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)

sample1.5s (28.1%)

Results

613.0ms	4914×	body	256	valid
554.0ms	2072×	body	1024	valid
171.0ms	1005×	body	512	valid
109.0ms	265×	body	2048	valid
0.0ms	5×	body	256	invalid

Bogosity

preprocess409.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

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

Problems

131×	`(log.f64 (+.f64 N 1))`
125×	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

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 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	55.1%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize44.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	55.1%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`pow1`
1396×	`add-exp-log`
1396×	`log1p-expm1-u`
1396×	`expm1-log1p-u`
1364×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1887	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log1p.f64 N) (log.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))) (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 (neg.f64 (log.f64 N)) (log1p.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (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))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(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)))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1672×	`div-sub`
1558×	`fma-neg`
1126×	`fma-def`
798×	`associate-r`
726×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1407
1	336	1319
2	1094	1313
3	5448	1309

Stop Event

1×	node limit

Counts

47 → 68

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 (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))) (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 (neg.f64 (log.f64 N)) (log1p.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (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))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(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)))

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

eval14.0ms (0.3%)

Compiler: Compiled 898 to 422 computations (53% saved)

prune19.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Accuracy

99.9%

Counts

69 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 1 N)
▶	49.0%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	55.1%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	52.2%	(-.f64 N (log.f64 N))
	49.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
▶	50.8%	(neg.f64 (log.f64 N))
▶	55.2%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	50.8%	(/.f64 1 N)
▶	49.0%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	55.1%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	52.2%	(-.f64 N (log.f64 N))
	49.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
▶	50.8%	(neg.f64 (log.f64 N))
▶	55.2%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 196 to 140 computations (28.6% saved)

localize126.0ms (2.4%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 N (log.f64 N))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	99.8%	(/.f64 (/.f64 1/2 N) N)
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	55.2%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 59 to 33 computations (44.1% saved)

series12.0ms (0.2%)

Counts

5 → 60

Calls

15 calls:

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

rewrite114.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`log-prod`
1330×	`fma-def`
600×	`expm1-udef`
598×	`log1p-udef`
536×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	341	71
2	5142	71

Stop Event

1×	node limit

Counts

5 → 353

Calls

Call 1

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

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

simplify160.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1248×	`fma-neg`
624×	`fma-def`
566×	`log-prod`
478×	`exp-prod`
434×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	739	13321
1	1808	11945
2	6104	11637

Stop Event

1×	node limit

Counts

413 → 506

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

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (.f64 -1/2 (.f64 N N)))
(+.f64 N (-.f64 (.f64 N (.f64 N -1/2)) (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))))
(+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2))) (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (+.f64 N -1/2) (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (+.f64 N -1/2) (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1 N)
(+.f64 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 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(*.f64 -1/2 (pow.f64 N -2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
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eval159.0ms (3.1%)

Compiler: Compiled 7847 to 4948 computations (36.9% saved)

prune76.0ms (1.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	500	6	506
Fresh	0	1	1
Picked	2	3	5
Done	1	0	1
Total	503	10	513

Accuracy

100.0%

Counts

513 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.6%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
▶	24.7%	(/.f64 1 (/.f64 (.f64 N N) (-.f64 N (/.f64 N (.f64 N 2)))))
▶	49.0%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
✓	50.8%	(/.f64 1 N)
✓	52.2%	(-.f64 N (log.f64 N))
	49.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
▶	25.4%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓	50.8%	(neg.f64 (log.f64 N))
▶	55.2%	(log.f64 (+.f64 1 (/.f64 1 N)))
	4.4%	N
▶	24.6%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
▶	24.7%	(/.f64 1 (/.f64 (.f64 N N) (-.f64 N (/.f64 N (.f64 N 2)))))
▶	49.0%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
✓	50.8%	(/.f64 1 N)
✓	52.2%	(-.f64 N (log.f64 N))
	49.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
▶	25.4%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓	50.8%	(neg.f64 (log.f64 N))
▶	55.2%	(log.f64 (+.f64 1 (/.f64 1 N)))
	4.4%	N

