Details

analyze282.0ms (1.1%)

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)

sample7.9s (31.1%)

Results

2.2s	2795×	body	1024	valid
1.6s	1743×	body	2048	valid
1.5s	1485×	body	1024	invalid
799.0ms	1264×	body	512	valid
537.0ms	2454×	body	256	valid
383.0ms	764×	body	512	invalid
235.0ms	205×	body	1024	infinite
225.0ms	783×	body	256	infinite
163.0ms	1232×	body	256	invalid
146.0ms	246×	body	512	infinite
114.0ms	349×	body	256	unsamplable
9.0ms	5×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess53.0ms (0.2%)

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 (0.2%)

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

33.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.9b	(-.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 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	2.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series76.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
18.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
14.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
10.0ms	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)))

rewrite117.0ms (0.5%)

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	50
1	227	46
2	3106	46

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs
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Outputs

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

simplify171.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

940×	`associate--r+`
888×	`associate-+l-`
780×	`associate-+r-`
684×	`associate--l+`
576×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	13248
1	1288	12594
2	5562	12586

Stop Event

1×	node limit

Counts

166 → 261

Calls

Call 1

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

eval224.0ms (0.9%)

Compiler: Compiled 9980 to 6274 computations (37.1% saved)

prune103.0ms (0.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	243	18	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	18	262

Error

0.7b

Counts

262 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	24.5b	(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 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
	29.4b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (+.f64 (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log1p.f64 x) 3))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (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)))))))
	33.1b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3)
	33.1b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
	45.7b	(/.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))))
	45.6b	(/.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)))))
▶	18.7b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	45.6b	(/.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)))))
	27.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	25.7b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)))
▶	50.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
▶	27.4b	(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
	51.0b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
▶	55.8b	(-.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)))
	27.4b	(-.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)))))
	33.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	45.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	34.6b	(+.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)))

Compiler

Compiled 1058 to 736 computations (30.4% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	3.8b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series47.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	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	x	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite95.0ms (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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(pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))

simplify125.0ms (0.5%)

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

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`associate-*r/`
820×	`*-commutative`
680×	`unswap-sqr`
648×	`associate-*l/`
478×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	202	15
2	2695	15

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

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

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-/l*`
1466×	`associate-/r*`
914×	`associate-*r/`
880×	`*-commutative`
614×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	7381
1	889	7023
2	3215	7003

Stop Event

1×	node limit

Counts

105 → 184

Calls

Call 1

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

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1/2 (*.f64 n n))
✓	3.1b	(-.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)))
✓	5.0b	(+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
✓	5.9b	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))

Compiler

Compiled 105 to 46 computations (56.2% saved)

series8.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite130.0ms (0.5%)

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 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (+.f64 1 (-.f64 (/.f64 x n) (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x))))) (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4)) (+.f64 1 (-.f64 (/.f64 x n) (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x) (+.f64 1 (/.f64 x n)))))))) (#(struct:change 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simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	575	20861
1	1622	19469
2	6984	19463

Stop Event

1×	node limit

Counts

295 → 364

Calls

Call 1

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

localize84.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 2 n))
✓	0.0b	(+.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))))
✓	2.5b	(-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))
✓	10.2b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 160 to 111 computations (30.6% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite137.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`add-sqr-sqrt`
478×	`*-un-lft-identity`
468×	`pow1`
460×	`add-exp-log`
460×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	142
1	472	142
2	6713	142

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))) (sqrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))) (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n))) (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 1 x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x x))) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x (.f64 x x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (neg.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (+.f64 (.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1) (fma.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (pow.f64 x (/.f64 3 n))) (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (+.f64 (.f64 (neg.f64 (pow.f64 x 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simplify210.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-+r-`
1074×	`fma-def`
900×	`+-commutative`
788×	`associate-+r+`
600×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	698	19969
1	1971	18841
2	7712	18815

Stop Event

1×	node limit

Counts

239 → 390

Calls

Call 1

Inputs
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.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 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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 -2 (/.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 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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)))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))
(+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))
(+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (.f64 n x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) 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 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
1
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1)
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))))
1
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1)
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))))
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (.f64 3 (/.f64 x n))) (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (.f64 3 (/.f64 x n)))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 n) (.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (.f64 9/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (.f64 3 (/.f64 x n))))) (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))))
(.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (/.f64 1 n) (.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (.f64 9/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 27/8 (/.f64 1 (pow.f64 n 4))) (.f64 33/8 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 n 3))) (.f64 3/4 (/.f64 1 n))))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 n) (.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (.f64 9/2 (/.f64 1 (pow.f64 n 2)))) (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 3)) (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))))
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3
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3
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(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
1
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1
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(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 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 x (.f64 x x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2)) (/.f64 1 (-.f64 (pow.f64 (+.f64 x (*.f64 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 x (.f64 x x)) (/.f64 3 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)) (.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (-.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)) (.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))) (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 3 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2)) (-.f64 (pow.f64 (+.f64 x (.f64 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 x (.f64 x x)) (/.f64 3 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3)) (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)) (.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2) (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 2 n)))) (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) (.f64 (/.f64 2 n) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) 3)) (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))) (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 2 n))) (.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2))) (neg.f64 (-.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 3 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n)) (.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)))))))
(pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(fma.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(fma.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))) (sqrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 2 n))) (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))
(fma.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 2 n)))) 1)
(*.f64 1 (pow.f64 x (/.f64 2 n)))
(*.f64 (pow.f64 x (/.f64 2 n)) 1)
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 2 n))) (sqrt.f64 (pow.f64 x (/.f64 2 n))))
(.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (.f64 2 (/.f64 2 n)))))
(.f64 (cbrt.f64 (pow.f64 x (.f64 2 (/.f64 2 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (pow.f64 1 (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 2 n)) (pow.f64 (sqrt.f64 x) (/.f64 2 n)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 n)) (pow.f64 (cbrt.f64 x) (/.f64 2 n)))
(sqrt.f64 (pow.f64 x (*.f64 2 (/.f64 2 n))))
(log.f64 (exp.f64 (pow.f64 x (/.f64 2 n))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 2 n)))))
(cbrt.f64 (pow.f64 x (*.f64 (/.f64 2 n) 3)))
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 2 n))))
(exp.f64 (/.f64 (log.f64 x) (*.f64 n 1/2)))
(exp.f64 (.f64 (/.f64 (log.f64 x) (.f64 n 1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 2 n))))

