Details

analyze357.0ms (1.5%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
42.9%	37.5%	50%	0.1%	0%	12.5%	0%	5
46.2%	37.5%	43.7%	0.1%	0%	18.7%	0%	6
56%	43.7%	34.3%	0.1%	0%	18.7%	3.1%	7
58.3%	43.7%	31.2%	0.1%	0%	21.9%	3.1%	8
65.9%	46.8%	24.2%	0.1%	0%	21.9%	7%	9
68.2%	46.8%	21.9%	0.1%	0%	23.4%	7.8%	10
72.8%	48.4%	18%	0.1%	0%	23.4%	10%	11
73.8%	48.4%	17.2%	0.1%	0%	24.2%	10.1%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample6.2s (26.3%)

Results

1.9s	2179×	body	1024	valid
1.1s	1225×	body	1024	invalid
1.1s	1422×	body	2048	valid
386.0ms	995×	body	512	valid
383.0ms	1923×	body	256	valid
317.0ms	636×	body	512	invalid
310.0ms	1392×	body	256	infinite
270.0ms	1229×	body	256	unsamplable
171.0ms	1046×	body	256	invalid
144.0ms	151×	body	1024	infinite
86.0ms	193×	body	512	infinite
5.0ms	6×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess61.0ms (0.3%)

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

37.5%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.5%	(-.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 x (/.f64 1 n))
✓	97.4%	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	97.3%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series87.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
58.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
16.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
6.0ms	x	@	inf	(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)))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite130.0ms (0.6%)

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

simplify258.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-neg`
570×	`fma-def`
536×	`exp-prod`
476×	`sub-neg`
474×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	14257
1	1442	12455
2	4724	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)))))
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))
(+.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.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 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 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 -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 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 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)))))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
(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)))
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(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
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1
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(*.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))))

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

eval250.0ms (1.1%)

Compiler: Compiled 11532 to 7034 computations (39% saved)

prune119.0ms (0.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	335	24	359
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	336	24	360

Accurracy

79.9%

Counts

360 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(fma.f64 (sqrt.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n -1)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	36.6%	(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
	46.4%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	24.5%	(/.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))))
▶	54.9%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	23.7%	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))
	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (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)))))))
	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))))
▶	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))
	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (+.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))
	44.8%	(-.f64 (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4)))))
	17.9%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	10.3%	(-.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)))
	44.8%	(-.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)))))
▶	23.3%	(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	37.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	24.9%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	24.9%	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
▶	10.3%	(+.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))))
	48.0%	(+.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))
	39.7%	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (*.f64 x x)))
	36.4%	(+.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 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (*.f64 (pow.f64 n -2) -1/2))) (/.f64 (pow.f64 x 3) (pow.f64 x (/.f64 1 n))))))
	36.1%	(+.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)))))))
	45.5%	(+.f64 (+.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 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))

Compiler

Compiled 1546 to 1056 computations (31.7% saved)

localize10.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	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)

series66.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
31.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
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)
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite116.0ms (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	36
1	192	36
2	2720	36

Stop Event

1×	node limit

Counts

2 → 270

Calls

Call 1

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

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))))
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(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)))

simplify195.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1354×	`times-frac`
782×	`fma-neg`
544×	`associate-+l+`
538×	`associate-+r+`
472×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	669	21858
1	1579	16432
2	5420	14680

Stop Event

1×	node limit

Counts

306 → 438

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)
(+.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))
(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 (-.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 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 x))
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(+.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)))

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

localize9.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 x (/.f64 1 n))
✓	94.0%	(-.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)))

rewrite56.0ms (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)))))

simplify72.0ms (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)))

localize36.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 x (/.f64 1 n))
✓	100.0%	(fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))
✓	88.4%	(+.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))))
✓	81.5%	(fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x x) 1)

Compiler

Compiled 81 to 48 computations (40.7% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x x) 1)
1.0ms	n	@	0	(fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x x) 1)
0.0ms	x	@	inf	(fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x x) 1)
0.0ms	n	@	inf	(+.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))))
0.0ms	n	@	-inf	(fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))

rewrite240.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`log-prod`
1284×	`fma-def`
702×	`expm1-udef`
698×	`log1p-udef`
528×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	121
1	419	121
2	5453	121

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

Inputs

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

(+.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 1/2 (pow.f64 n -2) (/.f64 -1/2 n))

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

simplify160.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`cancel-sign-sub-inv`
1078×	`times-frac`
978×	`fma-neg`
448×	`sub-neg`
408×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	14485
1	1148	14065
2	3981	13957

Stop Event

1×	node limit

Counts

225 → 287

Calls

Call 1

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

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

localize65.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2))
✓	99.2%	(pow.f64 (log.f64 x) 2)
	97.4%	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	94.8%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))

Compiler

Compiled 96 to 57 computations (40.6% saved)

series6.0ms (0%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))
1.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))
1.0ms	x	@	0	(*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2))
0.0ms	n	@	0	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))

rewrite147.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`prod-diff`
740×	`expm1-udef`
458×	`add-sqr-sqrt`
446×	`pow1`
440×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	105
1	459	83
2	5886	83

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs

(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))

(pow.f64 (log.f64 x) 2)

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

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

simplify351.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

722×	`sub-neg`
630×	`fma-neg`
482×	`+-commutative`
434×	`fma-def`
408×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	20985
1	1326	16741
2	4925	13651

Stop Event

1×	node limit

Counts

209 → 278

Calls

Call 1

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

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

localize47.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(pow.f64 (/.f64 (log1p.f64 x) n) 3)
✓	97.0%	(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
✓	92.2%	(fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
✓	87.0%	(*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2))

