Details

analyze279.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.5s (40.6%)

Results

2.2s	2736×	body	1024	valid
2.0s	1529×	body	1024	invalid
1.8s	1810×	body	2048	valid
647.0ms	1271×	body	512	valid
549.0ms	2439×	body	256	valid
411.0ms	801×	body	512	invalid
227.0ms	757×	body	256	infinite
210.0ms	199×	body	1024	infinite
189.0ms	1305×	body	256	invalid
137.0ms	267×	body	512	infinite
115.0ms	323×	body	256	unsamplable
3.0ms	3×	body	2048	invalid

Bogosity

preprocess54.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1218×	`distribute-lft-neg-in`
1160×	`fma-def`
948×	`distribute-rgt-neg-in`
870×	`*-commutative`
864×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	35	74
2	77	74
3	196	74
4	601	74
5	1819	74
6	5145	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

1566×	`distribute-lft-neg-in`
1226×	`distribute-rgt-neg-in`
780×	`*-commutative`
742×	`associate--r+`
732×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	22	37
2	44	37
3	106	37
4	312	37
5	933	37
6	2607	37
7	4964	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

Error

35.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	n	@	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)))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms	n	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`associate-*r/`
990×	`*-commutative`
686×	`associate-*l/`
494×	`distribute-lft-in`
486×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	227	33
2	3106	33

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs
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Outputs

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simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1450×	`associate-*r/`
850×	`associate--r+`
842×	`associate-+l-`
642×	`associate-+r-`
638×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	12268
1	1231	11612
2	5237	11604

Stop Event

1×	node limit

Counts

124 → 229

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

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

eval201.0ms (1%)

Compiler: Compiled 9500 to 5908 computations (37.8% saved)

prune70.0ms (0.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	210	19	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	19	230

Error

0.4b

Counts

230 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.9b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	22.8b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (+.f64 (-.f64 (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)))
	45.4b	(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))))
	45.4b	(/.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))))
▶	17.4b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	45.4b	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))
	30.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	17.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	34.9b	(/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
	49.8b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
▶	55.9b	(-.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)))
	23.9b	(-.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)))))
	34.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	45.2b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	36.8b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (/.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))
▶	34.7b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	38.1b	(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) (.f64 (/.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)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))))
	45.4b	(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
	35.2b	(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))

Compiler

Compiled 1324 to 900 computations (32% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	3.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series55.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
11.0ms	n	@	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	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`associate-*r/`
1216×	`associate-/r*`
1086×	`associate-/l*`
958×	`*-commutative`
904×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	192	36
2	2703	36

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs
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Outputs

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simplify132.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-+r+`
1086×	`+-commutative`
672×	`associate-/l*`
668×	`associate-r`
598×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	9154
1	1298	8822
2	6780	8798

Stop Event

1×	node limit

Counts

202 → 278

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 x) n)
✓	3.4b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series41.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
9.0ms	x	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
8.0ms	x	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	inf	(/.f64 (log.f64 x) n)

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`*-commutative`
796×	`associate-*r/`
700×	`associate-/r*`
612×	`unswap-sqr`
588×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	199	30
2	2495	30

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 x) n) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 n) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 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#<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 n (log.f64 x)) -1/2) (pow.f64 (/.f64 n (log.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 x) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (log.f64 x) (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))))

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1674×	`associate-/r*`
702×	`associate-/l/`
628×	`associate-+l+`
590×	`associate-+r+`
582×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	7875
1	1036	6649
2	3808	6621

Stop Event

1×	node limit

Counts

167 → 231

Calls

Call 1

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

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/2 (*.f64 n n))
✓	2.8b	(+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
✓	3.4b	(-.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)))
✓	9.3b	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))

Compiler

Compiled 105 to 46 computations (56.2% saved)

series7.0ms (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))
1.0ms	x	@	inf	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	inf	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
0.0ms	n	@	inf	(-.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)))

rewrite139.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`associate-+l+`
556×	`+-commutative`
476×	`add-sqr-sqrt`
464×	`pow1`
464×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	180
1	455	152
2	6857	152

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (.f64 1/2 (pow.f64 n -2))) (.f64 (.f64 x x) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (/.f64 -1/2 n)) (.f64 (.f64 x x) (.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (pow.f64 n -2)) (.f64 x x)) (.f64 (/.f64 -1/2 n) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1/2 n) (.f64 x x)) (.f64 (.f64 1/2 (pow.f64 n -2)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (.f64 n n)))) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 3)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 (.f64 1/2 n) (.f64 1/2 (.f64 n n)))) (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (.f64 n n))) (.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 3)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 1/2 n) (.f64 1/2 (.f64 n n))) (.f64 x x)) (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 x x)) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x))))))))
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simplify269.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate--r+`
912×	`fma-def`
674×	`associate-+r+`
646×	`+-commutative`
644×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	575	20861
1	1623	19469
2	6972	19463

