 → 44

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 N (-.f64 N 1/2))
✓	0.0b	(/.f64 N (/.f64 N (-.f64 N 1/2)))
✓	14.3b	(/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N N))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`associate-/l/`
1064×	`*-commutative`
644×	`swap-sqr`
436×	`distribute-lft-neg-in`
396×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	63
1	216	39
2	3623	39

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N (/.f64 1 (*.f64 N N))) (*.f64 (/.f64 1 (*.f64 N N)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N (/.f64 1 (*.f64 N N))) (*.f64 -1/2 (/.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 N N)) -1/2) (*.f64 N (/.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 1 (*.f64 N N))) (*.f64 N (/.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (*.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (/.f64 N (+.f64 N -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N -1/2) (/.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N))) (sqrt.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2))) (*.f64 (sqrt.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2))) (/.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2))) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N))) (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N))) (cbrt.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 N N) (+.f64 N -1/2)) (*.f64 N N))) (/.f64 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simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1268×	`times-frac`
1028×	`associate-r`
982×	`associate-/r*`
720×	`associate-l`
706×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	449	5387
1	1311	4615
2	7717	4615

Stop Event

1×	node limit

Counts

251 → 279

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
	0.0b	(-.f64 N (log.f64 N))
✓	0.1b	(.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))
✓	0.3b	(*.f64 N 1/3)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite149.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`associate-*l/`
730×	`associate-+l+`
396×	`associate-/r*`
366×	`+-commutative`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	297	61
2	4261	61

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 N N)) (*.f64 (*.f64 N 1/3) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N 1/3) (*.f64 N N)) (*.f64 -1/2 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 N N)) 1) (*.f64 (*.f64 (*.f64 N 1/3) (*.f64 N N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 N 1/3) (*.f64 N N)) 1) (*.f64 (*.f64 -1/2 (*.f64 N N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 N (*.f64 N (+.f64 (*.f64 N 1/3) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N N) (/.f64 1 (+.f64 (*.f64 N 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3))) (/.f64 (-.f64 -1/2 (*.f64 N 1/3)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (pow.f64 (*.f64 N 1/3) 3)) (/.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)) (*.f64 -1/2 (*.f64 N 1/3)))) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 N N) (-.f64 1/4 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)))) (-.f64 -1/2 (*.f64 N 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 N N) (+.f64 -1/8 (pow.f64 (*.f64 N 1/3) 3))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)) (*.f64 -1/2 (*.f64 N 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3))) (*.f64 N N)) (-.f64 -1/2 (*.f64 N 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 (*.f64 N 1/3) 3)) (*.f64 N N)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)) (*.f64 -1/2 (*.f64 N 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 N N)) (*.f64 -1/2 (*.f64 N N))) (*.f64 (*.f64 (*.f64 N 1/3) (*.f64 N N)) (*.f64 (*.f64 N 1/3) (*.f64 N N)))) (-.f64 (*.f64 -1/2 (*.f64 N N)) (*.f64 (*.f64 N 1/3) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 N N)) 3) (pow.f64 (*.f64 (*.f64 N 1/3) (*.f64 N N)) 3)) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 N N)) (*.f64 -1/2 (*.f64 N N))) (-.f64 (*.f64 (*.f64 (*.f64 N 1/3) (*.f64 N N)) (*.f64 (*.f64 N 1/3) (*.f64 N N))) (*.f64 (*.f64 -1/2 (*.f64 N N)) (*.f64 (*.f64 N 1/3) (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)) 1/4) (*.f64 N N)) (-.f64 (*.f64 N 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)))) (*.f64 N N)) (neg.f64 (-.f64 -1/2 (*.f64 N 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1/8 (pow.f64 (*.f64 N 1/3) 3))) (*.f64 N N)) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)) (*.f64 -1/2 (*.f64 N 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 N N) (-.f64 1/4 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)))) 1) (-.f64 -1/2 (*.f64 N 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simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-r`
876×	`associate-/l*`
870×	`associate-l`
488×	`distribute-lft-in`
460×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	474	12917
1	1449	11457

