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 (27.5%)

Results

625.0ms	4928×	body	256	valid
614.0ms	2057×	body	1024	valid
190.0ms	1029×	body	512	valid
94.0ms	242×	body	2048	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess263.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	25	38
2	43	38
3	77	38
4	135	38
5	231	38
6	426	36
7	763	36
8	1521	36
9	3012	36
10	3795	36
11	3829	36
12	3853	36
13	3853	36
14	5993	36
15	6433	36
16	6785	36
17	6785	36
18	7176	36
19	7720	36
20	7890	36
21	7946	36

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.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 (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 9 to 7 computations (22.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

132×	`fma-def`
24×	`sub-neg`
20×	`distribute-rgt-in`
20×	`unsub-neg`
18×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

54.6%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	54.6%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize42.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	54.6%	(-.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))

rewrite54.0ms (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)))

simplify171.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1682×	`div-sub`
1522×	`fma-neg`
1100×	`fma-def`
810×	`associate-r`
718×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309

Stop Event

1×	node limit

Counts

47 → 71

Calls

Call 1

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

eval83.0ms (1.5%)

Compiler: Compiled 943 to 456 computations (51.6% saved)

prune15.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Accurracy

99.9%

Counts

72 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(/.f64 1 N)
▶	49.1%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	52.2%	(-.f64 N (log.f64 N))
▶	51.4%	(neg.f64 (log.f64 N))
▶	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	51.2%	(/.f64 1 N)
▶	49.1%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	52.2%	(-.f64 N (log.f64 N))
▶	51.4%	(neg.f64 (log.f64 N))
▶	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 120 to 84 computations (30% saved)

localize128.0ms (2.3%)

Local Accuracy

Found 5 expressions with local accuracy:

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)
✓	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 59 to 33 computations (44.1% saved)

series11.0ms (0.2%)

Counts

5 → 60

Calls

15 calls:

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

rewrite158.0ms (2.8%)

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)))))
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(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)

simplify170.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1208×	`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	1807	11945
2	6112	11637

Stop Event

1×	node limit

Counts

413 → 503

Calls

Call 1

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

eval218.0ms (3.9%)

Compiler: Compiled 7799 to 4929 computations (36.8% saved)

prune140.0ms (2.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	500	3	503
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	500	8	508

Accurracy

100.0%

Counts

508 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.0%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	51.2%	(/.f64 1 N)
✓	49.1%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	52.2%	(-.f64 N (log.f64 N))
▶	54.5%	(+.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))))
✓	51.4%	(neg.f64 (log.f64 N))
✓	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.4%	N
▶	21.0%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	51.2%	(/.f64 1 N)
✓	49.1%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	52.2%	(-.f64 N (log.f64 N))
▶	54.5%	(+.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))))
✓	51.4%	(neg.f64 (log.f64 N))
✓	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.4%	N

Compiler

Compiled 120 to 84 computations (30% saved)

localize243.0ms (4.4%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	71.8%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	99.5%	(/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))
✓	99.2%	(pow.f64 (cbrt.f64 N) 2)
✓	99.1%	(cbrt.f64 N)
✓	54.5%	(+.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))))

Compiler

Compiled 86 to 54 computations (37.2% saved)

series15.0ms (0.3%)

Counts

5 → 12

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	(+.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))))
2.0ms	N	@	inf	(+.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))))
1.0ms	N	@	0	(+.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))))
1.0ms	N	@	inf	(cbrt.f64 N)
1.0ms	N	@	-inf	(/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))

rewrite106.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`prod-diff`
684×	`log1p-udef`
682×	`expm1-udef`
414×	`add-sqr-sqrt`
402×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	113
1	416	73
2	5651	73

Stop Event

1×	node limit

Counts

5 → 149

Calls

Call 1

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

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

simplify118.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1068×	`distribute-rgt-in`
1048×	`distribute-lft-in`
898×	`fma-def`
668×	`log-prod`
408×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	5205
1	810	5023
2	3209	4717

Stop Event

1×	node limit

Counts

161 → 193

Calls

Call 1

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

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

eval102.0ms (1.8%)

Compiler: Compiled 4816 to 3233 computations (32.9% saved)

prune59.0ms (1.1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	218	2	220
Fresh	0	1	1
Picked	1	1	2
Done	0	5	5
Total	219	9	228