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

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
✓	2.0b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	4.1b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n))
✓	9.8b	(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))

Compiler

Compiled 118 to 47 computations (60.2% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite158.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`associate-+l+`
484×	`add-sqr-sqrt`
472×	`*-un-lft-identity`
466×	`pow1`
450×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	194
1	472	164
2	6889	164

Stop Event

1×	node limit

Counts

4 → 326

Calls

Call 1

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

Outputs
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simplify273.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-+r+`
1146×	`+-commutative`
748×	`associate-r`
650×	`associate-l`
620×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	892	38540
1	2670	35816

Stop Event

1×	node limit

Counts

422 → 536

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

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

eval1.4s (5.6%)

Compiler: Compiled 74387 to 41271 computations (44.5% saved)

prune677.0ms (2.6%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	1718	34	1752
Fresh	9	4	13
Picked	1	0	1
Done	3	1	4
Total	1731	39	1770

Error

0.0b

Counts

1770 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	52.3b	(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
	18.8b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	19.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	18.9b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	39.4b	(/.f64 (/.f64 1 x) n)
	40.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	40.6b	(/.f64 (-.f64 x (log.f64 x)) n)
▶	55.1b	(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
▶	39.3b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
	45.6b	(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.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)))))
	29.6b	(/.f64 (.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 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)))))
	45.9b	(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 3 (/.f64 (log.f64 x) 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)))))
	30.2b	(/.f64 (.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (fma.f64 27/8 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 9/2 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))) (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) 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)))))
	45.6b	(/.f64 (.f64 (log.f64 (exp.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)))))
	40.5b	(/.f64 (neg.f64 (log.f64 x)) n)
	19.0b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	19.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	27.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	19.0b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	61.1b	(/.f64 x n)
	40.0b	(/.f64 1 (*.f64 x n))
✓	50.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
▶	40.9b	(-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
▶	18.8b	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
	41.0b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	33.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	45.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	40.7b	(+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (.f64 x x)) (+.f64 (/.f64 (/.f64 (.f64 (log.f64 x) 1) (.f64 n n)) x) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))))
	34.6b	(+.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)))
	41.3b	(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 (.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))))))
	41.5b	(+.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 (.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))))))
	61.8b	(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
	55.8b	(+.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)
	52.3b	(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6))
	19.1b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	18.8b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	56.0b	(log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
	60.1b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	33.7b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))

Compiler

Compiled 1763 to 1185 computations (32.8% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (log1p.f64 x) n)
✓	0.3b	(/.f64 (log.f64 x) n)
✓	3.9b	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))

Compiler

Compiled 25 to 7 computations (72% saved)

series3.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite128.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`associate-/l*`
774×	`distribute-rgt-in`
744×	`distribute-lft-in`
448×	`associate-/r/`
404×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	219	43
2	3265	43

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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

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

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1066×	`fma-def`
878×	`associate-r`
686×	`associate-l`
664×	`*-commutative`
602×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	618	11642
1	1828	10356

Stop Event

1×	node limit

Counts

270 → 356

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

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

localize3.0ms (0%)

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n)))
✓	1.0b	(/.f64 (.f64 (log.f64 x) 1) (.f64 n n))
✓	3.0b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)

Compiler

Compiled 51 to 25 computations (51% saved)

series36.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
4.0ms	x	@	-inf	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
1.0ms	x	@	0	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
0.0ms	n	@	0	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
0.0ms	n	@	-inf	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`associate-/r/`
938×	`associate-/l/`
778×	`distribute-rgt-in`
750×	`distribute-lft-in`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	286	73
2	3995	73

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs

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simplify154.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-r`
816×	`+-commutative`
776×	`associate-/r*`
774×	`*-commutative`
722×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	12991
1	1820	11395
2	7971	11395

Stop Event

1×	node limit

Counts

293 → 348

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
✓	0.3b	(/.f64 (neg.f64 (log.f64 x)) n)
✓	0.6b	(pow.f64 (log.f64 x) 2)
	1.1b	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))

Compiler

Compiled 57 to 24 computations (57.9% saved)

series3.0ms (0%)

Counts

3 → 56

Calls

15 calls:

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

rewrite149.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`distribute-rgt-in`
596×	`associate-/r/`
552×	`distribute-lft-in`
466×	`associate-/l/`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	335	61
2	4887	61

Stop Event

1×	node limit

Counts

3 → 252

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (log.f64 (sqrt.f64 x))) (*.f64 (log.f64 x) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (log.f64 x) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 x)) (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 x)) (*.f64 (log.f64 (cbrt.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) 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 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) (-.f64 1 (*.f64 (log.f64 x) 2)))))) (#(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 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.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) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (log.f64 x) 2))))) (#(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 (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)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 n)) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 n) 0) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 n) (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 n) (/.f64 0 n)) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 n -1) 0) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 n -1) (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 n -1) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 n -1) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (pow.f64 n -1) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (pow.f64 n -1)) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 x)) (pow.f64 n -1)) (*.f64 (log.f64 (sqrt.f64 x)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 n -1)) (*.f64 (log.f64 (cbrt.f64 x)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (sqrt.f64 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)))))) (#(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 1 (neg.f64 n)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) n) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))))) (#(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)) n) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 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simplify174.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-r`
1188×	`associate-l`
658×	`*-commutative`
550×	`associate-/r*`
510×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	588	19512
1	1661	17344

Stop Event

1×	node limit

Counts

308 → 425

Calls

Call 1

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

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

localize119.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (+.f64 1 (/.f64 x n)) 2)
✓	0.6b	(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))
✓	16.3b	(+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))))))
✓	19.7b	(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))

Compiler

Compiled 285 to 167 computations (41.4% saved)

series30.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
4.0ms	n	@	-inf	(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
4.0ms	n	@	inf	(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
3.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
3.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`add-sqr-sqrt`
610×	`*-un-lft-identity`
606×	`pow1`
584×	`add-exp-log`
584×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	370
1	606	370

