Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (28.2%)

Results

655.0ms	2038×	body	1024	valid
616.0ms	4948×	body	256	valid
202.0ms	1014×	body	512	valid
128.0ms	256×	body	2048	valid

Bogosity

preprocess10.0ms (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)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.8b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 N)
✓	2.8b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite225.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	144	20
2	1867	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

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

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

76 → 128

Calls

Call 1

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

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

eval30.0ms (0.5%)

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

prune22.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Error

0.0b

Counts

129 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.4b	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
▶	31.6b	(/.f64 1 N)
	32.9b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	32.4b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
✓	28.8b	(-.f64 (log1p.f64 N) (log.f64 N))
	30.5b	(-.f64 N (log.f64 N))
▶	30.9b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
▶	31.5b	(neg.f64 (log.f64 N))
▶	28.7b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 146 to 104 computations (28.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 N 1) N)
✓	2.6b	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 107

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize5.0ms (0.1%)

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series9.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(-.f64 N (log.f64 N))
2.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))
1.0ms	N	@	0	(*.f64 N 1/3)
0.0ms	N	@	-inf	(.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))

rewrite159.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`associate-*r/`
980×	`distribute-rgt-in`
934×	`distribute-lft-in`
896×	`associate-*l/`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	265	48
2	3569	48

Stop Event

1×	node limit

Counts

4 → 274

Calls

Call 1

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

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

simplify151.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-r`
1180×	`associate-/l*`
1020×	`associate-l`
636×	`*-commutative`
478×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	695	14074
1	1932	13344