Stop Event

1×	node limit

Counts

201 → 268

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 N (log.f64 N))
✓	0.0b	(log1p.f64 (-.f64 N (log.f64 N)))
✓	3.2b	(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(log1p.f64 (-.f64 N (log.f64 N)))
0.0ms	N	@	inf	(log1p.f64 (-.f64 N (log.f64 N)))
0.0ms	N	@	0	(log1p.f64 (-.f64 N (log.f64 N)))
0.0ms	N	@	0	(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
0.0ms	N	@	-inf	(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`add-sqr-sqrt`
1530×	`*-un-lft-identity`
1428×	`add-cube-cbrt`
1412×	`add-cbrt-cube`
1398×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	163	26
2	1900	26

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1292×	`times-frac`
994×	`associate-/l*`
950×	`associate-/r*`
736×	`associate-+l+`
614×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2638
1	567	2206
2	2305	2160

Stop Event

1×	node limit

Counts

82 → 123

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

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

eval338.0ms (3.2%)

Compiler: Compiled 20993 to 10559 computations (49.7% saved)

prune234.0ms (2.2%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	880	4	884
Fresh	0	5	5
Picked	1	0	1
Done	2	9	11
Total	883	18	901

Error

Counts

901 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(pow.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 1 N))) 2)
	45.1b	(/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (*.f64 N N))
	33.2b	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	47.4b	(/.f64 (+.f64 -1/2 N) (*.f64 N N))
	46.8b	(/.f64 N (*.f64 N N))
✓	31.1b	(/.f64 1 (/.f64 1 (+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (log.f64 N)))))
✓	32.0b	(/.f64 1 N)
✓	33.2b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	30.7b	(-.f64 (+.f64 N (.f64 N (.f64 N (+.f64 (*.f64 N 1/3) -1/2)))) (log.f64 N))
✓	31.0b	(-.f64 (.f64 (.f64 N N) -1/2) (-.f64 (log.f64 N) N))
✓	28.4b	(-.f64 (log1p.f64 N) (log.f64 N))
✓	30.1b	(-.f64 N (log.f64 N))
	33.2b	(+.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)))))
	32.6b	(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N))))
	30.2b	(+.f64 N (*.f64 3 (log.f64 (cbrt.f64 (/.f64 1 N)))))
✓	30.1b	(+.f64 N (log.f64 (/.f64 1 N)))
✓	30.8b	(neg.f64 (log.f64 N))
	61.1b	N

Compiler

Compiled 183 to 128 computations (30.1% saved)

regimes41.0ms (0.4%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	N
11.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.0b	2	`N`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 277 to 153 computations (44.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.064376100501363e-5	1.349688779727208

Compiler

Compiled 12 to 9 computations (25% saved)

regimes64.0ms (0.6%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.0b	2	`N`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 194 to 107 computations (44.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.064376100501363e-5	1.349688779727208

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.4b	2	`N`

Compiler

Compiled 165 to 88 computations (46.7% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.35011244807901976	93951.25253216672

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 336 to 225 computations (33% saved)

regimes19.0ms (0.2%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.4b	2	`N`

Compiler

Compiled 122 to 62 computations (49.2% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.35011244807901976	93951.25253216672

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 336 to 225 computations (33% saved)

regimes64.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

61.0ms

Results

Error	Segments	Branch
0.5b	2	`N`

Compiler

Compiled 108 to 56 computations (48.1% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.35011244807901976	93951.25253216672

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 300 to 198 computations (34% saved)

regimes23.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.5b	2	`N`

Compiler

Compiled 98 to 52 computations (46.9% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.35011244807901976	93951.25253216672

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 300 to 198 computations (34% saved)

regimes16.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.5b	2	`N`

Compiler

Compiled 88 to 47 computations (46.6% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.35011244807901976	93951.25253216672

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 264 to 180 computations (31.8% saved)

regimes31.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.5b	2	`N`

Compiler

Compiled 82 to 43 computations (47.6% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.35011244807901976	93951.25253216672

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 246 to 162 computations (34.1% saved)

regimes13.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 78 to 42 computations (46.2% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.35011244807901976	93951.25253216672

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 237 to 162 computations (31.6% saved)

regimes16.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
30.8b	2	`N`

Compiler

Compiled 75 to 40 computations (46.7% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.35011244807901976	93951.25253216672

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 309 to 207 computations (33% saved)

regimes11.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
30.9b	2	`N`

Compiler

Compiled 57 to 30 computations (47.4% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	3127313.5938305333	25020516745.79855

