Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.3s (32.2%)

Results

986.0ms	2014×	body	1024	valid
941.0ms	4961×	body	256	valid
204.0ms	994×	body	512	valid
170.0ms	287×	body	2048	valid

Bogosity

preprocess12.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

42.57%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.58%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	42.57%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.78%	(log.f64 (+.f64 N 1))
✓	6.52%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1968×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1824×	`add-cube-cbrt`
1804×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	186	20
2	2458	20

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

722×	`unswap-sqr`
676×	`distribute-lft-in`
636×	`associate-+l+`
618×	`distribute-rgt-in`
560×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2072
1	498	1920
2	2050	1910

Stop Event

1×	node limit

Counts

82 → 131

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.52%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 70

Calls

Call 1

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

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

eval52.0ms (0.7%)

Compiler: Compiled 2673 to 1348 computations (49.6% saved)

prune30.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	192	9	201
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	193	10	203

Error

0.02%

Counts

203 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.63%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
▶	51.68%	(/.f64 1 N)
	53.84%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	53.73%	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
✓	42.58%	(-.f64 (log1p.f64 N) (log.f64 N))
	45.24%	(-.f64 N (log.f64 N))
	96.34%	(+.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)))
▶	53.1%	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
▶	46.57%	(neg.f64 (log.f64 N))
▶	42.28%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 194 to 134 computations (30.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 N 1) N)
✓	6.28%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 107

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize4.0ms (0.1%)

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

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
✓	0.21%	(/.f64 (/.f64 -1/2 N) N)
✓	0.29%	(/.f64 1/3 (pow.f64 N 3))
✓	20.56%	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))

Compiler

Compiled 49 to 35 computations (28.6% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite115.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`associate-/l*`
1136×	`associate-/r/`
386×	`associate-+l+`
340×	`+-commutative`
326×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	331	90
2	4792	90

Stop Event

1×	node limit

Counts

4 → 255

Calls

Call 1

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

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

simplify126.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1224×	`associate-r`
834×	`associate-l`
832×	`*-commutative`
808×	`associate-/r*`
520×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	15803
1	2124	14657

Stop Event

1×	node limit

Counts

291 → 423

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.54%	(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	0.69%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
	6.52%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series10.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
3.0ms	N	@	inf	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
1.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
1.0ms	N	@	0	(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
0.0ms	N	@	-inf	(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`add-sqr-sqrt`
1838×	`*-un-lft-identity`
1734×	`add-cube-cbrt`
1716×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	210	34
2	2380	34

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

Outputs

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

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

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-lft-in`
1430×	`distribute-rgt-in`
618×	`associate-+r+`
612×	`associate-+l+`
562×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	281	5036
1	802	4900
2	3117	4900

Stop Event

1×	node limit

Counts

76 → 115

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (log.f64 N) (pow.f64 1 1/3)))
(neg.f64 (log.f64 N))
(+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))
(fma.f64 N (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N)))
(-.f64 (.f64 N (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (log.f64 N))
(fma.f64 N (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (neg.f64 (log.f64 N)))
(+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 N) 1) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))))
(fma.f64 (.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (cbrt.f64 -1))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 -1/3 (+.f64 1/2 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))) (fma.f64 N (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N))))
(-.f64 (fma.f64 (.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (.f64 (cbrt.f64 -1) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) (cbrt.f64 -1)))))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 2/9 (.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) -1/3))) (.f64 N (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) (log.f64 N))
(-.f64 (fma.f64 (.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18))))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 2/9 (.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) -1/3))) (.f64 N (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) (log.f64 N))
(+.f64 (.f64 (pow.f64 N 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (.f64 (pow.f64 (.f64 (log.f64 N) 1) 1/3) (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (cbrt.f64 -1)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 8)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))))))) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 N) 1) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (.f64 N (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (.f64 -1 (.f64 (log.f64 N) (pow.f64 1 1/3))))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 1 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.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 (log.f64 N) (log1p.f64 N))))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(fabs.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

eval463.0ms (6.4%)

Compiler: Compiled 20581 to 15197 computations (26.2% saved)

prune152.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	712	3	715
Fresh	2	2	4
Picked	1	0	1
Done	3	2	5
Total	718	7	725

Error

Counts

725 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.84%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	51.68%	(/.f64 1 N)
▶	53.84%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	45.24%	(-.f64 N (log.f64 N))
▶	53.1%	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N))))
✓	46.57%	(neg.f64 (log.f64 N))
▶	0.01%	(log1p.f64 (+.f64 (/.f64 1 N) 0))

Compiler

Compiled 108 to 78 computations (27.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (+.f64 (/.f64 1 N) 0))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 47

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.14%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite99.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	174	19
2	2265	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-+r+`
1098×	`associate-+l+`
772×	`fma-def`
704×	`*-commutative`
516×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1094
1	230	1086
2	877	858
3	3454	858
4	6606	858

Stop Event

1×	node limit

Counts

44 → 41

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	0.54%	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(/.f64 1/2 (*.f64 N N))
0.0ms	N	@	0	(/.f64 1/2 (*.f64 N N))
0.0ms	N	@	inf	(/.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)))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`associate-/r*`
884×	`*-commutative`
748×	`unswap-sqr`
518×	`associate-/l*`
494×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	204	32
2	2856	32

Stop Event

1×	node limit

Counts

2 → 216

Calls

Call 1

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

Outputs

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

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

simplify141.0ms (2%)

Algorithm

1×	egg-herbie

Rules

978×	`+-commutative`
764×	`associate-r`
674×	`fma-def`
630×	`*-commutative`
630×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	560	11102
1	1602	9798
2	6889	9798

