Metrics for 2log (problem 3.3.6)

analyze1.3s (10.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	199.9%	-99.9%	0%	0%	0%	1
0%	0%	399.8%	-299.8%	0%	0%	0%	2
0%	0%	799.6%	-699.6%	0%	0%	0%	3
0%	0%	1599.2%	-1499.2%	0%	0%	0%	4
0%	0%	3198.4%	-3098.4%	0%	0%	0%	5
0%	0%	6396.9%	-6296.9%	0%	0%	0%	6
0%	0%	12793.8%	-12693.8%	0%	0%	0%	7
0%	0%	25587.5%	-25487.5%	0%	0%	0%	8
0%	0%	51175%	-51075%	0%	0%	0%	9
0%	0%	102350%	-102250%	0%	0%	0%	10
0%	0%	204700%	-204600%	0%	0%	0%	11
0%	0%	409400%	-409300%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.6s (20.6%)

Results

880.0ms	7810×	body	256	invalid
707.0ms	4855×	body	256	valid
660.0ms	2077×	body	1024	valid
251.0ms	1041×	body	512	valid
87.0ms	283×	body	2048	valid

Bogosity

preprocess296.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	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)

simplify10.0ms (0.1%)

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

54.4%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	54.4%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize79.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	54.4%	(-.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))

rewrite59.0ms (0.5%)

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)))

simplify69.0ms (0.5%)

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))

eval15.0ms (0.1%)

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

prune22.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Accurracy

99.9%

Counts

72 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	54.1%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
▶	51.8%	(/.f64 1 N)
	49.8%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	50.7%	(-.f64 N (log.f64 N))
▶	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	49.3%	(neg.f64 (log.f64 N))
▶	54.6%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	53.4%	(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	54.1%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
▶	51.8%	(/.f64 1 N)
	49.8%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	50.7%	(-.f64 N (log.f64 N))
▶	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	49.3%	(neg.f64 (log.f64 N))
▶	54.6%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 272 to 192 computations (29.4% saved)

localize1.2s (9.6%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
✓	99.4%	(cbrt.f64 (log1p.f64 N))
✓	98.6%	(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	100.0%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	99.9%	(/.f64 1/2 (*.f64 N N))
✓	99.8%	(/.f64 1/3 (pow.f64 N 3))
✓	82.8%	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	98.9%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 108 to 57 computations (47.2% saved)

series28.0ms (0.2%)

Counts

9 → 85

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	N	@	0	(cbrt.f64 (log1p.f64 N))
6.0ms	N	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
5.0ms	N	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
2.0ms	N	@	0	(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms	N	@	0	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))

rewrite174.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`expm1-udef`
552×	`add-sqr-sqrt`
530×	`pow1`
526×	`*-un-lft-identity`
522×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	167
1	575	153
2	7892	153

Stop Event

1×	node limit

Counts

9 → 301

Calls

Call 1

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

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

simplify615.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1502×	`fma-def`
1360×	`associate-r`
650×	`times-frac`
510×	`associate-+r+`
448×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	926	22124
1	2731	19904

