Metrics for 2log (problem 3.3.6)

analyze4.0ms (0.1%)

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)

sample2.2s (31%)

Results

868.0ms	4902×	body	256	valid
756.0ms	2080×	body	1024	valid
386.0ms	995×	body	512	valid
142.0ms	279×	body	2048	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess325.0ms (4.6%)

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)

eval0.0ms (0%)

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

prune2.0ms (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)

localize151.0ms (2.2%)

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)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite84.0ms (1.2%)

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))

simplify133.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-neg`
572×	`unswap-sqr`
530×	`log-prod`
498×	`associate-+l+`
480×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	4362
1	488	4058
2	1742	4006
3	7493	4006

Stop Event

1×	node limit

Counts

162 → 132

Calls

Call 1

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

eval48.0ms (0.7%)

Compiler: Compiled 1767 to 957 computations (45.8% saved)

prune26.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	127	7	134

Accuracy

100.0%

Counts

134 → 7

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

Compiler

Compiled 264 to 200 computations (24.2% saved)

localize447.0ms (6.4%)

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)

series38.0ms (0.6%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	N	@	0	(-.f64 N (log.f64 N))
10.0ms	N	@	-inf	(-.f64 N (log.f64 N))
3.0ms	N	@	inf	(-.f64 N (log.f64 N))
2.0ms	N	@	0	(/.f64 1/2 (*.f64 N N))
2.0ms	N	@	0	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))

rewrite308.0ms (4.4%)

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)
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(*.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)))

simplify224.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1200×	`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	12029
1	1687	11173
2	5637	11067

Stop Event

1×	node limit

Counts

385 → 466

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

eval223.0ms (3.2%)

Compiler: Compiled 7255 to 4567 computations (37.1% saved)

prune165.0ms (2.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	460	6	466
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	463	10	473

Accuracy

100.0%

Counts

473 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.6%	(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 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
▶	20.6%	(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 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 264 to 194 computations (26.5% saved)

localize282.0ms (4%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (+.f64 1 (+.f64 (/.f64 1 N) -1)))
✓	48.7%	(+.f64 1 (+.f64 (/.f64 1 N) -1))
✓	76.7%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	100.0%	(-.f64 (*.f64 (/.f64 N 1/2) N) N)
✓	99.8%	(/.f64 (*.f64 N N) (/.f64 1/2 N))
✓	60.5%	(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 N)))
✓	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))

Compiler

Compiled 148 to 102 computations (31.1% saved)

series7.0ms (0.1%)

Counts

10 → 108

Calls

30 calls:

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

rewrite121.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`add-sqr-sqrt`
752×	`pow1`
746×	`*-un-lft-identity`
728×	`log1p-expm1-u`
728×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	230
1	793	226

Stop Event

1×	node limit

Counts

10 → 205

Calls

Call 1

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

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

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1044×	`log-prod`
800×	`fma-neg`
740×	`times-frac`
612×	`exp-prod`
572×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	7721
1	1095	7199
2	5088	6733

Stop Event

1×	node limit

Counts

313 → 285

Calls

Call 1

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

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

eval159.0ms (2.3%)

Compiler: Compiled 4764 to 3406 computations (28.5% saved)

prune52.0ms (0.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	1	1
Picked	2	3	5
Done	2	2	4
Total	287	8	295

Accuracy

100.0%

Counts

295 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.6%	(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 N)))
✓	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	21.4%	(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 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
✓	20.6%	(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 N)))
✓	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	21.4%	(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 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 134 to 94 computations (29.9% saved)

localize64.0ms (0.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	99.8%	(/.f64 (*.f64 N N) (/.f64 1/2 N))
✓	38.6%	(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))
✓	100.0%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 48 to 28 computations (41.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 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))
0.0ms	N	@	0	(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))
0.0ms	N	@	-inf	(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`log-prod`
630×	`pow-exp`
526×	`expm1-udef`
524×	`log1p-udef`
514×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	322	42
2	4491	42