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -30.7b remaining (-96.1%)

Threshold costs -30.7b (-96.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
32.0b	1	`N`

Compiler

Compiled 35 to 19 computations (45.7% saved)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

154×	`*-commutative`
128×	`+-commutative`
122×	`distribute-lft-neg-in`
76×	`neg-sub0`
56×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	979
1	125	979
2	157	979
3	193	979
4	240	979
5	323	979
6	413	979
7	494	979
8	540	979
9	554	979

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.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 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 N 1) (-.f64 (+.f64 N (.f64 N (.f64 N (+.f64 (.f64 N 1/3) -1/2)))) (log.f64 N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (.f64 N N)))))
(if (<=.f64 N 1) (+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (.f64 N 1/3)))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (-.f64 (.f64 (.f64 N N) -1/2) (-.f64 (log.f64 N) N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (+.f64 N (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 8106479329266893/2251799813685248) (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (.f64 N N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (.f64 N N)))))
(if (<=.f64 N 5000000) (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (.f64 N N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (.f64 N N))))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.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 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.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 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (*.f64 N N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (*.f64 N N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 N 1) (-.f64 (+.f64 N (.f64 N (.f64 N (+.f64 (.f64 N 1/3) -1/2)))) (log.f64 N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (.f64 N N)))))
(if (<=.f64 N 1) (-.f64 (+.f64 N (.f64 N (.f64 N (+.f64 (.f64 N 1/3) -1/2)))) (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (.f64 N N)))))
(if (<=.f64 N 1) (-.f64 (+.f64 N (.f64 N (.f64 N (+.f64 (.f64 N 1/3) -1/2)))) (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (.f64 N N)))))
(if (<=.f64 N 1) (+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (.f64 N 1/3)))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (.f64 N N)))))
(if (<=.f64 N 1) (+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 (.f64 N 1/3) -1/2))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (.f64 N N)))))
(if (<=.f64 N 1) (+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 (.f64 N 1/3) -1/2))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (.f64 N N)))))
(if (<=.f64 N 1) (+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 (.f64 N 1/3) -1/2))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (-.f64 (.f64 (.f64 N N) -1/2) (-.f64 (log.f64 N) N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (-.f64 (.f64 (.f64 N N) -1/2) (-.f64 (log.f64 N) N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) -1/2)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) -1/2)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 4278419646001971/4503599627370496) (+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (+.f64 N (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (+.f64 N (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (+.f64 N (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 7746191359077253/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (*.f64 N N)))))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (*.f64 N N)))))
(if (<=.f64 N 8106479329266893/2251799813685248) (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (.f64 N N)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 1/2 (.f64 N N)))))
(if (<=.f64 N 8106479329266893/2251799813685248) (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (.f64 N N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 (.f64 N N) (neg.f64 N))) (/.f64 -1/2 (.f64 N N)))))
(if (<=.f64 N 8106479329266893/2251799813685248) (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (.f64 N N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/3 (.f64 N (.f64 N (neg.f64 N)))) (/.f64 -1/2 (.f64 N N)))))
(if (<=.f64 N 5000000) (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (.f64 N N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (.f64 N N))))
(if (<=.f64 N 5000000) (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) (.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (.f64 N N))))
(/.f64 1 N)
N

Compiler

Compiled 358 to 240 computations (33% saved)

soundness168.0ms (1.6%)

Algorithm

3×	egg-herbie

Rules

1168×	`associate-/r/`
1146×	`associate-r`
898×	`associate-l`
840×	`fma-def`
804×	`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	128	1268
1	335	1230
2	1299	1224
3	5987	1224
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
1×	node limit
1×	saturated

Compiler

Compiled 287 to 226 computations (21.3% saved)

end229.0ms (2.2%)

Compiler: Compiled 346 to 183 computations (47.1% 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	85	979
1	125	979
2	157	979
3	193	979
4	240	979
5	323	979
6	413	979
7	494	979
8	540	979
9	554	979

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	85	979
1	125	979
2	157	979
3	193	979
4	240	979
5	323	979
6	413	979
7	494	979
8	540	979
9	554	979

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	85	979
1	125	979
2	157	979
3	193	979
4	240	979
5	323	979
6	413	979
7	494	979
8	540	979
9	554	979