Details

analyze274.0ms (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)

sample7.6s (30.2%)

Results

2.1s	2826×	body	1024	valid
1.6s	1812×	body	2048	valid
1.3s	1402×	body	1024	invalid
805.0ms	1219×	body	512	valid
554.0ms	2399×	body	256	valid
399.0ms	786×	body	512	invalid
205.0ms	728×	body	256	infinite
203.0ms	1271×	body	256	invalid
180.0ms	178×	body	1024	infinite
111.0ms	229×	body	512	infinite
79.0ms	338×	body	256	unsamplable
11.0ms	9×	body	2048	invalid

Bogosity

preprocess64.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

series65.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
16.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
6.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite86.0ms (0.3%)

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))))))))

simplify138.0ms (0.5%)

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)

prune95.0ms (0.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	245	16	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	246	16	262

Error

0.7b

Counts

262 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	26.4b	(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)))))))
▶	41.6b	(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))))
	41.7b	(/.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))))
▶	17.4b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	41.6b	(/.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)))))
	29.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	22.7b	(-.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)))
▶	48.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
	48.2b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
▶	55.3b	(-.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)))
	31.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	41.4b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	35.5b	(+.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)))))))
	33.1b	(+.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)))
	41.6b	(.f64 (/.f64 (sqrt.f64 (-.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))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	31.4b	(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))

Compiler

Compiled 980 to 662 computations (32.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	2.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series59.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
21.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite83.0ms (0.3%)

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)))))))

simplify143.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

202 → 278

Calls

Call 1

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

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (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)))))

simplify91.0ms (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)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/2 (*.f64 n n))
✓	1.4b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
✓	3.4b	(+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
✓	8.6b	(.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))

Compiler

Compiled 105 to 46 computations (56.2% saved)

series12.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite129.0ms (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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(/.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 1 (/.f64 (+.f64 1 (-.f64 (/.f64 x n) (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)))) (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) (+.f64 1 (/.f64 x n))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (+.f64 1 (-.f64 (/.f64 x n) (.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 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simplify191.0ms (0.8%)

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

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))))
✓	0.0b	(pow.f64 x (/.f64 2 n))
✓	0.3b	(-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))
✓	12.1b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 160 to 111 computations (30.6% saved)

series22.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite110.0ms (0.4%)

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)))
(pow.f64 x (/.f64 2 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))))

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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simplify189.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-+r-`
1074×	`fma-def`
902×	`+-commutative`
788×	`associate-+r+`
600×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	698	19969
1	1971	18841
2	7713	18815

Stop Event

1×	node limit

Counts

239 → 391

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

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

localize109.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 3 n))
	0.0b	(pow.f64 x (/.f64 2 n))
✓	0.3b	(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3))
	12.1b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 325 to 232 computations (28.6% saved)

series52.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3))
6.0ms	x	@	inf	(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3))
3.0ms	n	@	inf	(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3))
2.0ms	n	@	-inf	(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3))
1.0ms	x	@	0	(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`associate-*l/`
750×	`associate-/r*`
390×	`associate-/l*`
344×	`add-sqr-sqrt`
328×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	350	44
2	4555	44

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 n 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (neg.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 n) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 3 n)) 2) (sqrt.f64 (*.f64 n 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 n 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 3 (sqrt.f64 n)) 2) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 3 (pow.f64 (cbrt.f64 n) 2)) 2) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (sqrt.f64 n)) 1) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) 1) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 6) (sqrt.f64 (/.f64 6 n))) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sqrt.f64 (/.f64 3 n)) 2)) (sqrt.f64 (*.f64 n 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 (/.f64 3 n)) 2)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 (/.f64 3 n)) 2)) (sqrt.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 6) (pow.f64 (cbrt.f64 (/.f64 6 n)) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (*.f64 (cbrt.f64 (*.f64 n 1/3)) (cbrt.f64 (*.f64 n 1/3)))) (cbrt.f64 (*.f64 n 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -6 (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -6 (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -6 (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -6 (*.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 -6 (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -6 (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) 1) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) (sqrt.f64 (sqrt.f64 n))) (sqrt.f64 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) (sqrt.f64 (pow.f64 (cbrt.f64 n) 2))) (sqrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) 1) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 n)))))))

simplify149.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-+r+`
1080×	`associate-/l*`
1048×	`+-commutative`
930×	`associate-r`
806×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	845	23509
1	2666	23377