Stop Event

1×	node limit

Counts

322 → 423

Calls

Call 1

Inputs
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))
(*.f64 1/3 (pow.f64 N 3))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(*.f64 1/3 (pow.f64 N 3))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -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))))))
-1/2
(-.f64 (*.f64 1/3 N) 1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(*.f64 1/3 N)
(-.f64 (*.f64 1/3 N) 1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(*.f64 1/3 N)
(-.f64 (*.f64 1/3 N) 1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N 1/3))) 1)
(pow.f64 (*.f64 N 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 N 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 N 1/3)) 3)
(pow.f64 (*.f64 1/27 (pow.f64 N 3)) 1/3)
(sqrt.f64 (.f64 (.f64 N N) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N 1/3))))
(cbrt.f64 (*.f64 1/27 (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 N 1/3)))
(exp.f64 (log.f64 (*.f64 N 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 N 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 N 1/3)))
(+.f64 (.f64 N (.f64 N -1/2)) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 N (*.f64 N -1/2)))
(+.f64 (.f64 (.f64 N (.f64 N -1/2)) 1) (.f64 (*.f64 1/3 (pow.f64 N 3)) 1))
(+.f64 (.f64 (.f64 1/3 (pow.f64 N 3)) 1) (.f64 (.f64 N (*.f64 N -1/2)) 1))
(+.f64 (.f64 N (.f64 (.f64 N 1/3) N)) (.f64 N (*.f64 -1/2 N)))
(+.f64 (.f64 N (.f64 -1/2 N)) (.f64 N (.f64 (*.f64 N 1/3) N)))
(+.f64 (.f64 1 (.f64 (.f64 N (.f64 N -1/2)) 1)) (.f64 1 (.f64 (*.f64 1/3 (pow.f64 N 3)) 1)))
(+.f64 (.f64 (.f64 N (.f64 N 1/3)) N) (.f64 (*.f64 N -1/2) N))
(+.f64 (.f64 (.f64 N -1/2) N) (.f64 (.f64 N (*.f64 N 1/3)) N))
(+.f64 (.f64 (.f64 (.f64 N (.f64 N -1/2)) 1) 1) (.f64 (.f64 (*.f64 1/3 (pow.f64 N 3)) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 N (.f64 N (fma.f64 N 1/3 -1/2))))) 1)
(/.f64 (*.f64 N N) (/.f64 1 (fma.f64 N 1/3 -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (/.f64 (+.f64 -1/2 (.f64 -1/3 N)) (.f64 N N)))
(/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (/.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))) (*.f64 N N)))
(/.f64 (.f64 (.f64 N N) (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (.f64 (.f64 N N) (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 N N)) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 N N)) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (-.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 1/3 (pow.f64 N 3)))) (-.f64 (.f64 N (.f64 N -1/2)) (*.f64 1/3 (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (.f64 1/3 (pow.f64 N 3)) 3)) (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (-.f64 (.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 1/3 (pow.f64 N 3))) (.f64 (.f64 N (.f64 N -1/2)) (*.f64 1/3 (pow.f64 N 3))))))
(/.f64 (.f64 N (.f64 N (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (.f64 N (.f64 N (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) 1/9) 1/4)) (-.f64 (*.f64 N 1/3) -1/2))
(/.f64 (.f64 (.f64 N N) (neg.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (neg.f64 (+.f64 -1/2 (*.f64 -1/3 N))))
(/.f64 (.f64 (.f64 N N) (neg.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (neg.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))))
(/.f64 (.f64 1 (.f64 (.f64 N N) (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (+.f64 -1/2 (.f64 -1/3 N)))
(/.f64 (.f64 1 (.f64 (.f64 N N) (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2))))
(/.f64 (.f64 1 (.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 N N))) (+.f64 -1/2 (.f64 -1/3 N)))
(/.f64 (.f64 1 (.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 N N))) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 1/3 (pow.f64 N 3))))) (-.f64 (.f64 N (.f64 N -1/2)) (.f64 1/3 (pow.f64 N 3))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (.f64 1/3 (pow.f64 N 3)) 3))) (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (-.f64 (.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 1/3 (pow.f64 N 3))) (.f64 (.f64 N (.f64 N -1/2)) (.f64 1/3 (pow.f64 N 3))))))
(/.f64 (.f64 (.f64 (.f64 N N) (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (.f64 (.f64 N N) (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (.f64 (.f64 N N) (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2)) (cbrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (.f64 (.f64 N N) (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 N N) 1/9) 1/4) (.f64 N N)) (-.f64 (*.f64 N 1/3) -1/2))
(/.f64 (.f64 (neg.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (.f64 N N)) (neg.f64 (+.f64 -1/2 (*.f64 -1/3 N))))
(/.f64 (.f64 (neg.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (.f64 N N)) (neg.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (.f64 (.f64 N N) (-.f64 1/4 (.f64 (.f64 N N) 1/9))) 1) (+.f64 -1/2 (.f64 -1/3 N)))
(/.f64 (.f64 (.f64 (.f64 N N) (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) 1) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2))))
(/.f64 (.f64 (.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 N N)) 1) (+.f64 -1/2 (.f64 -1/3 N)))
(/.f64 (.f64 (.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 N N)) 1) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 1/3 (pow.f64 N 3)))) 1) (-.f64 (.f64 N (.f64 N -1/2)) (.f64 1/3 (pow.f64 N 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 N (.f64 N -1/2)) 3) (pow.f64 (.f64 1/3 (pow.f64 N 3)) 3)) 1) (+.f64 (.f64 (.f64 N (.f64 N -1/2)) (.f64 N (.f64 N -1/2))) (-.f64 (.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 1/3 (pow.f64 N 3))) (.f64 (.f64 N (.f64 N -1/2)) (.f64 1/3 (pow.f64 N 3))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (.f64 N N))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (.f64 N N))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (.f64 N (-.f64 1/4 (.f64 (.f64 N N) 1/9))) N) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (.f64 (.f64 N (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) N) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (/.f64 (.f64 (.f64 N N) (-.f64 1/4 (.f64 (.f64 N N) 1/9))) 1) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (/.f64 (.f64 (.f64 N N) (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N)))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (/.f64 (.f64 (.f64 N N) (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (.f64 (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (/.f64 (.f64 (.f64 N N) (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) 1) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (/.f64 (.f64 (.f64 N N) (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (/.f64 (.f64 (.f64 N N) (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 N N)) 1) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 N N)) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N)))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 N N)) (.f64 (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (/.f64 (.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 N N)) 1) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (/.f64 (.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 N N)) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (/.f64 (.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 N N)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(pow.f64 (.f64 N (.f64 N (fma.f64 N 1/3 -1/2))) 1)
(pow.f64 (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 N (.f64 N (fma.f64 N 1/3 -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 N (.f64 N (fma.f64 N 1/3 -1/2))) 3) 1/3)
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(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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N 1/3 -1/2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N 1/3))) 3/2)
(-.f64 (/.f64 1/4 (+.f64 -1/2 (.f64 -1/3 N))) (/.f64 (.f64 N N) (/.f64 (+.f64 -1/2 (*.f64 -1/3 N)) 1/9)))
(-.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 N 1/3)))) 1)
(*.f64 (fma.f64 N 1/3 -1/2) 1)
(*.f64 1 (fma.f64 N 1/3 -1/2))
(*.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (sqrt.f64 (fma.f64 N 1/3 -1/2)))
(*.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2) (cbrt.f64 (fma.f64 N 1/3 -1/2)))
(.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (/.f64 1 (+.f64 -1/2 (.f64 -1/3 N))))
(.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (/.f64 1 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(.f64 (/.f64 1 (+.f64 -1/2 (.f64 -1/3 N))) (-.f64 1/4 (.f64 (.f64 N N) 1/9)))
(.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))) (+.f64 -1/8 (*.f64 1/27 (pow.f64 N 3))))
(.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (-.f64 1/4 (.f64 (*.f64 N N) 1/9))) (fma.f64 N 1/3 -1/2))
(.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (-.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (+.f64 1/4 (.f64 (.f64 N 1/3) (fma.f64 N 1/3 -1/2))))
(.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (-.f64 1/16 (.f64 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)) (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (+.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 -1/6 N)))
(.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (+.f64 1/64 (pow.f64 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)) 3))) (+.f64 1/16 (-.f64 (.f64 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)) (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))) (.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))))
(/.f64 1 (/.f64 1 (fma.f64 N 1/3 -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (/.f64 (+.f64 -1/2 (.f64 -1/3 N)) (sqrt.f64 (-.f64 1/4 (.f64 (*.f64 N N) 1/9)))))
(/.f64 (sqrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (/.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))) (sqrt.f64 (+.f64 -1/8 (*.f64 1/27 (pow.f64 N 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (cbrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (/.f64 (+.f64 -1/2 (.f64 -1/3 N)) (cbrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (cbrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (/.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))) (cbrt.f64 (+.f64 -1/8 (*.f64 1/27 (pow.f64 N 3))))))
(/.f64 (-.f64 (.f64 (.f64 N N) 1/9) 1/4) (-.f64 (*.f64 N 1/3) -1/2))
(/.f64 (-.f64 1/64 (.f64 (.f64 1/27 (pow.f64 N 3)) (.f64 1/27 (pow.f64 N 3)))) (.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))) (-.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))))
(/.f64 (-.f64 1/16 (.f64 (.f64 (.f64 N N) 1/9) (.f64 (.f64 N N) 1/9))) (.f64 (+.f64 -1/2 (.f64 -1/3 N)) (+.f64 (.f64 (*.f64 N N) 1/9) 1/4)))
(/.f64 (+.f64 -1/512 (pow.f64 (.f64 1/27 (pow.f64 N 3)) 3)) (.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))) (+.f64 1/64 (-.f64 (.f64 (.f64 1/27 (pow.f64 N 3)) (.f64 1/27 (pow.f64 N 3))) (.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))))))
(/.f64 (-.f64 1/64 (pow.f64 (.f64 (.f64 N N) 1/9) 3)) (.f64 (+.f64 -1/2 (.f64 -1/3 N)) (+.f64 1/16 (+.f64 (.f64 (.f64 (.f64 N N) 1/9) (.f64 (.f64 N N) 1/9)) (.f64 1/4 (.f64 (.f64 N N) 1/9))))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (neg.f64 (+.f64 -1/2 (*.f64 -1/3 N))))
(/.f64 (neg.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (neg.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) 1) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) 1) (+.f64 -1/2 (.f64 -1/3 N)))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 N N) 1/9) 1/4)) (-.f64 (.f64 N 1/3) -1/2))
(/.f64 (.f64 1 (neg.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (neg.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 1 (neg.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (neg.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (sqrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (sqrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2) (cbrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2) (cbrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 N N) 1/9) 1/4) 1) (-.f64 (.f64 N 1/3) -1/2))
(/.f64 (.f64 (neg.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) 1) (neg.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (neg.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) 1) (neg.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9))) (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2)) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3)))) (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2)) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (.f64 (-.f64 1/16 (.f64 (.f64 (.f64 N N) 1/9) (.f64 (.f64 N N) 1/9))) (/.f64 1 (+.f64 -1/2 (.f64 -1/3 N)))) (+.f64 (.f64 (*.f64 N N) 1/9) 1/4))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 (.f64 (.f64 N N) 1/9) 3)) (/.f64 1 (+.f64 -1/2 (.f64 -1/3 N)))) (+.f64 1/16 (+.f64 (.f64 (.f64 (.f64 N N) 1/9) (.f64 (.f64 N N) 1/9)) (.f64 1/4 (.f64 (.f64 N N) 1/9)))))
(/.f64 (.f64 (-.f64 1/64 (.f64 (.f64 1/27 (pow.f64 N 3)) (.f64 1/27 (pow.f64 N 3)))) (/.f64 1 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (-.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))
(/.f64 (.f64 (+.f64 -1/512 (pow.f64 (.f64 1/27 (pow.f64 N 3)) 3)) (/.f64 1 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (+.f64 1/64 (-.f64 (.f64 (.f64 1/27 (pow.f64 N 3)) (.f64 1/27 (pow.f64 N 3))) (.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) 1) (+.f64 -1/2 (*.f64 -1/3 N)))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N)))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) 1) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(pow.f64 (fma.f64 N 1/3 -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 N 1/3 -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 N 1/3 -1/2) 2))
(log.f64 (exp.f64 (fma.f64 N 1/3 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N 1/3 -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 N 1/3 -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 N 1/3 -1/2)))
(exp.f64 (log.f64 (fma.f64 N 1/3 -1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N 1/3 -1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N 1/3 -1/2)))
(fma.f64 N 1/3 -1/2)
(fma.f64 1/3 N -1/2)
(fma.f64 1 (*.f64 N 1/3) -1/2)
(fma.f64 (sqrt.f64 (.f64 N 1/3)) (sqrt.f64 (.f64 N 1/3)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 N 1/3)) 2) (cbrt.f64 (.f64 N 1/3)) -1/2)