Compiler

Compiled 133 to 71 computations (46.6% saved)

series20.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
2.0ms	x	@	0	(pow.f64 (/.f64 (log1p.f64 x) n) 3)
2.0ms	x	@	inf	(fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
1.0ms	x	@	inf	(*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2))
1.0ms	x	@	-inf	(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))

rewrite171.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`fma-def`
812×	`expm1-udef`
804×	`log1p-udef`
502×	`add-sqr-sqrt`
486×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	194
1	525	176
2	6387	176

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

Inputs
(*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2))
(fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
(pow.f64 (/.f64 (log1p.f64 x) n) 3)

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

simplify294.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1318×	`fma-def`
1174×	`associate-+r+`
838×	`associate-+l+`
776×	`times-frac`
624×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	798	31056
1	2381	29364

Stop Event

1×	node limit

Counts

284 → 430

Calls

Call 1

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

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

eval1.5s (6.4%)

Compiler: Compiled 71251 to 38670 computations (45.7% saved)

prune599.0ms (2.6%)

Pruning

55 alts after pruning (54 fresh and 1 done)

	Pruned	Kept	Total
New	1633	49	1682
Fresh	14	5	19
Picked	1	0	1
Done	3	1	4
Total	1651	55	1706

Accurracy

80.5%

Counts

1706 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	36.6%	(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
	54.4%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	12.0%	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) 3)
	54.4%	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
	54.5%	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	46.4%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	22.6%	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	34.4%	(/.f64 (/.f64 1 x) n)
	32.6%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	33.1%	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
	33.1%	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	28.0%	(/.f64 (-.f64 x (log.f64 x)) n)
	32.5%	(/.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)
	54.9%	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	28.0%	(/.f64 (neg.f64 (log.f64 x)) n)
	29.5%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) (+.f64 1 (-.f64 x 1)))) n)
▶	54.9%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	54.5%	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	54.5%	(/.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) n)
	54.4%	(/.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)) n)
	54.5%	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	54.7%	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
▶	34.0%	(/.f64 1 (*.f64 x n))
	27.4%	(-.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))
	27.1%	(-.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))
	27.1%	(-.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))
	27.4%	(-.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))
	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3) (/.f64 (log.f64 x) n))))
▶	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.f64 (log.f64 x) n))))
	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (log.f64 x) n))))
	32.3%	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	10.3%	(-.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)))
	32.8%	(-.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)))))
	17.8%	(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	24.5%	(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3))) (pow.f64 x (/.f64 1 n)))
	27.2%	(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
	37.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	24.9%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	39.7%	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (*.f64 x x)))
	15.9%	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
	26.6%	(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 -1/2 (/.f64 (.f64 x x) n)))) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)))))
	32.8%	(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (.f64 x (.f64 x n)))))
	2.6%	(+.f64 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n))
	2.7%	(+.f64 (*.f64 1/2 (pow.f64 (/.f64 x n) 2)) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
	30.5%	(+.f64 (*.f64 0 (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)) 3)) (-.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)) 3)))
	17.9%	(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
	54.4%	(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
	15.1%	(.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)
	54.4%	(*.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)))
	54.8%	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	14.9%	(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
▶	34.4%	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
▶	54.2%	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	39.5%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))

Compiler

Compiled 1985 to 1343 computations (32.3% saved)

localize12.0ms (0%)

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)
✓	96.5%	(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
14.0ms	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	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms	x	@	-inf	(/.f64 (+.f64 x 1) x)

rewrite113.0ms (0.5%)

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)))

simplify130.0ms (0.6%)

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

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

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(/.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	n	@	0	(/.f64 1 (*.f64 x n))
0.0ms	x	@	0	(/.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	n	@	inf	(/.f64 1 (*.f64 x n))

rewrite53.0ms (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)

localize8.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(expm1.f64 (/.f64 (log.f64 x) n))
✓	99.6%	(/.f64 (log.f64 x) n)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`pow1`
1422×	`add-exp-log`
1422×	`log1p-expm1-u`
1420×	`expm1-log1p-u`
1386×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	155	26
2	1929	26

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 (log.f64 x) n)
(expm1.f64 (/.f64 (log.f64 x) n))

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1300×	`log-prod`
1178×	`fma-neg`
1068×	`fma-def`
842×	`unswap-sqr`
726×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1934
1	359	1592
2	1233	1568
3	7000	1564

Stop Event

1×	node limit

Counts

80 → 78

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	98.6%	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	96.4%	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
0.0ms	n	@	0	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
0.0ms	n	@	-inf	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))

rewrite138.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`prod-diff`
1084×	`log-prod`
660×	`pow-prod-down`
526×	`pow-prod-up`
516×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	214	21
2	2928	21

Stop Event

1×	node limit

Counts

1 → 204

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))

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

simplify215.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

930×	`unswap-sqr`
794×	`fma-neg`
502×	`+-commutative`
474×	`associate-+l+`
470×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	15778
1	1399	12508
2	4995	8878

Stop Event

1×	node limit

Counts

228 → 300

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

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

localize33.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 n (log.f64 x))
✓	99.1%	(/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x))))
	97.4%	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	94.8%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.f64 (log.f64 x) n))))

Compiler

Compiled 112 to 41 computations (63.4% saved)

series6.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.f64 (log.f64 x) n))))
1.0ms	x	@	-inf	(/.f64 n (log.f64 x))
1.0ms	x	@	inf	(/.f64 n (log.f64 x))
0.0ms	x	@	0	(/.f64 n (log.f64 x))
0.0ms	n	@	-inf	(/.f64 n (log.f64 x))

rewrite141.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1930×	`prod-diff`
434×	`add-sqr-sqrt`
424×	`pow1`
422×	`*-un-lft-identity`
404×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	105
1	424	83
2	5942	83