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (/.f64 1 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))) (/.f64 1 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (fma.f64 x (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 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simplify240.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1272×	`+-commutative`
1208×	`associate-+r+`
972×	`*-commutative`
888×	`associate-r`
838×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	912	37127
1	2954	36491

Stop Event

1×	node limit

Counts

215 → 351

Calls

Call 1

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

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

eval1.5s (5.7%)

Compiler: Compiled 84392 to 46823 computations (44.5% saved)

prune807.0ms (3.2%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	1668	14	1682
Fresh	7	26	33
Picked	1	0	1
Done	3	2	5
Total	1679	42	1721

Error

0.0b

Counts

1721 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	52.3b	(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
	47.5b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (log.f64 x) (pow.f64 n -2) (/.f64 1 n)) x)) 2)
	19.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	18.9b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	39.4b	(/.f64 (/.f64 1 x) n)
	39.4b	(/.f64 (/.f64 1 n) x)
	40.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	40.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	55.3b	(/.f64 (+.f64 1 (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
	45.6b	(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.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)))))
	29.6b	(/.f64 (.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 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)))))
▶	39.3b	(/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x)
▶	45.9b	(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 3 (/.f64 (log.f64 x) 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)))))
	30.2b	(/.f64 (.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (fma.f64 27/8 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 9/2 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))) (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) 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)))))
	45.6b	(/.f64 (.f64 (log.f64 (exp.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)))))
	58.6b	(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
	36.4b	(/.f64 (.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))
	40.5b	(/.f64 (neg.f64 (log.f64 x)) n)
	19.0b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	27.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	61.1b	(/.f64 x n)
	18.8b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
▶	40.0b	(/.f64 1 (*.f64 x n))
✓	50.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
	35.4b	(-.f64 (/.f64 (log1p.f64 x) n) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x))))
	30.2b	(-.f64 (/.f64 (log1p.f64 x) n) (.f64 (/.f64 1 n) (.f64 3 (log.f64 (cbrt.f64 x)))))
	41.0b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
	41.3b	(-.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (.f64 x x) n))) (/.f64 (log.f64 x) n))
	33.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	45.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	39.9b	(+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (*.f64 x n)))
	34.6b	(+.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)))
	41.3b	(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 (.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))))))
	41.5b	(+.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 (.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))))))
	61.8b	(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
	55.8b	(+.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)
	52.3b	(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6))
▶	40.9b	(.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) n)) -1))
	36.7b	(.f64 (/.f64 1 (.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
▶	18.8b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	60.1b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	33.7b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))

Compiler

Compiled 1750 to 1188 computations (32.1% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	3.8b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`associate-*r/`
1002×	`*-commutative`
852×	`associate-*l/`
574×	`distribute-lft-in`
560×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	223	21
2	2847	21

Stop Event

1×	node limit

Counts

1 → 152

Calls

Call 1

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

Outputs

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simplify117.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/l*`
630×	`times-frac`
600×	`distribute-lft-neg-in`
560×	`associate-/r*`
528×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	8982
1	1381	8538
2	6276	8518

Stop Event

1×	node limit

Counts

176 → 245

Calls

Call 1

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.2%)

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))))))))

simplify47.0ms (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 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n)))
	0.3b	(/.f64 (log.f64 x) n)
✓	3.0b	(/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`associate-/r/`
1036×	`associate-/l/`
728×	`distribute-rgt-in`
698×	`distribute-lft-in`
526×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	259	52
2	3712	52

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-/r/`
518×	`associate-/r*`
506×	`associate-r`
466×	`associate-l`
420×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	8089
1	1129	6993
2	4613	6987

Stop Event

1×	node limit

Counts

185 → 214

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) n)) -1))
	0.3b	(/.f64 (log.f64 x) n)

Compiler

Compiled 39 to 17 computations (56.4% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`associate-/r*`
942×	`associate-/l*`
706×	`distribute-rgt-in`
676×	`distribute-lft-in`
272×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	260	35
2	3454	35

Stop Event

1×	node limit

Counts

1 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1)) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1) 1) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (log.f64 x) n) (fma.f64 (/.f64 (log.f64 x) n) -1/2 -1)))) 1)))) (#(struct:change 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(/.f64 (log.f64 x) n) -1/2 -1)) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 1/4 (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 (/.f64 n (log.f64 x)) (fma.f64 (/.f64 (log.f64 x) n) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 1/4 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) -1/2 1) (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 1/4 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (/.f64 n (log.f64 x)) (/.f64 1 (fma.f64 (/.f64 (log.f64 x) n) -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 1/4 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (*.f64 (fma.f64 (/.f64 (log.f64 x) n) -1/2 1) n) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 1/4 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (*.f64 (fma.f64 (/.f64 (log.f64 x) n) -1/2 1) (/.f64 n (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 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simplify150.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1726×	`distribute-lft-in`
1704×	`distribute-rgt-in`
730×	`associate-/l*`
702×	`associate-/l/`
508×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	11409
1	1325	10873
2	5782	10867

Stop Event

1×	node limit

Counts

181 → 245

Calls

Call 1

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

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

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 x) n)
✓	0.3b	(*.f64 3 (/.f64 (log.f64 x) n))
✓	4.1b	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
	10.2b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 152 to 96 computations (36.8% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(*.f64 3 (/.f64 (log.f64 x) n))
0.0ms	x	@	-inf	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
0.0ms	x	@	inf	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
0.0ms	x	@	0	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
0.0ms	n	@	inf	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`associate-*r/`
1044×	`*-commutative`
884×	`associate-/r*`
812×	`associate-*l/`
644×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	242	42
2	2971	42

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(*.f64 3 (/.f64 (log.f64 x) n))

Outputs

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n))) (sqrt.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (*.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) -1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (log.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 x) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 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simplify206.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-/l*`
622×	`distribute-lft-neg-in`
588×	`associate-+l+`
584×	`distribute-rgt-neg-in`
562×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	10066
1	1362	9330
2	5471	9300

