Details

analyze424.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
21.4%	18.7%	68.7%	0.1%	0%	12.5%	0%	5
26.9%	21.9%	59.3%	0.1%	0%	18.7%	0%	6
33.3%	25%	50%	0.1%	0%	18.7%	6.2%	7
37%	26.5%	45.3%	0.1%	0%	21.9%	6.2%	8
43.9%	28.1%	35.9%	0.1%	2.3%	21.9%	11.7%	9
47.1%	28.9%	32.4%	0.1%	2.7%	23.4%	12.5%	10
53.3%	30.3%	26.5%	0.1%	4.1%	23.4%	15.5%	11
55.2%	30.7%	25%	0.1%	4.4%	24.2%	15.6%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.8s (37.7%)

Results

2.4s	2738×	body	1024	valid
2.0s	1768×	body	2048	valid
1.5s	1534×	body	1024	invalid
611.0ms	1268×	body	512	valid
579.0ms	2482×	body	256	valid
470.0ms	184×	body	1024	infinite
428.0ms	770×	body	512	invalid
229.0ms	1254×	body	256	invalid
226.0ms	782×	body	256	infinite
148.0ms	240×	body	512	infinite
132.0ms	332×	body	256	unsamplable
54.0ms	11×	body	2048	invalid

Bogosity

preprocess91.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1744×	`unswap-sqr`
1692×	`fma-def`
912×	`distribute-lft-in`
908×	`distribute-rgt-in`
664×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	35	74
2	79	74
3	198	74
4	662	74
5	2203	74
6	6635	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))
(-.f64 (pow.f64 (+.f64 1 n) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1412×	`distribute-lft-neg-in`
872×	`unswap-sqr`
846×	`fma-def`
552×	`*-commutative`
506×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	22	37
2	45	37
3	107	37
4	345	37
5	1156	37
6	3392	37
7	6441	37

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

47.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	100.0%	(pow.f64 x (/.f64 1 n))
✓	96.5%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series117.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
58.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
44.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
6.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
2.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`prod-diff`
1024×	`log-prod`
714×	`pow-prod-down`
684×	`pow-prod-up`
666×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	227	61
2	3113	61

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 x (/.f64 1 n))
(pow.f64 (+.f64 x 1) (/.f64 1 n))

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

simplify152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-neg`
570×	`fma-def`
540×	`exp-prod`
478×	`sub-neg`
474×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	13929
1	1443	12455
2	4725	11635

Stop Event

1×	node limit

Counts

259 → 359

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
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(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 n -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 n -1)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 n -1)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1))
(exp.f64 (.f64 (log1p.f64 x) (fma.f64 (pow.f64 n -1) 1/2 (.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) (fma.f64 (pow.f64 n -1) 1/2 (*.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (.f64 (log1p.f64 x) (.f64 2 (*.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) (.f64 2 (.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (.f64 (.f64 (/.f64 (log1p.f64 x) n) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (/.f64 (log1p.f64 x) n)) 3))
(exp.f64 (.f64 (.f64 3 (/.f64 (log1p.f64 x) n)) 1/3))
(exp.f64 (.f64 (.f64 (/.f64 (log1p.f64 x) n) 3) 1/3))
(exp.f64 (.f64 (.f64 2 (log1p.f64 x)) (*.f64 (pow.f64 n -1) 1/2)))
(exp.f64 (.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 x) (*.f64 (pow.f64 n -1) 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 n -2)))) (cbrt.f64 (pow.f64 n -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) (pow.f64 n -1/2))) (pow.f64 n -1/2)))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (.f64 (pow.f64 n -2) -1/2))) (pow.f64 x 3) (+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (.f64 x x) 1) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (.f64 (pow.f64 n -2) -1/2))) (pow.f64 x 3) (+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (.f64 x x) 1) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n))))))))
(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (.f64 (pow.f64 n -2) -1/2))))))
(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (*.f64 (pow.f64 n -2) -1/2))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n))))))) (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))))
(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (.f64 (pow.f64 n -2) -1/2)))) (*.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 n -2) 11/24 (/.f64 1/24 (pow.f64 n 4))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 x 4)) (pow.f64 x (/.f64 1 n))))))
(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (.f64 (pow.f64 n -2) -1/2)))) (.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 n -2) 11/24 (/.f64 1/24 (pow.f64 n 4))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 x 4)) (pow.f64 x (/.f64 1 n))))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))))
(fma.f64 -1 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) (.f64 (/.f64 (-.f64 (.f64 1/2 (pow.f64 n -2)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (-.f64 (-.f64 (.f64 1/2 (pow.f64 n -2)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/3 n)) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))))
(fma.f64 -1 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
(-.f64 (+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (/.f64 (-.f64 (fma.f64 (pow.f64 n -2) 11/24 (/.f64 1/24 (pow.f64 n 4))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (/.f64 (pow.f64 x 4) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))))) (.f64 (/.f64 (-.f64 (.f64 1/2 (pow.f64 n -2)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (pow.f64 x 4) (-.f64 (fma.f64 (pow.f64 n -2) 11/24 (/.f64 1/24 (pow.f64 n 4))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))) (.f64 (/.f64 (-.f64 (-.f64 (.f64 1/2 (pow.f64 n -2)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/3 n)) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
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(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) 1))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (log.f64 x) (fma.f64 (pow.f64 n -1) 1/2 (.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) (fma.f64 (pow.f64 n -1) 1/2 (*.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (log.f64 x) (.f64 2 (*.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) (.f64 2 (.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 (/.f64 (log.f64 x) n) 1) 1))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) 3))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 3 (/.f64 (log.f64 x) n)) 1/3))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 (/.f64 (log.f64 x) n) 3) 1/3))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (log.f64 (.f64 x x)) (*.f64 (pow.f64 n -1) 1/2)))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 1/2 (/.f64 (log.f64 x) n)) 2))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (.f64 (.f64 (log.f64 x) (*.f64 (pow.f64 n -1) 1/2)) 2))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (cbrt.f64 (pow.f64 n -2)))) (cbrt.f64 (pow.f64 n -1))))
(pow.f64 (pow.f64 x (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (pow.f64 n -1/2))) (pow.f64 n -1/2)))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1))))
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 1 n))
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 n -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 n -1)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 n -1)))
(pow.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 2 (/.f64 1 n)))
(pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 3)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (log1p.f64 x) (fma.f64 (pow.f64 n -1) 1/2 (.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) (fma.f64 (pow.f64 n -1) 1/2 (*.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (log1p.f64 x) (.f64 2 (*.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) (.f64 2 (.f64 (pow.f64 n -1) 1/2))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 (/.f64 (log1p.f64 x) n) 1) 1))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 1/3 (/.f64 (log1p.f64 x) n)) 3))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 3 (/.f64 (log1p.f64 x) n)) 1/3))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 (/.f64 (log1p.f64 x) n) 3) 1/3))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 2 (log1p.f64 x)) (*.f64 (pow.f64 n -1) 1/2)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 2))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (.f64 (.f64 (log1p.f64 x) (*.f64 (pow.f64 n -1) 1/2)) 2))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 n -2)))) (cbrt.f64 (pow.f64 n -1))))
(pow.f64 (pow.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) (pow.f64 n -1/2))) (pow.f64 n -1/2)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))

eval188.0ms (0.8%)