Stop Event

1×	node limit

Counts

197 → 322

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 3))
(-.f64 (+.f64 1 (.f64 9 (/.f64 x n))) (pow.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) 3))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 81/2 (/.f64 1 (pow.f64 n 2))) (.f64 9/2 (/.f64 1 n))) (pow.f64 x 2)) (.f64 9 (/.f64 x n)))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 3))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 81/2 (/.f64 1 (pow.f64 n 2))) (.f64 9/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 (.f64 9 (/.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 3 (/.f64 1 n)) (+.f64 (.f64 9 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 3 (/.f64 (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n))) n)) (.f64 12 (/.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) n)))))) (.f64 27/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (pow.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) 3))
(/.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) n)) (.f64 6 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) n))) x)
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(/.f64 (/.f64 2 n) 1/3)
(/.f64 (.f64 (sqrt.f64 (/.f64 3 n)) 2) (sqrt.f64 (.f64 n 1/3)))
(/.f64 -6 (neg.f64 n))
(/.f64 (/.f64 6 (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 -2 (neg.f64 (*.f64 n 1/3)))
(/.f64 (*.f64 (/.f64 3 (sqrt.f64 n)) 2) (sqrt.f64 n))
(/.f64 (*.f64 (/.f64 3 (pow.f64 (cbrt.f64 n) 2)) 2) (cbrt.f64 n))
(/.f64 (*.f64 (/.f64 6 (sqrt.f64 n)) 1) (sqrt.f64 n))
(/.f64 (*.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) 1) (cbrt.f64 n))
(/.f64 (*.f64 (sqrt.f64 6) (sqrt.f64 (/.f64 6 n))) (sqrt.f64 n))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (/.f64 3 n)) 2)) (sqrt.f64 (*.f64 n 1/3)))
(/.f64 (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 (/.f64 3 n)) 2)) (sqrt.f64 n))
(/.f64 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 (/.f64 3 n)) 2)) (sqrt.f64 (neg.f64 n)))
(/.f64 (*.f64 (cbrt.f64 6) (pow.f64 (cbrt.f64 (/.f64 6 n)) 2)) (cbrt.f64 n))
(/.f64 (/.f64 2 (.f64 (cbrt.f64 (.f64 n 1/3)) (cbrt.f64 (.f64 n 1/3)))) (cbrt.f64 (.f64 n 1/3)))
(/.f64 (/.f64 6 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 -6 (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 -6 (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 -6 (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 -6 (*.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 -6 (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 -6 (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) 1) (sqrt.f64 n))
(/.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) (sqrt.f64 (sqrt.f64 n))) (sqrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 6 (sqrt.f64 n)) (sqrt.f64 (pow.f64 (cbrt.f64 n) 2))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) 1) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n)))
(pow.f64 (/.f64 6 n) 1)
(pow.f64 (sqrt.f64 (/.f64 6 n)) 2)
(pow.f64 (cbrt.f64 (/.f64 6 n)) 3)
(pow.f64 (pow.f64 (/.f64 6 n) 3) 1/3)
(sqrt.f64 (/.f64 36 (*.f64 n n)))
(log.f64 (exp.f64 (/.f64 6 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 n))))
(cbrt.f64 (pow.f64 (/.f64 6 n) 3))
(expm1.f64 (log1p.f64 (/.f64 6 n)))
(exp.f64 (log.f64 (/.f64 6 n)))
(exp.f64 (*.f64 (log.f64 (/.f64 6 n)) 1))
(log1p.f64 (expm1.f64 (/.f64 6 n)))