Stop Event

1×	node limit

Counts

295 → 370

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1/2 (*.f64 n n))
✓	2.3b	(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
✓	3.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	5.3b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))

Compiler

Compiled 115 to 41 computations (64.3% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms	x	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms	n	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`associate-/r/`
434×	`add-sqr-sqrt`
422×	`pow1`
422×	`*-un-lft-identity`
404×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	115
1	425	103
2	6325	103

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify197.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-r`
826×	`associate-/l*`
772×	`associate-l`
722×	`+-commutative`
682×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	11171
1	1653	10713
2	7697	10713

Stop Event

1×	node limit

Counts

231 → 273

Calls

Call 1

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

Outputs
(/.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 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 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 (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 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 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 (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 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 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 (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 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 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 (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 (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 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (.f64 x x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(/.f64 (.f64 (exp.f64 (.f64 -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 (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 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (.f64 x x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(/.f64 (.f64 (exp.f64 (.f64 -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 (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 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (.f64 x x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(/.f64 (.f64 (exp.f64 (.f64 -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 (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 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (.f64 x x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(/.f64 (.f64 (exp.f64 (/.f64 (+.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 (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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (.f64 x x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(/.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 (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))))
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(.f64 (/.f64 (.f64 (/.f64 1 x) (fma.f64 1/8 (pow.f64 (pow.f64 n -2) 3) (/.f64 -1/8 (pow.f64 n 3)))) (-.f64 (.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (.f64 (-.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 -1/4 (pow.f64 n 3)))))) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 (/.f64 1/4 n) n)) (/.f64 -1/4 (pow.f64 n 3))))
(.f64 (/.f64 (fma.f64 1/8 (pow.f64 (pow.f64 n -2) 3) (/.f64 -1/8 (pow.f64 n 3))) (.f64 (-.f64 (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4)) (*.f64 (+.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 1/4 (pow.f64 n 3))))) x)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 1/4 (pow.f64 n 3)))))
(.f64 (/.f64 (fma.f64 1/8 (pow.f64 (pow.f64 n -2) 3) (/.f64 -1/8 (pow.f64 n 3))) (.f64 (-.f64 (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4)) (.f64 (+.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 1/4 (pow.f64 n 3))))) x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 -1/4 (pow.f64 n 3))) (/.f64 -1/4 (.f64 n n))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 -1/8 (pow.f64 n 3))) (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (-.f64 (/.f64 1/4 (.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (+.f64 (.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (.f64 (-.f64 (/.f64 1/4 (.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))) (.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/4 (.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))))
(.f64 (/.f64 (fma.f64 1/8 (pow.f64 (pow.f64 n -2) 3) (/.f64 -1/8 (pow.f64 n 3))) (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (pow.f64 (-.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 -1/4 (pow.f64 n 3))) 3)) (/.f64 1 x))) (fma.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4)) (.f64 (-.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (-.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 -1/4 (pow.f64 n 3))) (/.f64 1/4 (pow.f64 n 4))))))
(.f64 (/.f64 (fma.f64 1/8 (pow.f64 (pow.f64 n -2) 3) (/.f64 -1/8 (pow.f64 n 3))) (.f64 (+.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (pow.f64 (+.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 1/4 (pow.f64 n 3))) 3)) x)) (fma.f64 (+.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (/.f64 (/.f64 1/4 n) n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 (pow.f64 n 4)))) (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4))))
(pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 3)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3) 1/3)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (/.f64 x (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)) x)
(neg.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (neg.f64 x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 2))
(fabs.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) 3) (pow.f64 x 3)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 1))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (log.f64 x) 2)
	3.0b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	3.9b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	9.9b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))

Compiler

Compiled 106 to 46 computations (56.6% saved)

series8.0ms (0%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
1.0ms	x	@	inf	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
1.0ms	n	@	0	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
1.0ms	x	@	0	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
1.0ms	n	@	inf	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`add-sqr-sqrt`
476×	`*-un-lft-identity`
470×	`pow1`
454×	`add-exp-log`
450×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	119
1	475	101
2	6963	101

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

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

(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (*.f64 (log1p.f64 x) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (*.f64 n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n 4))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (cbrt.f64 (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (/.f64 (pow.f64 (log1p.f64 x) 2) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))))))

simplify142.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

830×	`associate-+l-`
762×	`associate--l+`
756×	`associate-+r-`
572×	`fma-def`
514×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	13060
1	1314	12070
2	5381	11898