Stop Event

1×	node limit

Counts

208 → 302

Calls

Call 1

Inputs
(-.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))))
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(+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 1) (.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 1))
(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (log.f64 x) n) 6)))) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 x) n))))) 1)
(/.f64 1 (/.f64 n (*.f64 3 (log.f64 x))))
(/.f64 3 (/.f64 n (log.f64 x)))
(/.f64 (log.f64 x) (/.f64 n 3))
(/.f64 (*.f64 3 (/.f64 (log.f64 x) n)) 1)
(/.f64 (*.f64 3 (log.f64 x)) n)
(/.f64 (*.f64 3 (log.f64 x)) (/.f64 n 1))
(/.f64 (neg.f64 (log.f64 x)) (/.f64 (neg.f64 n) 3))
(/.f64 (sqrt.f64 (.f64 3 (log.f64 x))) (/.f64 n (sqrt.f64 (.f64 3 (log.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 x))) (cbrt.f64 (.f64 3 (log.f64 x)))) (/.f64 n (cbrt.f64 (.f64 3 (log.f64 x)))))
(/.f64 (*.f64 3 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x))))
(/.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x))))
(/.f64 (/.f64 3 n) (/.f64 1 (log.f64 x)))
(/.f64 (*.f64 3 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 n (log.f64 x))))
(/.f64 (*.f64 3 (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (/.f64 (log.f64 x) 1/3) n)
(/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (log.f64 x))) (sqrt.f64 n))
(/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) (cbrt.f64 n))
(/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (neg.f64 n))
(/.f64 (.f64 1 (.f64 3 (neg.f64 (log.f64 x)))) (neg.f64 n))
(/.f64 (*.f64 1 (/.f64 (log.f64 x) 1/3)) n)
(/.f64 (*.f64 1 (/.f64 3 (/.f64 (sqrt.f64 n) (log.f64 x)))) (sqrt.f64 n))
(/.f64 (*.f64 1 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)))) (cbrt.f64 n))
(/.f64 (.f64 1 (neg.f64 (.f64 3 (log.f64 x)))) (neg.f64 n))
(/.f64 (*.f64 3 (/.f64 (log.f64 x) 1)) n)
(/.f64 (*.f64 3 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (*.f64 3 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 -3 (neg.f64 (/.f64 n (log.f64 x))))
(/.f64 (*.f64 3 (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (neg.f64 n)))
(/.f64 (.f64 (sqrt.f64 (.f64 3 (/.f64 (log.f64 x) n))) (sqrt.f64 (*.f64 3 (log.f64 x)))) (sqrt.f64 n))
(/.f64 (.f64 (cbrt.f64 (.f64 9 (pow.f64 (/.f64 (log.f64 x) n) 2))) (cbrt.f64 (*.f64 3 (log.f64 x)))) (cbrt.f64 n))
(/.f64 (.f64 (.f64 3 (log.f64 x)) (/.f64 1 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (.f64 (.f64 3 (log.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (.f64 (.f64 3 (log.f64 x)) -1) (neg.f64 n))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (/.f64 (log.f64 x) n))) 1) (sqrt.f64 (/.f64 n (log.f64 x))))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (log.f64 x))) (sqrt.f64 n))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (neg.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 n)))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) 1) (cbrt.f64 (/.f64 n (log.f64 x))))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (log.f64 x))) (cbrt.f64 n))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (*.f64 (/.f64 3 (sqrt.f64 n)) (log.f64 x)) (sqrt.f64 n))
(/.f64 (*.f64 (/.f64 3 (pow.f64 (cbrt.f64 n) 2)) (log.f64 x)) (cbrt.f64 n))
(/.f64 (*.f64 (/.f64 (log.f64 x) 1) 3) n)
(/.f64 (*.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) 3) (sqrt.f64 n))
(/.f64 (*.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) 3) (cbrt.f64 n))
(/.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 x))) 3) (neg.f64 (neg.f64 n)))
(/.f64 (.f64 (.f64 3 (neg.f64 (log.f64 x))) 1) (neg.f64 n))
(/.f64 (*.f64 (/.f64 (log.f64 x) 1/3) 1) n)
(/.f64 (*.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (log.f64 x))) 1) (sqrt.f64 n))
(/.f64 (*.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) 1) (cbrt.f64 n))
(/.f64 (.f64 (neg.f64 (.f64 3 (log.f64 x))) 1) (neg.f64 n))
(/.f64 (.f64 1 (.f64 3 (sqrt.f64 (/.f64 (log.f64 x) n)))) (sqrt.f64 (/.f64 n (log.f64 x))))
(/.f64 (.f64 (sqrt.f64 (log.f64 x)) (.f64 3 (sqrt.f64 (/.f64 (log.f64 x) n)))) (sqrt.f64 n))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (.f64 3 (sqrt.f64 (/.f64 (log.f64 x) n)))) (sqrt.f64 (neg.f64 n)))
(/.f64 (.f64 (sqrt.f64 (.f64 3 (log.f64 x))) (sqrt.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) (sqrt.f64 n))
(/.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 x))) (cbrt.f64 (*.f64 9 (pow.f64 (/.f64 (log.f64 x) n) 2)))) (cbrt.f64 n))
(/.f64 (*.f64 3 (/.f64 (log.f64 x) (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 (*.f64 3 (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 3 (*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (cbrt.f64 (/.f64 n (log.f64 x))))) (cbrt.f64 (/.f64 n (log.f64 x))))
(/.f64 (/.f64 3 (/.f64 1 (sqrt.f64 (log.f64 x)))) (/.f64 n (sqrt.f64 (log.f64 x))))
(/.f64 (/.f64 3 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (/.f64 n (cbrt.f64 (log.f64 x))))
(/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) 1)) (/.f64 (sqrt.f64 n) (log.f64 x)))
(/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (sqrt.f64 (log.f64 x)))) (/.f64 (sqrt.f64 n) (sqrt.f64 (log.f64 x))))
(/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x))))
(/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1)) (/.f64 (cbrt.f64 n) (log.f64 x)))
(/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (log.f64 x)))) (/.f64 (cbrt.f64 n) (sqrt.f64 (log.f64 x))))
(/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (/.f64 (cbrt.f64 n) (cbrt.f64 (log.f64 x))))
(/.f64 (/.f64 (*.f64 3 (neg.f64 (log.f64 x))) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 3 (neg.f64 (log.f64 x))) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 3 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 3 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 3 (neg.f64 (log.f64 x))) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 3 (neg.f64 (log.f64 x))) -1) n)
(/.f64 (/.f64 (*.f64 3 (neg.f64 (log.f64 x))) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 3 (neg.f64 (log.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 (log.f64 x) 1/3) 1) n)
(/.f64 (/.f64 (/.f64 (log.f64 x) 1/3) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (log.f64 x))) 1) (sqrt.f64 n))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (log.f64 x))) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (log.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 n) 2))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 n) (log.f64 x))) (sqrt.f64 (sqrt.f64 n))) (sqrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) 1) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) 1) (neg.f64 n))
(/.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (neg.f64 (.f64 3 (log.f64 x))) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) -1) n)
(/.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (neg.f64 (*.f64 3 (log.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(pow.f64 (*.f64 3 (/.f64 (log.f64 x) n)) 1)
(pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 3)
(pow.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 x) n)) 3) 1/3)
(sqrt.f64 (*.f64 9 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(log.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))
(cbrt.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(exp.f64 (log.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(log1p.f64 (expm1.f64 (*.f64 3 (/.f64 (log.f64 x) n))))