Outputs
(-.f64 1 (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 3))
(-.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) 3))
(-.f64 (+.f64 1 (.f64 9 (/.f64 x n))) (pow.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) 3))
(+.f64 1 (-.f64 (/.f64 (*.f64 9 x) n) (pow.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) 3)))
(+.f64 1 (-.f64 (*.f64 9 (/.f64 x n)) (pow.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) 3)))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 81/2 (/.f64 1 (pow.f64 n 2))) (.f64 9/2 (/.f64 1 n))) (pow.f64 x 2)) (.f64 9 (/.f64 x n)))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 3))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 81/2 (.f64 n n)) (/.f64 9/2 n)) (.f64 x x) (/.f64 (*.f64 9 x) n)) (pow.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) 3)))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 81/2 (.f64 n n)) (/.f64 -9/2 n)) (.f64 x x) (*.f64 9 (/.f64 x n))) (pow.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) 3)))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 81/2 (/.f64 1 (pow.f64 n 2))) (.f64 9/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 (.f64 9 (/.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 3 (/.f64 1 n)) (+.f64 (.f64 9 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 3 (/.f64 (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n))) n)) (.f64 12 (/.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) n)))))) (.f64 27/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (pow.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) 3))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 81/2 (.f64 n n)) (/.f64 9/2 n)) (.f64 x x) (fma.f64 9 (/.f64 x n) (.f64 (+.f64 (/.f64 3 n) (-.f64 (+.f64 (/.f64 9 (pow.f64 n 3)) (+.f64 (/.f64 9/2 (pow.f64 n 3)) (fma.f64 3 (/.f64 (-.f64 (/.f64 18 (.f64 n n)) (/.f64 3 n)) n) (.f64 12 (/.f64 (-.f64 (/.f64 9/2 (.f64 n n)) (/.f64 3/2 n)) n))))) (/.f64 27/2 (*.f64 n n)))) (pow.f64 x 3)))) (pow.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) 3)))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 81/2 (.f64 n n)) (/.f64 -9/2 n)) (.f64 x x) (fma.f64 9 (/.f64 x n) (.f64 (+.f64 (+.f64 (fma.f64 3 (/.f64 (+.f64 (/.f64 (/.f64 18 n) n) (/.f64 -3 n)) n) (.f64 12 (-.f64 (/.f64 9/2 (pow.f64 n 3)) (/.f64 (/.f64 3/2 n) n)))) (+.f64 (/.f64 9 (pow.f64 n 3)) (/.f64 9/2 (pow.f64 n 3)))) (+.f64 (/.f64 3 n) (/.f64 -27/2 (*.f64 n n)))) (pow.f64 x 3)))) (pow.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) 3)))
(/.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) n)) (.f64 6 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) n))) x)
(/.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) n) 9) x)
(/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) n) (/.f64 x 9))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3)) (pow.f64 x 2)) (+.f64 (.f64 6 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 n x))) (+.f64 (.f64 3 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 n x))) (+.f64 (.f64 18 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2))) (.f64 9 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2)))) (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2))))))
(+.f64 (/.f64 (-.f64 (/.f64 9/2 (.f64 n n)) (/.f64 3/2 n)) (/.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3))) (fma.f64 6 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) (.f64 x n)) (fma.f64 3 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) (.f64 x n)) (fma.f64 18 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) (.f64 (.f64 n n) (.f64 x x))) (/.f64 (fma.f64 2 (.f64 (-.f64 (/.f64 9/2 (.f64 n n)) (/.f64 3/2 n)) (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 2)) (/.f64 (.f64 9 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 2)) (.f64 n n))) (/.f64 (.f64 x x) (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))))))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) (/.f64 (.f64 x x) (+.f64 (/.f64 9/2 (.f64 n n)) (/.f64 -3/2 n)))) (fma.f64 6 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) (.f64 x n)) (fma.f64 3 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) (.f64 x n)) (fma.f64 18 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) (.f64 (.f64 n n) (.f64 x x))) (/.f64 (fma.f64 2 (.f64 (+.f64 (/.f64 9/2 (.f64 n n)) (/.f64 -3/2 n)) (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 2)) (/.f64 9 (/.f64 (.f64 n n) (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 2)))) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 -3) (/.f64 (neg.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 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3)) (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 n x))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 6 (/.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2)) n)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.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 (.f64 3 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2))) (.f64 9 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2)))) (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 6 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 n x))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (-.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 6 (/.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3)) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 18 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2))) (.f64 9 (/.f64 (pow.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (pow.f64 n 2)))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2))))))))))
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(/.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (.f64 (cbrt.f64 (cbrt.f64 n)) (.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))))
(/.f64 (/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 6 (pow.f64 (cbrt.f64 n) 2)) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))))
(pow.f64 (/.f64 6 n) 1)
(/.f64 6 n)
(pow.f64 (sqrt.f64 (/.f64 6 n)) 2)
(pow.f64 (cbrt.f64 (/.f64 6 n)) 3)
(/.f64 6 n)
(pow.f64 (pow.f64 (/.f64 6 n) 3) 1/3)
(/.f64 6 n)
(sqrt.f64 (/.f64 36 (*.f64 n n)))
(log.f64 (exp.f64 (/.f64 6 n)))
(/.f64 6 n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 n))))
(/.f64 6 n)
(cbrt.f64 (pow.f64 (/.f64 6 n) 3))
(/.f64 6 n)
(expm1.f64 (log1p.f64 (/.f64 6 n)))
(/.f64 6 n)
(exp.f64 (log.f64 (/.f64 6 n)))
(/.f64 6 n)
(exp.f64 (*.f64 (log.f64 (/.f64 6 n)) 1))
(/.f64 6 n)
(log1p.f64 (expm1.f64 (/.f64 6 n)))
(/.f64 6 n)