Outputs
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 -1/2 (pow.f64 N 2))
(.f64 N (.f64 N -1/2))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(*.f64 1/3 (pow.f64 N 3))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(*.f64 1/3 (pow.f64 N 3))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -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 -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 -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))))
-1/2
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(*.f64 1/3 N)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(*.f64 1/3 N)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(-.f64 (*.f64 1/3 N) 1/2)
(fma.f64 1/3 N -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N 1/3))) 1)
(*.f64 1/3 N)
(pow.f64 (*.f64 N 1/3) 1)
(*.f64 1/3 N)
(pow.f64 (sqrt.f64 (*.f64 N 1/3)) 2)
(pow.f64 (sqrt.f64 (*.f64 1/3 N)) 2)
(pow.f64 (cbrt.f64 (*.f64 N 1/3)) 3)
(*.f64 1/3 N)
(pow.f64 (*.f64 1/27 (pow.f64 N 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 N 3) 1/27))
(sqrt.f64 (.f64 (.f64 N N) 1/9))
(sqrt.f64 (.f64 N (.f64 N 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) N))
(*.f64 N (log.f64 (exp.f64 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N 1/3))))
(*.f64 1/3 N)
(cbrt.f64 (*.f64 1/27 (pow.f64 N 3)))
(cbrt.f64 (*.f64 (pow.f64 N 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 N 1/3)))
(*.f64 1/3 N)
(exp.f64 (log.f64 (*.f64 N 1/3)))
(*.f64 1/3 N)
(exp.f64 (.f64 (log.f64 (.f64 N 1/3)) 1))
(*.f64 1/3 N)
(log1p.f64 (expm1.f64 (*.f64 N 1/3)))
(*.f64 1/3 N)
(+.f64 (.f64 N (.f64 N -1/2)) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 N (*.f64 N -1/2)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 (.f64 N (.f64 N -1/2)) 1) (.f64 (*.f64 1/3 (pow.f64 N 3)) 1))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 (.f64 1/3 (pow.f64 N 3)) 1) (.f64 (.f64 N (*.f64 N -1/2)) 1))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 N (.f64 (.f64 N 1/3) N)) (.f64 N (*.f64 -1/2 N)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
(.f64 (.f64 N N) (fma.f64 1/3 N -1/2))
(+.f64 (.f64 N (.f64 -1/2 N)) (.f64 N (.f64 (*.f64 N 1/3) N)))
(fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2)))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 N -1/2)) 2) (/.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 1/3 N) (fma.f64 N 1/3 1/2)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 N 3) 1/27) -1/8))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 N -1/2)) 2) (cbrt.f64 (+.f64 1/4 (.f64 1/3 (.f64 N (fma.f64 N 1/3 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 N 3) 1/27) -1/8)))
(/.f64 (.f64 (-.f64 1/16 (.f64 (.f64 (.f64 N N) 1/9) (.f64 (.f64 N N) 1/9))) (/.f64 1 (+.f64 -1/2 (.f64 -1/3 N)))) (+.f64 (.f64 (*.f64 N N) 1/9) 1/4))
(/.f64 (-.f64 1/16 (.f64 (pow.f64 N 4) 1/81)) (.f64 (+.f64 -1/2 (.f64 N -1/3)) (fma.f64 (.f64 N N) 1/9 1/4)))
(/.f64 (+.f64 1/16 (.f64 (pow.f64 N 4) -1/81)) (.f64 (+.f64 -1/2 (.f64 N -1/3)) (fma.f64 (.f64 N N) 1/9 1/4)))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 (.f64 (.f64 N N) 1/9) 3)) (/.f64 1 (+.f64 -1/2 (.f64 -1/3 N)))) (+.f64 1/16 (+.f64 (.f64 (.f64 (.f64 N N) 1/9) (.f64 (.f64 N N) 1/9)) (.f64 1/4 (.f64 (.f64 N N) 1/9)))))
(/.f64 (-.f64 1/64 (.f64 (pow.f64 (.f64 N N) 3) 1/729)) (.f64 (+.f64 -1/2 (.f64 N -1/3)) (+.f64 1/16 (.f64 (.f64 N (.f64 N 1/9)) (fma.f64 (.f64 N N) 1/9 1/4)))))
(/.f64 (/.f64 (+.f64 1/64 (.f64 (pow.f64 N 6) -1/729)) (+.f64 -1/2 (.f64 N -1/3))) (+.f64 1/16 (+.f64 (.f64 (pow.f64 N 4) 1/81) (.f64 (*.f64 N N) 1/36))))
(/.f64 (.f64 (-.f64 1/64 (.f64 (.f64 1/27 (pow.f64 N 3)) (.f64 1/27 (pow.f64 N 3)))) (/.f64 1 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (-.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))
(/.f64 (-.f64 1/64 (.f64 1/729 (pow.f64 (.f64 N N) 3))) (.f64 (+.f64 1/4 (.f64 (.f64 1/3 N) (fma.f64 N 1/3 1/2))) (-.f64 -1/8 (.f64 (pow.f64 N 3) 1/27))))
(/.f64 (/.f64 (+.f64 1/64 (.f64 (pow.f64 N 6) -1/729)) (+.f64 1/4 (.f64 1/3 (.f64 N (fma.f64 N 1/3 1/2))))) (+.f64 -1/8 (.f64 (pow.f64 N 3) -1/27)))
(/.f64 (.f64 (+.f64 -1/512 (pow.f64 (.f64 1/27 (pow.f64 N 3)) 3)) (/.f64 1 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (+.f64 1/64 (-.f64 (.f64 (.f64 1/27 (pow.f64 N 3)) (.f64 1/27 (pow.f64 N 3))) (.f64 -1/8 (.f64 1/27 (pow.f64 N 3))))))
(/.f64 (+.f64 -1/512 (.f64 1/19683 (pow.f64 (pow.f64 N 3) 3))) (.f64 (+.f64 1/4 (.f64 (.f64 1/3 N) (fma.f64 N 1/3 1/2))) (+.f64 1/64 (-.f64 (.f64 1/729 (pow.f64 (.f64 N N) 3)) (*.f64 -1/216 (pow.f64 N 3))))))
(/.f64 (+.f64 -1/512 (.f64 (pow.f64 (pow.f64 N 3) 3) 1/19683)) (.f64 (+.f64 1/4 (.f64 1/3 (.f64 N (fma.f64 N 1/3 1/2)))) (+.f64 (.f64 (pow.f64 N 6) 1/729) (+.f64 (.f64 1/216 (pow.f64 N 3)) 1/64))))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) 1) (+.f64 -1/2 (*.f64 -1/3 N)))
(-.f64 (/.f64 1/4 (+.f64 -1/2 (.f64 N -1/3))) (.f64 (/.f64 (.f64 N N) (+.f64 -1/2 (.f64 N -1/3))) 1/9))
(/.f64 (+.f64 1/4 (.f64 (.f64 N N) -1/9)) (+.f64 -1/2 (*.f64 N -1/3)))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N)))) (sqrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (-.f64 1/4 (.f64 N (.f64 N 1/9))) (.f64 (sqrt.f64 (+.f64 -1/2 (.f64 N -1/3))) (sqrt.f64 (+.f64 -1/2 (*.f64 N -1/3)))))
(/.f64 (+.f64 1/4 (.f64 (.f64 N N) -1/9)) (.f64 (sqrt.f64 (+.f64 -1/2 (.f64 N -1/3))) (sqrt.f64 (+.f64 -1/2 (*.f64 N -1/3)))))
(/.f64 (/.f64 (-.f64 1/4 (.f64 (.f64 N N) 1/9)) (.f64 (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))) (cbrt.f64 (+.f64 -1/2 (.f64 -1/3 N))))
(/.f64 (/.f64 (/.f64 (-.f64 1/4 (.f64 N (.f64 N 1/9))) (cbrt.f64 (+.f64 -1/2 (.f64 N -1/3)))) (cbrt.f64 (+.f64 -1/2 (.f64 N -1/3)))) (cbrt.f64 (+.f64 -1/2 (*.f64 N -1/3))))
(/.f64 (+.f64 1/4 (.f64 (.f64 N N) -1/9)) (.f64 (cbrt.f64 (+.f64 -1/2 (.f64 N -1/3))) (.f64 (cbrt.f64 (+.f64 -1/2 (.f64 N -1/3))) (cbrt.f64 (+.f64 -1/2 (*.f64 N -1/3))))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) 1) (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 N 3) 1/27) -1/8) (+.f64 1/4 (.f64 (*.f64 1/3 N) (fma.f64 N 1/3 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 N 3) 1/27) -1/8) (+.f64 1/4 (.f64 1/3 (*.f64 N (fma.f64 N 1/3 1/2)))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 N 3) 1/27) -1/8) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 1/3 N) (fma.f64 N 1/3 1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (*.f64 1/3 N) (fma.f64 N 1/3 1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 N 3) 1/27) -1/8) (.f64 (sqrt.f64 (+.f64 1/4 (.f64 1/3 (.f64 N (fma.f64 N 1/3 1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 1/3 (.f64 N (fma.f64 N 1/3 1/2)))))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 1/27 (pow.f64 N 3))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (.f64 N 1/3) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 N 1/3) (-.f64 (*.f64 N 1/3) -1/2)))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 N 3) 1/27) -1/8) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 1/3 N) (fma.f64 N 1/3 1/2))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 1/3 N) (fma.f64 N 1/3 1/2))))) (cbrt.f64 (+.f64 1/4 (.f64 (*.f64 1/3 N) (fma.f64 N 1/3 1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 N 3) 1/27) -1/8) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 1/3 (.f64 N (fma.f64 N 1/3 1/2))))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 1/3 (.f64 N (fma.f64 N 1/3 1/2))))) (cbrt.f64 (+.f64 1/4 (.f64 1/3 (*.f64 N (fma.f64 N 1/3 1/2))))))))
(pow.f64 (fma.f64 N 1/3 -1/2) 1)
(fma.f64 1/3 N -1/2)
(pow.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) 2)
(fma.f64 1/3 N -1/2)
(pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 3)
(fma.f64 1/3 N -1/2)
(pow.f64 (pow.f64 (fma.f64 N 1/3 -1/2) 3) 1/3)
(fma.f64 1/3 N -1/2)
(sqrt.f64 (pow.f64 (fma.f64 N 1/3 -1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 N -1/2) 2))
(log.f64 (exp.f64 (fma.f64 N 1/3 -1/2)))
(fma.f64 1/3 N -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N 1/3 -1/2))))
(fma.f64 1/3 N -1/2)
(cbrt.f64 (pow.f64 (fma.f64 N 1/3 -1/2) 3))
(fma.f64 1/3 N -1/2)
(expm1.f64 (log1p.f64 (fma.f64 N 1/3 -1/2)))
(fma.f64 1/3 N -1/2)
(exp.f64 (log.f64 (fma.f64 N 1/3 -1/2)))
(fma.f64 1/3 N -1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 N 1/3 -1/2)) 1))
(fma.f64 1/3 N -1/2)
(log1p.f64 (expm1.f64 (fma.f64 N 1/3 -1/2)))
(fma.f64 1/3 N -1/2)
(fma.f64 N 1/3 -1/2)
(fma.f64 1/3 N -1/2)
(fma.f64 1/3 N -1/2)
(fma.f64 1 (*.f64 N 1/3) -1/2)
(fma.f64 1/3 N -1/2)
(fma.f64 (sqrt.f64 (.f64 N 1/3)) (sqrt.f64 (.f64 N 1/3)) -1/2)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 N)) 2) -1/2)
(+.f64 -1/2 (pow.f64 (sqrt.f64 (*.f64 1/3 N)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 N 1/3)) 2) (cbrt.f64 (.f64 N 1/3)) -1/2)
(fma.f64 1/3 N -1/2)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 N)
✓	0.3b	(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	0.4b	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
	2.8b	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series12.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
4.0ms	N	@	0	(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)))

