Metrics for 2log (problem 3.3.6)

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
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)

sample2.0s (23.4%)

Results

758.0ms	4804×	body	256	valid
728.0ms	2140×	body	1024	valid
293.0ms	1043×	body	512	valid
176.0ms	269×	body	2048	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess299.0ms (3.6%)

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
▶	51.8%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	51.8%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	51.8%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	51.8%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize167.0ms (2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 N)
✓	51.8%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	55.8%	(log.f64 (+.f64 N 1))
✓	51.8%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 30 to 15 computations (50% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite77.0ms (0.9%)

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))

simplify124.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

162 → 136

Calls

Call 1

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

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

eval132.0ms (1.6%)

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

prune29.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	130	8	138

Accuracy

100.0%

Counts

138 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
▶	53.6%	(/.f64 1 N)
▶	51.7%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	51.7%	(-.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))))
▶	49.8%	(-.f64 N (log.f64 N))
▶	52.5%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
	48.5%	(neg.f64 (log.f64 N))
	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	51.5%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
▶	53.6%	(/.f64 1 N)
▶	51.7%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	51.7%	(-.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))))
▶	49.8%	(-.f64 N (log.f64 N))
▶	52.5%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
	48.5%	(neg.f64 (log.f64 N))
	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 308 to 228 computations (26% saved)

localize213.0ms (2.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
	100.0%	(log1p.f64 N)
✓	99.8%	(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	99.3%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
✓	51.8%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	100.0%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
✓	99.5%	(/.f64 1/3 (pow.f64 N 3))
✓	99.4%	(/.f64 -1/2 (*.f64 N N))
✓	80.1%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
✓	100.0%	(-.f64 N (log.f64 N))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	99.4%	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 112 to 56 computations (50% saved)

series22.0ms (0.3%)

Counts

10 → 92

Calls

30 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	(-.f64 N (log.f64 N))
4.0ms	N	@	0	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))
1.0ms	N	@	-inf	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
1.0ms	N	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)

rewrite118.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`add-sqr-sqrt`
540×	`pow1`
534×	`*-un-lft-identity`
532×	`add-exp-log`
532×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	198
1	584	182

Stop Event

1×	node limit

Counts

10 → 423

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

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

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1442×	`fma-def`
1078×	`times-frac`
932×	`associate-r`
322×	`sub-neg`
318×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	947	19153
1	2588	17791

Stop Event

1×	node limit

Counts

515 → 600

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

eval263.0ms (3.1%)

Compiler: Compiled 12211 to 8416 computations (31.1% saved)

prune105.0ms (1.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	595	6	601
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	597	12	609

Accuracy

100.0%

Counts

609 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 1 N) N))) 2)
	26.6%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
▶	18.1%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
▶	51.7%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	53.6%	(/.f64 1 N)
	51.7%	(-.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))))
✓	49.8%	(-.f64 N (log.f64 N))
▶	52.5%	(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
✓	52.5%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
	48.5%	(neg.f64 (log.f64 N))
▶	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N
▶	51.6%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 1 N) N))) 2)
	26.6%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
▶	18.1%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
▶	51.7%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	53.6%	(/.f64 1 N)
	51.7%	(-.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))))
✓	49.8%	(-.f64 N (log.f64 N))
▶	52.5%	(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
✓	52.5%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
	48.5%	(neg.f64 (log.f64 N))
▶	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N

Compiler

Compiled 426 to 302 computations (29.1% saved)

localize300.0ms (3.6%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1 N) N)
✓	99.8%	(sqrt.f64 (log.f64 (/.f64 (+.f64 1 N) N)))
✓	99.3%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 1 N) N))) 2)
✓	51.9%	(log.f64 (/.f64 (+.f64 1 N) N))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	100.0%	(-.f64 (.f64 (.f64 N N) 2) N)
✓	100.0%	(.f64 (.f64 N N) 2)
✓	99.8%	(.f64 N (.f64 (*.f64 N N) 2))
✓	58.5%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	99.8%	(*.f64 1/3 (pow.f64 N -3))
✓	80.0%	(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))