Stop Event

1×	node limit

Counts

386 → 493

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 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(-.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (*.f64 -1 (log.f64 (/.f64 1 N))))
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(log1p.f64 (-.f64 (*.f64 N (+.f64 N 1)) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(pow.f64 (log1p.f64 N) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(fabs.f64 (cbrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(.f64 (pow.f64 (log1p.f64 N) 1/6) (.f64 (pow.f64 (log1p.f64 N) 1/6) (cbrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.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 -1/2 (.f64 N N) (.f64 1/3 (pow.f64 N 3)))))
(+.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.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 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.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 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 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (neg.f64 (neg.f64 (log.f64 N))) (neg.f64 (log.f64 N)))
0
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 N) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (.f64 2/3 (.f64 (/.f64 1 N) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (.f64 (.f64 (/.f64 1 N) (.f64 (.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) 1)) (neg.f64 (log.f64 N)))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) N) 0)
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(-.f64 (.f64 1/3 (pow.f64 N 3)) (-.f64 (.f64 N (*.f64 N 1/2)) N))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2))))
(exp.f64 (log.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(-.f64 (.f64 1/3 (pow.f64 N 3)) (-.f64 (.f64 N (*.f64 N 1/2)) N))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 N (.f64 N -1/2))))
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(+.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) 1 (log.f64 N)))
(+.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) 1 (log.f64 N)))
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(+.f64 (log.f64 (fma.f64 N N N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
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(log.f64 (fma.f64 N N N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(+.f64 (log.f64 (sqrt.f64 (.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(-.f64 (+.f64 (log1p.f64 N) 0) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 N N N))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 N N N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 N N N))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 N N N)) 2)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N 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 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.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)) (+.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) 3) (pow.f64 (log.f64 N) 3)) (+.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) (log.f64 (fma.f64 N N N)))))
(/.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 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (log.f64 (fma.f64 N N N)))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))
(fabs.f64 (log.f64 (fma.f64 N N N)))
(log.f64 (*.f64 N (+.f64 N 1)))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(log.f64 (+.f64 1 (-.f64 (*.f64 N (+.f64 N 1)) 1)))
(log1p.f64 (fma.f64 N (+.f64 N 1) -1))
(log1p.f64 (+.f64 (fma.f64 N N N) -1))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (fma.f64 N N N))
(log1p.f64 (-.f64 (*.f64 N (+.f64 N 1)) 1))
(log1p.f64 (fma.f64 N (+.f64 N 1) -1))
(log1p.f64 (+.f64 (fma.f64 N N N) -1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(cbrt.f64 (log1p.f64 N))
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) 1)
(cbrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (log1p.f64 N) 1/6))
(cbrt.f64 (log1p.f64 N))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 1/6) 2)
(cbrt.f64 (log1p.f64 N))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(cbrt.f64 (log1p.f64 N))
(fabs.f64 (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(cbrt.f64 (log1p.f64 N))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(cbrt.f64 (log1p.f64 N))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)))
(.f64 (pow.f64 (log1p.f64 N) 1/6) (.f64 (pow.f64 (log1p.f64 N) 1/6) (cbrt.f64 (log1p.f64 N))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) 1))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)

eval668.0ms (5.3%)

Compiler: Compiled 20058 to 14884 computations (25.8% saved)

prune128.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	540	2	542
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	541	9	550

Accurracy

99.9%

Counts

550 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
✓	51.8%	(/.f64 1 N)
▶	49.8%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	50.7%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	54.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	49.3%	(neg.f64 (log.f64 N))
✓	54.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0
▶	54.1%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
✓	51.8%	(/.f64 1 N)
▶	49.8%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	50.7%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	54.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	49.3%	(neg.f64 (log.f64 N))
✓	54.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0

Compiler

Compiled 130 to 96 computations (26.2% saved)

localize1.3s (10.6%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	99.6%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
	98.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	99.9%	(/.f64 (/.f64 1/2 N) N)
✓	100.0%	(-.f64 N (log.f64 N))
✓	100.0%	(/.f64 N (+.f64 N 1))
✓	98.9%	(log.f64 (/.f64 N (+.f64 N 1)))

Compiler

Compiled 80 to 40 computations (50% saved)

series23.0ms (0.2%)

Counts

7 → 68

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	N	@	-inf	(-.f64 N (log.f64 N))
5.0ms	N	@	0	(-.f64 N (log.f64 N))
2.0ms	N	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms	N	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite175.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`fma-def`
736×	`expm1-udef`
734×	`log1p-udef`
436×	`add-sqr-sqrt`
422×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	454	105
2	6270	105

Stop Event

1×	node limit

Counts

7 → 476

Calls

Call 1

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

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

simplify322.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1782×	`fma-neg`
776×	`fma-def`
574×	`associate-l`
558×	`associate-r`
462×	`fma-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	930	19266
1	2282	16968
2	7593	16936

Stop Event

1×	node limit

Counts

544 → 665

Calls

Call 1

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

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

eval308.0ms (2.4%)

Compiler: Compiled 12528 to 6826 computations (45.5% saved)

prune135.0ms (1.1%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	732	4	736
Fresh	0	1	1
Picked	2	2	4
Done	0	4	4
Total	734	11	745