rewrite67.0ms (1.1%)

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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/.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)))))))))

simplify77.0ms (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)))

eval399.0ms (6.5%)

Compiler: Compiled 20673 to 12298 computations (40.5% saved)

prune160.0ms (2.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	769	4	773
Fresh	1	2	3
Picked	1	0	1
Done	2	3	5
Total	773	9	782

Error

0.0b

Counts

782 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	30.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 3)
▶	32.3b	(pow.f64 (cbrt.f64 (/.f64 1 N)) 3)
✓	31.6b	(/.f64 1 N)
▶	32.9b	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	30.5b	(-.f64 N (log.f64 N))
✓	30.9b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
▶	61.6b	(+.f64 N (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
✓	31.5b	(neg.f64 (log.f64 N))
▶	0.0b	(log1p.f64 (+.f64 (/.f64 1 N) 0))

Compiler

Compiled 129 to 96 computations (25.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.9%)

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))))))))

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 47

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

Outputs

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

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

simplify136.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

221 → 315

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 21 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite111.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`*-commutative`
1086×	`associate-*r/`
888×	`distribute-lft-in`
858×	`distribute-rgt-in`
738×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	230	23
2	3225	23

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

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

Outputs

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

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1662×	`associate-*r/`
1646×	`associate-/r*`
1306×	`associate-*l/`
566×	`associate-/r/`
456×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	6648
1	667	5980
2	3066	5976

Stop Event

1×	node limit

Counts

92 → 136

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (/.f64 1 N))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 1 N)) 3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`add-sqr-sqrt`
1332×	`*-un-lft-identity`
1264×	`add-cube-cbrt`
1252×	`add-cbrt-cube`
1238×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	184	18
2	1846	18

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 1 N)) 3)
(cbrt.f64 (/.f64 1 N))

Outputs

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

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

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-r`
1106×	`associate-l`
1054×	`associate-/r/`
582×	`distribute-rgt-in`
582×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1323
1	256	1051
2	780	841
3	4456	835

Stop Event

1×	node limit

Counts

57 → 73

Calls

Call 1

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

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

eval385.0ms (6.3%)

Compiler: Compiled 22901 to 15073 computations (34.2% saved)

prune189.0ms (3.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	987	7	994
Fresh	1	0	1
Picked	1	0	1
Done	4	3	7
Total	993	10	1003