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

eval768.0ms (3%)

Compiler: Compiled 44501 to 24785 computations (44.3% saved)

prune579.0ms (2.3%)

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	1499	13	1512
Fresh	10	25	35
Picked	0	1	1
Done	2	4	6
Total	1511	43	1554

Error

0.0b

Counts

1554 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	52.3b	(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
	19.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	18.9b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	51.0b	(/.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) n) -1/2 -1) (sqrt.f64 n)) (/.f64 (sqrt.f64 n) (log.f64 x)))
	39.3b	(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x)
	39.4b	(/.f64 (/.f64 1 x) n)
	18.8b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	39.4b	(/.f64 (/.f64 1 n) x)
	40.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	40.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	39.8b	(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 n x))
	55.3b	(/.f64 (+.f64 1 (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
	32.4b	(/.f64 (.f64 (/.f64 (expm1.f64 (/.f64 (log.f64 x) (/.f64 n 6))) (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 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)))))
	37.4b	(/.f64 (.f64 (/.f64 -3 (/.f64 n (log.f64 x))) 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)))))
✓	45.9b	(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 3 (/.f64 (log.f64 x) 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)))))
	45.8b	(/.f64 (.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) 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)))))
	45.9b	(/.f64 (.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) 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)))))
	58.6b	(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
	36.4b	(/.f64 (.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))
	40.5b	(/.f64 (neg.f64 (log.f64 x)) n)
	19.0b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	27.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	61.1b	(/.f64 x n)
	18.8b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
✓	40.0b	(/.f64 1 (*.f64 x n))
✓	50.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
	30.2b	(-.f64 (/.f64 (log1p.f64 x) n) (.f64 (/.f64 1 n) (.f64 3 (log.f64 (cbrt.f64 x)))))
	41.0b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
	41.3b	(-.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (.f64 x x) n))) (/.f64 (log.f64 x) n))
	45.7b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	33.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	45.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	34.6b	(+.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)))
	61.8b	(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
	55.8b	(+.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)
	52.3b	(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6))
	39.2b	(*.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x) (/.f64 1 n))
✓	40.9b	(.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) n)) -1))
	39.5b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	40.6b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	60.1b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	33.7b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))

Compiler

Compiled 720 to 506 computations (29.7% saved)

regimes471.0ms (1.8%)

Counts

80 → 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 1 (*.f64 x n))) 1)
(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 n x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x)
(*.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x) (/.f64 1 n))
(/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x)
(+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (*.f64 x n)))
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
(-.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (.f64 x x) n))) (/.f64 (log.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)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 1 (.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) n)) -1))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (.f64 x x)) (+.f64 (/.f64 (/.f64 (.f64 (log.f64 x) 1) (.f64 n n)) x) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 (log1p.f64 x) n) (.f64 (/.f64 1 n) (.f64 3 (log.f64 (cbrt.f64 x)))))
(-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(/.f64 (+.f64 1 (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
(/.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)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(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)
(log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(+.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 -3 (/.f64 n (log.f64 x))) 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 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (log.f64 x) (pow.f64 n -2) (/.f64 1 n)) x)) 2)
(/.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) n) -1/2 -1) (sqrt.f64 n)) (/.f64 (sqrt.f64 n) (log.f64 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 1 (exp.f64 (.f64 3 (/.f64 (log.f64 x) 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 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 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 (-.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)))))
(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)
(-.f64 (/.f64 (log1p.f64 x) n) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (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))))
(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 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(/.f64 (.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) 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 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) 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 (log.f64 (exp.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 (/.f64 (expm1.f64 (/.f64 (log.f64 x) (/.f64 n 6))) (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 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 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.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 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 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 (.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 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (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 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (+.f64 (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log1p.f64 x) 3))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (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 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(/.f64 (.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (fma.f64 27/8 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 9/2 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))) (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) 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)))))

Outputs

(/.f64 (*.f64 (/.f64 (expm1.f64 (/.f64 (log.f64 x) (/.f64 n 6))) (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

4 calls:

185.0ms	n
171.0ms	(/.f64 1 n)
68.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
2.2b	2	`x`
7.9b	6	`n`
13.1b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
7.9b	5	`(/.f64 1 n)`

Compiler

Compiled 1735 to 964 computations (44.4% saved)

bsearch51.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	0.06230238027954	2.349929712275385

Results

25.0ms	64×	body	1024	valid
10.0ms	49×	body	256	infinite
6.0ms	9×	body	2048	valid
5.0ms	19×	body	512	valid
3.0ms	20×	body	256	valid

Compiler

Compiled 426 to 316 computations (25.8% saved)

regimes449.0ms (1.8%)