Compiler: Compiled 11573 to 7067 computations (38.9% saved)

prune78.0ms (0.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	340	19	359
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	341	19	360

Accurracy

99.2%

Counts

360 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	32.5%	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
▶	71.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	33.2%	(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))
	65.9%	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
	21.5%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	12.2%	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
	66.3%	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
	63.1%	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
▶	48.3%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	48.1%	(-.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 3))) (pow.f64 x (/.f64 1 n)))
▶	32.6%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	65.9%	(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
	48.4%	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
	44.3%	(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n))))))) (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))))
	63.4%	(+.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2))
	44.3%	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (.f64 (pow.f64 n -2) -1/2)))) (.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 n -2) 11/24 (/.f64 1/24 (pow.f64 n 4))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 x 4)) (pow.f64 x (/.f64 1 n))))))
	47.9%	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
▶	48.3%	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))

Compiler

Compiled 1306 to 890 computations (31.9% saved)

localize9.0ms (0%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	99.8%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	96.4%	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series51.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
10.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	-inf	(-.f64 (log1p.f64 x) (log.f64 x))
1.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`prod-diff`
1008×	`log-prod`
618×	`pow-prod-down`
480×	`pow-prod-up`
462×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	41
1	192	41
2	2720	41

Stop Event

1×	node limit

Counts

3 → 297

Calls

Call 1

Inputs
(-.f64 (log1p.f64 x) (log.f64 x))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log1p.f64 x)

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

simplify206.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1256×	`fma-neg`
604×	`associate-+r+`
604×	`associate-+l+`
552×	`+-commutative`
540×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	22475
1	1759	16003
2	6228	15305

Stop Event

1×	node limit

Counts

345 → 498

Calls

Call 1

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

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

localize8.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 x (/.f64 1 n))
✓	93.0%	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	-inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 1 (pow.f64 x (/.f64 1 n)))

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`pow1`
1588×	`add-exp-log`
1586×	`log1p-expm1-u`
1586×	`expm1-log1p-u`
1558×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2190	19

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x (/.f64 1 n)))

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

926×	`distribute-lft-in`
870×	`distribute-rgt-in`
796×	`fma-neg`
730×	`cancel-sign-sub-inv`
676×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1870
1	290	1750
2	900	1714
3	4249	1670

Stop Event

1×	node limit

Counts

52 → 62

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1))
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1))))
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (*.f64 x x) (pow.f64 n -1))))))
(.f64 (-.f64 1 (pow.f64 (.f64 x x) (pow.f64 n -1))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (.f64 x x) (pow.f64 n -1)))) (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 (*.f64 x x) (pow.f64 n -1)))))
(/.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (.f64 x x) (pow.f64 n -1)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (pow.f64 n -1))) (+.f64 1 (pow.f64 x (pow.f64 n -1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (.f64 x x) (pow.f64 n -1))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x x) (pow.f64 n -1)))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))) (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))) (/.f64 (log.f64 x) n))
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (*.f64 x x) (pow.f64 n -1))))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n)))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 3 n))) (-.f64 (-.f64 -1 (pow.f64 x (/.f64 1 n))) (pow.f64 (*.f64 x x) (/.f64 1 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(.f64 (-.f64 1 (pow.f64 (.f64 x x) (pow.f64 n -1))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 (.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (.f64 x x) (pow.f64 n -1)))) (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n)))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 3 n))) (-.f64 (-.f64 -1 (pow.f64 x (/.f64 1 n))) (pow.f64 (*.f64 x x) (/.f64 1 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 (*.f64 x x) (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 (.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (.f64 x x) (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n)))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 3 n))) (-.f64 (-.f64 -1 (pow.f64 x (/.f64 1 n))) (pow.f64 (*.f64 x x) (/.f64 1 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (pow.f64 n -1))) (+.f64 1 (pow.f64 x (pow.f64 n -1))))
(.f64 (-.f64 1 (pow.f64 (.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 (.f64 x x) (pow.f64 n -1))))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n)))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 3 n))) (-.f64 (-.f64 -1 (pow.f64 x (/.f64 1 n))) (pow.f64 (*.f64 x x) (/.f64 1 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x x) (pow.f64 n -1)))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 (.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 1 (-.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))) (-.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(exp.f64 (/.f64 (log1p.f64 x) n))
	100.0%	(pow.f64 x (/.f64 1 n))
✓	99.8%	(/.f64 (log1p.f64 x) n)
✓	96.1%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series5.0ms (0%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`log-prod`
888×	`prod-diff`
746×	`pow-prod-down`
682×	`pow-prod-up`
624×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	252	59
2	3291	59

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (/.f64 (log1p.f64 x) n))

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

simplify207.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1902×	`fma-neg`
782×	`fma-def`
650×	`log-prod`
554×	`exp-prod`
472×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	584	14318
1	1515	13148
2	5599	13054

Stop Event

1×	node limit

Counts

254 → 384

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
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(+.f64 (.f64 2 (.f64 1/3 (/.f64 (log1p.f64 x) n))) (*.f64 1/3 (/.f64 (log1p.f64 x) n)))
(+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) (.f64 1/2 (/.f64 (log1p.f64 x) n)))
(+.f64 (.f64 1/3 (/.f64 (log1p.f64 x) n)) (.f64 2 (*.f64 1/3 (/.f64 (log1p.f64 x) n))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 n))
(*.f64 (/.f64 (log1p.f64 x) n) 1)
(*.f64 1 (/.f64 (log1p.f64 x) n))
(*.f64 (/.f64 1 n) (log1p.f64 x))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 n)))
(.f64 3 (.f64 1/3 (/.f64 (log1p.f64 x) n)))
(.f64 2 (.f64 1/2 (/.f64 (log1p.f64 x) n)))
(.f64 1/3 (.f64 3 (/.f64 (log1p.f64 x) n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(.f64 (.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(.f64 (.f64 (log1p.f64 x) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(pow.f64 (/.f64 (log1p.f64 x) n) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2)
(pow.f64 (/.f64 n (log1p.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) 1) -1)
(pow.f64 (*.f64 (/.f64 1 (cbrt.f64 n)) (cbrt.f64 (log1p.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 n -3) (pow.f64 (log1p.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 n -1/2) (sqrt.f64 (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log1p.f64 x) n))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log1p.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) 1/2)
(pow.f64 (exp.f64 (*.f64 3 (/.f64 (log1p.f64 x) n))) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (exp.f64 (*.f64 3 (/.f64 (log1p.f64 x) n))))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n))))))))
(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (.f64 n n)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n))))))) (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))))
(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (.f64 n n)))))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))))
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))) (.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
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(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 -1 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (pow.f64 x (/.f64 1 n)) 0))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (pow.f64 x (/.f64 1 n)) 0))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n))))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n))))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 -1 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (pow.f64 x (/.f64 1 n)) 0))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (pow.f64 x (/.f64 1 n)) 0))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (/.f64 (log1p.f64 x) n) 0)
(/.f64 (log1p.f64 x) n)
(+.f64 0 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(+.f64 (.f64 2 (.f64 1/3 (/.f64 (log1p.f64 x) n))) (*.f64 1/3 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) (.f64 1/2 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(+.f64 (.f64 1/3 (/.f64 (log1p.f64 x) n)) (.f64 2 (*.f64 1/3 (/.f64 (log1p.f64 x) n))))
(/.f64 (log1p.f64 x) n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) 1)
(/.f64 (log1p.f64 x) n)
(*.f64 (log1p.f64 x) (/.f64 1 n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (log1p.f64 x) n) 1)
(/.f64 (log1p.f64 x) n)
(*.f64 1 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 1 n) (log1p.f64 x))
(/.f64 (log1p.f64 x) n)
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (.f64 (/.f64 1 n) (cbrt.f64 (log1p.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x))) n)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 n)))
(/.f64 (log1p.f64 x) n)
(.f64 3 (.f64 1/3 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(.f64 2 (.f64 1/2 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(.f64 1/3 (.f64 3 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (.f64 (/.f64 1 n) (cbrt.f64 (log1p.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x))) n)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(.f64 (.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(/.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 n))
(.f64 (.f64 (log1p.f64 x) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 (log1p.f64 x) n) 1)
(/.f64 (log1p.f64 x) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(fabs.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2)
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 n (log1p.f64 x)) -1)
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) 1) -1)
(/.f64 (log1p.f64 x) n)
(pow.f64 (*.f64 (/.f64 1 (cbrt.f64 n)) (cbrt.f64 (log1p.f64 x))) 3)
(pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (cbrt.f64 n))) 3)
(/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 3))
(pow.f64 (*.f64 (pow.f64 n -3) (pow.f64 (log1p.f64 x) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n -3)))
(pow.f64 (*.f64 (pow.f64 n -1/2) (sqrt.f64 (log1p.f64 x))) 2)
(/.f64 (log1p.f64 x) n)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(/.f64 (log1p.f64 x) n)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(fabs.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (log1p.f64 x) n)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3))
(/.f64 (log1p.f64 x) n)
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))
(/.f64 (log1p.f64 x) n)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))
(/.f64 (log1p.f64 x) n)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1) 1))
(/.f64 (log1p.f64 x) n)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3))
(/.f64 (log1p.f64 x) n)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log1p.f64 x) n))) 1/3))
(/.f64 (log1p.f64 x) n)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) 2))
(/.f64 (log1p.f64 x) n)
(exp.f64 (*.f64 (log.f64 (/.f64 n (log1p.f64 x))) -1))
(/.f64 (log1p.f64 x) n)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) 1/2)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (*.f64 3 (/.f64 (log1p.f64 x) n))) 1/3)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (exp.f64 (*.f64 3 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))