Compiler

Compiled 306 to 220 computations (28.1% saved)

localize231.0ms (4.5%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 1/3 (pow.f64 N 3))
✓	76.0%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓	75.5%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	99.9%	(/.f64 1 (/.f64 (.f64 N N) (-.f64 N (/.f64 N (.f64 N 2)))))
✓	75.6%	(/.f64 (.f64 N N) (-.f64 N (/.f64 N (.f64 N 2))))
✓	99.9%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
✓	99.9%	(/.f64 N (+.f64 1 (/.f64 -1/2 N)))
✓	75.5%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	55.2%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 143 to 86 computations (39.9% saved)

series5.0ms (0.1%)

Counts

9 → 96

Calls

27 calls:

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

rewrite86.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`add-sqr-sqrt`
618×	`pow1`
616×	`*-un-lft-identity`
602×	`add-exp-log`
602×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	193
1	642	171

Stop Event

1×	node limit

Counts

9 → 293

Calls

Call 1

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

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

simplify148.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

838×	`log-prod`
744×	`associate-/r*`
722×	`associate-r`
716×	`associate-l`
624×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	621	11353
1	1577	10695
2	6364	10641

Stop Event

1×	node limit

Counts

389 → 348

Calls

Call 1

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

Outputs
(*.f64 -1 (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 -1/2 (.f64 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 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (.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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 -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 2))
(.f64 -2 (.f64 N N))
(.f64 N (.f64 N -2))
(+.f64 (.f64 -4 (pow.f64 N 3)) (.f64 -2 (pow.f64 N 2)))
(fma.f64 -4 (pow.f64 N 3) (.f64 -2 (.f64 N N)))
(fma.f64 (pow.f64 N 3) -4 (.f64 N (.f64 N -2)))
(+.f64 (.f64 -8 (pow.f64 N 4)) (+.f64 (.f64 -4 (pow.f64 N 3)) (*.f64 -2 (pow.f64 N 2))))
(fma.f64 -8 (pow.f64 N 4) (fma.f64 -4 (pow.f64 N 3) (.f64 -2 (.f64 N N))))
(fma.f64 (pow.f64 N 4) -8 (fma.f64 (pow.f64 N 3) -4 (.f64 N (.f64 N -2))))
(+.f64 (.f64 -16 (pow.f64 N 5)) (+.f64 (.f64 -8 (pow.f64 N 4)) (+.f64 (.f64 -4 (pow.f64 N 3)) (.f64 -2 (pow.f64 N 2)))))
(fma.f64 -16 (pow.f64 N 5) (fma.f64 -8 (pow.f64 N 4) (fma.f64 -4 (pow.f64 N 3) (.f64 -2 (.f64 N N)))))
(fma.f64 -16 (pow.f64 N 5) (fma.f64 (pow.f64 N 4) -8 (fma.f64 (pow.f64 N 3) -4 (.f64 N (.f64 N -2)))))
N
(+.f64 1/2 N)
(+.f64 N 1/2)
(+.f64 1/2 (+.f64 N (*.f64 1/4 (/.f64 1 N))))
(+.f64 1/2 (+.f64 N (/.f64 1/4 N)))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 1/2 (+.f64 N (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 2))) (.f64 1/4 (/.f64 1 N)))))
(+.f64 (+.f64 N 1/2) (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N))))
(+.f64 1/2 (+.f64 (+.f64 N (/.f64 1/4 N)) (/.f64 1/8 (*.f64 N N))))
N
(+.f64 1/2 N)
(+.f64 N 1/2)
(+.f64 1/2 (+.f64 N (*.f64 1/4 (/.f64 1 N))))
(+.f64 1/2 (+.f64 N (/.f64 1/4 N)))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 1/2 (+.f64 N (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 2))) (.f64 1/4 (/.f64 1 N)))))
(+.f64 (+.f64 N 1/2) (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N))))