Error

Counts

1003 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.1b	(/.f64 (/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N)) (+.f64 1/2 N))
▶	45.3b	(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
▶	32.9b	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶	32.9b	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
✓	31.6b	(/.f64 1 N)
✓	30.9b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
✓	31.5b	(neg.f64 (log.f64 N))
▶	0.0b	(log1p.f64 (/.f64 1 N))
	3.3b	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
	60.9b	N

Compiler

Compiled 135 to 97 computations (28.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.8%)

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 (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 47

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

89 → 90

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.5b	(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 58

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`associate-*l/`
1370×	`associate-/r*`
880×	`*-commutative`
792×	`associate-/l*`
540×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	202	38
2	2670	38

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

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

Outputs

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

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1314×	`distribute-lft-in`
1272×	`distribute-rgt-in`
978×	`associate-/r/`
972×	`associate-/l/`
444×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	403	5860
1	1119	5356
2	4017	5356

Stop Event

1×	node limit

Counts

182 → 223

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 N (/.f64 -1/4 N))
✓	0.0b	(/.f64 (/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N)) (+.f64 1/2 N))
✓	0.1b	(*.f64 N (+.f64 N (/.f64 -1/4 N)))
✓	12.9b	(/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N))

Compiler

Compiled 51 to 28 computations (45.1% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	N	@	0	(/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N))
0.0ms	N	@	-inf	(/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N))
0.0ms	N	@	-inf	(/.f64 (/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N)) (+.f64 1/2 N))
0.0ms	N	@	inf	(/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N))
0.0ms	N	@	0	(/.f64 (/.f64 (.f64 N (+.f64 N (/.f64 -1/4 N))) (.f64 N N)) (+.f64 1/2 N))

rewrite106.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`associate-/r/`
972×	`distribute-lft-in`
302×	`add-sqr-sqrt`
290×	`pow1`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	291	82
2	4665	72

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 N -2) (.f64 N N)) (.f64 (pow.f64 N -2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 N -2) -1/4) (.f64 (pow.f64 N -2) (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 N (.f64 N N)) N) (.f64 (/.f64 N (.f64 N N)) (/.f64 -1/4 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 N (.f64 N N)) (/.f64 -1/4 N)) (.f64 (/.f64 N (.f64 N N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 N (.f64 (+.f64 N (/.f64 -1/4 N)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 N (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 N (/.f64 -1/4 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 N (/.f64 -1/4 N)) (/.f64 N (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 N N -1/4) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 N (/.f64 -1/4 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N) (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 N N -1/4)) (.f64 (sqrt.f64 (fma.f64 N N -1/4)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (.f64 (cbrt.f64 (fma.f64 N N -1/4)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 N N -1/4)) (/.f64 1 (.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 N) (+.f64 N (/.f64 -1/4 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N -2) (fma.f64 N N -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (fma.f64 N N -1/4) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N 1) (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N (/.f64 -1/4 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N (/.f64 -1/4 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (/.f64 -1/4 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 N N -1/4) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 N (fma.f64 N N -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 N (/.f64 -1/4 N)) (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 N N (+.f64 (/.f64 1/16 (.f64 N N)) 1/4)) (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 N N -1/4)) (/.f64 N (sqrt.f64 (fma.f64 N N -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (/.f64 N (cbrt.f64 (fma.f64 N N -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N))) (-.f64 N (/.f64 -1/4 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 N N -1/4)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (fma.f64 N N (+.f64 (/.f64 1/16 (.f64 N N)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 N N -1/4) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 N N -1/4) (sqrt.f64 N)) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 N N -1/4) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/16 (.f64 N N)) (.f64 N N)) (-.f64 (/.f64 -1/4 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N)))) (neg.f64 (-.f64 N (/.f64 -1/4 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))) (neg.f64 (fma.f64 N N (+.f64 (/.f64 1/16 (.f64 N N)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 N (/.f64 -1/4 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 N (/.f64 -1/4 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 N (/.f64 -1/4 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 N N -1/4) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 N (/.f64 -1/4 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 N (/.f64 -1/4 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 N N -1/4)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 N (/.f64 -1/4 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 N (/.f64 -1/4 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (/.f64 -1/4 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/4 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 -1/4 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 N)) 2) (cbrt.f64 (/.f64 -1/4 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (/.f64 -1/4 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (/.f64 1 N) N)))))

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1636×	`associate-/l*`
1554×	`associate-r`
1290×	`associate-l`
1004×	`associate-*r/`
874×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	10644
1	1838	10294