Compiler

Compiled 149 to 96 computations (35.6% saved)

series12.0ms (0.1%)

Counts

14 → 152

Calls

42 calls:

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

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`add-sqr-sqrt`
548×	`pow1`
544×	`*-un-lft-identity`
536×	`add-exp-log`
534×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	280
1	643	256

Stop Event

1×	node limit

Counts

14 → 408

Calls

Call 1

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

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

simplify188.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1424×	`log-prod`
1032×	`fma-neg`
762×	`times-frac`
736×	`associate-r`
642×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	702	15384
1	1728	14268
2	7339	14256

Stop Event

1×	node limit

Counts

560 → 421

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

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

eval163.0ms (1.9%)

Compiler: Compiled 8573 to 5648 computations (34.1% saved)

prune77.0ms (0.9%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	482	1	483
Fresh	0	4	4
Picked	1	4	5
Done	0	3	3
Total	483	12	495

Accuracy

100.0%

Counts

495 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.6%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
✓	18.1%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
✓	51.7%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	53.6%	(/.f64 1 N)
▶	51.7%	(-.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))))
✓	49.8%	(-.f64 N (log.f64 N))
✓	52.5%	(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
✓	52.5%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
▶	48.5%	(neg.f64 (log.f64 N))
✓	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	51.9%	(log.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))))
	4.5%	N
▶	26.6%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
✓	18.1%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
✓	51.7%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	53.6%	(/.f64 1 N)
▶	51.7%	(-.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))))
✓	49.8%	(-.f64 N (log.f64 N))
✓	52.5%	(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
✓	52.5%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
▶	48.5%	(neg.f64 (log.f64 N))
✓	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	51.9%	(log.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))))
	4.5%	N

Compiler

Compiled 238 to 168 computations (29.4% saved)

localize292.0ms (3.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 N (-.f64 N 1/2))
✓	76.7%	(/.f64 (*.f64 N (-.f64 N 1/2)) N)
✓	76.5%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
✓	99.8%	(/.f64 1/4 (pow.f64 N 4))
	99.5%	(/.f64 1/3 (pow.f64 N 3))
	99.4%	(/.f64 1/2 (*.f64 N N))
✓	66.0%	(-.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))))
✓	100.0%	(log1p.f64 (/.f64 (+.f64 1 N) N))
✓	100.0%	(/.f64 (+.f64 1 N) N)
✓	95.7%	(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N)))
✓	51.9%	(log.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))))

Compiler

Compiled 145 to 92 computations (36.6% saved)

series6.0ms (0.1%)

Counts

9 → 96

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
1.0ms	N	@	0	(*.f64 N (-.f64 N 1/2))
1.0ms	N	@	inf	(*.f64 N (-.f64 N 1/2))
1.0ms	N	@	-inf	(*.f64 N (-.f64 N 1/2))
1.0ms	N	@	0	(/.f64 1/4 (pow.f64 N 4))

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
632×	`pow1`
626×	`*-un-lft-identity`
624×	`log1p-expm1-u`
622×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	191
1	668	181

Stop Event

1×	node limit

Counts

9 → 208

Calls

Call 1

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

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

simplify133.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1048×	`log-prod`
652×	`fma-neg`
604×	`associate-l`
592×	`associate-r`
588×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	521	9208
1	1360	8584
2	6367	8584

Stop Event

1×	node limit

Counts

304 → 309

Calls

Call 1

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

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

eval263.0ms (3.1%)

Compiler: Compiled 8100 to 6093 computations (24.8% saved)

prune59.0ms (0.7%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	370	5	375
Fresh	0	1	1
Picked	2	2	4
Done	0	7	7
Total	372	15	387

Accuracy

100.0%

Counts

387 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3)
	27.6%	(/.f64 (/.f64 (.f64 N N) N) (.f64 N N))
✓	18.1%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
✓	51.7%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
	30.0%	(/.f64 N (*.f64 N N))
✓	53.6%	(/.f64 1 N)
✓	51.7%	(-.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))))
✓	49.8%	(-.f64 N (log.f64 N))
✓	52.5%	(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
✓	52.5%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
	51.7%	(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
✓	48.5%	(neg.f64 (log.f64 N))
	50.2%	(log.f64 (/.f64 (-.f64 1 (.f64 N N)) (.f64 N (-.f64 1 N))))
✓	51.9%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N