(+.f64 1/2 (+.f64 (+.f64 N (/.f64 1/4 N)) (/.f64 1/8 (*.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 2))
(.f64 -2 (.f64 N N))
(.f64 N (.f64 N -2))
(+.f64 (.f64 -4 (pow.f64 N 3)) (.f64 -2 (pow.f64 N 2)))
(fma.f64 -4 (pow.f64 N 3) (.f64 -2 (.f64 N N)))
(fma.f64 (pow.f64 N 3) -4 (.f64 N (.f64 N -2)))
(+.f64 (.f64 -8 (pow.f64 N 4)) (+.f64 (.f64 -4 (pow.f64 N 3)) (*.f64 -2 (pow.f64 N 2))))
(fma.f64 -8 (pow.f64 N 4) (fma.f64 -4 (pow.f64 N 3) (.f64 -2 (.f64 N N))))
(fma.f64 (pow.f64 N 4) -8 (fma.f64 (pow.f64 N 3) -4 (.f64 N (.f64 N -2))))
(+.f64 (.f64 -16 (pow.f64 N 5)) (+.f64 (.f64 -8 (pow.f64 N 4)) (+.f64 (.f64 -4 (pow.f64 N 3)) (.f64 -2 (pow.f64 N 2)))))
(fma.f64 -16 (pow.f64 N 5) (fma.f64 -8 (pow.f64 N 4) (fma.f64 -4 (pow.f64 N 3) (.f64 -2 (.f64 N N)))))
(fma.f64 -16 (pow.f64 N 5) (fma.f64 (pow.f64 N 4) -8 (fma.f64 (pow.f64 N 3) -4 (.f64 N (.f64 N -2)))))
N
(+.f64 1/2 N)
(+.f64 N 1/2)
(+.f64 1/2 (+.f64 N (*.f64 1/4 (/.f64 1 N))))
(+.f64 1/2 (+.f64 N (/.f64 1/4 N)))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 1/2 (+.f64 N (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 2))) (.f64 1/4 (/.f64 1 N)))))
(+.f64 (+.f64 N 1/2) (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N))))
(+.f64 1/2 (+.f64 (+.f64 N (/.f64 1/4 N)) (/.f64 1/8 (*.f64 N N))))
N
(+.f64 1/2 N)
(+.f64 N 1/2)
(+.f64 1/2 (+.f64 N (*.f64 1/4 (/.f64 1 N))))
(+.f64 1/2 (+.f64 N (/.f64 1/4 N)))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 1/2 (+.f64 N (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 2))) (.f64 1/4 (/.f64 1 N)))))
(+.f64 (+.f64 N 1/2) (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N))))
(+.f64 1/2 (+.f64 (+.f64 N (/.f64 1/4 N)) (/.f64 1/8 (*.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 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 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 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))))
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(/.f64 1 N)
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(/.f64 (fma.f64 (-.f64 1 (/.f64 1/2 N)) (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3)) (neg.f64 (pow.f64 N 4)))
(/.f64 (fma.f64 N -1/3 (*.f64 (pow.f64 N 3) (+.f64 -1 (/.f64 1/2 N)))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (/.f64 N (-.f64 1 (/.f64 1/2 N))) (.f64 (.f64 (pow.f64 N 3) 3) 1)) (.f64 (.f64 (pow.f64 N 3) 3) (/.f64 N (-.f64 1 (/.f64 1/2 N)))))
(/.f64 (fma.f64 (pow.f64 N 3) 3 (/.f64 N (-.f64 1 (/.f64 1/2 N)))) (/.f64 (*.f64 (pow.f64 N 4) 3) (-.f64 1 (/.f64 1/2 N))))
(.f64 (/.f64 (fma.f64 3 (pow.f64 N 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (.f64 3 (pow.f64 N 4))) (+.f64 1 (/.f64 -1/2 N)))
(/.f64 (+.f64 (.f64 N N) (.f64 (.f64 (pow.f64 N 3) 3) (+.f64 N -1/2))) (.f64 (.f64 (pow.f64 N 3) 3) (.f64 N N)))
(/.f64 (fma.f64 N N (.f64 (pow.f64 N 3) (.f64 3 (+.f64 N -1/2)))) (.f64 N (.f64 (pow.f64 N 4) 3)))
(/.f64 (fma.f64 (.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3 (.f64 N N)) (.f64 N (.f64 3 (pow.f64 N 4))))
(/.f64 (fma.f64 (.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3 (.f64 N N)) (*.f64 3 (pow.f64 N 5)))
(/.f64 (+.f64 (neg.f64 (.f64 N N)) (.f64 (.f64 (pow.f64 N 3) 3) (neg.f64 (+.f64 N -1/2)))) (.f64 (.f64 (pow.f64 N 3) 3) (neg.f64 (.f64 N N))))
(/.f64 (fma.f64 (+.f64 (neg.f64 N) 1/2) (.f64 3 (pow.f64 N 3)) (neg.f64 (.f64 N N))) (.f64 (.f64 N (neg.f64 (pow.f64 N 4))) 3))