eval1.9s (7.6%)

Compiler: Compiled 96925 to 63776 computations (34.2% saved)

prune650.0ms (2.6%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	1617	28	1645
Fresh	5	6	11
Picked	1	0	1
Done	3	1	4
Total	1626	35	1661

Error

0.0b

Counts

1661 → 35

Alt Table

Click to see full alt table

Status	Error	Program
▶	54.9b	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
	26.4b	(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)))))))
	17.3b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	31.8b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	17.8b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	40.7b	(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) n) 9) x) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))))
	17.4b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	38.6b	(/.f64 (/.f64 1 x) n)
	39.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
▶	39.2b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
	39.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	54.0b	(/.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)))))))
▶	41.7b	(/.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)))))
	40.7b	(/.f64 (.f64 (.f64 (/.f64 3 n) (/.f64 (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3) 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)))))
	40.9b	(/.f64 (.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n 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)))))
	41.6b	(/.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)))))
	39.7b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	17.3b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	29.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	17.7b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	60.9b	(/.f64 x n)
	39.1b	(/.f64 1 (*.f64 x n))
✓	48.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
	40.0b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	48.2b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
	31.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	41.4b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	40.7b	(+.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))))))
	61.8b	(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
	55.3b	(+.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)
	17.5b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	17.4b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	60.2b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	31.4b	(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
	55.4b	(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)))))

Compiler

Compiled 1499 to 1037 computations (30.8% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	2.3b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series58.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
12.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	x	@	-inf	(/.f64 (+.f64 x 1) x)
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

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

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

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 259

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/2 (*.f64 x x))
✓	0.2b	(/.f64 1/3 (pow.f64 x 3))
✓	4.6b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
✓	12.6b	(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))

Compiler

Compiled 68 to 45 computations (33.8% saved)

series13.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
2.0ms	n	@	0	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
1.0ms	n	@	inf	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
1.0ms	x	@	0	(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
1.0ms	x	@	0	(/.f64 1/3 (pow.f64 x 3))

rewrite176.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`associate-/r/`
420×	`associate-+l+`
382×	`add-sqr-sqrt`
360×	`add-cbrt-cube`
360×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	118
1	379	110
2	5607	110

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x 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simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-r`
726×	`fma-def`
696×	`*-commutative`
660×	`associate-l`
626×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	20158
1	1897	19086

Stop Event

1×	node limit

Counts

298 → 414

Calls

Call 1

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

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.8b	(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))
✓	2.5b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	3.5b	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 78 to 46 computations (41% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`associate-/r/`
424×	`add-sqr-sqrt`
408×	`*-un-lft-identity`
406×	`pow1`
392×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	107
1	414	107
2	5879	107

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

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

Outputs

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x n) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (*.f64 (/.f64 x n) x)) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x n) (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (*.f64 (/.f64 x n) x))) (-.f64 1 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (*.f64 (/.f64 x n) x))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 x n) 1) (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (*.f64 (/.f64 x n) x))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 x n) 1) (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (*.f64 (/.f64 x n) x))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (*.f64 (/.f64 x n) x)) 1) (-.f64 (+.f64 (/.f64 x 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n)) (/.f64 x n))))))))

simplify143.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-+l-`
1028×	`associate-+r-`
566×	`associate-r`
558×	`*-commutative`
530×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	583	13335
1	1734	11917
2	7019	11913