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs

(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.f64 (log.f64 x) n))))

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

(/.f64 n (log.f64 x))

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

simplify279.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg`
692×	`sub-neg`
504×	`log-prod`
466×	`+-commutative`
434×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	579	25728
1	1560	20614
2	5483	20386

Stop Event

1×	node limit

Counts

246 → 344

Calls

Call 1

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

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

eval909.0ms (3.9%)

Compiler: Compiled 52251 to 22821 computations (56.3% saved)

prune580.0ms (2.5%)

Pruning

71 alts after pruning (67 fresh and 4 done)

	Pruned	Kept	Total
New	1581	37	1618
Fresh	19	30	49
Picked	1	0	1
Done	1	4	5
Total	1602	71	1673

Accurracy

80.6%

Counts

1673 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.8%	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
	36.6%	(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
	54.4%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	12.0%	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) 3)
	54.4%	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
	54.5%	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	46.4%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	54.4%	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
	58.4%	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	34.4%	(/.f64 (/.f64 1 x) n)
▶	34.4%	(/.f64 (/.f64 1 n) x)
	32.6%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	33.1%	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
	33.1%	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	54.5%	(/.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) n)
	54.4%	(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 n))
▶	29.6%	(/.f64 (*.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n -1/2)) (sqrt.f64 n))
	54.9%	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	54.8%	(/.f64 (.f64 1/3 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	28.0%	(/.f64 (neg.f64 (log.f64 x)) n)
▶	59.1%	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	54.6%	(/.f64 (log.f64 (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)))))) n)
	29.5%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) (+.f64 1 (-.f64 x 1)))) n)
✓	54.9%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	29.7%	(/.f64 (log.f64 1) n)
	54.5%	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	54.5%	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	54.7%	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
	54.8%	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
✓	34.0%	(/.f64 1 (*.f64 x n))
	27.4%	(-.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))
	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3) (/.f64 (log.f64 x) n))))
	18.2%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (fabs.f64 (/.f64 n (log.f64 x))))) (/.f64 (log.f64 x) n))))
	11.1%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 n (log.f64 x)))) -1)) (/.f64 (log.f64 x) n))))
	32.6%	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
	30.5%	(-.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)) 3))
	32.3%	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
▶	10.3%	(-.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)))
	32.8%	(-.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)))))
	17.8%	(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	24.6%	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	24.5%	(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3))) (pow.f64 x (/.f64 1 n)))
	27.2%	(-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))
	37.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	24.9%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	17.8%	(-.f64 1 (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.f64 (log.f64 x) n))))
▶	39.7%	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (*.f64 x x)))
	32.8%	(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 1/2 n) (.f64 x x))))
	32.8%	(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 1/2 n) (*.f64 x x))))
	2.6%	(+.f64 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n))
	2.7%	(+.f64 (*.f64 1/2 (pow.f64 (/.f64 x n) 2)) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
	17.9%	(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
	33.8%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
	14.9%	(*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)
	58.4%	(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))
	15.1%	(.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)
	34.3%	(*.f64 (/.f64 1 x) (/.f64 1 n))
	54.8%	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	27.4%	(neg.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (*.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)))
	14.7%	(neg.f64 (pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2))
	27.1%	(neg.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))
	27.1%	(neg.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) 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))))))
	34.4%	(neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))
	33.9%	(neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))
✓	34.4%	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	34.4%	(neg.f64 (expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x))))
	32.7%	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)))
	27.3%	(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
	21.6%	(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (neg.f64 (log.f64 n))))
	39.5%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))
	17.1%	(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))

Compiler

Compiled 2246 to 1585 computations (29.4% saved)

localize58.0ms (0.2%)

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)

series21.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	n	@	0	(/.f64 (log1p.f64 (/.f64 1 x)) n)
7.0ms	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	@	0	(/.f64 (log1p.f64 (/.f64 1 x)) n)

rewrite57.0ms (0.2%)

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))))

simplify50.0ms (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))))
(-.f64 (+.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 1/4 (*.f64 n (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n) (/.f64 (/.f64 1/2 n) (*.f64 x x)))))
(/.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))))
(-.f64 (+.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 1/4 (*.f64 n (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n) (/.f64 (/.f64 1/2 n) (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.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))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 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) (fma.f64 -1/2 (*.f64 x x) (-.f64 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)
(pow.f64 x -1)
(-.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 (/.f64 1/2 x) x))
(+.f64 (pow.f64 x -1) (/.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 (pow.f64 x -1) (+.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 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.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 (pow.f64 x -1) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1/4 (pow.f64 x 4))))
(/.f64 1 x)
(pow.f64 x -1)
(-.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 (/.f64 1/2 x) x))
(+.f64 (pow.f64 x -1) (/.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 (pow.f64 x -1) (+.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 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.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 (pow.f64 x -1) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.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 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) 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 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 2)))
(*.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 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.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 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(.f64 (/.f64 1 (cbrt.f64 (.f64 n n))) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 n n))) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)))
(/.f64 (log1p.f64 (pow.f64 x -1)) (.f64 (cbrt.f64 (.f64 n n)) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log1p.f64 (pow.f64 x -1)) (*.f64 (sqrt.f64 n) (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 (log1p.f64 (/.f64 1 x)) n)
(/.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 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (.f64 n n))))
(.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (.f64 n 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 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log1p.f64 (pow.f64 x -1)) (*.f64 (sqrt.f64 n) (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 (log1p.f64 (/.f64 1 x)) n)
(/.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)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 n n))) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)))
(/.f64 (log1p.f64 (pow.f64 x -1)) (.f64 (cbrt.f64 (.f64 n n)) (cbrt.f64 n)))
(pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) (pow.f64 n 3)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(-.f64 (+.f64 1 (log1p.f64 (pow.f64 x -1))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (pow.f64 x -1))
(*.f64 1 (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))
(*.f64 (log1p.f64 (pow.f64 x -1)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (pow.f64 x -1))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.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))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.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))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.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))
(pow.f64 (log1p.f64 (pow.f64 x -1)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (pow.f64 x -1))
(pow.f64 (cbrt.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))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (pow.f64 x -1))
(pow.f64 (sqrt.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))
(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
✓	99.7%	(/.f64 (/.f64 1 n) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`pow1`
1316×	`add-exp-log`
1316×	`log1p-expm1-u`
1316×	`expm1-log1p-u`
1284×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1868	13