(/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (.f64 N N)) (.f64 (*.f64 N (pow.f64 N 4)) -3))
(/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (.f64 N N)) (.f64 (pow.f64 N 5) -3))
(/.f64 (+.f64 N (.f64 (.f64 (pow.f64 N 3) 3) (-.f64 1 (/.f64 1/2 N)))) (.f64 (.f64 (pow.f64 N 3) 3) N))
(/.f64 (fma.f64 (-.f64 1 (/.f64 1/2 N)) (.f64 3 (pow.f64 N 3)) N) (.f64 (pow.f64 N 4) 3))
(/.f64 (fma.f64 (.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N))) 3 N) (.f64 3 (pow.f64 N 4)))
(/.f64 (+.f64 (.f64 1/3 (/.f64 N (-.f64 1 (/.f64 1/2 N)))) (.f64 (pow.f64 N 3) 1)) (*.f64 (pow.f64 N 3) (/.f64 N (-.f64 1 (/.f64 1/2 N)))))
(/.f64 (fma.f64 1/3 (/.f64 N (-.f64 1 (/.f64 1/2 N))) (pow.f64 N 3)) (/.f64 (pow.f64 N 4) (-.f64 1 (/.f64 1/2 N))))
(/.f64 (fma.f64 1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)) (/.f64 (pow.f64 N 4) (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (+.f64 (.f64 1/3 (neg.f64 (.f64 N N))) (.f64 (pow.f64 N 3) (neg.f64 (+.f64 N -1/2)))) (.f64 (pow.f64 N 3) (neg.f64 (*.f64 N N))))
(/.f64 (fma.f64 -1/3 (.f64 N N) (.f64 (pow.f64 N 3) (+.f64 (neg.f64 N) 1/2))) (*.f64 N (neg.f64 (pow.f64 N 4))))
(/.f64 (fma.f64 N (.f64 N -1/3) (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (*.f64 N (neg.f64 (pow.f64 N 4))))
(/.f64 (fma.f64 N (.f64 N -1/3) (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (neg.f64 (pow.f64 N 5)))
(/.f64 (+.f64 (.f64 1/3 N) (.f64 (pow.f64 N 3) (-.f64 1 (/.f64 1/2 N)))) (*.f64 (pow.f64 N 3) N))
(/.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (-.f64 1 (/.f64 1/2 N)))) (pow.f64 N 4))
(/.f64 (fma.f64 N 1/3 (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (pow.f64 N 4))
(/.f64 (+.f64 (.f64 -1/3 (/.f64 N (-.f64 1 (/.f64 1/2 N)))) (.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 N (-.f64 1 (/.f64 1/2 N)))))
(/.f64 (fma.f64 -1/3 (/.f64 N (-.f64 1 (/.f64 1/2 N))) (neg.f64 (pow.f64 N 3))) (/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 1 (/.f64 1/2 N))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 N -1/3) (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)) (neg.f64 (pow.f64 N 4))) (+.f64 1 (/.f64 -1/2 N)))
(/.f64 (+.f64 (.f64 -1/3 (.f64 N N)) (.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))) (.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N N)))
(/.f64 (fma.f64 -1/3 (.f64 N N) (.f64 (pow.f64 N 3) (+.f64 (neg.f64 N) 1/2))) (*.f64 N (neg.f64 (pow.f64 N 4))))
(/.f64 (fma.f64 N (.f64 N -1/3) (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (*.f64 N (neg.f64 (pow.f64 N 4))))
(/.f64 (fma.f64 N (.f64 N -1/3) (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (neg.f64 (pow.f64 N 5)))
(/.f64 (+.f64 (.f64 -1/3 (neg.f64 (.f64 N N))) (.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2)))) (.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (*.f64 N N))))
(.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N 3) (.f64 N (*.f64 N 1/3))) (/.f64 1 (pow.f64 N 5)))
(/.f64 (fma.f64 N (.f64 N 1/3) (.f64 (pow.f64 N 3) (+.f64 N -1/2))) (pow.f64 N 5))
(/.f64 (+.f64 (.f64 -1/3 N) (.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1 (/.f64 1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (fma.f64 (-.f64 1 (/.f64 1/2 N)) (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3)) (neg.f64 (pow.f64 N 4)))
