Metrics for logs (example 3.8)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
100%	23.7%	0%	76.3%	0%	0%	0%	1

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample3.3s (44.8%)

Results

2.3s	4338×	body	1024	valid
488.0ms	2149×	body	512	valid
281.0ms	488×	body	2048	valid
236.0ms	1281×	body	256	valid

Bogosity

preprocess176.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1458×	`unsub-neg`
1120×	`sub-neg`
856×	`distribute-lft-out`
756×	`fma-neg`
734×	`distribute-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	102
1	53	78
2	141	74
3	444	74
4	1725	72
5	3896	72
6	5442	72
7	6537	72
8	7141	72
9	7376	72
10	7412	72
11	7420	72
12	7499	72

Stop Event

1×	node limit

Calls

Call 1

Inputs

(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)

(-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 n (log1p.f64 n) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(-.f64 (-.f64 (.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)
(+.f64 (+.f64 (.f64 (+.f64 1 (neg.f64 n)) (log.f64 (+.f64 1 (neg.f64 n)))) (.f64 n (log.f64 (neg.f64 n)))) -1)
(+.f64 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))) -1)
(fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (fma.f64 n (log.f64 (neg.f64 n)) -1))
(fma.f64 n (log.f64 (neg.f64 n)) (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) -1))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify296.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3016×	`fma-def`
1258×	`associate-+r+`
1136×	`associate-+l+`
828×	`sub-neg`
818×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	29	35
2	65	35
3	150	35
4	348	33
5	706	33
6	1220	33
7	2135	33
8	2830	33
9	3256	33
10	5178	33
11	5938	33
12	6183	33
13	6209	33
14	6217	33
15	6217	33
16	6435	33
17	6611	33
18	6627	33
19	6633	33
20	6639	33
21	6639	33
22	6639	33

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 n (log1p.f64 n) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))

eval1.0ms (0%)

Compiler: Compiled 78 to 41 computations (47.4% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Accurracy

31.0%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.0%	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))
▶	3.1%	(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
▶	1.5%	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
▶	3.1%	(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)
▶	31.0%	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))
▶	3.1%	(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
▶	1.5%	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
▶	3.1%	(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)

Compiler

Compiled 114 to 80 computations (29.8% saved)

localize381.0ms (5.2%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	5.6%	(-.f64 (log1p.f64 n) (log.f64 n))
✓	99.5%	(fma.f64 (+.f64 n 1) (log1p.f64 n) -1)
✓	99.5%	(*.f64 n (log.f64 n))
✓	3.1%	(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
✓	100.0%	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
✓	99.5%	(*.f64 n (log.f64 n))
✓	99.5%	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
✓	3.1%	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
✓	100.0%	(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)
✓	99.5%	(*.f64 n (log.f64 n))
✓	3.3%	(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))

Compiler

Compiled 161 to 75 computations (53.4% saved)

series58.0ms (0.8%)

Counts

11 → 120

Calls

33 calls:

Time	Variable		Point	Expression
32.0ms	n	@	0	(*.f64 n (log.f64 n))
14.0ms	n	@	-inf	(*.f64 n (log.f64 n))
6.0ms	n	@	inf	(*.f64 n (log.f64 n))
1.0ms	n	@	-inf	(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))
1.0ms	n	@	0	(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))

rewrite450.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`fma-neg`
634×	`expm1-udef`
632×	`log1p-udef`
428×	`add-sqr-sqrt`
422×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	267
1	479	247
2	6120	247

Stop Event

1×	node limit

Counts

11 → 588

Calls

Call 1

Inputs
(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))
(*.f64 n (log.f64 n))
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)
(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(*.f64 n (log.f64 n))
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(*.f64 n (log.f64 n))
(fma.f64 (+.f64 n 1) (log1p.f64 n) -1)
(-.f64 (log1p.f64 n) (log.f64 n))

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

simplify579.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1324×	`fma-def`
762×	`log-prod`
572×	`+-commutative`
568×	`associate-+r+`
566×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	729	33418
1	1920	31228
2	7796	30998