Stop Event

1×	node limit

Counts

240 → 356

Calls

Call 1

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

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.18%	(.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N)))
	0.21%	(/.f64 (/.f64 -1/2 N) N)
✓	0.58%	(/.f64 1/3 (*.f64 N N))
✓	20.56%	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (.f64 (/.f64 1 N) (/.f64 1/3 (.f64 N N))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite116.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`associate-/r/`
1068×	`associate-/l/`
430×	`associate-+l+`
356×	`+-commutative`
334×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	330	69
2	5133	69

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

simplify176.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-r`
1182×	`+-commutative`
960×	`associate-l`
672×	`associate-/r*`
566×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	529	11639
1	1596	10517
2	7629	10517

Stop Event

1×	node limit

Counts

211 → 310

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 N (log.f64 N))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

eval508.0ms (7.1%)

Compiler: Compiled 21598 to 15755 computations (27.1% saved)

prune197.0ms (2.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	865	5	870
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	868	9	877

Error

Counts

877 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.85%	(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)
▶	74.23%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	53.84%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	51.68%	(/.f64 1 N)
✓	53.84%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	53.1%	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 (/.f64 (/.f64 1/3 N) N) N))
✓	46.57%	(neg.f64 (log.f64 N))
▶	0.01%	(log1p.f64 (/.f64 1 N))
	95.25%	N

Compiler

Compiled 71 to 48 computations (32.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 47

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.21%	(/.f64 (/.f64 -1/2 N) N)
✓	0.21%	(/.f64 (/.f64 1/3 N) N)
✓	0.5%	(/.f64 1/3 N)
✓	20.56%	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 (/.f64 (/.f64 1/3 N) N) N))

Compiler

Compiled 57 to 37 computations (35.1% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite103.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`distribute-rgt-in`
1278×	`distribute-lft-in`
402×	`associate-+l+`
376×	`+-commutative`
332×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	331	63
2	5213	63

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

simplify147.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-l`
1162×	`associate-r`
868×	`+-commutative`
714×	`associate-+l+`
698×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	420	7868
1	1227	7516
2	6419	7516

Stop Event

1×	node limit

Counts

162 → 218

Calls

Call 1

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	20.53%	(/.f64 (+.f64 N -1/2) (*.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	@	0	(/.f64 (+.f64 N -1/2) (*.f64 N N))
0.0ms	N	@	-inf	(/.f64 (+.f64 N -1/2) (*.f64 N N))
0.0ms	N	@	inf	(/.f64 (+.f64 N -1/2) (*.f64 N N))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`add-sqr-sqrt`
1766×	`*-un-lft-identity`
1668×	`add-cube-cbrt`
1652×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	159	19
2	2263	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1768×	`associate-+r+`
1590×	`associate-+l+`
820×	`associate-*r/`
606×	`unswap-sqr`
580×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1157
1	255	1145
2	934	911
3	5068	911

Stop Event

1×	node limit

Counts

45 → 47

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

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

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 N (-.f64 N 1/2))
✓	0.02%	(/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N)
✓	0.03%	(/.f64 N (/.f64 N (-.f64 N 1/2)))
✓	0.14%	(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 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	@	0	(/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N)
0.0ms	N	@	0	(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)
0.0ms	N	@	inf	(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)

rewrite95.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 332

Calls

Call 1

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

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

simplify136.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1114×	`times-frac`
956×	`associate-/l*`
870×	`associate-/r*`
802×	`*-commutative`
778×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	672	8236
1	1833	7100
2	7714	7100

Stop Event

1×	node limit

Counts

380 → 420

Calls

Call 1

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

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

eval352.0ms (4.9%)

Compiler: Compiled 15517 to 10407 computations (32.9% saved)

prune151.0ms (2.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	800	1	801
Fresh	0	1	1
Picked	1	0	1
Done	0	7	7
Total	801	9	810

Error

Counts

810 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	49.1%	(/.f64 (/.f64 (/.f64 N (+.f64 1 (/.f64 1/2 N))) N) N)
✓	74.23%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	53.84%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	51.68%	(/.f64 1 N)
✓	53.84%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	53.1%	(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 (/.f64 (/.f64 1/3 N) N) N))
✓	46.57%	(neg.f64 (log.f64 N))
✓	0.01%	(log1p.f64 (/.f64 1 N))
	95.25%	N

Compiler

Compiled 71 to 49 computations (31% saved)

regimes20.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.01%	1	`N`
0.01%	1	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 191 to 114 computations (40.3% saved)

regimes14.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.61%	2	`N`

Compiler

Compiled 91 to 56 computations (38.5% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.05898154260194115	2.206886511255974

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 180 to 128 computations (28.9% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
49.1%	1	`N`

Compiler

Compiled 88 to 54 computations (38.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total -29.5b remaining (-89.1%)

Threshold costs -29.5b (-89.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
51.68%	1	`N`

Compiler

Compiled 30 to 18 computations (40% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	117
1	38	117
2	40	117
3	41	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 33 computations (31.3% saved)

soundness189.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1609
1	424	1559
2	1712	1547
3	6886	1547
0	63	717
1	152	619
2	582	523
3	2222	515
4	5340	515

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 134 to 111 computations (17.2% saved)

end34.0ms (0.5%)

Compiler: Compiled 44 to 29 computations (34.1% 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	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	104	15
7	143	15
8	189	15
9	232	15
10	256	15
11	258	15
0	1	1

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

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

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