Accurracy

100.0%

Counts

745 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))) 2)
▶	49.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	51.8%	(/.f64 1 N)
✓	50.7%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	54.6%	(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓	54.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶	48.8%	(neg.f64 (log.f64 (-.f64 N (*.f64 N N))))
✓	49.3%	(neg.f64 (log.f64 N))
✓	54.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0
▶	50.8%	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))) 2)
▶	49.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	51.8%	(/.f64 1 N)
✓	50.7%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	54.6%	(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓	54.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶	48.8%	(neg.f64 (log.f64 (-.f64 N (*.f64 N N))))
✓	49.3%	(neg.f64 (log.f64 N))
✓	54.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0

Compiler

Compiled 184 to 138 computations (25% saved)

localize309.0ms (2.4%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(/.f64 1/3 (pow.f64 N 3))
✓	99.9%	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))) 2)
✓	90.1%	(sqrt.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))))
	82.8%	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	100.0%	(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
✓	100.0%	(sqrt.f64 (/.f64 N (+.f64 N 1)))
	100.0%	(/.f64 N (+.f64 N 1))
✓	100.0%	(log.f64 (-.f64 N (*.f64 N N)))

Compiler

Compiled 170 to 106 computations (37.6% saved)

series21.0ms (0.2%)

Counts

6 → 40

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	N	@	inf	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))) 2)
3.0ms	N	@	0	(log.f64 (-.f64 N (*.f64 N N)))
1.0ms	N	@	0	(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
1.0ms	N	@	-inf	(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
1.0ms	N	@	0	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))) 2)

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`add-sqr-sqrt`
578×	`pow1`
574×	`*-un-lft-identity`
566×	`add-exp-log`
562×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	164
1	626	156

Stop Event

1×	node limit

Counts

6 → 197

Calls

Call 1

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

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

simplify157.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1552×	`times-frac`
662×	`fma-neg`
564×	`fma-def`
468×	`log-prod`
448×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	625	10701
1	1523	9567
2	5248	9515

Stop Event

1×	node limit

Counts

237 → 363

Calls

Call 1

Inputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (+.f64 (.f64 -1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 N)))) (/.f64 1 N))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 N)))) (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 N)))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 N))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 N)))) (/.f64 1 N))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 N 2))) 1) (.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 N 2))) 1) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 5/16 (/.f64 1 (pow.f64 N 3)))))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (pow.f64 N 3))))))
(/.f64 -1/2 N)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (log.f64 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2))) (log.f64 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 N 3))) (log.f64 (pow.f64 (sqrt.f64 -1) 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 0 (log.f64 (-.f64 N (*.f64 N N))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 N (.f64 N N)))) (log.f64 (sqrt.f64 (-.f64 N (.f64 N N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 N (.f64 N N))) 2)) (log.f64 (cbrt.f64 (-.f64 N (.f64 N N)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (log.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(-.f64 (log.f64 (-.f64 (.f64 N N) (pow.f64 N 4))) (log.f64 (+.f64 N (.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 N (*.f64 N N))))) 1)
(.f64 1 (log.f64 (-.f64 N (.f64 N N))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 N (.f64 N N)))) 2) (cbrt.f64 (log.f64 (-.f64 N (*.f64 N N)))))
(.f64 (sqrt.f64 (log.f64 (-.f64 N (.f64 N N)))) (sqrt.f64 (log.f64 (-.f64 N (*.f64 N N)))))
(pow.f64 (log.f64 (-.f64 N (*.f64 N N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 N (*.f64 N N)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 N (*.f64 N N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 N (*.f64 N N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 N (*.f64 N N))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 N (*.f64 N N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (log.f64 (log.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (.f64 (log.f64 (log.f64 (-.f64 N (.f64 N N)))) 1))
(log1p.f64 (-.f64 (-.f64 N (*.f64 N N)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (cbrt.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(*.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4) (pow.f64 (/.f64 N (+.f64 N 1)) 1/4))
(*.f64 (sqrt.f64 N) (sqrt.f64 (/.f64 1 (+.f64 N 1))))
(*.f64 (sqrt.f64 N) (pow.f64 (/.f64 1 (+.f64 N 1)) 1/2))
(*.f64 (sqrt.f64 N) (/.f64 1 (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(/.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(/.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N)))
(/.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (+.f64 -1 (neg.f64 N))))
(/.f64 (neg.f64 (sqrt.f64 N)) (neg.f64 (hypot.f64 1 (sqrt.f64 N))))
(pow.f64 (/.f64 N (+.f64 N 1)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 1)
(pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) 3)
(pow.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 2)) (cbrt.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))) (sqrt.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(fabs.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 0 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(+.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)) (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(-.f64 (log.f64 (sqrt.f64 N)) (log.f64 (hypot.f64 1 (sqrt.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))) 1)
(.f64 1 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 2) (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(.f64 (sqrt.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(exp.f64 (log.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 1))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (.f64 (.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (.f64 -1/2 (pow.f64 N -2)) 1 (.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))
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(/.f64 (+.f64 (.f64 (-.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N)) (.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) -1)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) N) (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2))) 1)) (.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N)) (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 1/2 (pow.f64 N -2))) -1)) (.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 3) (pow.f64 N -3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2) (-.f64 (pow.f64 N -2) (.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3))) 3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3)))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2) (pow.f64 N -2)) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3)))) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))

Outputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (.f64 -1/2 (.f64 N N))))
(+.f64 (log.f64 N) (fma.f64 -1/2 (*.f64 N N) (neg.f64 N)))
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (+.f64 (.f64 -1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 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 (log.f64 N) N))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 N))))
(+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 N))))
(fma.f64 -2 (neg.f64 (log.f64 N)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 N)))) (/.f64 1 N))
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 N))) (/.f64 1 N)))
(+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 N)) (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 N)))) (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 N))) (+.f64 (/.f64 1 N) (/.f64 1/2 (.f64 N N)))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (/.f64 -1 N)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 N)))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 N))) (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (/.f64 -1 N)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 N)) (/.f64 -1 N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 N))))
(fma.f64 -2 (log.f64 (/.f64 -1 N)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 N)))) (/.f64 1 N))
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 N)) (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (/.f64 1/2 (.f64 N N)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (+.f64 (/.f64 -1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 N)))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 N)) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(-.f64 (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 N 2))) 1) (.f64 1/2 (/.f64 1 N)))
(+.f64 (/.f64 3/8 (*.f64 N N)) (-.f64 1 (/.f64 1/2 N)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 N 2))) 1) (+.f64 (.f64 1/2 (/.f64 1 N)) (*.f64 5/16 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 3/8 (*.f64 N N)) (-.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 5/16 (pow.f64 N 3)))))
(+.f64 (+.f64 1 (/.f64 3/8 (*.f64 N N))) (-.f64 (/.f64 -1/2 N) (/.f64 5/16 (pow.f64 N 3))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(+.f64 (/.f64 1/2 N) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 -1 (/.f64 1/2 N))
(+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (/.f64 1/2 N) (fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 N N)) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (/.f64 1/2 N) (fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 N N)) -1))
(+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (pow.f64 N 3))))))
(+.f64 (/.f64 1/2 N) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (.f64 N N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 (.f64 1/2 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)) 1)) (pow.f64 N 3))))
(+.f64 (/.f64 1/2 N) (fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 N N)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) (pow.f64 N 3)) -1)))
(/.f64 -1/2 N)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/2 N))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/6 (pow.f64 N 3))) (/.f64 1/2 N))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/6 (pow.f64 N 3))) (/.f64 -1/2 N))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))))
(+.f64 (/.f64 1/8 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/6 (pow.f64 N 3))) (/.f64 1/2 N)))
(+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 (/.f64 1/8 (pow.f64 N 4)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(*.f64 2 (log.f64 (sqrt.f64 -1)))
(log.f64 -1)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (log.f64 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 -1) (/.f64 -1/2 N))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2))) (log.f64 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 4))) (.f64 N N)) (*.f64 2 (log.f64 (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/2 N) (fma.f64 1/2 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) -1/4) (*.f64 N N)) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 N 3))) (log.f64 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 4))) (.f64 N N)) (fma.f64 -1/6 (/.f64 (-.f64 (fma.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)) 1) (pow.f64 (sqrt.f64 -1) 2)) (.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 N 3)) (.f64 2 (log.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 -1/2 N) (fma.f64 1/2 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) -1/4) (*.f64 N N)) (fma.f64 -1/6 (/.f64 (fma.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) -1) (fma.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) 1) (/.f64 -1/4 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 N 3)) (log.f64 -1))))
(/.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 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(+.f64 0 (log.f64 (-.f64 N (*.f64 N N))))
(log.f64 (-.f64 N (*.f64 N N)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 N (.f64 N N)))) (log.f64 (sqrt.f64 (-.f64 N (.f64 N N)))))
(.f64 2 (log.f64 (sqrt.f64 (-.f64 N (.f64 N N)))))
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(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (.f64 N N))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (.f64 N N)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))

eval397.0ms (3.1%)