localize34.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 x (/.f64 1 n))
	99.8%	(/.f64 (log1p.f64 x) n)
✓	96.5%	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
	96.1%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 91 to 43 computations (52.7% saved)

series44.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	n	@	0	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
8.0ms	n	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
7.0ms	x	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
7.0ms	x	@	inf	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
4.0ms	n	@	inf	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`log-prod`
888×	`prod-diff`
744×	`pow-exp`
574×	`fma-def`
526×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	306	39
2	3885	39

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))

Outputs
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 0)
(+.f64 0 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(+.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (.f64 1/3 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(+.f64 (.f64 1/3 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(+.f64 (.f64 1/4 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (.f64 1/4 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(+.f64 (log.f64 (pow.f64 1 1/2)) (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2) 1/2)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1)
(-.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))))
(.f64 1 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2) (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 (sqrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 3 (.f64 1/3 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 2 (.f64 1/4 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(.f64 1/3 (.f64 3/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(exp.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1/2)))

simplify185.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1900×	`times-frac`
1040×	`fma-def`
668×	`fma-neg`
542×	`associate-r`
510×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	16041
1	1547	14975
2	6267	14859

Stop Event

1×	node limit

Counts

57 → 97

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))
(+.f64 (*.f64 1/2 (/.f64 x n)) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))))
(+.f64 (.f64 1/2 (/.f64 x n)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (.f64 1/2 (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 3 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 5/6 (/.f64 1 (pow.f64 n 3)))) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 1 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 n)))) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))) 2)) n))) (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 -3/2 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 1 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 n)))) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))) 2)) (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) n))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 x n)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (.f64 1/2 (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 2))))))
(.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (+.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (pow.f64 n 3))) (.f64 3 (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) n) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (+.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (pow.f64 n 3))) (.f64 3 (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) n) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (+.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (pow.f64 x 2))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (pow.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) 2)) (+.f64 (.f64 3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2)) (pow.f64 n 2))) (+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) n) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)) (+.f64 (.f64 -3/8 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 4) (pow.f64 n 4))) (.f64 12 (-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 4) (pow.f64 n 4))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) 2))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) n) (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))))) (+.f64 (pow.f64 (.f64 1/2 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 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(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1)
(-.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))))
(.f64 1 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2) (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 (sqrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 3 (.f64 1/3 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 2 (.f64 1/4 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(.f64 1/3 (.f64 3/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(exp.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1/2)))

Outputs
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))
(+.f64 (*.f64 1/2 (/.f64 x n)) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))))
(fma.f64 1/2 (/.f64 x n) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))))
(+.f64 (.f64 1/2 (/.f64 x n)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (.f64 1/2 (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x n) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))) (.f64 1/2 (.f64 (-.f64 (-.f64 (/.f64 1 (.f64 n n)) (/.f64 1/2 n)) (/.f64 1/2 (.f64 n n))) (*.f64 x x))))
(fma.f64 1/2 (/.f64 x n) (fma.f64 1/2 (.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 n) n) (/.f64 -1/2 n)) (/.f64 -1/2 (.f64 n n))) (*.f64 x x)) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 3 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 5/6 (/.f64 1 (pow.f64 n 3)))) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 1 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 n)))) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))) 2)) n))) (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 -3/2 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 1 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 n)))) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))) 2)) (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) n))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 x n)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (+.f64 (.f64 1/2 (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 2))))))
(fma.f64 1/6 (.f64 (fma.f64 3 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 5/6 (pow.f64 n 3)) (/.f64 1 (.f64 n n))))) (/.f64 (.f64 1/2 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 1 (.f64 n n)) (/.f64 1/2 n))) (pow.f64 (.f64 (/.f64 1/2 n) (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) 2))) n)) (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (.f64 -3/2 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 1 (.f64 n n)) (/.f64 1/2 n))) (pow.f64 (.f64 (/.f64 1/2 n) (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) 2)) (.f64 n (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))))) (pow.f64 x 3)) (+.f64 (fma.f64 1/2 (/.f64 x n) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))) (.f64 1/2 (.f64 (-.f64 (-.f64 (/.f64 1 (.f64 n n)) (/.f64 1/2 n)) (/.f64 1/2 (.f64 n n))) (*.f64 x x)))))
(fma.f64 1/6 (.f64 (fma.f64 3 (/.f64 (fma.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 5/6 (pow.f64 n 3)) (/.f64 (/.f64 1 n) n))) (.f64 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (/.f64 (/.f64 1 n) n) (/.f64 -1/2 n))) (pow.f64 (.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) (/.f64 1/2 n)) 2)) n) -1/2)) (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) (fma.f64 -3/2 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (/.f64 (/.f64 1 n) n) (/.f64 -1/2 n))) (pow.f64 (.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) (/.f64 1/2 n)) 2)) (.f64 n (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 x n) (fma.f64 1/2 (.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 n) n) (/.f64 -1/2 n)) (/.f64 -1/2 (.f64 n n))) (.f64 x x)) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))))))
(.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(.f64 1/2 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)))
(.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (+.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (pow.f64 x 2))))
(.f64 1/2 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (.f64 n n)) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (.f64 n n)) -1/4))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) 2)) (.f64 x x))))
(.f64 1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) (.f64 n n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) (.f64 n n)) -1/4))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) 2)) (.f64 x x))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (pow.f64 n 3))) (.f64 3 (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) n) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))) (+.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2))))) (pow.f64 (.f64 1/2 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)) 2)) (pow.f64 x 2)))))
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(fma.f64 1/2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(+.f64 (log.f64 (pow.f64 1 1/2)) (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2) 1/2)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1/2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(fma.f64 1/2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (log.f64 (fabs.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(fma.f64 1/2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1)
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))))
(.f64 1 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2) (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 (sqrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 3 (.f64 1/3 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 2 (.f64 1/4 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 1/3 (.f64 3/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) 1/3)
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2)
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(sqrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(expm1.f64 (log1p.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1) 1))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 3))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1/3))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 2))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1/2)))
(*.f64 1/2 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))