Counts

70 → 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 1 (*.f64 x n))) 1)
(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 n x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x)
(*.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x) (/.f64 1 n))
(/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x)
(+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (*.f64 x n)))
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
(-.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (.f64 x x) n))) (/.f64 (log.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)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 1 (.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) n)) -1))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (.f64 x x)) (+.f64 (/.f64 (/.f64 (.f64 (log.f64 x) 1) (.f64 n n)) x) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 (log1p.f64 x) n) (.f64 (/.f64 1 n) (.f64 3 (log.f64 (cbrt.f64 x)))))
(-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(/.f64 (+.f64 1 (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
(/.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)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(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)
(log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(+.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 -3 (/.f64 n (log.f64 x))) 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 (/.f64 x n)) 2) (.f64 (-.f64 (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (log.f64 x) (pow.f64 n -2) (/.f64 1 n)) x)) 2)
(/.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) n) -1/2 -1) (sqrt.f64 n)) (/.f64 (sqrt.f64 n) (log.f64 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 1 (exp.f64 (.f64 3 (/.f64 (log.f64 x) 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 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 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 (-.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)))))
(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)
(-.f64 (/.f64 (log1p.f64 x) n) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (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))))
(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 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(/.f64 (.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) 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 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) 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 (log.f64 (exp.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)))))

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

Calls

4 calls:

169.0ms	n
137.0ms	(/.f64 1 n)
112.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
5.5b	4	`x`
8.0b	6	`n`
13.1b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
8.0b	5	`(/.f64 1 n)`

Compiler

Compiled 1191 to 621 computations (47.9% saved)

bsearch204.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
45.0ms	2.349929712275385	43303663.77664941
69.0ms	1.1017677633784835e-285	3.399665888759872e-285
89.0ms	1.2223867514443064e-295	8.00371081427962e-295

Results

118.0ms	140×	body	1024	valid
34.0ms	85×	body	512	valid
19.0ms	13×	body	2048	valid
16.0ms	82×	body	256	valid
11.0ms	44×	body	256	infinite
2.0ms	13×	body	256	unsamplable

Compiler

Compiled 490 to 353 computations (28% saved)

regimes225.0ms (0.9%)

Counts

34 → 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 1 (*.f64 x n))) 1)
(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 n x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x)
(*.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x) (/.f64 1 n))
(/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x)
(+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (*.f64 x n)))
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
(-.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (.f64 x x) n))) (/.f64 (log.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)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))

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

Calls

3 calls:

85.0ms	n
72.0ms	(/.f64 1 n)
60.0ms	x

Results

Error	Segments	Branch
5.5b	4	`x`
8.9b	6	`n`
8.9b	5	`(/.f64 1 n)`

Compiler

Compiled 340 to 158 computations (53.5% saved)

bsearch377.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
49.0ms	2.349929712275385	43303663.77664941
108.0ms	1.1017677633784835e-285	3.399665888759872e-285
219.0ms	1.2223867514443064e-295	8.00371081427962e-295

Results

296.0ms	141×	body	1024	valid
31.0ms	81×	body	512	valid
17.0ms	14×	body	2048	valid
15.0ms	84×	body	256	valid
8.0ms	35×	body	256	infinite
6.0ms	23×	body	256	unsamplable

Compiler

Compiled 454 to 323 computations (28.9% saved)

regimes321.0ms (1.3%)

Counts

31 → 6

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

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

Calls

3 calls:

113.0ms	x
106.0ms	(/.f64 1 n)
93.0ms	n

Results

Error	Segments	Branch
12.2b	5	`x`
9.9b	7	`n`
9.9b	6	`(/.f64 1 n)`

Compiler

Compiled 309 to 152 computations (50.8% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	0.00013201447426190594	0.07893027780213614
0.0ms	2.881105345052173e-57	1.1962799279751376e-55
0.0ms	6.3426532539945e-91	4.289600383528627e-89
0.0ms	-1.8736687734764786e-74	-1.7926054071427145e-74
0.0ms	-29433308.94056792	-4.892727355151608e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes250.0ms (1%)

Counts

26 → 6

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

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

Calls

3 calls:

97.0ms	(/.f64 1 n)
82.0ms	n
63.0ms	x

Results

Error	Segments	Branch
12.2b	5	`x`
9.9b	7	`n`
9.9b	6	`(/.f64 1 n)`

Compiler

Compiled 268 to 139 computations (48.1% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	0.00013201447426190594	0.07893027780213614
0.0ms	2.881105345052173e-57	1.1962799279751376e-55
0.0ms	6.3426532539945e-91	4.289600383528627e-89
0.0ms	-1.8736687734764786e-74	-1.7926054071427145e-74
0.0ms	-29433308.94056792	-4.892727355151608e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes197.0ms (0.8%)

Counts

25 → 7

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

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

Calls

3 calls:

85.0ms	n
70.0ms	(/.f64 1 n)
36.0ms	x

Results

Error	Segments	Branch
13.6b	3	`x`
10.5b	7	`n`
10.6b	6	`(/.f64 1 n)`

Compiler

Compiled 261 to 136 computations (47.9% saved)

bsearch667.0ms (2.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
201.0ms	1.4698062610707025e+85	2.3312194857120924e+88
47.0ms	8.359247502318563e+54	3.470890093336352e+56
41.0ms	12.66940935526438	7574.926958509729
316.0ms	4.664358580991706e-164	7.887972057834834e-146
52.0ms	-20438498.355055258	-3.397511309446082e-8
10.0ms	-5.578472518354883e+73	-5.337122623571085e+73

Results

224.0ms	298×	body	1024	valid
146.0ms	65×	body	2048	valid
99.0ms	139×	body	512	valid
84.0ms	460×	body	256	unsamplable
51.0ms	99×	body	512	infinite
36.0ms	202×	body	256	valid
15.0ms	68×	body	256	infinite

Compiler

Compiled 1257 to 902 computations (28.2% saved)

regimes208.0ms (0.8%)

Counts

23 → 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 1 (*.f64 x n))) 1)
(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 n x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x)
(*.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x) (/.f64 1 n))
(/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x)
(+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (*.f64 x n)))
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) 1) (.f64 n n))) x)
(-.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (.f64 x x) n))) (/.f64 (log.f64 x) n))

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

Calls

3 calls:

97.0ms	(/.f64 1 n)
53.0ms	x
53.0ms	n

Results

Error	Segments	Branch
13.6b	3	`x`
14.7b	5	`n`
14.7b	5	`(/.f64 1 n)`

Compiler

Compiled 233 to 120 computations (48.5% saved)

bsearch98.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	1.5457379953739622e+139	3.0632072896628536e+139
28.0ms	6.359965162032637e+28	1.5451967629261262e+29

