Metrics for 2log (problem 3.3.6)

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.3s (34.4%)

Results

920.0ms	4902×	body	256	valid
807.0ms	2080×	body	1024	valid
309.0ms	995×	body	512	valid
165.0ms	279×	body	2048	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess410.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

7864×	`fma-def`
962×	`distribute-rgt-in`
906×	`fma-neg`
858×	`distribute-lft-in`
806×	`associate-+r+`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	25	53
2	43	53
3	77	53
4	135	53
5	231	53
6	426	51
7	763	51
8	1521	51
9	3012	51
10	3795	51
11	3829	51
12	3853	51
13	3853	51
14	5993	51
15	6433	51
16	6785	51
17	6785	51
18	7176	51
19	7720	51
20	7890	51
21	7946	51

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval1.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	48.5%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	48.5%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	48.5%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize317.0ms (4.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 N)
✓	48.5%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	59.0%	(log.f64 (+.f64 N 1))
✓	48.5%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 30 to 15 computations (50% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`
194×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	240	40
2	2510	40

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify154.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg`
572×	`unswap-sqr`
530×	`log-prod`
502×	`associate-+l+`
490×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010

Stop Event

1×	node limit

Counts

162 → 136

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

eval66.0ms (1%)

Compiler: Compiled 1822 to 991 computations (45.6% saved)

prune42.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	132	6	138

Accuracy

100.0%

Counts

138 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 1 N)
▶	55.4%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	46.5%	(-.f64 N (log.f64 N))
	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
▶	45.3%	(neg.f64 (log.f64 N))
▶	48.6%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	57.1%	(/.f64 1 N)
▶	55.4%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	46.5%	(-.f64 N (log.f64 N))
	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
▶	45.3%	(neg.f64 (log.f64 N))
▶	48.6%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 184 to 132 computations (28.3% saved)

localize169.0ms (2.6%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	48.6%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	100.0%	(-.f64 N (log.f64 N))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	99.5%	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series16.0ms (0.2%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	N	@	0	(-.f64 N (log.f64 N))
3.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))
1.0ms	N	@	0	(/.f64 1/2 (*.f64 N N))
0.0ms	N	@	0	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))

rewrite129.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`log-prod`
1440×	`fma-def`
656×	`fma-neg`
582×	`expm1-udef`
582×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	339	71
2	5045	71

Stop Event

1×	node limit

Counts

5 → 325

Calls

Call 1

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

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

simplify185.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-neg`
734×	`div-sub`
624×	`fma-def`
546×	`log-prod`
364×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	684	12017
1	1688	11173
2	5611	11067

Stop Event

1×	node limit

Counts

385 → 470

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

eval274.0ms (4.2%)

Compiler: Compiled 7335 to 4624 computations (37% saved)

prune128.0ms (2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	465	5	470
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	467	9	476

Accuracy

100.0%

Counts

476 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	57.1%	(/.f64 1 N)
✓	46.5%	(-.f64 N (log.f64 N))
▶	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
▶	32.2%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	45.3%	(neg.f64 (log.f64 N))
▶	48.7%	(log1p.f64 (+.f64 1 (+.f64 (/.f64 1 N) -1)))
✓	48.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.4%	N
▶	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	57.1%	(/.f64 1 N)
✓	46.5%	(-.f64 N (log.f64 N))
▶	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
▶	32.2%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	45.3%	(neg.f64 (log.f64 N))
▶	48.7%	(log1p.f64 (+.f64 1 (+.f64 (/.f64 1 N) -1)))
✓	48.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.4%	N

Compiler

Compiled 122 to 92 computations (24.6% saved)

localize197.0ms (3%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	98.9%	(/.f64 1/3 (pow.f64 N 3))
✓	81.3%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
✓	76.7%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	100.0%	(log1p.f64 (+.f64 1 (+.f64 (/.f64 1 N) -1)))
✓	48.7%	(+.f64 1 (+.f64 (/.f64 1 N) -1))

Compiler

Compiled 103 to 78 computations (24.3% saved)

series4.0ms (0.1%)

Counts

7 → 72

Calls

21 calls:

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

rewrite135.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`expm1-udef`
550×	`add-sqr-sqrt`
526×	`pow1`
520×	`log1p-expm1-u`
520×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	149
1	566	133
2	7686	133