localize72.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 x (*.f64 2 (pow.f64 n -1)))
	99.8%	(/.f64 (log1p.f64 x) n)
✓	99.6%	(/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))
✓	91.7%	(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1))))

Compiler

Compiled 127 to 64 computations (49.6% saved)

series31.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))
4.0ms	x	@	-inf	(/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))
3.0ms	n	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1))))
3.0ms	n	@	inf	(/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))
3.0ms	n	@	-inf	(/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`log-prod`
1156×	`fma-def`
672×	`expm1-udef`
670×	`log1p-udef`
430×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	147
1	403	91
2	5503	91

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs

(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1))))

(/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))

(pow.f64 x (*.f64 2 (pow.f64 n -1)))

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

simplify240.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1128×	`fma-def`
938×	`times-frac`
614×	`associate-+r+`
542×	`associate-+l+`
530×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	837	31108
1	2573	28022

Stop Event

1×	node limit

Counts

232 → 343

Calls

Call 1

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

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

eval1.9s (8.2%)

Compiler: Compiled 95772 to 55852 computations (41.7% saved)

prune618.0ms (2.6%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	2042	21	2063
Fresh	10	4	14
Picked	1	0	1
Done	2	2	4
Total	2055	27	2082

Accurracy

99.9%

Counts

2082 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	71.4%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
▶	55.1%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
▶	31.3%	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	71.1%	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	39.2%	(/.f64 (/.f64 1 x) n)
	37.9%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
✓	71.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	37.2%	(/.f64 (-.f64 x (log.f64 x)) n)
	37.9%	(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) n)
	71.1%	(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 n))
	72.1%	(/.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	37.3%	(/.f64 (neg.f64 (log.f64 x)) n)
▶	72.1%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	56.7%	(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (+.f64 (/.f64 (.f64 2 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))
	38.6%	(/.f64 1 (*.f64 x n))
	71.3%	(/.f64 1 (*.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	21.5%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	12.2%	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
▶	36.8%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
	48.1%	(-.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 3))) (pow.f64 x (/.f64 1 n)))
✓	32.6%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	37.5%	(-.f64 1 1)
	36.2%	(+.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
	71.4%	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	71.4%	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	46.6%	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 720 to 497 computations (31% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) x)
✓	99.8%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	96.3%	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series20.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
4.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	x	@	0	(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`log-prod`
632×	`prod-exp`
610×	`pow-prod-down`
490×	`pow-prod-up`
448×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	209	49
2	2829	49

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 x 1) x))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (+.f64 x 1) x)

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

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1078×	`log-prod`
992×	`fma-neg`
638×	`cube-prod`
500×	`exp-prod`
450×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	6554
1	1244	6246
2	4875	5420

Stop Event

1×	node limit

Counts

234 → 298

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)
(pow.f64 (/.f64 x (+.f64 x 1)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1))
(pow.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 x 1) x) 1)) 1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (+.f64 x 1)) 1) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) -1))
(exp.f64 (+.f64 (*.f64 (log1p.f64 x) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log1p.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize11.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 x (/.f64 1 n))
✓	94.8%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))

Compiler

Compiled 25 to 13 computations (48% saved)

series11.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
4.0ms	x	@	-inf	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
1.0ms	x	@	0	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
1.0ms	n	@	0	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
0.0ms	n	@	inf	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`log-prod`
660×	`prod-exp`
586×	`pow-prod-down`
546×	`pow-prod-up`
464×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	190	25
2	2522	25

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

Inputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))

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

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1488×	`times-frac`
982×	`associate-/l*`
814×	`associate-*r/`
778×	`associate-/r*`
614×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	3167
1	550	2953
2	1679	2953
3	7535	2937

Stop Event

1×	node limit

Counts

85 → 99

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 x (/.f64 1 n))
✓	100.0%	(exp.f64 (/.f64 x n))
✓	93.1%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	n	@	-inf	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
1.0ms	n	@	inf	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	-inf	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	0	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`log-prod`
818×	`prod-diff`
704×	`pow-prod-down`
636×	`pow-prod-up`
584×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	233	40
2	3100	40

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (/.f64 x n))

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

simplify169.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`times-frac`
1050×	`fma-neg`
764×	`cancel-sign-sub-inv`
672×	`unswap-sqr`
630×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	8891
1	930	8225
2	3181	7759