Accurracy

100.0%

Counts

228 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.0%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	51.2%	(/.f64 1 N)
✓	49.1%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	53.8%	(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1)
✓	52.2%	(-.f64 N (log.f64 N))
✓	51.4%	(neg.f64 (log.f64 N))
✓	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	53.9%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
	4.4%	N
✓	21.0%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	51.2%	(/.f64 1 N)
✓	49.1%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	53.8%	(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1)
✓	52.2%	(-.f64 N (log.f64 N))
✓	51.4%	(neg.f64 (log.f64 N))
✓	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	53.9%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
	4.4%	N

Compiler

Compiled 120 to 86 computations (28.3% saved)

localize322.0ms (5.8%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
✓	99.1%	(exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	54.7%	(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1)
	100.0%	(/.f64 (+.f64 N 1) N)
✓	100.0%	(log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
✓	94.6%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 74 to 52 computations (29.7% saved)

series5.0ms (0.1%)

Counts

5 → 60

Calls

15 calls:

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

rewrite144.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`log-prod`
640×	`pow-prod-down`
528×	`pow-prod-up`
494×	`fma-def`
476×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	101
1	254	89
2	3035	89

Stop Event

1×	node limit

Counts

5 → 348

Calls

Call 1

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

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

simplify232.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1344×	`log-prod`
818×	`fma-def`
746×	`cube-prod`
646×	`associate-r`
500×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	717	16686
1	1801	15804
2	6645	15492

Stop Event

1×	node limit

Counts

408 → 440

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (*.f64 -1 (log.f64 N)))
(+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (log.f64 (.f64 -1 (log.f64 N))))
(+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (log.f64 (.f64 -1 (log.f64 N))) (.f64 1/2 (.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 N 3) (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (.f64 2 (/.f64 1 (log.f64 N))))))) (+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (log.f64 (.f64 -1 (log.f64 N))) (.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 (+.f64 1 (.f64 -1 (log.f64 N))) (.f64 (pow.f64 N 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2)) (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 N)))))))))))
(+.f64 N (+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 N))) (.f64 (pow.f64 N 3) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2)) (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N))))) (+.f64 1 (.f64 -1 (log.f64 N))))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 3))) (.f64 1/6 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (+.f64 (.f64 2 (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 3)))))))))) (+.f64 (.f64 -1 (log.f64 N)) (.f64 (+.f64 1 (.f64 -1 (log.f64 N))) (.f64 (pow.f64 N 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2)) (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 N))))))))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 1 (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 1 (*.f64 -1 (log.f64 N))))
(+.f64 N (+.f64 1 (+.f64 (.f64 -1 (log.f64 N)) (.f64 (+.f64 1 (.f64 -1 (log.f64 N))) (.f64 (pow.f64 N 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (.f64 -1/2 (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N)))) (/.f64 1 (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 N))) 2))))))))))
(+.f64 N (+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 N))) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N)))) (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (+.f64 1 (.f64 -1 (log.f64 N))))) (.f64 1/6 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (+.f64 (.f64 2 (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 3)))))))))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 N)) (.f64 (+.f64 1 (.f64 -1 (log.f64 N))) (.f64 (pow.f64 N 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (.f64 -1/2 (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N)))) (/.f64 1 (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 N))) 2)))))))))))
1
(+.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
1
(+.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(log.f64 (+.f64 1 (*.f64 -1 (log.f64 N))))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 (log.f64 N)))) (/.f64 N (+.f64 1 (.f64 -1 (log.f64 N)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2)) (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N))))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (log.f64 N)))) (/.f64 N (+.f64 1 (.f64 -1 (log.f64 N))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2)) (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N))))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (log.f64 N)))) (+.f64 (/.f64 N (+.f64 1 (.f64 -1 (log.f64 N)))) (.f64 1/6 (.f64 (pow.f64 N 3) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 2))) (+.f64 (.f64 2 (/.f64 1 (+.f64 1 (.f64 -1 (log.f64 N))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1 (log.f64 N))) 3))))))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 7/6 (/.f64 1 (pow.f64 N 3)))) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 7/6 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 35/24 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 7/6 (/.f64 1 (pow.f64 N 3)))) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 7/6 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 35/24 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) -1)
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 -1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 N))) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (/.f64 1 (neg.f64 N))))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (.f64 1/2 (log1p.f64 N)) (log.f64 (.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (.f64 (log.f64 N) 1)))
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(fma.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 1 -1)
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2) (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2) (*.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1) -1)
(fma.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) -1)
(fma.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) (*.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 0 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))
(+.f64 (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 N 1) N) (E.f64))) 2)) (log.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 N 1) N) (E.f64)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 N 1) N) (E.f64)))) (log.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 N 1) N) (E.f64)))))
(-.f64 (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1)
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(*.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))
(*.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2) (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2) (.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1))
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))))
(.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) (.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (pow.f64 (E.f64) (.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (E.f64))
(pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 1)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) 1) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 2))
(log.f64 (*.f64 (/.f64 (+.f64 N 1) N) (E.f64)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(fma.f64 1 (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) -1)
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 1)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 1 (+.f64 (pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 2) (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))) 1)
(fma.f64 (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))) (hypot.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(+.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(+.f64 0 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 1/2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 1/2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (.f64 1/2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (log.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 1)))
(+.f64 (.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 2 (*.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (log.f64 (-.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 1 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(.f64 3 (.f64 1/3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(.f64 2 (.f64 1/2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(.f64 1/3 (.f64 3 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2))