Stop Event

1×	node limit

Counts

170 → 237

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

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

eval831.0ms (4%)

Compiler: Compiled 56069 to 28766 computations (48.7% saved)

prune573.0ms (2.7%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	1584	32	1616
Fresh	10	4	14
Picked	1	0	1
Done	4	0	4
Total	1599	36	1635

Error

Counts

1635 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	17.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	17.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	42.8b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	17.5b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	40.3b	(/.f64 (/.f64 1 x) n)
	41.2b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	40.3b	(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
	41.2b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
	37.4b	(/.f64 (-.f64 x (log.f64 x)) n)
	45.1b	(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	41.0b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
	37.3b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	17.3b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	17.8b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	30.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	17.8b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	17.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
▶	45.2b	(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
▶	40.5b	(/.f64 1 (*.f64 x n))
	37.3b	(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.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))
	37.5b	(-.f64 (/.f64 x n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))
	41.4b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
▶	49.8b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
	41.5b	(-.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))))
	49.9b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))
	37.2b	(-.f64 (.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))
	37.4b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	34.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	45.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	41.2b	(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (.f64 x (.f64 x n)))))
	55.9b	(+.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)
	61.7b	(+.f64 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n))
	17.5b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	18.4b	(.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))) n)))
	35.2b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))

Compiler

Compiled 1162 to 776 computations (33.2% saved)

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.2b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	2.8b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series18.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	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)

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`associate-*r/`
1428×	`associate-/r*`
1094×	`associate-/l*`
1058×	`associate-*l/`
986×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	209	49
2	2816	49

Stop Event

1×	node limit

Counts

3 → 147

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

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))))))

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-/r*`
788×	`associate-+l+`
654×	`associate-+r+`
636×	`+-commutative`
514×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	5359
1	981	4933
2	3970	4927

Stop Event

1×	node limit

Counts

195 → 259

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`add-sqr-sqrt`
1284×	`*-un-lft-identity`
1192×	`add-cube-cbrt`
1176×	`add-cbrt-cube`
1162×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	139	13
2	1649	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x n) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))))))

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1764×	`associate-/r*`
1214×	`associate-r`
1008×	`associate-l`
956×	`associate-/l/`
668×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	647
1	151	647
2	548	641
3	3542	635

Stop Event

1×	node limit

Counts

47 → 29

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
✓	3.4b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	0	(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
0.0ms	x	@	0	(-.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	n	@	inf	(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-*r/`
836×	`*-commutative`
808×	`associate-*l/`
714×	`unswap-sqr`
658×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	224	38
2	2673	38

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2) 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simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

754×	`distribute-lft-neg-out`
694×	`distribute-rgt-neg-out`
638×	`associate-+r+`
588×	`distribute-frac-neg`
560×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	11618
1	1046	11220
2	4333	11204

Stop Event

1×	node limit

Counts

248 → 245

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

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

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 x) n)
✓	5.6b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series1.0ms (0%)

Counts

1 → 21

Calls

6 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-/r*`
1208×	`associate-/l*`
950×	`distribute-lft-in`
318×	`associate-/r/`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	256	31
2	3565	31

Stop Event

1×	node limit

Counts

1 → 113

Calls

Call 1

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

Outputs

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simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-+l-`
1190×	`associate-+r-`
892×	`associate--r+`
586×	`fma-def`
488×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	354	9940
1	1092	9204
2	5135	9204

Stop Event

1×	node limit

Counts

134 → 207

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	0.7b	(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	3.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`associate-*r/`
972×	`*-commutative`
834×	`associate-/r*`
788×	`associate-*l/`
692×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	218	55
2	2763	55

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))

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simplify114.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-r`
724×	`fma-def`
680×	`associate-/l*`
638×	`associate-l`
518×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	622	12125
1	1694	11673

Stop Event

1×	node limit

Counts

277 → 384

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

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 (.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)))
(/.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 (/.f64 1/2 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 (/.f64 1/2 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))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 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 (/.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 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 1/4 (.f64 (pow.f64 x 4) n)))) (/.f64 -1/2 (.f64 x (*.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 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 1/4 (.f64 (pow.f64 x 4) n)))) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (*.f64 -1 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (neg.f64 (/.f64 x (log.f64 x))))
(-.f64 (log.f64 (neg.f64 (log.f64 x))) (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 -1 (/.f64 x (log.f64 x))) (.f64 1/2 (*.f64 (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
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(log1p.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1))

eval568.0ms (2.7%)