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1428×	`fma-neg`
1004×	`associate-r`
940×	`associate-l`
746×	`unswap-sqr`
516×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	816
1	222	798
2	697	780
3	4644	780
4	7802	780

Stop Event

1×	node limit

Counts

54 → 35

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

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

localize33.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 1/2 (*.f64 n n))
✓	94.3%	(-.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)))
✓	94.1%	(+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
✓	77.6%	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))

Compiler

Compiled 102 to 51 computations (50% saved)

series6.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
1.0ms	n	@	0	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
0.0ms	x	@	inf	(+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
0.0ms	x	@	inf	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
0.0ms	x	@	inf	(-.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)))

rewrite146.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`fma-neg`
748×	`expm1-udef`
744×	`log1p-udef`
448×	`add-sqr-sqrt`
436×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	178
1	428	152
2	6689	152

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

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

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

simplify230.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1448×	`unswap-sqr`
668×	`sub-neg`
616×	`fma-def`
386×	`div-sub`
360×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	14538
1	1266	13670
2	4929	13608

Stop Event

1×	node limit

Counts

232 → 295

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
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 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 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))
(+.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 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 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))
(+.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 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 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (/.f64 x n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
1
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
1
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) n)) 1)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) n)) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) n)) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(-.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 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 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
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(+.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.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 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.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 (.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))
(+.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))) (+.f64 1 (/.f64 x n)))
(.f64 1 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))
(.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 1)
(.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(.f64 (sqrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))))
(.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 (.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 x (/.f64 1/2 n))) (-.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 x (/.f64 1/2 n))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 (*.f64 x x) (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (.f64 (/.f64 1 n) 3))) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 (.f64 x x) (/.f64 1 n))) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (.f64 (/.f64 1 n) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 (.f64 x x) (/.f64 1 n)))) (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (-.f64 (.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n)))) (.f64 (+.f64 1 (/.f64 x n)) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (-.f64 (.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))))) (-.f64 (+.f64 1 (/.f64 x n)) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 2) (.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))) (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (log1p.f64 (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (.f64 (log1p.f64 (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(fma.f64 1 (+.f64 1 (/.f64 x n)) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))))
(fma.f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x n))) 2) (cbrt.f64 (+.f64 1 (/.f64 x n))) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x n))) (hypot.f64 1 (sqrt.f64 (/.f64 x n))) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (neg.f64 (+.f64 1 (/.f64 x n))))))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (/.f64 1 (-.f64 (+.f64 1 (/.f64 x n)) (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1)
(*.f64 1/2 (pow.f64 n -2))
(.f64 (.f64 1/2 (pow.f64 n -2)) 1)
(*.f64 (/.f64 1/2 n) (/.f64 1 n))
(.f64 1 (.f64 1/2 (pow.f64 n -2)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (.f64 1/2 (pow.f64 n -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 n)))
(.f64 -1/2 (/.f64 1 (.f64 n (neg.f64 n))))
(*.f64 (pow.f64 n -2) 1/2)
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n)))
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 n -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 n -2))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 n -2))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n)))
(pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)
(pow.f64 (.f64 (.f64 n n) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 n -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))

Outputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(/.f64 (.f64 1/2 (.f64 x x)) (*.f64 n n))
(.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 (.f64 x x) (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n) (.f64 x (*.f64 x (/.f64 -1/2 n))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 (.f64 x x) (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n) (.f64 x (*.f64 x (/.f64 -1/2 n))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 (.f64 x x) (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n) (.f64 x (*.f64 x (/.f64 -1/2 n))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n))
(.f64 (.f64 x x) (/.f64 -1/2 n))
(.f64 x (.f64 x (/.f64 -1/2 n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 (.f64 x x) (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n) (.f64 x (*.f64 x (/.f64 -1/2 n))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 (.f64 x x) (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n) (.f64 x (*.f64 x (/.f64 -1/2 n))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 (.f64 x x) (/.f64 -1/2 n)))
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(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (/.f64 1 (-.f64 (+.f64 1 (/.f64 x n)) (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) 2) (pow.f64 x 4))) (/.f64 1 (-.f64 (+.f64 1 (/.f64 x n)) (/.f64 (.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 x x)) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) 2) (pow.f64 x 4))) (+.f64 (/.f64 x n) (-.f64 1 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) 2) (pow.f64 x 4) (neg.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2))) (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 -1 (/.f64 x n)))) (pow.f64 x (/.f64 1 n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 1/2 (pow.f64 n -2))
(/.f64 1/2 (*.f64 n n))
(.f64 (.f64 1/2 (pow.f64 n -2)) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 1/2 n) (/.f64 1 n))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(.f64 1 (.f64 1/2 (pow.f64 n -2)))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (.f64 1/2 (pow.f64 n -2))))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 n)))
(/.f64 (*.f64 (pow.f64 n -1/2) (/.f64 1/2 n)) (sqrt.f64 n))
(.f64 (pow.f64 n -1/2) (/.f64 1/2 (.f64 n (sqrt.f64 n))))
(.f64 -1/2 (/.f64 1 (.f64 n (neg.f64 n))))
(/.f64 -1/2 (*.f64 n (neg.f64 n)))
(*.f64 (pow.f64 n -2) 1/2)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n)))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (.f64 (cbrt.f64 n) n)))
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n)))
(/.f64 (/.f64 1/2 (*.f64 n (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n)))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (.f64 (cbrt.f64 n) n)))
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 n -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(.f64 (cbrt.f64 (.f64 (pow.f64 n -2) 1/4)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 n -2))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 n -2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 n -2) 1/4)) (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 n -2))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 n -2) 1/4)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n)))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (.f64 (cbrt.f64 n) n)))
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)))
(cbrt.f64 (/.f64 1/8 (pow.f64 n 6)))
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(pow.f64 (.f64 (.f64 n n) 2) -1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)))
(cbrt.f64 (/.f64 1/8 (pow.f64 n 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 n -2))) 1))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))

localize20.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 37 to 25 computations (32.4% saved)

series26.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	n	@	inf	(pow.f64 n -1/2)
7.0ms	n	@	-inf	(pow.f64 n -1/2)
6.0ms	n	@	0	(pow.f64 n -1/2)
2.0ms	n	@	-inf	(*.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n -1/2))
1.0ms	n	@	0	(*.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n -1/2))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`log-prod`
722×	`pow-prod-down`
620×	`pow-prod-up`
602×	`pow-exp`
444×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	269	47
2	3298	47

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

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

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1778×	`times-frac`
1148×	`unswap-sqr`
798×	`distribute-lft-in`
368×	`associate-r`
336×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	4232
1	829	3892
2	2973	3824

Stop Event

1×	node limit

Counts

158 → 195

Calls

Call 1

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

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

localize41.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (*.f64 x x)))
✓	93.4%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
✓	86.9%	(*.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n)))
✓	86.4%	(/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (.f64 x x))

Compiler

Compiled 105 to 64 computations (39% saved)

series58.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
6.0ms	x	@	-inf	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
2.0ms	n	@	inf	(/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (.f64 x x))
1.0ms	x	@	0	(/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (.f64 x x))
1.0ms	n	@	inf	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (*.f64 x x)))

rewrite132.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`fma-def`
758×	`expm1-udef`
754×	`log1p-udef`
446×	`add-sqr-sqrt`
430×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	196
1	446	184
2	6441	184

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

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

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

simplify244.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1002×	`associate-/r*`
904×	`fma-neg`
782×	`associate-r`
778×	`fma-def`
686×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	717	24939
1	2027	24437
2	7973	24437

Stop Event

1×	node limit

Counts

321 → 450

Calls

Call 1

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

Outputs
(.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 n 2) (pow.f64 x 2))))
(.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 n n) (.f64 x x))))
(.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (.f64 x x)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 x x))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 n n) (.f64 x x)))))
(fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 -1/2 n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 x x))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 n n) (.f64 x x)))))
(fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 -1/2 n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 x x))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 n n) (.f64 x x)))))
(fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 -1/2 n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 -1/2 (.f64 n (.f64 x x)))
(/.f64 (/.f64 -1/2 n) (*.f64 x x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 1/2 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x)))) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 (/.f64 -1/2 n) (.f64 x x)) (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (.f64 n n)) (/.f64 (/.f64 1/2 (.f64 x x)) (*.f64 n n))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (pow.f64 x 2))))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x)))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (.f64 x x))) (.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (.f64 x x)))))) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (pow.f64 n 3)) (.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)))) (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (.f64 n n)) (/.f64 (/.f64 1/2 (.f64 x x)) (.f64 n n)))) (/.f64 (/.f64 -1/2 n) (.f64 x x)))
(fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (.f64 n n)) (+.f64 (+.f64 (/.f64 (/.f64 1/2 (.f64 x x)) (.f64 n n)) (.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)))) (fma.f64 (/.f64 1/2 (pow.f64 n 3)) (/.f64 (log.f64 x) (.f64 x x)) (/.f64 (/.f64 -1/2 n) (.f64 x x)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 4) (pow.f64 x 2))))))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x)))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (.f64 x x))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) (.f64 x x))) (fma.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (.f64 x x))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 4) (.f64 x x)))))))) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (.f64 x x))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (.f64 x (pow.f64 n 4)))) (fma.f64 1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (pow.f64 n 3)) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x (.f64 x (pow.f64 n 4)))))))) (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (.f64 n n)) (/.f64 (/.f64 1/2 (.f64 x x)) (.f64 n n)))) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 (/.f64 1/2 (.f64 x x)) (.f64 n n)) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (.f64 x x))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (.f64 x (pow.f64 n 4)))) (fma.f64 1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (pow.f64 n 3)) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x (.f64 x (pow.f64 n 4))))))))) (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (.f64 n n)) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
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(fma.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (-.f64 2 (/.f64 1 n)))))
(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (-.f64 2 (/.f64 1 n)))) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (+.f64 2 (/.f64 -1 n)))) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (.f64 n x)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (.f64 n x))) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (-.f64 2 (/.f64 1 n)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (.f64 x n))) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (-.f64 2 (/.f64 1 n)))))
(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (+.f64 2 (/.f64 -1 n)))) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (.f64 x n))) (pow.f64 (cbrt.f64 (.f64 x n)) 2)))

eval862.0ms (3.7%)