Stop Event

1×	node limit

Counts

173 → 224

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
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(fma.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x n) 2))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (exp.f64 (.f64 (/.f64 x n) 2))) (.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x n) 2))) (cbrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x n) 2))) (cbrt.f64 (exp.f64 (/.f64 x n))) (.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 -1 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 x n)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (pow.f64 x 3) (/.f64 1 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 x n) 2)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (pow.f64 x 3) (/.f64 1 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (.f64 (/.f64 x n) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (.f64 2 (/.f64 1 n)))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (pow.f64 x 3) (/.f64 1 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 x n) 2)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (.f64 (/.f64 x n) 2)) (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (.f64 (/.f64 x n) 2)) (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (.f64 (/.f64 x n) 2)) (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 x n)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 x n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 x n)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n))))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
(+.f64 0 (exp.f64 (/.f64 x n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n)))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) 1)
(*.f64 (exp.f64 (/.f64 x n)) 1)
(*.f64 1 (exp.f64 (/.f64 x n)))
(.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (exp.f64 (.f64 (/.f64 x n) 2))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x n) 2))) (cbrt.f64 (exp.f64 (/.f64 x n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))))
(pow.f64 (exp.f64 (/.f64 x n)) 1)
(pow.f64 (E.f64) (/.f64 x n))
(pow.f64 (exp.f64 x) (/.f64 1 n))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3)
(pow.f64 (exp.f64 (*.f64 (/.f64 x n) 2)) 1/2)
(pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 1 n)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (*.f64 (cbrt.f64 (/.f64 x n)) 1))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 1 n)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (*.f64 (sqrt.f64 (/.f64 x n)) 1))
(sqrt.f64 (exp.f64 (*.f64 (/.f64 x n) 2)))
(log.f64 (exp.f64 (exp.f64 (/.f64 x n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x n))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n))) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 1 (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 x n))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (.f64 n n))) (/.f64 (log.f64 x) n)) (/.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (fma.f64 (/.f64 1/2 n) (/.f64 (.f64 x x) n) (.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (.f64 n n)))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (*.f64 1/6 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n))) (/.f64 (-.f64 x (log.f64 x)) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (-.f64 (fma.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)) (/.f64 (-.f64 x (log.f64 x)) n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 1/2 n)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (.f64 n n))))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (*.f64 1/6 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))))
(-.f64 (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (.f64 1/6 (pow.f64 (/.f64 x n) 3))) (fma.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)) (/.f64 (-.f64 x (log.f64 x)) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (-.f64 (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (.f64 n n))) (/.f64 (log.f64 x) n)) (/.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))
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(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n))))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
(fma.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 x n)))
(-.f64 (exp.f64 (/.f64 x n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))))
(+.f64 0 (exp.f64 (/.f64 x n)))
(exp.f64 (/.f64 x n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n)))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) 1)
(exp.f64 (/.f64 x n))
(*.f64 (exp.f64 (/.f64 x n)) 1)
(exp.f64 (/.f64 x n))
(*.f64 1 (exp.f64 (/.f64 x n)))
(exp.f64 (/.f64 x n))
(.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (exp.f64 (.f64 (/.f64 x n) 2))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)))
(.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x n) 2))) (cbrt.f64 (exp.f64 (/.f64 x n))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))
(pow.f64 (exp.f64 (/.f64 x n)) 1)
(exp.f64 (/.f64 x n))
(pow.f64 (E.f64) (/.f64 x n))
(pow.f64 (exp.f64 x) (/.f64 1 n))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3)
(exp.f64 (/.f64 x n))
(pow.f64 (exp.f64 (*.f64 (/.f64 x n) 2)) 1/2)
(exp.f64 (/.f64 x n))
(pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3)
(exp.f64 (/.f64 x n))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2)
(exp.f64 (/.f64 x n))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 1 n)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 1 n) (cbrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) n))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (*.f64 (cbrt.f64 (/.f64 x n)) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 1 n)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (/.f64 1 n) (sqrt.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) n))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (*.f64 (sqrt.f64 (/.f64 x n)) 1))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))
(sqrt.f64 (exp.f64 (*.f64 (/.f64 x n) 2)))
(exp.f64 (/.f64 x n))
(log.f64 (exp.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n)))))
(exp.f64 (/.f64 x n))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3))
(exp.f64 (/.f64 x n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))

localize12.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 x)
✓	99.9%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
✓	99.8%	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	96.4%	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series55.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
51.0ms	n	@	-inf	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
1.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
1.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
0.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))

rewrite126.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`log-prod`
1242×	`prod-diff`
596×	`pow-prod-up`
574×	`pow-exp`
488×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	237	46
2	3427	46

Stop Event

1×	node limit

Counts

2 → 234

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))

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

simplify192.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

948×	`unswap-sqr`
612×	`div-sub`
532×	`+-commutative`
474×	`associate-+r+`
466×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	652	23454
1	1563	19392
2	5358	12070

Stop Event

1×	node limit

Counts

270 → 403

Calls

Call 1

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

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

eval433.0ms (1.8%)

Compiler: Compiled 31562 to 13996 computations (55.7% saved)

prune361.0ms (1.5%)

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1320	14	1334
Fresh	7	13	20
Picked	1	0	1
Done	1	5	6
Total	1329	32	1361

Accurracy

100.0%

Counts

1361 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
✓	55.1%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	20.0%	(/.f64 (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	72.7%	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	39.2%	(/.f64 (/.f64 1 x) n)
	39.2%	(/.f64 (/.f64 1 n) x)
	37.9%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
✓	71.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	55.1%	(/.f64 (.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) (.f64 x n))
	21.9%	(/.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x n) -1/2)) (sqrt.f64 (*.f64 x n)))
	71.1%	(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 n))
	40.0%	(/.f64 (*.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n -1/2)) (sqrt.f64 n))
	37.3%	(/.f64 (neg.f64 (log.f64 x)) n)
▶	73.4%	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	48.9%	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
	56.7%	(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (+.f64 (/.f64 (.f64 2 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))
▶	38.6%	(/.f64 1 (*.f64 x n))
	71.3%	(/.f64 1 (*.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	37.8%	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
	15.1%	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 1 n)))
	21.5%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	36.8%	(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) (pow.f64 x (/.f64 1 n)))
✓	36.8%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
▶	11.3%	(-.f64 (exp.f64 (/.f64 x n)) 1)
✓	32.6%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	37.5%	(-.f64 1 1)
	36.2%	(+.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
	55.9%	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	71.4%	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
▶	71.4%	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	55.1%	(.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (.f64 x n)))
	46.6%	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 806 to 551 computations (31.6% saved)

localize9.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (/.f64 1 x))
✓	99.7%	(/.f64 (log1p.f64 (/.f64 1 x)) n)

Compiler

Compiled 18 to 12 computations (33.3% saved)

series68.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	n	@	0	(/.f64 (log1p.f64 (/.f64 1 x)) n)
4.0ms	n	@	inf	(/.f64 (log1p.f64 (/.f64 1 x)) n)
0.0ms	n	@	-inf	(/.f64 (log1p.f64 (/.f64 1 x)) n)
0.0ms	x	@	-inf	(/.f64 (log1p.f64 (/.f64 1 x)) n)
0.0ms	x	@	inf	(/.f64 (log1p.f64 (/.f64 1 x)) n)

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`pow1`
1568×	`add-exp-log`
1568×	`log1p-expm1-u`
1568×	`expm1-log1p-u`
1530×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	180	28
2	2178	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(log1p.f64 (/.f64 1 x))

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

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-/l*`
908×	`associate-*r/`
784×	`times-frac`
764×	`fma-def`
728×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2206
1	370	2072
2	1542	1974

Stop Event

1×	node limit

Counts

82 → 117

Calls

Call 1

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

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

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.9%	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (*.f64 x n))
0.0ms	n	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	n	@	-inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	0	(/.f64 1 (*.f64 x n))

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`pow1`
1178×	`add-exp-log`
1178×	`log1p-expm1-u`
1178×	`expm1-log1p-u`
1150×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	139	13
2	1664	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1290×	`fma-neg`
772×	`exp-prod`
688×	`associate-/r/`
664×	`associate-r`
616×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	663
1	152	651
2	457	651
3	3150	651
4	6680	651

Stop Event

1×	node limit

Counts

47 → 27

Calls

Call 1

Inputs
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(.f64 1 (/.f64 1 (.f64 x n)))
(.f64 (/.f64 1 (.f64 x n)) 1)
(.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(.f64 (pow.f64 (.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(.f64 -1 (/.f64 1 (.f64 x (neg.f64 n))))
(*.f64 (/.f64 1 x) (pow.f64 n -1))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(*.f64 (pow.f64 n -1) (/.f64 1 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(pow.f64 (*.f64 x n) -1)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))

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

localize6.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(exp.f64 (/.f64 x n))
✓	94.5%	(-.f64 (exp.f64 (/.f64 x n)) 1)

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (exp.f64 (/.f64 x n)) 1)
0.0ms	n	@	inf	(-.f64 (exp.f64 (/.f64 x n)) 1)
0.0ms	n	@	-inf	(-.f64 (exp.f64 (/.f64 x n)) 1)
0.0ms	x	@	inf	(-.f64 (exp.f64 (/.f64 x n)) 1)
0.0ms	x	@	-inf	(-.f64 (exp.f64 (/.f64 x n)) 1)