Stop Event

1×	node limit

Counts

7 → 236

Calls

Call 1

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

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

simplify151.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1538×	`fma-neg`
646×	`fma-def`
606×	`associate-l`
590×	`associate-r`
554×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	9618
1	1351	8750
2	5358	8742

Stop Event

1×	node limit

Counts

308 → 285

Calls

Call 1

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

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

eval189.0ms (2.9%)

Compiler: Compiled 5743 to 4552 computations (20.7% saved)

prune45.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	1	1
Picked	2	2	4
Done	2	2	4
Total	341	6	347

Accuracy

100.0%

Counts

347 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	57.1%	(/.f64 1 N)
✓	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
✓	45.3%	(neg.f64 (log.f64 N))
▶	100.0%	(log1p.f64 (/.f64 1 N))
	4.4%	N
✓	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	57.1%	(/.f64 1 N)
✓	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
✓	45.3%	(neg.f64 (log.f64 N))
▶	100.0%	(log1p.f64 (/.f64 1 N))
	4.4%	N

Compiler

Compiled 74 to 56 computations (24.3% saved)

localize25.0ms (0.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 11 to 8 computations (27.3% 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))

rewrite90.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`pow1`
1046×	`add-exp-log`
1046×	`log1p-expm1-u`
1046×	`expm1-log1p-u`
1020×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	135	11
2	1501	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1150×	`fma-def`
724×	`fma-neg`
722×	`cancel-sign-sub-inv`
712×	`associate-*r/`
592×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	717
1	146	619
2	466	523
3	2152	515
4	5099	515

Stop Event

1×	node limit

Counts

27 → 51

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

eval16.0ms (0.2%)

Compiler: Compiled 560 to 393 computations (29.8% saved)

prune11.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	51	6	57

Accuracy

100.0%

Counts

57 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	57.1%	(/.f64 1 N)
✓	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
✓	45.3%	(neg.f64 (log.f64 N))
✓	100.0%	(log1p.f64 (/.f64 1 N))
	4.4%	N

Compiler

Compiled 130 to 90 computations (30.8% saved)

regimes20.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
8.0ms	N

Results

Accuracy	Segments	Branch
100.0%	1	`N`
100.0%	1	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 103 to 69 computations (33% saved)

regimes15.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`N`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
57.1%	1	`N`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
N

Outputs
N

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
4.4%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.42668884744016e-5	6.338853519414339

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 138 to 108 computations (21.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg`
8×	`+-commutative`
6×	`neg-mul-1`
6×	`*-commutative`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	56
1	26	56
2	33	56
3	38	56
4	41	56
5	42	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
N

Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
N

Compiler

Compiled 26 to 19 computations (26.9% saved)

soundness1.2s (18.8%)

Rules

1952×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`
1548×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	240	40
2	2510	40
0	15	79
1	339	71
2	5045	71
0	684	12017
1	1688	11173
2	5611	11067
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	684	12017
1	1688	11173
2	5611	11067

Stop Event

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

Compiler

Compiled 262 to 197 computations (24.8% saved)

end0.0ms (0%)

preprocess63.0ms (1%)

Compiler: Compiled 62 to 44 computations (29% saved)

analyze3.0ms (0%)

sample2.3s (34.4%)

preprocess410.0ms (6.3%)

eval1.0ms (0%)

prune3.0ms (0%)

localize317.0ms (4.8%)

series5.0ms (0.1%)

rewrite99.0ms (1.5%)

simplify154.0ms (2.3%)

eval66.0ms (1%)

prune42.0ms (0.6%)

localize169.0ms (2.6%)

series16.0ms (0.2%)

rewrite129.0ms (2%)

simplify185.0ms (2.8%)

eval274.0ms (4.2%)

prune128.0ms (2%)

localize197.0ms (3%)

series4.0ms (0.1%)

rewrite135.0ms (2.1%)

simplify151.0ms (2.3%)

eval189.0ms (2.9%)

prune45.0ms (0.7%)

localize25.0ms (0.4%)

series0.0ms (0%)

rewrite90.0ms (1.4%)

simplify69.0ms (1.1%)

eval16.0ms (0.2%)

prune11.0ms (0.2%)

regimes20.0ms (0.3%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch18.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.2s (18.8%)

end0.0ms (0%)

preprocess63.0ms (1%)

Profiling