Compiler: Compiled 34812 to 21051 computations (39.5% saved)

prune298.0ms (1.3%)

Pruning

73 alts after pruning (67 fresh and 6 done)

	Pruned	Kept	Total
New	1115	22	1137
Fresh	17	45	62
Picked	1	0	1
Done	2	6	8
Total	1135	73	1208

Accurracy

80.6%

Counts

1208 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
	33.8%	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
	36.6%	(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
	58.3%	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)
	33.7%	(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 n x))) 3)
	12.0%	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) 3)
	46.4%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	54.4%	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
	29.6%	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
	58.4%	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	34.4%	(/.f64 (/.f64 1 x) n)
✓	34.4%	(/.f64 (/.f64 1 n) x)
	32.6%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	33.1%	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	33.1%	(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) n)
	54.4%	(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 n))
	54.9%	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	54.8%	(/.f64 (.f64 1/3 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	28.0%	(/.f64 (neg.f64 (log.f64 x)) n)
✓	59.1%	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	54.6%	(/.f64 (log.f64 (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)))))) n)
	29.5%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) (+.f64 1 (-.f64 x 1)))) n)
✓	54.9%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	29.7%	(/.f64 (log.f64 1) n)
	58.7%	(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) n)
	57.4%	(/.f64 (exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1)))) n)
	60.0%	(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3)) n)
	31.2%	(/.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 x (cbrt.f64 n)))
✓	34.0%	(/.f64 1 (*.f64 x n))
	27.4%	(-.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))
	17.9%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3) (/.f64 (log.f64 x) n))))
	18.2%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (fabs.f64 (/.f64 n (log.f64 x))))) (/.f64 (log.f64 x) n))))
	11.1%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 n (log.f64 x)))) -1)) (/.f64 (log.f64 x) n))))
	32.6%	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
	10.2%	(-.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n))) (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n))))) (pow.f64 x (/.f64 1 n)))
	30.5%	(-.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)) 3))
	32.3%	(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
	13.0%	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n))) (pow.f64 x (/.f64 1 n)))
	32.8%	(-.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)))))
	17.8%	(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	24.6%	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	24.5%	(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3))) (pow.f64 x (/.f64 1 n)))
	27.2%	(-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))
	37.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	24.9%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	17.8%	(-.f64 1 (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.f64 (log.f64 x) n))))
	41.0%	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (/.f64 -1/2 n) (.f64 x x)))
	32.8%	(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 1/2 n) (.f64 x x))))
	39.7%	(+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (.f64 n x))) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (.f64 x x)))
	2.6%	(+.f64 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n))
	17.9%	(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
	33.8%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
	14.9%	(*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)
	40.0%	(.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (.f64 x x)) (/.f64 (/.f64 1 x) n)))
	29.6%	(*.f64 (pow.f64 n -3/4) (/.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n 1/4)))
	28.2%	(*.f64 (pow.f64 n -5/6) (/.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n 1/6)))
	15.1%	(.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)
	34.1%	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x)))
	34.3%	(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x)))
	34.3%	(*.f64 (/.f64 1 x) (/.f64 1 n))
	59.0%	(*.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n))
	27.4%	(neg.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (*.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)))
	14.7%	(neg.f64 (pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2))
	27.1%	(neg.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))
	27.1%	(neg.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) 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))))))
	34.4%	(neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))
	33.9%	(neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))
✓	34.4%	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	32.7%	(expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)))
	27.3%	(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
	21.6%	(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (neg.f64 (log.f64 n))))
	32.1%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) 3))
	17.1%	(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))

Compiler

Compiled 1225 to 860 computations (29.8% saved)

regimes1.1s (4.6%)

Counts

133 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.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 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(+.f64 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) (+.f64 1 (-.f64 x 1)))) n)
(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (/.f64 -1/2 n) (.f64 x x)))
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.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 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 1/2 n) (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 1/2 n) (.f64 x x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (/.f64 (/.f64 (.f64 x x) 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)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(neg.f64 (expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x))))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
(*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 n x))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x)))
(/.f64 (.f64 1/3 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 x n) 2)) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) 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 (+.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 (pow.f64 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n))) (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n))))) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))
(/.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 x (cbrt.f64 n)))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (/.f64 (log1p.f64 (/.f64 1 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 (pow.f64 n -5/6) (/.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n 1/6)))
(*.f64 (pow.f64 n -3/4) (/.f64 (log1p.f64 (/.f64 1 x)) (pow.f64 n 1/4)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x)))
(-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3))) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)))
(.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (.f64 x x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1)))) n)
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(neg.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3)) n)
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) 3))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) n)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(-.f64 1 (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.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 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))))
(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (.f64 n x))) (/.f64 (.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (pow.f64 x (/.f64 1 n))) (.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))
(/.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)) n)
(/.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) n)
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (neg.f64 (log.f64 n))))
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(-.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)) 3))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(neg.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (*.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 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 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x)))) (/.f64 (log.f64 x) n))))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
(-.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 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 n (log.f64 x)))) -1)) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (fabs.f64 (/.f64 n (log.f64 x))))) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (fma.f64 1/2 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3) (/.f64 (log.f64 x) n))))
(-.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 (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))
(neg.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 1 (+.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (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 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 -1/2 (/.f64 (.f64 x x) n)))) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (.f64 1/2 (pow.f64 (log.f64 x) 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 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (*.f64 (pow.f64 n -2) -1/2))) (/.f64 (pow.f64 x 3) (pow.f64 x (/.f64 1 n))))))
(fma.f64 (sqrt.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n -1)))) (exp.f64 (/.f64 (log1p.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 n))
(+.f64 (*.f64 0 (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)) 3)) (-.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)) 3)))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 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))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) 3)
(neg.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) 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 (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 (+.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 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 (log.f64 (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)))))) n)
(+.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 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)))))
(-.f64 (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4)))))

Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))

Calls

4 calls:

368.0ms	(/.f64 1 n)
323.0ms	n
214.0ms	x
28.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Accuracy	Segments	Branch
77.3%	2	`x`
77.3%	3	`n`
66.2%	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
77.6%	3	`(/.f64 1 n)`

Compiler

Compiled 2419 to 1321 computations (45.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.385204356379645e-12	4.3630156127339727e-11
0.0ms	-2.3874927886733216e-7	-1.379742600897264e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes262.0ms (1.1%)

Counts

54 → 3

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Calls

4 calls:

89.0ms	(/.f64 1 n)
67.0ms	n
48.0ms	x
8.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Accuracy	Segments	Branch
77.3%	2	`x`
77.2%	3	`n`
65.4%	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
77.6%	3	`(/.f64 1 n)`

Compiler

Compiled 713 to 418 computations (41.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.385204356379645e-12	4.3630156127339727e-11
0.0ms	-2.3874927886733216e-7	-1.379742600897264e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes133.0ms (0.6%)

Counts

32 → 4

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n))) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

3 calls:

54.0ms	n
42.0ms	(/.f64 1 n)
27.0ms	x

Results

Accuracy	Segments	Branch
71.7%	2	`x`
77.5%	4	`n`
77.4%	3	`(/.f64 1 n)`

Compiler

Compiled 388 to 224 computations (42.3% saved)

bsearch181.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	22919927150.41823	721915142263.6217
114.0ms	2.2000043497059473e-201	1.4772938459102182e-194
37.0ms	-4188494.3265343993	-12102.589794914236

Results

73.0ms	110×	body	1024	valid
27.0ms	153×	body	256	valid
21.0ms	21×	body	1024	infinite
19.0ms	116×	body	256	unsamplable
18.0ms	39×	body	512	infinite
7.0ms	34×	body	256	infinite
6.0ms	23×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 726 to 512 computations (29.5% saved)

regimes124.0ms (0.5%)

Counts

29 → 4

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	n
39.0ms	(/.f64 1 n)
26.0ms	x

Results

Accuracy	Segments	Branch
71.7%	2	`x`
77.4%	4	`n`
77.4%	3	`(/.f64 1 n)`

Compiler

Compiled 336 to 197 computations (41.4% saved)

bsearch174.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	22919927150.41823	721915142263.6217
105.0ms	2.2000043497059473e-201	1.4772938459102182e-194
36.0ms	-4188494.3265343993	-12102.589794914236

Results

74.0ms	120×	body	1024	valid
24.0ms	139×	body	256	valid
19.0ms	120×	body	256	unsamplable
19.0ms	36×	body	512	infinite
14.0ms	16×	body	1024	infinite
8.0ms	41×	body	256	infinite
7.0ms	28×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 566 to 416 computations (26.5% saved)

regimes94.0ms (0.4%)

Counts

20 → 4

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	n
32.0ms	(/.f64 1 n)
19.0ms	x

Results

Accuracy	Segments	Branch
71.7%	2	`x`
77.4%	4	`n`
77.3%	3	`(/.f64 1 n)`

Compiler

Compiled 188 to 110 computations (41.5% saved)

bsearch173.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	22919927150.41823	721915142263.6217
110.0ms	2.2000043497059473e-201	1.4772938459102182e-194
33.0ms	-4188494.3265343993	-12102.589794914236

Results

73.0ms	113×	body	1024	valid
29.0ms	162×	body	256	valid
20.0ms	128×	body	256	unsamplable
18.0ms	22×	body	1024	infinite
15.0ms	36×	body	512	infinite
6.0ms	31×	body	256	infinite
4.0ms	18×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 502 to 384 computations (23.5% saved)

regimes81.0ms (0.3%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	n
26.0ms	(/.f64 1 n)
17.0ms	x

Results

Accuracy	Segments	Branch
62.2%	2	`x`
77.2%	4	`n`
77.2%	3	`(/.f64 1 n)`

Compiler

Compiled 171 to 101 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.385204356379645e-12	4.3630156127339727e-11
0.0ms	-65698901715.804276	-5019931549.158222

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes61.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	n
16.0ms	x
16.0ms	(/.f64 1 n)

Results

Accuracy	Segments	Branch
62.2%	2	`x`
71.2%	3	`n`
71.1%	2	`(/.f64 1 n)`

Compiler

Compiled 156 to 90 computations (42.3% saved)

bsearch209.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-2.351903846944191e-298	-5.877148515350253e-299
188.0ms	-1.9920590354816434e-10	-1.5220954595644996e-11

Results

111.0ms	97×	body	256	valid
95.0ms	95×	body	256	infinite

Compiler

Compiled 212 to 171 computations (19.3% saved)

regimes153.0ms (0.7%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

96.0ms	n
29.0ms	(/.f64 1 n)
25.0ms	x

Results

Accuracy	Segments	Branch
61.6%	3	`x`
50.9%	7	`n`
48.7%	4	`(/.f64 1 n)`

Compiler

Compiled 144 to 84 computations (41.7% saved)

bsearch109.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
74.0ms	6.526943398067706e+202	2.5206345944348897e+203
35.0ms	0.0007596153067792618	102670.75147195697