Stop Event

1×	node limit

Counts

708 → 588

Calls

Call 1

Inputs
(*.f64 n (-.f64 1 (log.f64 n)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/12 (pow.f64 n 4)) (.f64 1/2 (pow.f64 n 2)))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 n)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(-.f64 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2))) 1)
(-.f64 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(*.f64 n (-.f64 1 (log.f64 n)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/12 (pow.f64 n 4)) (.f64 1/2 (pow.f64 n 2)))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 n)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
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(+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2)))))
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(fma.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1 (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n))) 1 -1)
(fma.f64 (log1p.f64 n) (+.f64 n 1) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) 1 (*.f64 n (log.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) (pow.f64 (cbrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) 2) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) 2) (cbrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) 2) (*.f64 n (log.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) (*.f64 n (log.f64 n)))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) 2) (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) 2) (.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))) 1) -1)
(fma.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n))) 2) (/.f64 1 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (+.f64 n 1)) (*.f64 (sqrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) (*.f64 n (log.f64 n)))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))) (.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))) 1) -1)
(fma.f64 (+.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (.f64 n (log.f64 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 2) (.f64 (.f64 n (log.f64 n)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (.f64 n (log.f64 n)))))) -1)
(fma.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (.f64 n (log.f64 n)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) 1) (fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (+.f64 n 1)) -1) (.f64 n (log.f64 n)))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 0 (*.f64 n (log.f64 n)))
(-.f64 0 (*.f64 n (log.f64 n)))
(-.f64 (fma.f64 n (log.f64 n) 1) 1)
(/.f64 (-.f64 0 (pow.f64 (.f64 n (log.f64 n)) 3)) (+.f64 0 (+.f64 (pow.f64 (.f64 n (log.f64 n)) 2) (.f64 0 (.f64 n (log.f64 n))))))
(/.f64 (-.f64 0 (pow.f64 (.f64 n (log.f64 n)) 2)) (.f64 n (log.f64 n)))
(pow.f64 (*.f64 n (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(neg.f64 (*.f64 n (log.f64 n)))
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (.f64 (log.f64 (.f64 n (log.f64 n))) 1))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(fma.f64 1 (fma.f64 n (log.f64 n) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (cbrt.f64 (fma.f64 n (log.f64 n) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) -1)
(+.f64 -1 (*.f64 (+.f64 n 1) (log1p.f64 n)))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1))) 1)
(*.f64 1 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1))
(*.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)))
(.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 n 1) (log1p.f64 n))) 1) (fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (+.f64 n 1)) -1))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 3) -1) (+.f64 (pow.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) 2) (-.f64 1 (.f64 (.f64 (+.f64 n 1) (log1p.f64 n)) -1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) 1) (fma.f64 (+.f64 n 1) (log1p.f64 n) 1))
(pow.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)))
(exp.f64 (log.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1)))
(+.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)) (+.f64 (neg.f64 (log.f64 n)) (log.f64 n)))
(+.f64 (neg.f64 (log.f64 n)) (log1p.f64 n))
(*.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)))
(*.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (.f64 (log.f64 n) (+.f64 (log.f64 n) (log1p.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 (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 (log.f64 n) (log1p.f64 n)))) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 n) (log1p.f64 n)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log.f64 n) (log1p.f64 n)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (+.f64 (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 (log.f64 n) (log1p.f64 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))) (neg.f64 (+.f64 (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) 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))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 n 1) n) 1)))
(log.f64 (*.f64 (+.f64 n 1) (/.f64 1 n)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 n))) (+.f64 n 1)))
(log.f64 (*.f64 (/.f64 1 n) (+.f64 n 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 n 1) n) 1))
(fma.f64 1 (log1p.f64 n) (neg.f64 (log.f64 n)))
(fma.f64 (log1p.f64 n) 1 (neg.f64 (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 (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 n (-.f64 1 (log.f64 n)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2)))
(fma.f64 n (-.f64 1 (log.f64 n)) (.f64 1/2 (.f64 n n)))
(fma.f64 n (-.f64 1 (log.f64 n)) (.f64 n (.f64 n 1/2)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (.f64 1/2 (.f64 n n))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 1/2 (.f64 n n) (.f64 -1/6 (pow.f64 n 3))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/12 (pow.f64 n 4)) (.f64 1/2 (pow.f64 n 2)))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (.f64 1/2 (.f64 n n)))))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (.f64 n n) (.f64 1/12 (pow.f64 n 4)))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 n))))
(+.f64 1 (log.f64 n))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 n)))))
(+.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 n))
(+.f64 1 (+.f64 (log.f64 n) (/.f64 1/2 n)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n))) (/.f64 1/6 (*.f64 n n)))
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 1 (/.f64 (/.f64 1/6 n) n)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n))))))
(+.f64 1 (+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 (/.f64 1/6 n) n))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))
(+.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))))
(+.f64 (/.f64 1/2 n) (+.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1/2 n) (log.f64 (/.f64 -1 n))) 1))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1/2 n) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) (/.f64 1/6 (*.f64 n n)))
(+.f64 1 (+.f64 (/.f64 1/2 n) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 (/.f64 1/6 n) n))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (log.f64 -1)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (+.f64 (/.f64 1/2 n) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 1/12 (pow.f64 n 3)))) (+.f64 1 (/.f64 -1/6 (*.f64 n n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (neg.f64 (log.f64 (pow.f64 n n))))
(log.f64 (pow.f64 n n))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (neg.f64 (log.f64 (pow.f64 n n))))
(log.f64 (pow.f64 n n))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (neg.f64 (log.f64 (pow.f64 n n))))
(log.f64 (pow.f64 n n))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (neg.f64 (log.f64 (pow.f64 n n))))
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(-.f64 (log1p.f64 n) (log.f64 n))
(log1p.f64 (pow.f64 n -1))
(fma.f64 (log1p.f64 n) 1 (neg.f64 (log.f64 n)))
(-.f64 (log1p.f64 n) (log.f64 n))
(log1p.f64 (pow.f64 n -1))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (neg.f64 (log.f64 n)))
(-.f64 (log1p.f64 n) (log.f64 n))
(log1p.f64 (pow.f64 n -1))
(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))
(log1p.f64 (pow.f64 n -1))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))
(-.f64 (log1p.f64 n) (log.f64 n))
(log1p.f64 (pow.f64 n -1))