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

eval506.0ms (9.1%)

Compiler: Compiled 15654 to 9328 computations (40.4% saved)

prune191.0ms (3.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	897	3	900
Fresh	0	1	1
Picked	2	0	2
Done	0	6	6
Total	899	10	909

Accurracy

100.0%

Counts

909 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.0%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	51.2%	(/.f64 1 N)
✓	49.1%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	3.8%	(-.f64 (+.f64 (/.f64 1 N) (-.f64 1 (/.f64 (/.f64 1/2 N) N))) 1)
	54.7%	(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 N 1) N) (E.f64))) 1)
✓	52.2%	(-.f64 N (log.f64 N))
✓	51.4%	(neg.f64 (log.f64 N))
✓	54.7%	(log.f64 (/.f64 (+.f64 N 1) N))
	53.8%	(exp.f64 (log.f64 (+.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))))))
	4.4%	N

Compiler

Compiled 214 to 151 computations (29.4% saved)

regimes25.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (-.f64 1 (/.f64 (/.f64 1/2 N) N))) 1)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 N 1) N) (E.f64))) 1)
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1)
(+.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))))
(exp.f64 (log.f64 (+.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))))))

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

Calls

2 calls:

14.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 137 to 94 computations (31.4% saved)

regimes11.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`N`

Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes11.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`N`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
51.2%	1	`N`

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
N

Outputs
N

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.4%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2576606422953773e-12	0.0008180981456016312

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.4086182892272046	1221.8472955540744

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 148 to 105 computations (29.1% saved)

bsearch16.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.4086182892272046	1221.8472955540744

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 140 to 105 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	167
1	40	167
2	49	167
3	56	167
4	61	167
5	64	167
6	65	167

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4951760157141521/2475880078570760549798248448) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 3152519739159347/4503599627370496) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4951760157141521/2475880078570760549798248448) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 3152519739159347/4503599627370496) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(/.f64 1 N)
N

Compiler

Compiled 67 to 47 computations (29.9% saved)

soundness353.0ms (6.3%)

Rules

1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`
1522×	`fma-neg`
1522×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	7	15
1	144	15
2	1887	15
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309

Stop Event

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

Compiler

Compiled 119 to 79 computations (33.6% saved)

end0.0ms (0%)

preprocess88.0ms (1.6%)

Compiler: Compiled 142 to 94 computations (33.8% saved)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15

analyze2.0ms (0%)

sample1.5s (27.5%)

preprocess263.0ms (4.7%)

simplify9.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize42.0ms (0.8%)

series1.0ms (0%)

rewrite54.0ms (1%)

simplify171.0ms (3.1%)

eval83.0ms (1.5%)

prune15.0ms (0.3%)

localize128.0ms (2.3%)

series11.0ms (0.2%)

rewrite158.0ms (2.8%)

simplify170.0ms (3.1%)

eval218.0ms (3.9%)

prune140.0ms (2.5%)

localize243.0ms (4.4%)

series15.0ms (0.3%)

rewrite106.0ms (1.9%)

simplify118.0ms (2.1%)

eval102.0ms (1.8%)

prune59.0ms (1.1%)

localize322.0ms (5.8%)

series5.0ms (0.1%)

rewrite144.0ms (2.6%)

simplify232.0ms (4.2%)

eval506.0ms (9.1%)

prune191.0ms (3.4%)

regimes25.0ms (0.5%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch16.0ms (0.3%)

bsearch16.0ms (0.3%)

simplify8.0ms (0.1%)

soundness353.0ms (6.3%)

end0.0ms (0%)

preprocess88.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15