Compiler: Compiled 33467 to 18692 computations (44.1% saved)

prune479.0ms (2.3%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	1381	19	1400
Fresh	10	21	31
Picked	1	0	1
Done	2	2	4
Total	1394	42	1436

Error

Counts

1436 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	17.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	17.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	42.8b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
▶	17.5b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	40.3b	(/.f64 (/.f64 1 x) n)
	40.3b	(/.f64 (/.f64 1 n) x)
	41.2b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	40.3b	(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
	23.0b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
▶	37.4b	(/.f64 (-.f64 x (log.f64 x)) n)
	45.1b	(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	41.2b	(/.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)
	17.5b	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n)) (-.f64 (pow.f64 (log1p.f64 x) 4) (.f64 (pow.f64 (log.f64 x) 2) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))))
	17.3b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
	37.3b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	15.9b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
	40.9b	(/.f64 (log.f64 1) n)
	30.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	39.0b	(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n)
▶	60.9b	(/.f64 x n)
	17.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	45.1b	(/.f64 1 (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 2 n))))))
	45.1b	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))))
	37.3b	(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
✓	45.2b	(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
▶	45.1b	(/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))))
✓	40.5b	(/.f64 1 (*.f64 x n))
	37.3b	(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.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))
	41.1b	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
	55.3b	(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
	49.9b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))
	46.3b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	37.2b	(-.f64 (.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))
	37.4b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	34.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	45.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	55.9b	(+.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)
	61.7b	(+.f64 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n))
	37.5b	(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
	40.3b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	17.4b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))

Compiler

Compiled 1260 to 870 computations (31% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 (/.f64 1 x) 0))
✓	0.3b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)

Compiler

Compiled 28 to 21 computations (25% saved)

series53.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	n	@	inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
13.0ms	n	@	0	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	n	@	-inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	x	@	-inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	x	@	0	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`add-sqr-sqrt`
1856×	`*-un-lft-identity`
1736×	`add-cube-cbrt`
1716×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	228	28
2	2651	28

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(log1p.f64 (+.f64 (/.f64 1 x) 0))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1))))))

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-*r/`
1092×	`associate-/l*`
864×	`unswap-sqr`
770×	`associate-*l/`
684×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	163	1982
1	389	1938
2	1875	1938

Stop Event

1×	node limit

Counts

84 → 118

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

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 x (log.f64 x)) n)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (-.f64 x (log.f64 x)) n)
0.0ms	n	@	0	(/.f64 (-.f64 x (log.f64 x)) n)
0.0ms	n	@	inf	(/.f64 (-.f64 x (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 x (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 x (log.f64 x)) n)

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`associate-*r/`
1224×	`associate-/r*`
1088×	`associate-/l*`
896×	`*-commutative`
892×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	173	17
2	2505	17

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 n) (neg.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) n) (cbrt.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) (cbrt.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (-.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (log.f64 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))))

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-*r/`
970×	`distribute-lft-in`
900×	`distribute-rgt-in`
726×	`associate-*l/`
650×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1972
1	485	1848
2	1949	1748

Stop Event

1×	node limit

Counts

68 → 84

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
✓	0.1b	(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	3.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 41 to 17 computations (58.5% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`associate-/r*`
1084×	`*-commutative`
974×	`associate-/l*`
604×	`associate-/r/`
564×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	259	57
2	3155	57

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

Outputs

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(log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))) -1) (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))))))

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1626×	`associate--r+`
788×	`associate-r`
758×	`fma-def`
724×	`associate-l`
544×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	621	12456
1	1743	11796
2	7933	11784