Stop Event

1×	node limit

Counts

320 → 405

Calls

Call 1

Inputs
(/.f64 -1/4 (pow.f64 N 2))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
-1/4
(-.f64 (pow.f64 N 2) 1/4)
(-.f64 (pow.f64 N 2) 1/4)
(-.f64 (pow.f64 N 2) 1/4)
(pow.f64 N 2)
(-.f64 (pow.f64 N 2) 1/4)
(-.f64 (pow.f64 N 2) 1/4)
(-.f64 (pow.f64 N 2) 1/4)
(pow.f64 N 2)
(-.f64 (pow.f64 N 2) 1/4)
(-.f64 (pow.f64 N 2) 1/4)
(-.f64 (pow.f64 N 2) 1/4)
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/4 N)
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
N
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
N
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(+.f64 (.f64 (pow.f64 N -2) (.f64 N N)) (*.f64 (pow.f64 N -2) -1/4))
(+.f64 (.f64 (pow.f64 N -2) -1/4) (.f64 (pow.f64 N -2) (*.f64 N N)))
(+.f64 (.f64 (/.f64 N (.f64 N N)) N) (.f64 (/.f64 N (.f64 N N)) (/.f64 -1/4 N)))
(+.f64 (.f64 (/.f64 N (.f64 N N)) (/.f64 -1/4 N)) (.f64 (/.f64 N (.f64 N N)) N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N))) 1)
(.f64 N (.f64 (+.f64 N (/.f64 -1/4 N)) (pow.f64 N -2)))
(.f64 N (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))))
(*.f64 (+.f64 N (/.f64 -1/4 N)) (/.f64 1 N))
(.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N (pow.f64 N -2)))
(.f64 (+.f64 N (/.f64 -1/4 N)) (/.f64 N (.f64 N N)))
(*.f64 (fma.f64 N N -1/4) (pow.f64 N -2))
(*.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N) 1)
(*.f64 1 (/.f64 (+.f64 N (/.f64 -1/4 N)) N))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N) (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N))
(.f64 (sqrt.f64 (fma.f64 N N -1/4)) (.f64 (sqrt.f64 (fma.f64 N N -1/4)) (pow.f64 N -2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (.f64 (cbrt.f64 (fma.f64 N N -1/4)) (pow.f64 N -2)))
(.f64 (neg.f64 (fma.f64 N N -1/4)) (/.f64 1 (.f64 N (neg.f64 N))))
(*.f64 (/.f64 1 N) (+.f64 N (/.f64 -1/4 N)))
(*.f64 (pow.f64 N -2) (fma.f64 N N -1/4))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (fma.f64 N N -1/4) (pow.f64 (cbrt.f64 N) 2)))
(.f64 (/.f64 N 1) (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N (/.f64 -1/4 N)) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N (/.f64 -1/4 N)) (cbrt.f64 N)))
(.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)) N)
(.f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))
(.f64 (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))) N)
(.f64 (/.f64 1 (.f64 N (neg.f64 N))) (neg.f64 (fma.f64 N N -1/4)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) 1) (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (.f64 N N)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 N N -1/4)) (.f64 N N)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (.f64 N N)) (sqrt.f64 (fma.f64 N N -1/4)))
(*.f64 (/.f64 N (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N (/.f64 -1/4 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) (cbrt.f64 (pow.f64 N 4))) (/.f64 N (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) N) (/.f64 (cbrt.f64 (fma.f64 N N -1/4)) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) 1) (/.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) N) (sqrt.f64 (+.f64 N (/.f64 -1/4 N))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(.f64 (/.f64 N (.f64 N (neg.f64 N))) (neg.f64 (+.f64 N (/.f64 -1/4 N))))
(.f64 (/.f64 N (/.f64 (.f64 N N) 1)) (+.f64 N (/.f64 -1/4 N)))
(.f64 (/.f64 N (/.f64 (.f64 N N) (sqrt.f64 (+.f64 N (/.f64 -1/4 N))))) (sqrt.f64 (+.f64 N (/.f64 -1/4 N))))
(.f64 (/.f64 N (/.f64 (.f64 N N) (pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 2))) (cbrt.f64 (+.f64 N (/.f64 -1/4 N))))
(.f64 (/.f64 1 (/.f64 (.f64 N N) N)) (+.f64 N (/.f64 -1/4 N)))
(.f64 (/.f64 1 (/.f64 (.f64 N N) (sqrt.f64 (fma.f64 N N -1/4)))) (sqrt.f64 (fma.f64 N N -1/4)))
(.f64 (/.f64 1 (/.f64 (.f64 N N) (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)))) (cbrt.f64 (fma.f64 N N -1/4)))
(.f64 (/.f64 (sqrt.f64 N) (/.f64 (.f64 N N) (+.f64 N (/.f64 -1/4 N)))) (sqrt.f64 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 2) N) (cbrt.f64 (+.f64 N (/.f64 -1/4 N))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 (.f64 N N) (+.f64 N (/.f64 -1/4 N)))) (cbrt.f64 N))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (.f64 N N)) (cbrt.f64 (fma.f64 N N -1/4)))
(pow.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N) 1)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N) 3) 1/3)
(pow.f64 (/.f64 N (+.f64 N (/.f64 -1/4 N))) -1)
(neg.f64 (/.f64 (fma.f64 N N -1/4) (*.f64 N (neg.f64 N))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N N -1/4) 3) (pow.f64 (*.f64 N N) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(+.f64 (*.f64 N N) -1/4)
(+.f64 -1/4 (*.f64 N N))
(-.f64 (*.f64 N N) 1/4)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N N))) 5/4)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N -1/4))) 1)
(-.f64 (+.f64 -1/4 (exp.f64 (log1p.f64 (*.f64 N N)))) 1)
(/.f64 (.f64 N (-.f64 (.f64 N N) (/.f64 1/16 (*.f64 N N)))) (-.f64 N (/.f64 -1/4 N)))
(/.f64 (+.f64 (pow.f64 N 4) (.f64 N (/.f64 -1/64 (pow.f64 N 3)))) (fma.f64 N N (+.f64 (/.f64 1/16 (.f64 N N)) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 N N) (/.f64 1/16 (*.f64 N N))) N) (-.f64 N (/.f64 -1/4 N)))
(/.f64 (.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) N) (fma.f64 N N (+.f64 (/.f64 1/16 (.f64 N N)) 1/4)))
(/.f64 (-.f64 (pow.f64 N 4) 1/16) (-.f64 (*.f64 N N) -1/4))
(/.f64 (+.f64 (pow.f64 (.f64 N N) 3) -1/64) (-.f64 (+.f64 (pow.f64 N 4) 1/16) (.f64 (*.f64 N N) -1/4)))
(pow.f64 (fma.f64 N N -1/4) 1)
(pow.f64 (sqrt.f64 (fma.f64 N N -1/4)) 2)
(pow.f64 (cbrt.f64 (fma.f64 N N -1/4)) 3)
(pow.f64 (pow.f64 (fma.f64 N N -1/4) 3) 1/3)
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (sqrt.f64 N)) (/.f64 (cbrt.f64 (fma.f64 N N -1/4)) (sqrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (cbrt.f64 (fma.f64 N N -1/4)) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) N) (cbrt.f64 (fma.f64 N N -1/4)))
(.f64 (/.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N))) (-.f64 (.f64 N N) (/.f64 1/16 (*.f64 N N)))) (+.f64 N (/.f64 -1/4 N)))
(.f64 (/.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N))) (-.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))) (+.f64 (.f64 N N) (+.f64 (/.f64 1/16 (*.f64 N N)) -1/4)))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (-.f64 (pow.f64 N 4) (.f64 (+.f64 (/.f64 1/16 (.f64 N N)) 1/4) (+.f64 (/.f64 1/16 (.f64 N N)) 1/4)))) (+.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N))) -1/4))
(.f64 (/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 (/.f64 1/16 (.f64 N N)) 1/4) 3))) (+.f64 (pow.f64 N 4) (-.f64 (.f64 (+.f64 (/.f64 1/16 (.f64 N N)) 1/4) (+.f64 (/.f64 1/16 (.f64 N N)) 1/4)) (.f64 (.f64 N N) (+.f64 (/.f64 1/16 (*.f64 N N)) 1/4)))))
(/.f64 N (/.f64 N (+.f64 N (/.f64 -1/4 N))))
(/.f64 (+.f64 N (/.f64 -1/4 N)) 1)
(/.f64 (fma.f64 N N -1/4) N)
(/.f64 1 (/.f64 N (fma.f64 N N -1/4)))
(/.f64 1 (/.f64 (-.f64 N (/.f64 -1/4 N)) (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N)))))
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 (/.f64 1/16 (*.f64 N N)) 1/4)) (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))))
(/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (/.f64 N (sqrt.f64 (fma.f64 N N -1/4))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (/.f64 N (cbrt.f64 (fma.f64 N N -1/4))))
(/.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N))) (-.f64 N (/.f64 -1/4 N)))
(/.f64 (neg.f64 (fma.f64 N N -1/4)) (neg.f64 N))
(/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (fma.f64 N N (+.f64 (/.f64 1/16 (*.f64 N N)) 1/4)))
(/.f64 (/.f64 (fma.f64 N N -1/4) 1) N)
(/.f64 (/.f64 (fma.f64 N N -1/4) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 (fma.f64 N N -1/4) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (-.f64 (/.f64 1/16 (.f64 N N)) (.f64 N N)) (-.f64 (/.f64 -1/4 N) N))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N)))) (neg.f64 (-.f64 N (/.f64 -1/4 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))) (neg.f64 (fma.f64 N N (+.f64 (/.f64 1/16 (*.f64 N N)) 1/4))))
(pow.f64 (+.f64 N (/.f64 -1/4 N)) 1)
(pow.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) 2)
(pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 3)
(pow.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 2))
(log.f64 (exp.f64 (+.f64 N (/.f64 -1/4 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (/.f64 -1/4 N)))))
(cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N N -1/4) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (+.f64 N (/.f64 -1/4 N))))
(exp.f64 (log.f64 (+.f64 N (/.f64 -1/4 N))))
(exp.f64 (-.f64 (log.f64 (fma.f64 N N -1/4)) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (+.f64 N (/.f64 -1/4 N))) 1))
(log1p.f64 (expm1.f64 (+.f64 N (/.f64 -1/4 N))))
(fma.f64 1 N (/.f64 -1/4 N))
(fma.f64 1 (/.f64 -1/4 N) N)
(fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 -1/4 N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 N)) 2) (cbrt.f64 (/.f64 -1/4 N)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (/.f64 -1/4 N))
(fma.f64 -1/4 (/.f64 1 N) N)