eval310.0ms (4.2%)

Compiler: Compiled 14554 to 7963 computations (45.3% saved)

prune113.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	654	2	656
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	658	2	660

Accurracy

100.0%

Counts

660 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 n)
	3.1%	0
▶	100.0%	(log.f64 n)
	3.1%	0

Compiler

Compiled 10 to 8 computations (20% saved)

localize42.0ms (0.6%)

Compiler: Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Accurracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 n)
	3.1%	0
✓	100.0%	(log.f64 n)
	3.1%	0

Compiler

Compiled 10 to 8 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Accurracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 n)
	3.1%	0
✓	100.0%	(log.f64 n)
	3.1%	0

Compiler

Compiled 10 to 8 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Accurracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 n)
	3.1%	0

Compiler

Compiled 62 to 36 computations (41.9% saved)

regimes14.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(log.f64 n)
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1)
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))

Outputs
(log.f64 n)

Calls

3 calls:

8.0ms	n
2.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
2.0ms	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

Results

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

Compiler

Compiled 89 to 55 computations (38.2% 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
3.1%	1	`n`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 n)
0

Outputs
(log.f64 n)
0

Compiler

Compiled 5 to 4 computations (20% saved)

soundness1.5s (21.2%)

Rules

3016×	`fma-def`
1324×	`fma-def`
1324×	`fma-def`
1258×	`associate-+r+`
1136×	`associate-+l+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	29	35
2	65	35
3	150	35
4	348	33
5	706	33
6	1220	33
7	2135	33
8	2830	33
9	3256	33
10	5178	33
11	5938	33
12	6183	33
13	6209	33
14	6217	33
15	6217	33
16	6435	33
17	6611	33
18	6627	33
19	6633	33
20	6639	33
21	6639	33
22	6639	33
0	729	33418
1	1920	31228
2	7796	30998
0	729	33418
1	1920	31228
2	7796	30998

Stop Event

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

Compiler

Compiled 182 to 140 computations (23.1% saved)

end48.0ms (0.7%)

Compiler: Compiled 90 to 70 computations (22.2% saved)

analyze0.0ms (0%)

sample3.3s (44.8%)

preprocess176.0ms (2.4%)

simplify296.0ms (4%)

eval1.0ms (0%)

prune5.0ms (0.1%)

localize381.0ms (5.2%)

series58.0ms (0.8%)

rewrite450.0ms (6.2%)

simplify579.0ms (7.9%)

eval310.0ms (4.2%)

prune113.0ms (1.5%)

localize42.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize0.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes14.0ms (0.2%)

regimes3.0ms (0%)

simplify4.0ms (0.1%)

soundness1.5s (21.2%)

end48.0ms (0.7%)

Profiling