(/.f64 (fma.f64 N -1/3 (*.f64 (pow.f64 N 3) (+.f64 -1 (/.f64 1/2 N)))) (neg.f64 (pow.f64 N 4)))
(/.f64 (neg.f64 (fma.f64 1/3 (.f64 N N) (.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (neg.f64 (pow.f64 N 5)))
(/.f64 (fma.f64 -1/3 (.f64 N N) (.f64 (pow.f64 N 3) (+.f64 (neg.f64 N) 1/2))) (*.f64 N (neg.f64 (pow.f64 N 4))))
(/.f64 (fma.f64 N (.f64 N -1/3) (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (*.f64 N (neg.f64 (pow.f64 N 4))))
(/.f64 (fma.f64 N (.f64 N -1/3) (.f64 (pow.f64 N 3) (-.f64 1/2 N))) (neg.f64 (pow.f64 N 5)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1/3 (pow.f64 N 3)) 3) (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 6)) (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (+.f64 (*.f64 N 1/3) -1/6) (pow.f64 N 5)))))
(/.f64 (-.f64 (/.f64 -1/27 (pow.f64 (pow.f64 N 3) 3)) (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 6))) (-.f64 (/.f64 -1/9 (pow.f64 N 6)) (-.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (/.f64 (fma.f64 N 1/3 -1/6) (pow.f64 N 5)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))) (neg.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))) (neg.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))
(/.f64 (+.f64 (/.f64 -1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (neg.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (-.f64 1/2 N)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 6)) (pow.f64 (/.f64 1/3 (pow.f64 N 3)) 3)) (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (.f64 (.f64 (+.f64 N -1/2) (pow.f64 N -2)) (/.f64 1/3 (pow.f64 N 3))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 6)) (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (.f64 (/.f64 1/3 (pow.f64 N 3)) (.f64 (pow.f64 N -2) (+.f64 N -1/2))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 6)) (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (*.f64 (pow.f64 N -2) (fma.f64 N 1/3 -1/6)) (pow.f64 N 3)))))
(pow.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) 1)
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))) 3)
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(pow.f64 (pow.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) 3) 1/3)
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))) 2)
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) 2))
(fabs.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3))))
(log.f64 (exp.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))))))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) 3))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(exp.f64 (log.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))) 1))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (.f64 (+.f64 N -1/2) (pow.f64 N -2))) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 2) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(+.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1)
(/.f64 1/3 (pow.f64 N 3))
(*.f64 1 (/.f64 1/3 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (pow.f64 (/.f64 1/3 (pow.f64 N 3)) 3) 1/3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(/.f64 1/3 (pow.f64 N 3))
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))
(/.f64 1/3 (pow.f64 N 3))
(cbrt.f64 (pow.f64 (/.f64 1/3 (pow.f64 N 3)) 3))
(/.f64 1/3 (pow.f64 N 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1))
(/.f64 1/3 (pow.f64 N 3))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))