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`pow1`
1694×	`add-exp-log`
1692×	`log1p-expm1-u`
1692×	`expm1-log1p-u`
1660×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	185	11
2	2320	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 x n)) 1)

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-*r/`
794×	`associate-*l/`
620×	`fma-neg`
566×	`associate-r`
528×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1395
1	213	1329
2	681	1117
3	3437	1051

Stop Event

1×	node limit

Counts

43 → 50

Calls

Call 1

Inputs
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(+.f64 -1 (exp.f64 (/.f64 x n)))
(*.f64 1 (expm1.f64 (/.f64 x n)))
(*.f64 (expm1.f64 (/.f64 x n)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) 2) (cbrt.f64 (expm1.f64 (/.f64 x n))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 x n))) (sqrt.f64 (expm1.f64 (/.f64 x n))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 1) (-.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 x n)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 x n)) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1) (+.f64 (exp.f64 (/.f64 x n)) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1) (-.f64 (exp.f64 (/.f64 x n)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1)) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) 1)))
(pow.f64 (expm1.f64 (/.f64 x n)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 x n)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 x n))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 x n)) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 x n))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 x n)) 3))
(expm1.f64 (/.f64 x n))
(exp.f64 (log.f64 (expm1.f64 (/.f64 x n))))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 x n))))
(fma.f64 1 (exp.f64 (/.f64 x n)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 2) (cbrt.f64 (exp.f64 (/.f64 x n))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))) -1)

Outputs
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/24 (pow.f64 (/.f64 x n) 4) (.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))))
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/24 (pow.f64 (/.f64 x n) 4) (.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))))
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n))))
(fma.f64 1/6 (pow.f64 (/.f64 x n) 3) (fma.f64 1/24 (pow.f64 (/.f64 x n) 4) (.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(+.f64 -1 (exp.f64 (/.f64 x n)))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(*.f64 1 (expm1.f64 (/.f64 x n)))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(*.f64 (expm1.f64 (/.f64 x n)) 1)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) 2))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) 2) (cbrt.f64 (expm1.f64 (/.f64 x n))))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 x n))) (sqrt.f64 (expm1.f64 (/.f64 x n))))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (fma.f64 (+.f64 (exp.f64 (/.f64 x n)) 1) (exp.f64 (/.f64 x n)) 1))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 x n))) (fma.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) 1) 1))
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) 1)))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 1) (-.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 1))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (fma.f64 (+.f64 (exp.f64 (/.f64 x n)) 1) (exp.f64 (/.f64 x n)) 1))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 x n))) (fma.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) 1) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 x n)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1)))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (fma.f64 (+.f64 (exp.f64 (/.f64 x n)) 1) (exp.f64 (/.f64 x n)) 1))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 x n))) (fma.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) 1) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 x n)) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (fma.f64 (+.f64 (exp.f64 (/.f64 x n)) 1) (exp.f64 (/.f64 x n)) 1))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 x n))) (fma.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) 1) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1) (+.f64 (exp.f64 (/.f64 x n)) 1))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1) (-.f64 (exp.f64 (/.f64 x n)) -1))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (+.f64 (exp.f64 (/.f64 x n)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 x n)) 3)) (fma.f64 (+.f64 (exp.f64 (/.f64 x n)) 1) (exp.f64 (/.f64 x n)) 1))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 x n))) (fma.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) 1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) -1)) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) 1)))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(pow.f64 (expm1.f64 (/.f64 x n)) 1)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x n))) 3)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 x n)) 3) 1/3)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 x n))) 2)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 x n)) 2))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(log.f64 (exp.f64 (expm1.f64 (/.f64 x n))))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 x n)) 3))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(expm1.f64 (/.f64 x n))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(exp.f64 (log.f64 (expm1.f64 (/.f64 x n))))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 x n))))
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(fma.f64 1 (exp.f64 (/.f64 x n)) -1)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 2) (cbrt.f64 (exp.f64 (/.f64 x n))) -1)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))) -1)
(+.f64 (exp.f64 (/.f64 x n)) -1)
(expm1.f64 (/.f64 x n))

localize11.0ms (0%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 x)
✓	99.7%	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	96.4%	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	n	@	0	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	0	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	n	@	inf	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`log-prod`
806×	`prod-diff`
712×	`pow-prod-down`
538×	`pow-prod-up`
516×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	223	21
2	2882	21

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1350×	`times-frac`
1230×	`associate-r`
1078×	`associate-l`
874×	`associate-/r*`
638×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2447
1	476	2401
2	1497	2393

Stop Event

1×	node limit

Counts

75 → 83

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	99.8%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
✓	99.6%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
	96.4%	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 38 to 12 computations (68.4% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
0.0ms	x	@	0	(sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`log-prod`
848×	`prod-diff`
662×	`pow-prod-down`
550×	`pow-prod-up`
528×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	255	55
2	3029	55

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

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

simplify166.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1326×	`times-frac`
636×	`associate-+r+`
498×	`div-sub`
344×	`fma-neg`
338×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	6633
1	1043	6271
2	3366	6047

Stop Event

1×	node limit

Counts

213 → 261

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) x)
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)))) (.f64 -1 (+.f64 (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) x))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)))) (.f64 -1 (+.f64 (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2))) (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) x)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))) (.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (pow.f64 x 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))) (.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x)))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (pow.f64 x 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))) (.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))))))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log.f64 x) 3) (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/6) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (neg.f64 (log.f64 x)) 2)) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) x))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 x 1) x) 1)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 x 1)))
(log.f64 (/.f64 (+.f64 x 1) (+.f64 1 (-.f64 x 1))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1/3))
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log1p.f64 x))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log1p.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 x))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log1p.f64 x))
(fma.f64 -1 (log.f64 x) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log1p.f64 x))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/6) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/6) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/6) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 0 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) -1)
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(+.f64 0 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (hypot.f64 (log1p.f64 x) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6) 3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(hypot.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (neg.f64 (log.f64 x))))
(hypot.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))

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

eval314.0ms (1.3%)

Compiler: Compiled 15479 to 7566 computations (51.1% saved)

prune170.0ms (0.7%)

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	902	14	916
Fresh	7	15	22
Picked	1	0	1
Done	2	7	9
Total	912	36	948

Accurracy

100.0%

Counts

948 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.3%	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	35.0%	(/.f64 (pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2) n)
✓	55.1%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	71.0%	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
	20.0%	(/.f64 (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	39.2%	(/.f64 (/.f64 1 x) n)
	39.2%	(/.f64 (/.f64 1 n) x)
	37.9%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
✓	71.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	55.1%	(/.f64 (.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) (.f64 x n))
	21.9%	(/.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x n) -1/2)) (sqrt.f64 (*.f64 x n)))
	37.3%	(/.f64 (neg.f64 (log.f64 x)) n)
✓	73.4%	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	48.9%	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
	4.7%	(/.f64 x n)
	56.7%	(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (+.f64 (/.f64 (.f64 2 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))
	71.3%	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
✓	38.6%	(/.f64 1 (*.f64 x n))
	37.8%	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
	15.1%	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 1 n)))
	21.5%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	11.1%	(-.f64 (+.f64 (/.f64 x n) 1) 1)
	36.8%	(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) (pow.f64 x (/.f64 1 n)))
✓	36.8%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	32.6%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	37.5%	(-.f64 1 1)
	55.9%	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	39.2%	(*.f64 (/.f64 1 x) (/.f64 1 n))
	71.0%	(*.f64 (/.f64 1 n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
	71.9%	(.f64 (/.f64 1 n) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))))
	37.2%	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	72.0%	(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
	4.4%	(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
	55.1%	(.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (.f64 x n)))
	46.6%	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	4.9%	(expm1.f64 (/.f64 x n))