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))

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

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1078×	`distribute-lft-in`
986×	`fma-neg`
976×	`unswap-sqr`
876×	`cancel-sign-sub-inv`
608×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	2504
1	857	2314
2	3522	2294

Stop Event

1×	node limit

Counts

126 → 164

Calls

Call 1

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

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(-.f64 (+.f64 N (.f64 N (.f64 N -1/2))) (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2))) (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 (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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 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)) (fma.f64 1/2 (pow.f64 N -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 (/.f64 1 N) (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 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)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.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 0 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 2 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (log1p.f64 (/.f64 (pow.f64 N -2) N)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (log1p.f64 (/.f64 (pow.f64 N -2) N)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log1p.f64 (/.f64 1 (pow.f64 N 3))) (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 -1 N))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(log1p.f64 (/.f64 1 N))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(log1p.f64 (/.f64 1 N))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1) 1))
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(log1p.f64 (/.f64 1 N))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(log1p.f64 (/.f64 1 N))
(+.f64 0 (*.f64 (/.f64 N (/.f64 1/2 N)) (/.f64 1/2 (pow.f64 N 3))))
(/.f64 1 N)
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eval60.0ms (0.9%)

Compiler: Compiled 2835 to 1971 computations (30.5% saved)

prune32.0ms (0.5%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	181	5	186
Fresh	0	1	1
Picked	0	2	2
Done	0	5	5
Total	181	13	194

Accuracy

100.0%

Counts

194 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.6%	(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 N)))
✓	55.4%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	21.4%	(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))
✓	57.1%	(/.f64 1 N)
✓	56.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
	30.7%	(.f64 (/.f64 (/.f64 N (/.f64 1/2 N)) (.f64 N (neg.f64 N))) (/.f64 -1/2 N))
	33.3%	(.f64 (/.f64 (+.f64 N N) (.f64 N N)) (/.f64 N (+.f64 N N)))
	30.7%	(.f64 (/.f64 (.f64 N N) (/.f64 N (/.f64 1/2 N))) (/.f64 2 N))
	33.3%	(.f64 (/.f64 N (.f64 (neg.f64 (*.f64 N N)) (/.f64 1/2 N))) (/.f64 -1/2 N))
	33.7%	(*.f64 (/.f64 1 (/.f64 1/2 N)) (/.f64 (/.f64 -1/2 N) (neg.f64 N)))
✓	45.3%	(neg.f64 (log.f64 N))
✓	100.0%	(log1p.f64 (/.f64 1 N))
	4.4%	N

Compiler

Compiled 344 to 221 computations (35.8% saved)

regimes23.0ms (0.3%)

Counts

22 → 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)))
(*.f64 (/.f64 1 (/.f64 1/2 N)) (/.f64 (/.f64 -1/2 N) (neg.f64 N)))
(.f64 (/.f64 (.f64 N N) (/.f64 N (/.f64 1/2 N))) (/.f64 2 N))
(.f64 (/.f64 (+.f64 N N) (.f64 N N)) (/.f64 N (+.f64 N N)))
(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))
(.f64 (/.f64 N (.f64 (neg.f64 (*.f64 N N)) (/.f64 1/2 N))) (/.f64 -1/2 N))
(.f64 (/.f64 (/.f64 N (/.f64 1/2 N)) (.f64 N (neg.f64 N))) (/.f64 -1/2 N))
(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 N)))
(neg.f64 (log.f64 N))
(log1p.f64 (/.f64 1 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(*.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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))

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

Calls

2 calls:

13.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 216 to 136 computations (37% saved)

regimes17.0ms (0.2%)