Stop Event

1×	node limit

Counts

278 → 407

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)
(/.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (/.f64 1 (log.f64 x)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (log.f64 x))))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)))) (/.f64 1 (log.f64 x)))
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/12 (/.f64 1 x)))
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/12 (/.f64 1 x)))
(*.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 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (/.f64 1 n)))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (/.f64 1 n)))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (/.f64 1 n)))
(+.f64 (.f64 (/.f64 1 n) (log1p.f64 x)) (.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))
(+.f64 (.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (.f64 (/.f64 1 n) (log1p.f64 x)))
(+.f64 (.f64 (log1p.f64 x) (/.f64 1 n)) (.f64 (neg.f64 (log.f64 x)) (/.f64 1 n)))
(+.f64 (.f64 (neg.f64 (log.f64 x)) (/.f64 1 n)) (.f64 (log1p.f64 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 (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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 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 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 1 n) (neg.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n))
(.f64 (.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))))
(*.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 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 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 (/.f64 1 n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2)) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (/.f64 1 n) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (/.f64 1 n) -1) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 1 n) -1) 1) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 1 n) -1) -1) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (/.f64 1 n) (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)
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(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (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 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
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(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) 1))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (exp.f64 (log1p.f64 (log.f64 x)))) 1)
(+.f64 (.f64 -1 (neg.f64 (log1p.f64 x))) (.f64 -1 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (.f64 (neg.f64 (log1p.f64 x)) -1) (.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) (+.f64 1 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) (-.f64 1 (neg.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.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 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.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 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.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 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.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) 1) (/.f64 (log.f64 x) 1))
(-.f64 (/.f64 (log1p.f64 x) 1) (-.f64 (/.f64 (log.f64 x) 1) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(-.f64 (/.f64 (log1p.f64 x) 1) (-.f64 (/.f64 (log.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(-.f64 (/.f64 (log1p.f64 x) 1) (-.f64 (/.f64 (log.f64 x) 1) (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) 0) (log.f64 x))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)
(-.f64 (-.f64 (log1p.f64 x) 0) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 1 (neg.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (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 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(*.f64 -1 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (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 (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) -1))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) -1) (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (-.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (.f64 (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (.f64 (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))) -1) (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 x) 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))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 x) x) 1))
(fma.f64 1 (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)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))

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

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))
✓	0.0b	(/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))))
✓	0.0b	(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))
✓	3.5b	(-.f64 1 (pow.f64 x (/.f64 3 n)))

Compiler

Compiled 152 to 109 computations (28.3% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-/l*`
458×	`add-sqr-sqrt`
442×	`*-un-lft-identity`
436×	`pow1`
426×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	172
1	469	172
2	6391	172

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 x (/.f64 3 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (.f64 2 (/.f64 3 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n)))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n)))) (+.f64 1 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n)))) (/.f64 1 (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 3 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (.f64 2 (/.f64 3 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3))) (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (.f64 2 (/.f64 3 n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (.f64 2 (/.f64 3 n))))) (sqrt.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n))))) (/.f64 (+.f64 1 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3)))) (cbrt.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3))))) (/.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (.f64 2 (/.f64 3 n))))) (cbrt.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 3 n) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n))))) (cbrt.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n)))))) (/.f64 (+.f64 1 (pow.f64 x (/.f64 3 n))) (cbrt.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 3 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (neg.f64 (pow.f64 x (/.f64 3 n))))) (+.f64 1 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (pow.f64 x (/.f64 3 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simplify238.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1034×	`associate-r`
998×	`associate-/l*`
752×	`associate-l`
678×	`*-commutative`
662×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	757	30908
1	2137	29536

Stop Event

1×	node limit

Counts

362 → 457

Calls

Call 1

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

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

eval624.0ms (3%)

Compiler: Compiled 38069 to 23426 computations (38.5% saved)

prune326.0ms (1.6%)

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1231	17	1248
Fresh	9	26	35
Picked	1	0	1
Done	3	3	6
Total	1244	46	1290

Error

Counts

1290 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
	47.9b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
	37.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
	16.0b	(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2) n)
	47.9b	(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	17.5b	(/.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2))
	37.3b	(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
	40.0b	(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
	37.5b	(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
	39.7b	(/.f64 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n)
	40.3b	(/.f64 (/.f64 1 x) n)
	40.3b	(/.f64 (/.f64 1 n) x)
	41.2b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	40.3b	(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
	41.2b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/4 (pow.f64 x 4))) n)
	23.0b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
	45.1b	(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	17.3b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
	37.3b	(/.f64 (neg.f64 (log.f64 x)) n)
	15.9b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	40.9b	(/.f64 (log.f64 1) n)
	30.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	39.0b	(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n)
✓	60.9b	(/.f64 x n)
	45.1b	(/.f64 1 (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 2 n))))))
	37.3b	(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
✓	45.2b	(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
	50.1b	(/.f64 1 (/.f64 1 (.f64 (/.f64 1 (+.f64 1 (+.f64 2 (.f64 3 (/.f64 (log.f64 x) n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))))
✓	40.5b	(/.f64 1 (*.f64 x n))
	37.3b	(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.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))
	41.1b	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
	55.3b	(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
	49.9b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))
	46.3b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	37.2b	(-.f64 (.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))
	37.4b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	34.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	45.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	55.9b	(+.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)
	61.7b	(+.f64 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n))
	37.5b	(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
	17.5b	(*.f64 (/.f64 (/.f64 1 n) (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)
	40.3b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	37.5b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
	45.1b	(*.f64 (/.f64 -1 (-.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))
	51.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))

Compiler

Compiled 651 to 462 computations (29% saved)

regimes318.0ms (1.5%)