Results

58.0ms	29×	body	2048	valid
23.0ms	59×	body	1024	valid
6.0ms	38×	body	256	valid
5.0ms	18×	body	512	valid
2.0ms	9×	body	256	unsamplable
0.0ms	2×	body	256	infinite

Compiler

Compiled 254 to 186 computations (26.8% saved)

regimes162.0ms (0.6%)

Counts

18 → 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 1 (*.f64 x n))) 1)
(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 n x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x)

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

Calls

3 calls:

81.0ms	n
46.0ms	(/.f64 1 n)
32.0ms	x

Results

Error	Segments	Branch
13.6b	3	`x`
14.7b	5	`n`
14.7b	5	`(/.f64 1 n)`

Compiler

Compiled 165 to 91 computations (44.8% saved)

bsearch62.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.5457379953739622e+139	3.0632072896628536e+139
29.0ms	6.359965162032637e+28	1.5451967629261262e+29

Results

23.0ms	58×	body	1024	valid
20.0ms	32×	body	2048	valid
9.0ms	38×	body	256	valid
4.0ms	16×	body	512	valid
2.0ms	12×	body	256	unsamplable
0.0ms	1×	body	512	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 236 to 168 computations (28.8% saved)

regimes174.0ms (0.7%)

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

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

Calls

3 calls:

74.0ms	(/.f64 1 n)
71.0ms	n
24.0ms	x

Results

Error	Segments	Branch
13.7b	3	`x`
14.8b	5	`n`
14.8b	5	`(/.f64 1 n)`

Compiler

Compiled 155 to 87 computations (43.9% saved)

bsearch122.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	1.5457379953739622e+139	3.0632072896628536e+139
52.0ms	6.359965162032637e+28	1.5451967629261262e+29

Results

62.0ms	66×	body	1024	valid
28.0ms	26×	body	256	valid
23.0ms	36×	body	2048	valid
4.0ms	16×	body	512	valid
2.0ms	9×	body	256	unsamplable

Compiler

Compiled 191 to 141 computations (26.2% saved)

regimes331.0ms (1.3%)

Counts

14 → 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 1 (*.f64 x n))) 1)
(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))

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

Calls

3 calls:

158.0ms	(/.f64 1 n)
123.0ms	n
46.0ms	x

Results

Error	Segments	Branch
16.3b	3	`x`
29.0b	7	`n`
27.6b	9	`(/.f64 1 n)`

Compiler

Compiled 128 to 70 computations (45.3% saved)

bsearch183.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	1.259206278333997e+177	9.555158720477231e+179
85.0ms	0.06230238027954	2.349929712275385

Results

69.0ms	93×	body	1024	valid
45.0ms	26×	body	512	valid
41.0ms	61×	body	2048	valid
16.0ms	60×	body	256	valid
4.0ms	23×	body	256	unsamplable
3.0ms	18×	body	256	infinite

Compiler

Compiled 389 to 287 computations (26.2% saved)

regimes296.0ms (1.2%)

Counts

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

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

Calls

3 calls:

128.0ms	n
110.0ms	(/.f64 1 n)
22.0ms	x

Results

Error	Segments	Branch
16.4b	3	`x`
29.2b	7	`n`
27.8b	9	`(/.f64 1 n)`

Compiler

Compiled 115 to 65 computations (43.5% saved)

bsearch159.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
94.0ms	1.259206278333997e+177	9.555158720477231e+179
65.0ms	0.06230238027954	2.349929712275385

Results

56.0ms	79×	body	2048	valid
35.0ms	90×	body	1024	valid
28.0ms	38×	body	256	infinite
22.0ms	42×	body	256	valid
7.0ms	29×	body	512	valid
3.0ms	12×	body	256	unsamplable
1.0ms	1×	body	1024	infinite

Compiler

Compiled 382 to 287 computations (24.9% saved)

regimes52.0ms (0.2%)

Counts

11 → 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 1 (*.f64 x n))) 1)
(/.f64 (.f64 x (.f64 x 1/2)) (*.f64 n n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))

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

Calls

3 calls:

20.0ms	n
16.0ms	(/.f64 1 n)
13.0ms	x

Results

Error	Segments	Branch
37.2b	2	`x`
34.4b	3	`n`
34.4b	2	`(/.f64 1 n)`

Compiler

Compiled 110 to 62 computations (43.6% saved)

bsearch44.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	-6.8260191673092385e-258	-2.4157432557202028e-263
25.0ms	-3.397511309446082e-8	-1.7196895084286086e-8

Results

21.0ms	86×	body	256	infinite
21.0ms	112×	body	256	valid

Compiler

Compiled 160 to 127 computations (20.6% saved)

regimes16.0ms (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 n) x)

Calls

3 calls:

6.0ms	(/.f64 1 n)
4.0ms	x
4.0ms	n

Results

Error	Segments	Branch
39.4b	1	`x`
39.4b	1	`n`
39.4b	1	`(/.f64 1 n)`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes9.0ms (0%)

Accuracy

Total -21.5b remaining (-53.7%)

Threshold costs -21.5b (-53.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	n
3.0ms	x

Results

Error	Segments	Branch
40.0b	1	`x`
40.0b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative`
30×	`sub-neg`
24×	`*-commutative`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1581
1	214	1581
2	236	1581
3	247	1581
4	252	1581