Counts

12 → 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)))
(*.f64 (/.f64 1 (/.f64 1/2 N)) (/.f64 (/.f64 -1/2 N) (neg.f64 N)))
(.f64 (/.f64 (.f64 N N) (/.f64 N (/.f64 1/2 N))) (/.f64 2 N))
(.f64 (/.f64 (+.f64 N N) (.f64 N N)) (/.f64 N (+.f64 N N)))
(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))
(.f64 (/.f64 N (.f64 (neg.f64 (*.f64 N N)) (/.f64 1/2 N))) (/.f64 -1/2 N))
(.f64 (/.f64 (/.f64 N (/.f64 1/2 N)) (.f64 N (neg.f64 N))) (/.f64 -1/2 N))
(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 N)))
(neg.f64 (log.f64 N))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`N`

Compiler

Compiled 120 to 68 computations (43.3% saved)

regimes10.0ms (0.1%)

Counts

11 → 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)))
(*.f64 (/.f64 1 (/.f64 1/2 N)) (/.f64 (/.f64 -1/2 N) (neg.f64 N)))
(.f64 (/.f64 (.f64 N N) (/.f64 N (/.f64 1/2 N))) (/.f64 2 N))
(.f64 (/.f64 (+.f64 N N) (.f64 N N)) (/.f64 N (+.f64 N N)))
(/.f64 (.f64 N (.f64 N 2)) (/.f64 (*.f64 N N) (/.f64 1/2 N)))
(.f64 (/.f64 N (.f64 (neg.f64 (*.f64 N N)) (/.f64 1/2 N))) (/.f64 -1/2 N))
(.f64 (/.f64 (/.f64 N (/.f64 1/2 N)) (.f64 N (neg.f64 N))) (/.f64 -1/2 N))
(/.f64 (-.f64 (.f64 (/.f64 N 1/2) N) N) (/.f64 (.f64 N N) (/.f64 1/2 N)))

Outputs
(/.f64 1 N)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
57.1%	1	`N`

Compiler

Compiled 117 to 66 computations (43.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
N

Outputs
N

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.4%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.42668884744016e-5	6.338853519414339

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 138 to 108 computations (21.7% saved)

simplify6.0ms (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)

soundness1.4s (19.6%)

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	12029
1	1687	11173
2	5637	11067
0	33	230
1	793	226
0	462	7721
1	1095	7199
2	5088	6733
0	194	4362
1	488	4058
2	1742	4006
3	7493	4006
0	194	4362
1	488	4058
2	1742	4006
3	7493	4006
0	194	4362
1	488	4058
2	1742	4006
3	7493	4006
0	684	12029
1	1687	11173
2	5637	11067

Stop Event

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

Compiler

Compiled 380 to 300 computations (21.1% saved)

end0.0ms (0%)

preprocess143.0ms (2.1%)

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

analyze4.0ms (0.1%)

sample2.2s (31%)

preprocess325.0ms (4.6%)

eval0.0ms (0%)

prune2.0ms (0%)

localize151.0ms (2.2%)

series2.0ms (0%)

rewrite84.0ms (1.2%)

simplify133.0ms (1.9%)

eval48.0ms (0.7%)

prune26.0ms (0.4%)

localize447.0ms (6.4%)

series38.0ms (0.6%)

rewrite308.0ms (4.4%)

simplify224.0ms (3.2%)

eval223.0ms (3.2%)

prune165.0ms (2.4%)

localize282.0ms (4%)

series7.0ms (0.1%)

rewrite121.0ms (1.7%)

simplify112.0ms (1.6%)

eval159.0ms (2.3%)

prune52.0ms (0.7%)

localize64.0ms (0.9%)

series1.0ms (0%)

rewrite86.0ms (1.2%)

simplify73.0ms (1%)

eval60.0ms (0.9%)

prune32.0ms (0.5%)

regimes23.0ms (0.3%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

bsearch19.0ms (0.3%)

simplify6.0ms (0.1%)

soundness1.4s (19.6%)

end0.0ms (0%)

preprocess143.0ms (2.1%)

Profiling