Counts

88 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.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 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(*.f64 (/.f64 (/.f64 1 n) (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (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 (+.f64 1 (/.f64 x n)) (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) 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 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/4 (pow.f64 x 4))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
(/.f64 1 (/.f64 1 (.f64 (/.f64 1 (+.f64 1 (+.f64 2 (.f64 3 (/.f64 (log.f64 x) n))))) (-.f64 1 (pow.f64 x (/.f64 3 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 (+.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 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
(*.f64 (/.f64 -1 (-.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))))
(/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))))
(/.f64 1 (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 2 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 (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(-.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 (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 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
(/.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 (.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.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 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (/.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (+.f64 (-.f64 (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)))
(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) (.f64 (/.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)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))) n)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n)) (-.f64 (pow.f64 (log1p.f64 x) 4) (.f64 (pow.f64 (log.f64 x) 2) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))

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

Calls

4 calls:

102.0ms	n
101.0ms	(/.f64 1 n)
67.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.2b	2	`x`
0.6b	3	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.4b	3	`(/.f64 1 n)`

Compiler

Compiled 1615 to 901 computations (44.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4097342528193176e-16	8.054105410476914e-10
0.0ms	-5.911815169712228e-11	-2.1613622780312838e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes249.0ms (1.2%)

Counts

70 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.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 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(*.f64 (/.f64 (/.f64 1 n) (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (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 (+.f64 1 (/.f64 x n)) (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) 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 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/4 (pow.f64 x 4))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
(/.f64 1 (/.f64 1 (.f64 (/.f64 1 (+.f64 1 (+.f64 2 (.f64 3 (/.f64 (log.f64 x) n))))) (-.f64 1 (pow.f64 x (/.f64 3 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 (+.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 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
(*.f64 (/.f64 -1 (-.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))))
(/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))))
(/.f64 1 (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 2 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 (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))

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

Calls

4 calls:

83.0ms	n
82.0ms	(/.f64 1 n)
55.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
0.6b	3	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.4b	3	`(/.f64 1 n)`

Compiler

Compiled 892 to 505 computations (43.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4097342528193176e-16	8.054105410476914e-10
0.0ms	-5.911815169712228e-11	-2.1613622780312838e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes197.0ms (0.9%)

Counts

55 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.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 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(*.f64 (/.f64 (/.f64 1 n) (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (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 (+.f64 1 (/.f64 x n)) (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) 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 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/4 (pow.f64 x 4))) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
(/.f64 1 (/.f64 1 (.f64 (/.f64 1 (+.f64 1 (+.f64 2 (.f64 3 (/.f64 (log.f64 x) n))))) (-.f64 1 (pow.f64 x (/.f64 3 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 (+.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 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))

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

Calls

4 calls:

67.0ms	(/.f64 1 n)
65.0ms	n
43.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
0.9b	3	`n`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.5b	3	`(/.f64 1 n)`

Compiler

Compiled 671 to 382 computations (43.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4097342528193176e-16	8.054105410476914e-10
0.0ms	-5.911815169712228e-11	-2.1613622780312838e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes158.0ms (0.8%)

Counts

42 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.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 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(*.f64 (/.f64 (/.f64 1 n) (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (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))))

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

Calls

4 calls:

54.0ms	(/.f64 1 n)
53.0ms	n
34.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
0.9b	3	`n`
10.7b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.6b	3	`(/.f64 1 n)`

Compiler

Compiled 449 to 258 computations (42.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4097342528193176e-16	8.054105410476914e-10
0.0ms	-5.911815169712228e-11	-2.1613622780312838e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes147.0ms (0.7%)

Counts

37 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.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 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

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

Calls

3 calls:

61.0ms	n
46.0ms	(/.f64 1 n)
30.0ms	x

Results

Error	Segments	Branch
6.4b	2	`x`
0.6b	4	`n`
0.6b	3	`(/.f64 1 n)`

Compiler

Compiled 369 to 210 computations (43.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4097342528193176e-16	8.054105410476914e-10
0.0ms	-5.911815169712228e-11	-2.1613622780312838e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes277.0ms (1.3%)

Counts

36 → 4

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.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 (+.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))

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

Calls

3 calls:

162.0ms	x
62.0ms	n
44.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.6b	2	`x`
0.8b	4	`n`
0.8b	3	`(/.f64 1 n)`

Compiler

Compiled 360 to 209 computations (41.9% saved)

bsearch210.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
44.0ms	1241602821.2136178	7093535522742013.0
120.0ms	-1.3238921978903606e-301	1.532252179384762e-267
47.0ms	-1187657190.51457	-0.08791442333670368