Stop Event

1×	node limit

Counts

261 → 324

Calls

Call 1

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

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

localize60.0ms (0.2%)

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))
✓	2.7b	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
	12.1b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 152 to 96 computations (36.8% saved)

series8.0ms (0%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
1.0ms	x	@	inf	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
1.0ms	x	@	-inf	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
1.0ms	x	@	0	(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
1.0ms	n	@	0	(*.f64 3 (/.f64 (log.f64 x) n))

rewrite96.0ms (0.4%)

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	55
1	242	53
2	2971	53

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

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simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-/l*`
758×	`associate-+l+`
756×	`associate-+r+`
522×	`times-frac`
518×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	613	10857
1	1580	9981
2	6591	9969

Stop Event

1×	node limit

Counts

265 → 351

Calls

Call 1

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

eval876.0ms (3.5%)

Compiler: Compiled 50593 to 33463 computations (33.9% saved)

prune468.0ms (1.9%)

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	1438	16	1454
Fresh	9	20	29
Picked	0	1	1
Done	4	1	5
Total	1451	38	1489

Error

0.0b

Counts

1489 → 38

Alt Table

Click to see full alt table

Status	Error	Program
▶	54.9b	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))
	40.6b	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))))
	61.5b	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (-.f64 1 1)))
	54.5b	(fma.f64 (*.f64 (/.f64 x n) (/.f64 1/2 n)) x (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
▶	17.3b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	31.8b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	17.8b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	39.4b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))) 3) n)
	40.7b	(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) n) 9) x) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))))
	17.4b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	38.6b	(/.f64 (/.f64 1 x) n)
	38.6b	(/.f64 (/.f64 1 n) x)
	39.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	39.2b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
	23.1b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
	39.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	28.8b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) 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)))))
✓	41.7b	(/.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)))))
	41.6b	(/.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)))))
	41.7b	(/.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)))))
	39.7b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	38.6b	(/.f64 (log.f64 1) n)
	29.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	60.9b	(/.f64 x n)
▶	39.1b	(/.f64 1 (*.f64 x n))
	40.0b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	48.2b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
	53.9b	(-.f64 (+.f64 (+.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 (/.f64 x n) x))) (+.f64 (/.f64 x n) 1)) 1)
	31.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	41.4b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	61.8b	(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
	55.3b	(+.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)
	17.5b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	17.4b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
	61.9b	(.f64 x (.f64 (/.f64 x n) (+.f64 -1/2 (/.f64 1/2 n))))
	60.3b	(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
	60.2b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	31.4b	(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))

Compiler

Compiled 1398 to 989 computations (29.3% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	2.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 30 to 9 computations (70% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`associate-*r/`
1064×	`associate-/r*`
1032×	`*-commutative`
810×	`associate-*l/`
744×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	234	42
2	3035	42

Stop Event

1×	node limit

Counts

2 → 279

Calls

Call 1

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

Outputs

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

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/l*`
980×	`associate-/r*`
974×	`associate-r`
828×	`*-commutative`
792×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	808	17651
1	2303	17543

Stop Event

1×	node limit

Counts

327 → 471

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

localize4.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log.f64 x) n))
	0.3b	(/.f64 (log.f64 x) n)
✓	2.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	199	32
2	2495	32

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2) (+.f64 1 (pow.f64 x (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2) (+.f64 1 (pow.f64 x (/.f64 1 n))))) (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 1 (*.f64 (pow.f64 x (/.f64 1 n)) (expm1.f64 (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (-.f64 1 (*.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2) (*.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) (-.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (-.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3) 1/6) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2) (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) (/.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (/.f64 (+.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))))))) (#(struct:change 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simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

862×	`associate-*r/`
724×	`associate-+r+`
718×	`associate-+l+`
630×	`associate-*l/`
500×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	6861
1	828	6513
2	3373	6189

Stop Event

1×	node limit

Counts

137 → 200

Calls

Call 1

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

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

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (*.f64 2 (/.f64 1 n)))
	0.8b	(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))
✓	2.7b	(-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n))))
✓	3.5b	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))