eval174.0ms (3.4%)

Compiler: Compiled 6362 to 4827 computations (24.1% saved)

prune54.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	392	2	394
Fresh	1	1	2
Picked	5	0	5
Done	1	2	3
Total	399	5	404

Accuracy

100.0%

Counts

404 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(/.f64 1 (+.f64 N 1/2))
✓	50.8%	(/.f64 1 N)
✓	50.8%	(neg.f64 (log.f64 N))
▶	100.0%	(log1p.f64 (/.f64 1 N))
	4.4%	N
▶	56.0%	(/.f64 1 (+.f64 N 1/2))
✓	50.8%	(/.f64 1 N)
✓	50.8%	(neg.f64 (log.f64 N))
▶	100.0%	(log1p.f64 (/.f64 1 N))
	4.4%	N

Compiler

Compiled 42 to 32 computations (23.8% saved)

localize52.0ms (1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 N 1/2))
✓	100.0%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(/.f64 1 (+.f64 N 1/2))
0.0ms	N	@	0	(/.f64 1 (+.f64 N 1/2))
0.0ms	N	@	-inf	(/.f64 1 (+.f64 N 1/2))
0.0ms	N	@	0	(log1p.f64 (/.f64 1 N))
0.0ms	N	@	-inf	(log1p.f64 (/.f64 1 N))

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1968×	`pow1`
1818×	`add-exp-log`
1818×	`log1p-expm1-u`
1818×	`expm1-log1p-u`
208×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	211	24
2	2542	24

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

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

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
840×	`associate-l`
736×	`fma-def`
732×	`fma-neg`
718×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1736
1	353	1486
2	1047	1258
3	5058	1254

Stop Event

1×	node limit

Counts

64 → 105

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)))))
2
(+.f64 2 (*.f64 -4 N))
(+.f64 2 (+.f64 (.f64 -4 N) (.f64 8 (pow.f64 N 2))))
(+.f64 2 (+.f64 (.f64 -16 (pow.f64 N 3)) (+.f64 (.f64 -4 N) (*.f64 8 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/8 (/.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 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1)
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))
(.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (.f64 N 1/2))))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(pow.f64 (+.f64 N 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.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 (fma.f64 N (*.f64 N -1/2) 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 N (-.f64 (fma.f64 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 N (-.f64 (.f64 (.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(fma.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 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.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 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
2
(+.f64 2 (*.f64 -4 N))
(+.f64 2 (*.f64 N -4))
(fma.f64 N -4 2)
(+.f64 2 (+.f64 (.f64 -4 N) (.f64 8 (pow.f64 N 2))))
(+.f64 2 (fma.f64 -4 N (.f64 (.f64 N N) 8)))
(+.f64 2 (fma.f64 N -4 (.f64 (.f64 N N) 8)))
(fma.f64 N (*.f64 N 8) (fma.f64 N -4 2))
(fma.f64 N -4 (fma.f64 N (*.f64 N 8) 2))
(+.f64 2 (+.f64 (.f64 -16 (pow.f64 N 3)) (+.f64 (.f64 -4 N) (*.f64 8 (pow.f64 N 2)))))
(+.f64 2 (fma.f64 -16 (pow.f64 N 3) (fma.f64 -4 N (.f64 (.f64 N N) 8))))
(+.f64 2 (fma.f64 (pow.f64 N 3) -16 (fma.f64 N -4 (.f64 (.f64 N N) 8))))
(fma.f64 (pow.f64 N 3) -16 (fma.f64 N (*.f64 N 8) (fma.f64 N -4 2)))
(fma.f64 (pow.f64 N 3) -16 (fma.f64 N -4 (fma.f64 N (*.f64 N 8) 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 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/4 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 1/8 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/8 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/8 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/4 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 1/8 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/8 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/8 (pow.f64 N 4)))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (+.f64 N 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (+.f64 N 1/2)))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2)))
(/.f64 -1 (+.f64 -1/2 (neg.f64 N)))
(/.f64 -1 (-.f64 -1/2 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (.f64 N 1/2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (fma.f64 N N (-.f64 1/4 (.f64 N 1/2))))
(/.f64 (fma.f64 N N (+.f64 1/4 (*.f64 N -1/2))) (+.f64 (pow.f64 N 3) 1/8))
(/.f64 (fma.f64 N N (fma.f64 N -1/2 1/4)) (+.f64 (pow.f64 N 3) 1/8))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(/.f64 (+.f64 N -1/2) (fma.f64 N N -1/4))
(pow.f64 (+.f64 N 1/2) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))