Results

79.0ms	52×	body	1024	infinite
43.0ms	91×	body	1024	valid
31.0ms	182×	body	256	valid
22.0ms	115×	body	256	unsamplable
9.0ms	31×	body	512	valid
9.0ms	19×	body	512	infinite
6.0ms	29×	body	256	infinite
4.0ms	4×	body	2048	valid

Compiler

Compiled 387 to 298 computations (23% saved)

regimes133.0ms (0.6%)

Counts

25 → 4

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(/.f64 (/.f64 1 (/.f64 -1 (log.f64 x))) n)
(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))

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

Calls

3 calls:

61.0ms	(/.f64 1 n)
44.0ms	n
23.0ms	x

Results

Error	Segments	Branch
13.6b	2	`x`
0.9b	4	`n`
0.9b	3	`(/.f64 1 n)`

Compiler

Compiled 224 to 136 computations (39.3% saved)

bsearch302.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
66.0ms	1241602821.2136178	7093535522742013.0
190.0ms	-1.3238921978903606e-301	1.532252179384762e-267
46.0ms	-1187657190.51457	-0.08791442333670368

Results

122.0ms	75×	body	1024	infinite
61.0ms	187×	body	256	valid
49.0ms	90×	body	1024	valid
30.0ms	166×	body	256	unsamplable
16.0ms	34×	body	512	infinite
10.0ms	35×	body	512	valid
8.0ms	40×	body	256	infinite
3.0ms	3×	body	2048	valid

Compiler

Compiled 351 to 280 computations (20.2% saved)

regimes65.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 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:

26.0ms	n
18.0ms	x
18.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.6b	2	`x`
6.0b	3	`n`
6.0b	2	`(/.f64 1 n)`

Compiler

Compiled 157 to 95 computations (39.5% saved)

bsearch610.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
554.0ms	-1.3238921978903606e-301	1.532252179384762e-267
55.0ms	-1187657190.51457	-0.08791442333670368

Results

204.0ms	183×	body	1024	infinite
167.0ms	423×	body	256	unsamplable
144.0ms	83×	body	512	infinite
37.0ms	58×	body	1024	valid
17.0ms	82×	body	256	infinite
17.0ms	86×	body	256	valid
8.0ms	29×	body	512	valid
8.0ms	5×	body	2048	valid

Compiler

Compiled 196 to 158 computations (19.4% saved)

regimes442.0ms (2.1%)

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n)
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n)
(/.f64 (log.f64 1) n)

Calls

3 calls:

283.0ms	x
92.0ms	n
62.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.7b	3	`x`
20.4b	6	`n`
19.2b	7	`(/.f64 1 n)`

Compiler

Compiled 145 to 89 computations (38.6% saved)

bsearch131.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	3.888476591534143e+228	3.614017798260297e+230
61.0ms	3.9105523199212845e-6	3.0708407783201097

Results

63.0ms	92×	body	2048	valid
40.0ms	94×	body	1024	valid
8.0ms	32×	body	512	valid
6.0ms	32×	body	256	infinite
6.0ms	38×	body	256	valid
3.0ms	14×	body	256	unsamplable

Compiler

Compiled 461 to 351 computations (23.9% saved)

regimes56.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n)
(/.f64 (log.f64 1) n)

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

Calls

3 calls:

22.0ms	n
16.0ms	(/.f64 1 n)
15.0ms	x

Results

Error	Segments	Branch
35.2b	2	`x`
27.6b	3	`n`
27.6b	2	`(/.f64 1 n)`

Compiler

Compiled 140 to 86 computations (38.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-11.374697825976716	-8.419938076295696e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes53.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/12 x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 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 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n)

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

Calls

3 calls:

21.0ms	n
15.0ms	x
15.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
35.4b	2	`x`
33.0b	3	`n`
33.0b	2	`(/.f64 1 n)`

Compiler

Compiled 136 to 83 computations (39% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-11.374697825976716	-8.419938076295696e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)

Calls

3 calls:

6.0ms	x
5.0ms	(/.f64 1 n)
5.0ms	n

Results

Error	Segments	Branch
37.5b	1	`x`
37.5b	1	`n`
37.5b	1	`(/.f64 1 n)`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	n
5.0ms	(/.f64 1 n)
5.0ms	x

Results

Error	Segments	Branch
40.3b	1	`x`
40.3b	1	`n`
40.3b	1	`(/.f64 1 n)`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes14.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	n
4.0ms	(/.f64 1 n)
4.0ms	x

Results

Error	Segments	Branch
40.3b	1	`x`
40.3b	1	`n`
40.3b	1	`(/.f64 1 n)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes48.0ms (0.2%)