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1261007895663739/2251799813685248) (/.f64 (.f64 (/.f64 (expm1.f64 (/.f64 (log.f64 x) (/.f64 n 6))) (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912) (/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) (if (<=.f64 x 6000448200243097/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 48000) (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 6000448200243097/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 8500) (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) -2291665473376297/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x) (if (<=.f64 (/.f64 1 n) 4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))))
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -2291665473376297/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x) (if (<=.f64 (/.f64 1 n) 4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))))
(if (<=.f64 n -53999999999999998142254366619909478518300619818547181722574336008055160832) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -450) (/.f64 (.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x) (if (<=.f64 n 6279873474903045/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 7500) (+.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) (if (<=.f64 n 330000000000000002016442649051068025524546378738643763200) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))))
(if (<=.f64 x 65000000000000000588813172736) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 27999999999999998275339874536743534403975119726984968160726044078120039054570882777608871892330984254393744375099888805837309637664488554496) (*.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x) (/.f64 1 n)) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (<=.f64 x 65000000000000000588813172736) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 24000000000000000788197499740918225895688301592630680692295522230209928165570911893056031575065457904414788114823738453887563775221075804160) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (<=.f64 x 65000000000000000588813172736) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 29999999999999999663134937095650584465779760925246271208560036859199971637666049317508456996209130730140064264099103372177030668979628146688) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 750000000000000006936409514918698833424657756243159961930641041475054879281088791981341181481876654902061407783255741857770348564663598424280406747485469034524958727279878567100416) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000031820557346958184002327856983926896402524994564907549341898581001615640576248394992242766096044045128294104170625534207701581504084279075184788545447250818456616960) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 n -4986819005910345/151115727451828646838272) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 x 1261007895663739/2251799813685248) (/.f64 (.f64 (/.f64 (expm1.f64 (/.f64 (log.f64 x) (/.f64 n 6))) (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 1261007895663739/2251799813685248) (/.f64 (/.f64 (expm1.f64 (/.f64 (log.f64 x) (/.f64 n 6))) (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 (pow.f64 (.f64 x (+.f64 x 1)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))
(if (<=.f64 x 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912) (/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) (if (<=.f64 x 6000448200243097/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 48000) (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 6000448200243097/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 8500) (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) -2291665473376297/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x) (if (<=.f64 (/.f64 1 n) 4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))))
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -2291665473376297/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 (*.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x) (if (<=.f64 (/.f64 1 n) 4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))))
(if (<=.f64 n -53999999999999998142254366619909478518300619818547181722574336008055160832) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -450) (/.f64 (.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x) (if (<=.f64 n 6279873474903045/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 7500) (+.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) (if (<=.f64 n 330000000000000002016442649051068025524546378738643763200) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))))
(if (<=.f64 n -53999999999999998142254366619909478518300619818547181722574336008055160832) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -450) (/.f64 (.f64 (/.f64 1 n) (+.f64 1 (/.f64 (log.f64 x) n))) x) (if (<=.f64 n 6279873474903045/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 7500) (+.f64 1 (-.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (*.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (if (or (<=.f64 n 330000000000000002016442649051068025524546378738643763200) (not (<=.f64 n 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (/.f64 1 n) x))))))
(if (<=.f64 x 65000000000000000588813172736) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 27999999999999998275339874536743534403975119726984968160726044078120039054570882777608871892330984254393744375099888805837309637664488554496) (*.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x) (/.f64 1 n)) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (or (<=.f64 x 65000000000000000588813172736) (not (<=.f64 x 27999999999999998275339874536743534403975119726984968160726044078120039054570882777608871892330984254393744375099888805837309637664488554496))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1 n) (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) x)))
(if (<=.f64 x 65000000000000000588813172736) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 24000000000000000788197499740918225895688301592630680692295522230209928165570911893056031575065457904414788114823738453887563775221075804160) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) n) x) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (or (<=.f64 x 65000000000000000588813172736) (not (<=.f64 x 24000000000000000788197499740918225895688301592630680692295522230209928165570911893056031575065457904414788114823738453887563775221075804160))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 x) n)) n) x))
(if (<=.f64 x 65000000000000000588813172736) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 29999999999999999663134937095650584465779760925246271208560036859199971637666049317508456996209130730140064264099103372177030668979628146688) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (or (<=.f64 x 65000000000000000588813172736) (not (<=.f64 x 29999999999999999663134937095650584465779760925246271208560036859199971637666049317508456996209130730140064264099103372177030668979628146688))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (/.f64 1 n) x))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 750000000000000006936409514918698833424657756243159961930641041475054879281088791981341181481876654902061407783255741857770348564663598424280406747485469034524958727279878567100416) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 750000000000000006936409514918698833424657756243159961930641041475054879281088791981341181481876654902061407783255741857770348564663598424280406747485469034524958727279878567100416) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) n) (+.f64 (+.f64 1 (/.f64 1 (.f64 x n))) -1)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 750000000000000006936409514918698833424657756243159961930641041475054879281088791981341181481876654902061407783255741857770348564663598424280406747485469034524958727279878567100416) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n) (+.f64 -1 (+.f64 1 (/.f64 1 (.f64 x n))))))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000031820557346958184002327856983926896402524994564907549341898581001615640576248394992242766096044045128294104170625534207701581504084279075184788545447250818456616960) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000031820557346958184002327856983926896402524994564907549341898581001615640576248394992242766096044045128294104170625534207701581504084279075184788545447250818456616960) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) n) (+.f64 (+.f64 1 (/.f64 1 (.f64 x n))) -1)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000031820557346958184002327856983926896402524994564907549341898581001615640576248394992242766096044045128294104170625534207701581504084279075184788545447250818456616960) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n) (+.f64 -1 (+.f64 1 (/.f64 1 (.f64 x n))))))
(if (<=.f64 n -4986819005910345/151115727451828646838272) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4986819005910345/151115727451828646838272) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) -1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4986819005910345/151115727451828646838272) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -8863311460481781/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 x n)))) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Compiler

Compiled 602 to 399 computations (33.7% saved)

soundness1.0s (4%)

Algorithm

11×	egg-herbie

Rules

1610×	`associate-+r+`
1348×	`associate-+r+`
1348×	`associate-+r+`
1348×	`associate-+r+`
1348×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	13248
1	1288	12594
2	5562	12586
0	529	10066
1	1362	9330
2	5471	9300
0	448	13248
1	1288	12594
2	5562	12586
0	448	13248
1	1288	12594
2	5562	12586
0	449	9154
1	1298	8822
2	6780	8798
0	448	13248
1	1288	12594
2	5562	12586
0	892	38540
1	2670	35816
0	449	9154
1	1298	8822
2	6780	8798
0	449	9154
1	1298	8822
2	6780	8798
0	449	9154
1	1298	8822
2	6780	8798
0	448	13248
1	1288	12594
2	5562	12586

Stop Event

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

Compiler

Compiled 1560 to 1056 computations (32.3% saved)

end307.0ms (1.2%)

Compiler: Compiled 574 to 333 computations (42% saved)