eval27.0ms (0.5%)

Compiler: Compiled 1131 to 844 computations (25.4% saved)

prune17.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	0	2	2
Done	0	2	2
Total	104	6	110

Accuracy

100.0%

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(/.f64 1 (+.f64 N 1/2))
✓	50.8%	(/.f64 1 N)
	11.3%	(-.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1)
✓	50.8%	(neg.f64 (log.f64 N))
✓	100.0%	(log1p.f64 (/.f64 1 N))
	10.0%	2

Compiler

Compiled 152 to 105 computations (30.9% saved)

regimes17.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 131 to 86 computations (34.4% saved)

regimes22.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`N`

Compiler

Compiled 63 to 43 computations (31.7% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
56.0%	1	`N`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes8.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
2
N
(/.f64 1 N)

Outputs
2
(/.f64 1 N)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
55.4%	2	`N`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -3.5b remaining (-6.1%)

Threshold costs -3.5b (-6.1%)

Counts

2 → 1

Calls

Call 1

Inputs
2
N

Outputs
2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
10.0%	1	`N`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.15679568935806124	1208.4638301742307

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 108 to 89 computations (17.6% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.15679568935806124	1208.4638301742307

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 76 to 65 computations (14.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	27	73
2	29	73
3	30	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 35 to 28 computations (20% saved)

soundness1.4s (26.9%)

Rules

7864×	`fma-def`
1672×	`div-sub`
1672×	`div-sub`
1654×	`log-prod`
1558×	`fma-neg`

Iterations

Useful iterations: 0 (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
0	7	15
1	144	15
2	1887	15
0	27	193
1	642	171
0	621	11353
1	1577	10695
2	6364	10641
0	126	1407
1	336	1319
2	1094	1313
3	5448	1309
0	15	73
1	341	71
2	5142	71
0	621	11353
1	1577	10695
2	6364	10641
0	126	1407
1	336	1319
2	1094	1313
3	5448	1309

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

Compiler

Compiled 218 to 164 computations (24.8% saved)

end0.0ms (0%)

preprocess55.0ms (1.1%)

Compiler: Compiled 78 to 60 computations (23.1% saved)

analyze2.0ms (0%)

sample1.5s (28.1%)

preprocess409.0ms (7.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (0.8%)

series1.0ms (0%)

rewrite52.0ms (1%)

simplify70.0ms (1.4%)

eval14.0ms (0.3%)

prune19.0ms (0.4%)

localize126.0ms (2.4%)

series12.0ms (0.2%)

rewrite114.0ms (2.2%)

simplify160.0ms (3.1%)

eval159.0ms (3.1%)

prune76.0ms (1.5%)

localize231.0ms (4.5%)

series5.0ms (0.1%)

rewrite86.0ms (1.7%)

simplify148.0ms (2.9%)

eval174.0ms (3.4%)

prune54.0ms (1%)

localize52.0ms (1%)

series1.0ms (0%)

rewrite59.0ms (1.1%)

simplify68.0ms (1.3%)

eval27.0ms (0.5%)

prune17.0ms (0.3%)

regimes17.0ms (0.3%)

regimes22.0ms (0.4%)

regimes8.0ms (0.1%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch18.0ms (0.3%)

bsearch15.0ms (0.3%)

simplify6.0ms (0.1%)

soundness1.4s (26.9%)

end0.0ms (0%)

preprocess55.0ms (1.1%)

Profiling