Accuracy

Total -20.9b remaining (-51.7%)

Threshold costs -20.9b (-51.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	x
4.0ms	n

Results

Error	Segments	Branch
40.5b	1	`x`
40.5b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative`
32×	`sub-neg`
18×	`*-commutative`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1064
1	140	1064
2	168	1064
3	181	1064
4	187	1064

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))))
(if (<=.f64 n -8669429282688205/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3194317388403141/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (/.f64 (log.f64 1) n) (if (<=.f64 n 1250000000) (-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1)) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3194317388403141/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (/.f64 (log.f64 1) n) (if (<=.f64 n 1250000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8782019273372467/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 7121214707023031/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 3152519739159347/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 6000000000000000220352124533043290117918738210374811670685335906932278677028196998802920597532123137301929286823705543337923561475658654624929191141478945247975292488578802131120106565313947753455796392213788344946716717074087936) (/.f64 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 (/.f64 1 n) -10) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 (+.f64 x 1/2)) n))
(if (<=.f64 (/.f64 1 n) -10) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 (+.f64 x 1/2)) n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (/.f64 x n) (+.f64 (pow.f64 x (/.f64 1 n)) -1))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 2028240960365167/10141204801825835211973625643008) (/.f64 (log1p.f64 (/.f64 1 x)) n) (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 n -8669429282688205/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3194317388403141/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (/.f64 (log.f64 1) n) (if (<=.f64 n 1250000000) (-.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) 1)) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8669429282688205/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3194317388403141/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (/.f64 0 n) (if (<=.f64 n 1250000000) (-.f64 (/.f64 x n) (+.f64 (pow.f64 x (/.f64 1 n)) -1)) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8669429282688205/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3194317388403141/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (/.f64 0 n) (if (<=.f64 n 1250000000) (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3194317388403141/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (/.f64 (log.f64 1) n) (if (<=.f64 n 1250000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3194317388403141/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (/.f64 0 n) (if (<=.f64 n 1250000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8782019273372467/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 7121214707023031/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (or (<=.f64 n -8782019273372467/1125899906842624) (not (<=.f64 n 7121214707023031/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288))) (/.f64 (log1p.f64 (/.f64 1 x)) n) (/.f64 0 n))
(if (<=.f64 x 3152519739159347/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 6000000000000000220352124533043290117918738210374811670685335906932278677028196998802920597532123137301929286823705543337923561475658654624929191141478945247975292488578802131120106565313947753455796392213788344946716717074087936) (/.f64 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 x 3152519739159347/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 6000000000000000220352124533043290117918738210374811670685335906932278677028196998802920597532123137301929286823705543337923561475658654624929191141478945247975292488578802131120106565313947753455796392213788344946716717074087936) (/.f64 (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))) n) (/.f64 0 n)))
(if (<=.f64 x 3152519739159347/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 6000000000000000220352124533043290117918738210374811670685335906932278677028196998802920597532123137301929286823705543337923561475658654624929191141478945247975292488578802131120106565313947753455796392213788344946716717074087936) (/.f64 (/.f64 1 (+.f64 1/2 (+.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 -1/12 x)))) n) (/.f64 0 n)))
(if (<=.f64 (/.f64 1 n) -10) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 (+.f64 x 1/2)) n))
(if (<=.f64 (/.f64 1 n) -10) (/.f64 0 n) (/.f64 (/.f64 1 (+.f64 x 1/2)) n))
(if (<=.f64 (/.f64 1 n) -10) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 (+.f64 x 1/2)) n))
(if (<=.f64 (/.f64 1 n) -10) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 (+.f64 x 1/2)) n))
(if (<=.f64 (/.f64 1 n) -10) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 n x)))) (/.f64 (/.f64 1 (+.f64 x 1/2)) n))
(/.f64 (/.f64 1 (+.f64 x 1/2)) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 x n)

Compiler

Compiled 422 to 294 computations (30.3% saved)

soundness358.0ms (1.7%)

Algorithm

4×	egg-herbie

Rules

1564×	`associate-/r*`
1450×	`associate-*r/`
1450×	`associate-*r/`
1382×	`associate-*r/`
1092×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	417	12268
1	1231	11612
2	5237	11604
0	417	12268
1	1231	11612
2	5237	11604
0	384	5359
1	981	4933
2	3970	4927
0	163	1982
1	389	1938
2	1875	1938

Stop Event

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

Compiler

Compiled 235 to 151 computations (35.7% saved)

end266.0ms (1.3%)

Compiler: Compiled 392 to 234 computations (40.3% saved)