Compiler

Compiled 363 to 238 computations (34.4% saved)

regimes47.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
100.0%	2	`N`
100.0%	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 213 to 132 computations (38% saved)

regimes30.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
99.9%	2	`N`
99.9%	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 145 to 83 computations (42.8% saved)

regimes19.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`N`

Compiler

Compiled 101 to 54 computations (46.5% saved)

regimes18.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`N`

Compiler

Compiled 88 to 44 computations (50% saved)

regimes16.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`N`

Compiler

Compiled 70 to 33 computations (52.9% saved)

regimes14.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`N`

Compiler

Compiled 66 to 32 computations (51.5% saved)

regimes9.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
53.6%	1	`N`

Compiler

Compiled 63 to 30 computations (52.4% 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
4.5%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001668726963028888	5.644798586225291

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.527919170830955e-7	0.0001668726963028888

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5992.092104466611	1172618.4933504178

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 173 to 135 computations (22% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5992.092104466611	1172618.4933504178

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 131 to 100 computations (23.7% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.003548407173177217	5992.092104466611

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 147 to 108 computations (26.5% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.003548407173177217	5992.092104466611

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 138 to 108 computations (21.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative`
30×	`sub-neg`
22×	`*-commutative`
18×	`neg-mul-1`
18×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	406
1	90	406
2	113	406
3	133	406
4	145	406
5	150	406
6	151	406

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (-.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)))) (log.f64 (/.f64 (-.f64 1 (.f64 N N)) (*.f64 N (-.f64 1 N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/4722366482869645213696) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 9000) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))))
(if (<=.f64 N 350000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8286623314361713/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (-.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)))) (log.f64 (/.f64 (-.f64 1 (.f64 N N)) (*.f64 N (-.f64 1 N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/4722366482869645213696) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 9000) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))))
(if (<=.f64 N 350000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8286623314361713/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
N

Compiler

Compiled 155 to 113 computations (27.1% saved)

soundness2.7s (31.9%)

Rules

1952×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`
1442×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	11	40
1	240	40
2	2510	40
0	28	280
1	643	256
0	29	191
1	668	181
0	521	9208
1	1360	8584
2	6367	8584
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	25	198
1	584	182
0	947	19153
1	2588	17791
0	193	4354
1	485	4058
2	1730	4010
3	7452	4010
0	25	198
1	584	182
0	947	19153
1	2588	17791

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

Compiler

Compiled 809 to 627 computations (22.5% saved)

end0.0ms (0%)

preprocess101.0ms (1.2%)

Compiler: Compiled 312 to 216 computations (30.8% saved)

analyze2.0ms (0%)

sample2.0s (23.4%)

preprocess299.0ms (3.6%)

eval0.0ms (0%)

prune2.0ms (0%)

localize167.0ms (2%)

series5.0ms (0.1%)

rewrite77.0ms (0.9%)

simplify124.0ms (1.5%)

eval132.0ms (1.6%)

prune29.0ms (0.3%)

localize213.0ms (2.5%)

series22.0ms (0.3%)

rewrite118.0ms (1.4%)

simplify155.0ms (1.8%)

eval263.0ms (3.1%)

prune105.0ms (1.3%)

localize300.0ms (3.6%)

series12.0ms (0.1%)

rewrite105.0ms (1.2%)

simplify188.0ms (2.2%)

eval163.0ms (1.9%)

prune77.0ms (0.9%)

localize292.0ms (3.5%)

series6.0ms (0.1%)

rewrite96.0ms (1.1%)

simplify133.0ms (1.6%)

eval263.0ms (3.1%)

prune59.0ms (0.7%)

regimes47.0ms (0.6%)

regimes30.0ms (0.4%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch20.0ms (0.2%)

simplify14.0ms (0.2%)

soundness2.7s (31.9%)

end0.0ms (0%)

preprocess101.0ms (1.2%)

Profiling