Results

57.0ms	54×	body	1024	valid
22.0ms	39×	body	2048	valid
10.0ms	55×	body	256	infinite
9.0ms	58×	body	256	valid
4.0ms	18×	body	512	valid
3.0ms	18×	body	256	unsamplable

Compiler

Compiled 323 to 239 computations (26% saved)

regimes53.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	n
14.0ms	(/.f64 1 n)
14.0ms	x

Results

Accuracy	Segments	Branch
37.5%	2	`x`
46.5%	3	`n`
46.5%	2	`(/.f64 1 n)`

Compiler

Compiled 139 to 81 computations (41.7% saved)

bsearch184.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
155.0ms	2.029684801525025e-290	1.0285230571858348e-268
29.0ms	-1.8607618251278887e-5	-1.9920590354816434e-10

Results

73.0ms	67×	body	1024	infinite
25.0ms	28×	body	1024	valid
24.0ms	153×	body	256	unsamplable
23.0ms	54×	body	512	infinite
21.0ms	106×	body	256	infinite
12.0ms	65×	body	256	valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

regimes49.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	n
14.0ms	(/.f64 1 n)
13.0ms	x

Results

Accuracy	Segments	Branch
36.1%	2	`x`
41.1%	3	`n`
41.1%	2	`(/.f64 1 n)`

Compiler

Compiled 135 to 78 computations (42.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-65698901715.804276	-5019931549.158222

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes51.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	x
4.0ms	(/.f64 1 n)
4.0ms	n

Results

Accuracy	Segments	Branch
34.4%	1	`x`
34.4%	1	`n`
34.4%	1	`(/.f64 1 n)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes10.0ms (0%)

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(/.f64 1 n)
3.0ms	n
3.0ms	x

Results

Accuracy	Segments	Branch
34.4%	1	`x`
34.4%	1	`n`
34.4%	1	`(/.f64 1 n)`

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative`
26×	`sub-neg`
20×	`*-commutative`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	881
1	131	881
2	152	881
3	168	881
4	173	881
5	174	881

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))))
(if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 23000000000) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n))) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 23000000000) (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 23000000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -50000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -3771848557197643/19342813113834066795298816) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 5944751508129055/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 179999999999999991016707518063463289827511486768673069261063360119499846368497152099667314694638725690583907271386862922600467261406190514204061002468612394658077485249816552721986325270723566063616786432) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 n -5460236245818027/295147905179352825856) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 7406438648663999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 (/.f64 1 n) -50000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))

Outputs
(if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))))
(if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))))
(if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 23000000000) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n))) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 n 23000000000) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (/.f64 (/.f64 (.f64 x x) n) n))) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 23000000000) (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 n 23000000000) (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 23000000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -12200) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 775638599498717/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 n 23000000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -50000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -50000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 4951760157141521/2475880078570760549798248448) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -3771848557197643/19342813113834066795298816) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (or (<=.f64 n -3771848557197643/19342813113834066795298816) (not (<=.f64 n -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208))) (/.f64 (log1p.f64 (/.f64 1 x)) n) (/.f64 0 n))
(if (<=.f64 x 5944751508129055/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 179999999999999991016707518063463289827511486768673069261063360119499846368497152099667314694638725690583907271386862922600467261406190514204061002468612394658077485249816552721986325270723566063616786432) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 x 5944751508129055/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 179999999999999991016707518063463289827511486768673069261063360119499846368497152099667314694638725690583907271386862922600467261406190514204061002468612394658077485249816552721986325270723566063616786432) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) (/.f64 0 n)))
(if (<=.f64 n -5460236245818027/295147905179352825856) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 7406438648663999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (or (<=.f64 n -5460236245818027/295147905179352825856) (not (<=.f64 n 7406438648663999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952))) (/.f64 (/.f64 1 x) n) (/.f64 0 n))
(if (<=.f64 (/.f64 1 n) -50000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))
(if (<=.f64 (/.f64 1 n) -50000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1) (/.f64 (/.f64 1 x) n))
(if (<=.f64 (/.f64 1 n) -50000000000) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 n x)))) (/.f64 (/.f64 1 x) n))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))

Compiler

Compiled 354 to 253 computations (28.5% saved)

soundness2.9s (12.4%)

Rules

1554×	`pow1`
1448×	`unswap-sqr`
1422×	`add-exp-log`
1422×	`log1p-expm1-u`
1420×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	14257
1	1442	12455
2	4724	11635
0	567	14257
1	1442	12455
2	4724	11635
0	9	36
1	192	36
2	2720	36
0	521	6554
1	1244	6246
2	4875	5420
0	567	14257
1	1442	12455
2	4724	11635
0	116	1870
1	290	1750
2	900	1714
3	4249	1670
0	8	26
1	155	26
2	1929	26
0	669	21858
1	1579	16432
2	5420	14680
0	521	6554
1	1244	6246
2	4875	5420
0	7	13
1	139	13
2	1664	13
0	669	21858
1	1579	16432
2	5420	14680
0	669	21858
1	1579	16432
2	5420	14680
0	567	14257
1	1442	12455
2	4724	11635
0	567	14257
1	1442	12455
2	4724	11635
0	457	14538
1	1266	13670
2	4929	13608

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

Compiler

Compiled 1012 to 630 computations (37.7% saved)

end157.0ms (0.7%)

Compiler: Compiled 330 to 222 computations (32.7% saved)