Outputs
(/.f64 -1/4 (pow.f64 N 2))
(/.f64 -1/4 (*.f64 N N))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (/.f64 1/4 (*.f64 N N)))
(-.f64 1 (/.f64 (/.f64 1/4 N) N))
-1/4
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(pow.f64 N 2)
(*.f64 N N)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(pow.f64 N 2)
(*.f64 N N)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(-.f64 (pow.f64 N 2) 1/4)
(fma.f64 N N -1/4)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 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 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 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 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 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 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 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 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 -1/4 N)
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
N
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
N
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(-.f64 N (*.f64 1/4 (/.f64 1 N)))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(+.f64 (.f64 (pow.f64 N -2) (.f64 N N)) (*.f64 (pow.f64 N -2) -1/4))
(*.f64 (pow.f64 N -2) (fma.f64 N N -1/4))
(+.f64 (.f64 (pow.f64 N -2) -1/4) (.f64 (pow.f64 N -2) (*.f64 N N)))
(*.f64 (pow.f64 N -2) (fma.f64 N N -1/4))
(+.f64 (.f64 (/.f64 N (.f64 N N)) N) (.f64 (/.f64 N (.f64 N N)) (/.f64 -1/4 N)))
(.f64 N (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(.f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))
(+.f64 (.f64 (/.f64 N (.f64 N N)) (/.f64 -1/4 N)) (.f64 (/.f64 N (.f64 N N)) N))
(.f64 N (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(.f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N))) 1)
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
(.f64 N (.f64 (+.f64 N (/.f64 -1/4 N)) (pow.f64 N -2)))
(.f64 N (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))))
(.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N (pow.f64 N -2)))
(.f64 N (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))))
(.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N (pow.f64 N -2)))
(*.f64 (+.f64 N (/.f64 -1/4 N)) (/.f64 1 N))
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
(.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N (pow.f64 N -2)))
(.f64 N (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))))
(.f64 (+.f64 N (/.f64 -1/4 N)) (/.f64 N (.f64 N N)))
(.f64 N (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(.f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))
(*.f64 (fma.f64 N N -1/4) (pow.f64 N -2))
(*.f64 (pow.f64 N -2) (fma.f64 N N -1/4))
(*.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N) 1)
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
(*.f64 1 (/.f64 (+.f64 N (/.f64 -1/4 N)) N))
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N) (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N) 2)
(.f64 (sqrt.f64 (fma.f64 N N -1/4)) (.f64 (sqrt.f64 (fma.f64 N N -1/4)) (pow.f64 N -2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 N N -1/4)) 2) (pow.f64 N -2))
(*.f64 (pow.f64 N -2) (pow.f64 (sqrt.f64 (fma.f64 N N -1/4)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 2))
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
(.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (.f64 (cbrt.f64 (fma.f64 N N -1/4)) (pow.f64 N -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (.f64 (pow.f64 N -2) (cbrt.f64 (fma.f64 N N -1/4))))
(.f64 (pow.f64 N -2) (.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (cbrt.f64 (fma.f64 N N -1/4))))
(.f64 (neg.f64 (fma.f64 N N -1/4)) (/.f64 1 (.f64 N (neg.f64 N))))
(/.f64 (-.f64 1/4 (.f64 N N)) (.f64 N (neg.f64 N)))
(*.f64 (/.f64 1 N) (+.f64 N (/.f64 -1/4 N)))
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
(*.f64 (pow.f64 N -2) (fma.f64 N N -1/4))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (fma.f64 N N -1/4) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (fma.f64 N N -1/4) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(.f64 (/.f64 N 1) (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(.f64 N (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(.f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N (/.f64 -1/4 N)) (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N (/.f64 -1/4 N)) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)) N)
(.f64 N (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(.f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))
(.f64 (/.f64 N (.f64 N N)) (+.f64 N (/.f64 -1/4 N)))
(.f64 N (/.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N N)))
(.f64 (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))) N)
(.f64 N (.f64 (pow.f64 N -2) (+.f64 N (/.f64 -1/4 N))))
(.f64 (+.f64 N (/.f64 -1/4 N)) (.f64 N (pow.f64 N -2)))
(.f64 (/.f64 1 (.f64 N (neg.f64 N))) (neg.f64 (fma.f64 N N -1/4)))
(.f64 (neg.f64 (fma.f64 N N -1/4)) (/.f64 1 (.f64 N (neg.f64 N))))
(/.f64 (-.f64 1/4 (.f64 N N)) (.f64 N (neg.f64 N)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) 1) (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (.f64 N N)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N) 2)
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 N N -1/4)) (.f64 N N)))
(.f64 (cbrt.f64 (fma.f64 N N -1/4)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (.f64 N N)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (.f64 N N)) (sqrt.f64 (fma.f64 N N -1/4)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) N) 2)
(*.f64 (/.f64 N (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N (/.f64 -1/4 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) (cbrt.f64 (pow.f64 N 4))) (/.f64 N (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 N (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N (/.f64 -1/4 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 N N -1/4)) 2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) N) (/.f64 (cbrt.f64 (fma.f64 N N -1/4)) N))
(.f64 (cbrt.f64 (fma.f64 N N -1/4)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (.f64 N N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N (/.f64 -1/4 N)) N)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (cbrt.f64 (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) 1) (/.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) N))
(/.f64 (+.f64 N (/.f64 -1/4 N)) N)
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(.f64 (/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1/4 (/.f64 1/16 (.f64 N N))) 3))) (+.f64 (pow.f64 N 4) (.f64 (+.f64 1/4 (/.f64 1/16 (.f64 N N))) (+.f64 (/.f64 1/16 (.f64 N N)) (-.f64 1/4 (*.f64 N N))))))
(/.f64 N (/.f64 N (+.f64 N (/.f64 -1/4 N))))
(*.f64 N (/.f64 (+.f64 N (/.f64 -1/4 N)) N))
(*.f64 (+.f64 N (/.f64 -1/4 N)) (/.f64 N N))
(/.f64 (+.f64 N (/.f64 -1/4 N)) 1)
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(/.f64 (fma.f64 N N -1/4) N)
(*.f64 (/.f64 1 N) (fma.f64 N N -1/4))
(/.f64 1 (/.f64 N (fma.f64 N N -1/4)))
(*.f64 (/.f64 1 N) (fma.f64 N N -1/4))
(/.f64 (fma.f64 N N -1/4) N)
(/.f64 1 (/.f64 (-.f64 N (/.f64 -1/4 N)) (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N)))))
(.f64 (-.f64 (.f64 N N) (/.f64 1/16 (*.f64 N N))) (/.f64 1 (-.f64 N (/.f64 -1/4 N))))
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 (/.f64 1/16 (*.f64 N N)) 1/4)) (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))))
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 1/4 (/.f64 1/16 (*.f64 N N)))) (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))))
(.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (/.f64 1 (+.f64 (fma.f64 N N 1/4) (/.f64 1/16 (.f64 N N)))))
(/.f64 (sqrt.f64 (fma.f64 N N -1/4)) (/.f64 N (sqrt.f64 (fma.f64 N N -1/4))))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 N N -1/4)) 2) N)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (/.f64 N (cbrt.f64 (fma.f64 N N -1/4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N -1/4) 2)) (/.f64 (cbrt.f64 (fma.f64 N N -1/4)) N))
(/.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N))) (-.f64 N (/.f64 -1/4 N)))
(/.f64 (neg.f64 (fma.f64 N N -1/4)) (neg.f64 N))
(neg.f64 (/.f64 (fma.f64 N N -1/4) (neg.f64 N)))
(/.f64 (-.f64 1/4 (*.f64 N N)) (neg.f64 N))
(/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (fma.f64 N N (+.f64 (/.f64 1/16 (*.f64 N N)) 1/4)))
(/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (fma.f64 N N (+.f64 1/4 (/.f64 1/16 (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3))) (+.f64 (fma.f64 N N 1/4) (/.f64 1/16 (*.f64 N N))))
(/.f64 (/.f64 (fma.f64 N N -1/4) 1) N)
(*.f64 (/.f64 1 N) (fma.f64 N N -1/4))
(/.f64 (fma.f64 N N -1/4) N)
(/.f64 (/.f64 (fma.f64 N N -1/4) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (fma.f64 N N -1/4) (sqrt.f64 N)))
(/.f64 (fma.f64 N N -1/4) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(/.f64 (/.f64 (fma.f64 N N -1/4) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (fma.f64 N N -1/4) (cbrt.f64 N)))
(/.f64 (fma.f64 N N -1/4) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (-.f64 (/.f64 1/16 (.f64 N N)) (.f64 N N)) (-.f64 (/.f64 -1/4 N) N))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N)))) (neg.f64 (-.f64 N (/.f64 -1/4 N))))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (/.f64 1/16 (.f64 N N)))) (-.f64 (/.f64 -1/4 N) N))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))) (neg.f64 (fma.f64 N N (+.f64 (/.f64 1/16 (*.f64 N N)) 1/4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))) (neg.f64 (fma.f64 N N (+.f64 1/4 (/.f64 1/16 (*.f64 N N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (/.f64 -1/64 (pow.f64 N 3)))) (neg.f64 (+.f64 (fma.f64 N N 1/4) (/.f64 1/16 (*.f64 N N)))))
(pow.f64 (+.f64 N (/.f64 -1/4 N)) 1)
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(pow.f64 (sqrt.f64 (+.f64 N (/.f64 -1/4 N))) 2)
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(pow.f64 (cbrt.f64 (+.f64 N (/.f64 -1/4 N))) 3)
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(pow.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 3) 1/3)
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(sqrt.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 2))
(log.f64 (exp.f64 (+.f64 N (/.f64 -1/4 N))))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (/.f64 -1/4 N)))))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(cbrt.f64 (pow.f64 (+.f64 N (/.f64 -1/4 N)) 3))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N N -1/4) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (+.f64 N (/.f64 -1/4 N))))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(exp.f64 (log.f64 (+.f64 N (/.f64 -1/4 N))))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(exp.f64 (-.f64 (log.f64 (fma.f64 N N -1/4)) (log.f64 N)))
(/.f64 (fma.f64 N N -1/4) (exp.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (+.f64 N (/.f64 -1/4 N))) 1))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(log1p.f64 (expm1.f64 (+.f64 N (/.f64 -1/4 N))))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(fma.f64 1 N (/.f64 -1/4 N))
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(fma.f64 1 (/.f64 -1/4 N) N)
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))
(fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 -1/4 N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 N)) 2) (cbrt.f64 (/.f64 -1/4 N)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (/.f64 -1/4 N))
(fma.f64 -1/4 (/.f64 1 N) N)
(-.f64 N (/.f64 1/4 N))
(+.f64 N (/.f64 -1/4 N))