Compiler

Compiled 440 to 309 computations (29.8% saved)

regimes266.0ms (1.1%)

Counts

69 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 1 (*.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(.f64 (/.f64 1 n) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) n)
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2) n)
(/.f64 (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n -1/2)) (sqrt.f64 n))
(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
(/.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x n) -1/2)) (sqrt.f64 (*.f64 x n)))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 1 n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) (pow.f64 x (/.f64 1 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 3))) (pow.f64 x (/.f64 1 n)))
(.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (.f64 x n)))
(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 n))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) (.f64 x n))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (+.f64 (/.f64 (.f64 2 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(+.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n))))))) (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))))
(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (.f64 (pow.f64 n -2) -1/2)))) (.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 n -2) 11/24 (/.f64 1/24 (pow.f64 n 4))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 x 4)) (pow.f64 x (/.f64 1 n))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))

Calls

4 calls:

89.0ms	n
80.0ms	(/.f64 1 n)
57.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Accuracy	Segments	Branch
97.9%	2	`x`
97.0%	3	`n`
82.1%	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
97.4%	3	`(/.f64 1 n)`

Compiler

Compiled 1188 to 658 computations (44.6% saved)

bsearch53.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	0.020262066293587722	3988.186924272148

Results

18.0ms	46×	body	1024	valid
13.0ms	48×	body	512	valid
7.0ms	37×	body	256	infinite
6.0ms	42×	body	256	valid
5.0ms	8×	body	2048	valid
1.0ms	5×	body	256	unsamplable

Compiler

Compiled 227 to 168 computations (26% saved)

regimes112.0ms (0.5%)

Counts

26 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))

Outputs
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Calls

3 calls:

44.0ms	n
38.0ms	(/.f64 1 n)
23.0ms	x

Results

Accuracy	Segments	Branch
89.9%	2	`x`
97.0%	4	`n`
97.0%	3	`(/.f64 1 n)`

Compiler

Compiled 246 to 138 computations (43.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3342156557698226e-7	1.1466672455456957e-6
0.0ms	-5.153048659592238e-7	-9.615308523150636e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes96.0ms (0.4%)

Counts

22 → 4

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

3 calls:

40.0ms	n
30.0ms	(/.f64 1 n)
21.0ms	x

Results

Accuracy	Segments	Branch
89.9%	2	`x`
96.7%	4	`n`
96.7%	3	`(/.f64 1 n)`

Compiler

Compiled 173 to 102 computations (41% saved)

bsearch442.0ms (1.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	872092.5829917665	2999206.1199446153
382.0ms	-2.2273358524193993e-302	3.794887634433823e-245
36.0ms	-104000823.02011576	-1940598.7912389135

Results

186.0ms	199×	body	1024	infinite
86.0ms	478×	body	256	unsamplable
44.0ms	89×	body	512	infinite
42.0ms	69×	body	1024	valid
31.0ms	24×	body	2048	valid
21.0ms	99×	body	256	infinite
21.0ms	113×	body	256	valid
5.0ms	18×	body	512	valid

Compiler

Compiled 324 to 245 computations (24.4% saved)

regimes91.0ms (0.4%)

Counts

21 → 4

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

3 calls:

37.0ms	n
30.0ms	(/.f64 1 n)
19.0ms	x

Results

Accuracy	Segments	Branch
89.5%	2	`x`
96.7%	4	`n`
96.7%	3	`(/.f64 1 n)`

Compiler

Compiled 162 to 95 computations (41.4% saved)

bsearch370.0ms (1.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	872092.5829917665	2999206.1199446153
307.0ms	-2.2273358524193993e-302	3.794887634433823e-245
37.0ms	-104000823.02011576	-1940598.7912389135

Results

138.0ms	146×	body	1024	infinite
76.0ms	419×	body	256	unsamplable
39.0ms	68×	body	1024	valid
35.0ms	29×	body	2048	valid
33.0ms	70×	body	512	infinite
19.0ms	99×	body	256	valid
18.0ms	79×	body	256	infinite
8.0ms	28×	body	512	valid

Compiler

Compiled 306 to 227 computations (25.8% saved)

regimes215.0ms (0.9%)

Counts

19 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)

Outputs
(-.f64 1 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))

Calls

3 calls:

81.0ms	n
73.0ms	x
56.0ms	(/.f64 1 n)

Results

Accuracy	Segments	Branch
78.5%	2	`x`
96.0%	4	`n`
96.0%	3	`(/.f64 1 n)`

Compiler

Compiled 143 to 84 computations (41.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3342156557698226e-7	1.1466672455456957e-6
0.0ms	-1856537.1936373548	-0.014865445706650956

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes106.0ms (0.5%)

Counts

17 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 1 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

3 calls:

57.0ms	n
27.0ms	x
16.0ms	(/.f64 1 n)

Results

Accuracy	Segments	Branch
78.5%	2	`x`
88.1%	3	`n`
88.1%	2	`(/.f64 1 n)`

Compiler

Compiled 128 to 74 computations (42.2% saved)

bsearch517.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
447.0ms	-2.2273358524193993e-302	3.794887634433823e-245
70.0ms	-67.27009870633005	-5.386372023286996e-7

Results

197.0ms	172×	body	1024	infinite
117.0ms	395×	body	256	unsamplable
72.0ms	85×	body	512	infinite
45.0ms	93×	body	256	valid
36.0ms	50×	body	1024	valid
24.0ms	16×	body	2048	valid
17.0ms	89×	body	256	infinite
5.0ms	17×	body	512	valid

Compiler

Compiled 185 to 158 computations (14.6% saved)

regimes248.0ms (1.1%)

Counts

14 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 1 1)

Calls

3 calls:

85.0ms	n
68.0ms	(/.f64 1 n)
65.0ms	x

Results

Accuracy	Segments	Branch
77.7%	3	`x`
60.4%	7	`n`
63.2%	8	`(/.f64 1 n)`

Compiler

Compiled 109 to 65 computations (40.4% saved)

bsearch262.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
213.0ms	6.285902310152835e+149	7.878674787702884e+152
49.0ms	0.020262066293587722	3988.186924272148

Results

119.0ms	59×	body	2048	valid
109.0ms	102×	body	1024	valid
12.0ms	72×	body	256	valid
9.0ms	39×	body	512	valid
6.0ms	33×	body	256	infinite
3.0ms	17×	body	256	unsamplable

Compiler

Compiled 378 to 287 computations (24.1% saved)

regimes99.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(.f64 (+.f64 (.f64 (/.f64 x n) 1/2) 1) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(expm1.f64 (/.f64 x n))

Outputs
(/.f64 (/.f64 1 n) x)
(-.f64 1 1)
(/.f64 (/.f64 1 x) n)