Compiler: Compiled 12229 to 9354 computations (23.5% saved)

prune153.0ms (1.2%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	554	1	555
Fresh	0	1	1
Picked	0	4	4
Done	0	6	6
Total	554	12	566

Accurracy

100.0%

Counts

566 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
✓	50.8%	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))) 2)
✓	49.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	51.8%	(/.f64 1 N)
✓	50.7%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	54.6%	(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓	54.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.8%	(neg.f64 (log.f64 (-.f64 N (*.f64 N N))))
✓	49.3%	(neg.f64 (log.f64 N))
✓	54.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0

Compiler

Compiled 250 to 171 computations (31.6% saved)

regimes57.0ms (0.5%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	N
12.0ms	(-.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 150 to 95 computations (36.7% saved)

regimes14.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (-.f64 N (*.f64 N N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`N`

Compiler

Compiled 50 to 32 computations (36% saved)

regimes27.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (-.f64 N (*.f64 N N))))

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`N`

Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes14.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`N`

Compiler

Compiled 30 to 19 computations (36.7% saved)

regimes50.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (log.f64 N))

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

Calls

1 calls:

48.0ms

Results

Accuracy	Segments	Branch
97.6%	2	`N`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
51.8%	1	`N`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.3%	1	`N`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.951833058683633e-6	0.002037626087123101

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	411320.9651383158	30078734.699844167

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 138 to 107 computations (22.5% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	125756.66726457859	411320.9651383158

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 97 to 74 computations (23.7% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2781427816788312	17.097101624086164

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 117 to 86 computations (26.5% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2781427816788312	17.097101624086164

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	267
1	62	267
2	77	267
3	85	267
4	89	267
5	90	267

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/590295810358705651712) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 420000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 180000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
0

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/590295810358705651712) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 420000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 180000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
0

Compiler

Compiled 106 to 78 computations (26.4% saved)

soundness1.6s (12.9%)

Rules

1818×	`fma-def`
1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`

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	7	15
1	144	15
2	1887	15
0	926	22124
1	2731	19904
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	20	105
1	454	105
2	6270	105
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	26	167
1	575	153
2	7892	153
0	926	22124
1	2731	19904

Stop Event

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

Compiler

Compiled 413 to 293 computations (29.1% saved)

end0.0ms (0%)

preprocess72.0ms (0.6%)

Compiler: Compiled 216 to 152 computations (29.6% 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

analyze1.3s (10.1%)

sample2.6s (20.6%)

preprocess296.0ms (2.3%)

simplify10.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize79.0ms (0.6%)

series1.0ms (0%)

rewrite59.0ms (0.5%)

simplify69.0ms (0.5%)

eval15.0ms (0.1%)

prune22.0ms (0.2%)

localize1.2s (9.6%)

series28.0ms (0.2%)

rewrite174.0ms (1.4%)

simplify615.0ms (4.8%)

eval668.0ms (5.3%)

prune128.0ms (1%)

localize1.3s (10.6%)

series23.0ms (0.2%)

rewrite175.0ms (1.4%)

simplify322.0ms (2.5%)

eval308.0ms (2.4%)

prune135.0ms (1.1%)

localize309.0ms (2.4%)

series21.0ms (0.2%)

rewrite86.0ms (0.7%)

simplify157.0ms (1.2%)

eval397.0ms (3.1%)

prune153.0ms (1.2%)

regimes57.0ms (0.5%)

regimes14.0ms (0.1%)

regimes27.0ms (0.2%)

regimes14.0ms (0.1%)

regimes50.0ms (0.4%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch13.0ms (0.1%)

simplify21.0ms (0.2%)

soundness1.6s (12.9%)

end0.0ms (0%)

preprocess72.0ms (0.6%)

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