eval277.0ms (4.5%)

Compiler: Compiled 15303 to 10396 computations (32.1% saved)

prune197.0ms (3.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	866	1	867
Fresh	0	2	2
Picked	1	0	1
Done	3	4	7
Total	870	7	877

Error

Counts

877 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	28.3b	(/.f64 1 (+.f64 N 1/2))
✓	31.6b	(/.f64 1 N)
✓	30.9b	(+.f64 (-.f64 N (log.f64 N)) (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
✓	31.5b	(neg.f64 (log.f64 N))
✓	0.0b	(log1p.f64 (/.f64 1 N))
	3.3b	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
	60.9b	N

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes34.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 174 to 107 computations (38.5% saved)

regimes15.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.3b	2	`N`

Compiler

Compiled 74 to 48 computations (35.1% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.008147042688062413	0.7924180568712171

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 96 to 79 computations (17.7% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
28.3b	1	`N`

Compiler

Compiled 71 to 46 computations (35.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -29.4b remaining (-93%)

Threshold costs -29.4b (-93%)

Counts

2 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
31.6b	1	`N`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	24	63
2	26	63
3	27	63

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(/.f64 1 N)
N

Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(/.f64 1 N)
N

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness219.0ms (3.6%)

Algorithm

3×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 154 to 123 computations (20.1% saved)

end46.0ms (0.8%)

Compiler: Compiled 26 to 19 computations (26.9% saved)

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

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

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

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

Details

analyze2.0ms (0%)

sample1.7s (28.2%)

preprocess10.0ms (0.2%)

simplify17.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite225.0ms (3.7%)

simplify72.0ms (1.2%)

eval30.0ms (0.5%)

prune22.0ms (0.4%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite62.0ms (1%)

simplify66.0ms (1.1%)

localize2.0ms (0%)

localize5.0ms (0.1%)

localize17.0ms (0.3%)

series9.0ms (0.2%)

rewrite159.0ms (2.6%)

simplify151.0ms (2.5%)

localize11.0ms (0.2%)

series12.0ms (0.2%)

rewrite67.0ms (1.1%)

simplify77.0ms (1.2%)

eval399.0ms (6.5%)

prune160.0ms (2.6%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite55.0ms (0.9%)

simplify53.0ms (0.9%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite85.0ms (1.4%)

simplify136.0ms (2.2%)

localize12.0ms (0.2%)

series0.0ms (0%)

rewrite111.0ms (1.8%)

simplify79.0ms (1.3%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite53.0ms (0.9%)

simplify56.0ms (0.9%)

eval385.0ms (6.3%)

prune189.0ms (3.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (0.8%)

simplify53.0ms (0.9%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite64.0ms (1%)

simplify50.0ms (0.8%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite56.0ms (0.9%)

simplify56.0ms (0.9%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite73.0ms (1.2%)

simplify85.0ms (1.4%)

localize18.0ms (0.3%)

series6.0ms (0.1%)

rewrite106.0ms (1.7%)

simplify93.0ms (1.5%)

eval277.0ms (4.5%)

prune197.0ms (3.2%)

regimes34.0ms (0.6%)

regimes15.0ms (0.2%)

bsearch15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness219.0ms (3.6%)

end46.0ms (0.8%)

Profiling

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

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