Calls

3 calls:

65.0ms	n
19.0ms	(/.f64 1 n)
13.0ms	x

Results

Accuracy	Segments	Branch
44.3%	2	`x`
54.0%	3	`n`
53.9%	2	`(/.f64 1 n)`

Compiler

Compiled 98 to 59 computations (39.8% saved)

bsearch160.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
95.0ms	2.2278597739919676e-61	2.622361546957283e-58
65.0ms	-67.27009870633005	-5.386372023286996e-7

Results

41.0ms	32×	body	1024	valid
39.0ms	221×	body	256	valid
30.0ms	178×	body	256	unsamplable
28.0ms	35×	body	256	infinite
5.0ms	19×	body	512	valid

Compiler

Compiled 258 to 219 computations (15.1% saved)

regimes64.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)

Outputs
(/.f64 (/.f64 1 n) x)
(-.f64 1 1)
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

41.0ms	(/.f64 1 n)
12.0ms	x
10.0ms	n

Results

Accuracy	Segments	Branch
44.3%	2	`x`
54.0%	3	`n`
53.9%	2	`(/.f64 1 n)`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch137.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
94.0ms	2.2278597739919676e-61	2.622361546957283e-58
43.0ms	-67.27009870633005	-5.386372023286996e-7

Results

67.0ms	207×	body	256	valid
34.0ms	200×	body	256	unsamplable
18.0ms	39×	body	1024	valid
8.0ms	26×	body	512	valid
7.0ms	35×	body	256	infinite

Compiler

Compiled 258 to 219 computations (15.1% saved)

regimes65.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 x n))

Outputs
(/.f64 1 (*.f64 x n))
(-.f64 1 1)
(/.f64 1 (*.f64 x n))

Calls

2 calls:

58.0ms	n
6.0ms	x

Results

Accuracy	Segments	Branch
44.1%	2	`x`
53.4%	3	`n`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch178.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
132.0ms	2.2278597739919676e-61	2.622361546957283e-58
47.0ms	-67.27009870633005	-5.386372023286996e-7

Results

86.0ms	195×	body	256	unsamplable
51.0ms	213×	body	256	valid
18.0ms	39×	body	1024	valid
10.0ms	49×	body	256	infinite
5.0ms	19×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 258 to 219 computations (15.1% saved)

regimes16.0ms (0.1%)

Accuracy

Total -21.6b remaining (-53.9%)

Threshold costs -21.6b (-53.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)

Outputs
(-.f64 1 1)

Calls

2 calls:

12.0ms	n
3.0ms	x

Results

Accuracy	Segments	Branch
37.5%	1	`x`
37.5%	1	`n`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
18×	`sub-neg`
16×	`*-commutative`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	683
1	119	683
2	134	683
3	144	683
4	149	683
5	150	683

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 2476979795053773/4503599627370496) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(if (<=.f64 (/.f64 1 n) -4722366482869645/9444732965739290427392) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (if (<=.f64 (/.f64 1 n) 4722366482869645/9444732965739290427392) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -85000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (if (<=.f64 n 2600000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -102000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 1950000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -1000000) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) 4722366482869645/9444732965739290427392) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -5967269506265907/562949953421312) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (-.f64 1 1) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 780000000000000022120539953577103598662547813231879910646817946973419161874869452934116343303946588166651193409559127842530887137917629689886714401652736) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) (-.f64 1 1)))
(if (<=.f64 n -5967269506265907/562949953421312) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 497544133441593/226156424291633194186662080095093570025917938800079226639565593765455331328) (-.f64 1 1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -5404319552844595/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 1696173182187249/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -23/2) (/.f64 1 (.f64 x n)) (if (<=.f64 n 1424785473037289/113078212145816597093331040047546785012958969400039613319782796882727665664) (-.f64 1 1) (/.f64 1 (.f64 x n))))
(-.f64 1 1)

Outputs
(if (<=.f64 x 2476979795053773/4503599627370496) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(if (<=.f64 x 2476979795053773/4503599627370496) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)))
(if (<=.f64 (/.f64 1 n) -4722366482869645/9444732965739290427392) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (if (<=.f64 (/.f64 1 n) 4722366482869645/9444732965739290427392) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4722366482869645/9444732965739290427392) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (if (<=.f64 (/.f64 1 n) 4722366482869645/9444732965739290427392) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -85000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (if (<=.f64 n 2600000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -85000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (if (<=.f64 n 2600000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -102000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 1950000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -1000000) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) 4722366482869645/9444732965739290427392) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -1000000) 0 (if (<=.f64 (/.f64 1 n) 4722366482869645/9444732965739290427392) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -5967269506265907/562949953421312) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (-.f64 1 1) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (or (<=.f64 n -5967269506265907/562949953421312) (not (<=.f64 n -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992))) (/.f64 (log1p.f64 (/.f64 1 x)) n) 0)
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 780000000000000022120539953577103598662547813231879910646817946973419161874869452934116343303946588166651193409559127842530887137917629689886714401652736) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) (-.f64 1 1)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 780000000000000022120539953577103598662547813231879910646817946973419161874869452934116343303946588166651193409559127842530887137917629689886714401652736) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) 0))
(if (<=.f64 n -5967269506265907/562949953421312) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 497544133441593/226156424291633194186662080095093570025917938800079226639565593765455331328) (-.f64 1 1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -5967269506265907/562949953421312) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 497544133441593/226156424291633194186662080095093570025917938800079226639565593765455331328) 0 (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -5404319552844595/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 1696173182187249/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (or (<=.f64 n -5404319552844595/1125899906842624) (not (<=.f64 n 1696173182187249/56539106072908298546665520023773392506479484700019806659891398441363832832))) (/.f64 (/.f64 1 n) x) 0)
(if (<=.f64 n -23/2) (/.f64 1 (.f64 x n)) (if (<=.f64 n 1424785473037289/113078212145816597093331040047546785012958969400039613319782796882727665664) (-.f64 1 1) (/.f64 1 (.f64 x n))))
(if (or (<=.f64 n -23/2) (not (<=.f64 n 1424785473037289/113078212145816597093331040047546785012958969400039613319782796882727665664))) (/.f64 1 (*.f64 x n)) 0)
(-.f64 1 1)
0

Compiler

Compiled 282 to 205 computations (27.3% saved)

soundness2.2s (9.3%)

Rules

1376×	`fma-neg`
1376×	`fma-neg`
1376×	`fma-neg`
1256×	`fma-neg`
1256×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	13929
1	1443	12455
2	4725	11635
0	116	1870
1	290	1750
2	900	1714
3	4249	1670
0	567	13929
1	1443	12455
2	4725	11635
0	9	25
1	190	25
2	2522	25
0	567	13929
1	1443	12455
2	4725	11635
0	749	22475
1	1759	16003
2	6228	15305
0	9	41
1	192	41
2	2720	41
0	521	6554
1	1244	6246
2	4875	5420
0	749	22475
1	1759	16003
2	6228	15305
0	749	22475
1	1759	16003
2	6228	15305
0	521	6554
1	1244	6246
2	4875	5420

Stop Event

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

Compiler

Compiled 552 to 323 computations (41.5% saved)

end188.0ms (0.8%)

Compiler: Compiled 262 to 183 computations (30.2% saved)