Compiler

Compiled 137 to 92 computations (32.8% saved)

series12.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	n	@	inf	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))
3.0ms	n	@	-inf	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))
1.0ms	x	@	-inf	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))
1.0ms	x	@	inf	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))
1.0ms	n	@	0	(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (+.f64 (/.f64 x n) (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`add-sqr-sqrt`
538×	`*-un-lft-identity`
534×	`pow1`
516×	`add-exp-log`
516×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	119
1	541	95

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate--r+`
1478×	`associate--l+`
728×	`fma-def`
544×	`+-commutative`
482×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	447	10137
1	1318	8859
2	5665	8859

Stop Event

1×	node limit

Counts

149 → 196

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (/.f64 x n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.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 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.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 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(/.f64 (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x)) (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 (log.f64 x) n) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x)) (pow.f64 n 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x))))) (log.f64 x)) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/4 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 3)))))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 2/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (*.f64 -1/8 (pow.f64 (log.f64 x) 2))) (log.f64 x)) (pow.f64 n 3)))))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x))))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x))))) (log.f64 x)) (pow.f64 n 3))) (+.f64 (.f64 1/12 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (pow.f64 (log.f64 x) 3)) (pow.f64 n 4))) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x)) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (/.f64 x n) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 2/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/4 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 1/24 (pow.f64 (log.f64 x) 3)) (.f64 1/2 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x))))) (log.f64 x)))))) (log.f64 x)) (pow.f64 n 4))))))))))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (.f64 -1/8 (pow.f64 (log.f64 x) 2))) (log.f64 x)) (pow.f64 n 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 2/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/24 (pow.f64 (log.f64 x) 3)) (.f64 -1/2 (.f64 (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (.f64 -1/8 (pow.f64 (log.f64 x) 2))) (log.f64 x))))) (log.f64 x)) (pow.f64 n 4))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (*.f64 -1/8 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 4)))))))))))))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) (.f64 -1 (log.f64 x))) n))
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(*.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 2 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 2 n) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (*.f64 2 (/.f64 2 n)))))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (/.f64 2 n))) (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 2 n))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (.f64 2 (/.f64 2 n))))) (-.f64 1 (pow.f64 x (.f64 (/.f64 2 n) 3)))))
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 2 n))))
(/.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 2 n) 3))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (.f64 2 (/.f64 2 n))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 2 n))))) (neg.f64 (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (.f64 (/.f64 2 n) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (.f64 2 (/.f64 2 n)))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) (neg.f64 (pow.f64 x (/.f64 2 n))))) (-.f64 1 (neg.f64 (pow.f64 x (/.f64 2 n)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) (neg.f64 (pow.f64 x (/.f64 2 n)))) (neg.f64 (pow.f64 x (/.f64 2 n))))))
(pow.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 2 n)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 2 n)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))
(-.f64 (+.f64 1 (pow.f64 x (/.f64 2 n))) 1)
(*.f64 1 (pow.f64 x (/.f64 2 n)))
(*.f64 (pow.f64 x (/.f64 2 n)) 1)
(*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(.f64 (pow.f64 x (/.f64 1/2 n)) (.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 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))) (.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(.f64 (cbrt.f64 (pow.f64 x (.f64 2 (/.f64 2 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)))
(.f64 (.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
(*.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 (/.f64 2 n) (log.f64 x)))
(exp.f64 (.f64 (.f64 (/.f64 2 n) (log.f64 x)) 1))
(exp.f64 (.f64 (log.f64 (.f64 x x)) (/.f64 1 n)))
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 2 n))))

Outputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(.f64 1/2 (/.f64 (.f64 x x) (*.f64 n n)))
(*.f64 (/.f64 1/2 n) (/.f64 x (/.f64 n x)))
(+.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) (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 -1/2 (.f64 x (/.f64 x n)))))
(fma.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x)) (/.f64 x n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.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 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (+.f64 (/.f64 x n) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 -1/2 (.f64 x (/.f64 x n))))) (/.f64 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (fma.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x)) (/.f64 x n))) (/.f64 (pow.f64 x (/.f64 2 n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (fma.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (pow.f64 x (/.f64 2 n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.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 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (+.f64 (/.f64 x n) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 -1/2 (.f64 x (/.f64 x n))))) (/.f64 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (fma.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x)) (/.f64 x n))) (/.f64 (pow.f64 x (/.f64 2 n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (fma.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (pow.f64 x (/.f64 2 n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) (log.f64 x)) n)
(/.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 x) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x)) (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 (log.f64 x) n) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 (log.f64 x) (.f64 (log.f64 x) 1/4)) (/.f64 (.f64 n n) (log.f64 x))) (+.f64 (/.f64 x n) (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (.f64 -1/2 (.f64 x (/.f64 x n)))))) (+.f64 (/.f64 (log.f64 x) n) (.f64 7/8 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 3/4 (log.f64 x)) (/.f64 (.f64 n n) (log.f64 x))) (fma.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x)) (/.f64 x n))) (fma.f64 7/8 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x)) (pow.f64 n 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (log.f64 x))))) (log.f64 x)) (pow.f64 n 3))) (+.f64 (/.f64 x n) (.f64 1/4 (/.f64 (.f64 (-.f64 (log.f64 x) (.f64 1/4 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 3)))))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 2/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (log.f64 x) 2)) (*.f64 -1/8 (pow.f64 (log.f64 x) 2))) (log.f64 x)) (pow.f64 n 3)))))))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 (log.f64 x) (.f64 (log.f64 x) 1/4)) (/.f64 (.f64 n n) (log.f64 x))) (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 n n)) (fma.f64 -1/2 (.f64 x (/.f64 x n)) (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (fma.f64 1/8 (pow.f64 (log.f64 x) 2) (.f64 1/2 (.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (log.f64 x) 1/4)))))) (/.f64 (pow.f64 n 3) (log.f64 x))) (+.f64 (/.f64 x n) (.f64 1/4 (/.f64 (-.f64 (log.f64 x) (.f64 (log.f64 x) 1/4)) (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 2))))))))) (+.f64 (.f64 7/8 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (fma.f64 -1/16 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 2/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 0) (/.f64 (pow.f64 n 3) (log.f64 x)))))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 3/4 (log.f64 x)) (/.f64 (.f64 n n) (log.f64 x))) (+.f64 (fma.f64 1/2 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (fma.f64 1/2 (.f64 (log.f64 x) (.f64 3/4 (log.f64 x))) (.f64 (pow.f64 (log.f64 x) 2) 1/8))) (pow.f64 n 3)) (log.f64 x)) (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (pow.f64 n 3) (.f64 3/4 (log.f64 x)))) (/.f64 x n))) (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x))))) (fma.f64 7/8 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 2/3 (.f64 (/.f64 0 (pow.f64 n 3)) (log.f64 x))) (fma.f64 -1/16 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (log.f64 x) n)))))
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(*.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 n))) (.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(.f64 (pow.f64 x (/.f64 1 n)) (.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (/.f64 1 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 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)))
(.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))
(.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (.f64 2 (/.f64 1/2 n))))
(.f64 (.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
(.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(.f64 (pow.f64 x (/.f64 1 n)) (.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (pow.f64 1 (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))
(*.f64 (pow.f64 (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 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 2 n)))))
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))
(cbrt.f64 (pow.f64 x (*.f64 (/.f64 2 n) 3)))
(cbrt.f64 (pow.f64 x (/.f64 6 n)))
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 2 n))))
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))
(exp.f64 (*.f64 (/.f64 2 n) (log.f64 x)))
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))
(exp.f64 (.f64 (.f64 (/.f64 2 n) (log.f64 x)) 1))
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))
(exp.f64 (.f64 (log.f64 (.f64 x x)) (/.f64 1 n)))
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 2 n))))
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))
(pow.f64 x (/.f64 2 n))

eval521.0ms (2.1%)

Compiler: Compiled 36615 to 19776 computations (46% saved)

prune307.0ms (1.2%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1257	14	1271
Fresh	13	18	31
Picked	1	0	1
Done	4	2	6
Total	1275	34	1309

Error

0.0b

Counts

1309 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	61.5b	(fma.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 x (/.f64 n x)) (/.f64 x n))
	39.7b	(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
	17.4b	(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
	31.8b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	17.8b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	39.2b	(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)
	40.7b	(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) 3) n) 9) x) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))))
	38.6b	(/.f64 (/.f64 1 x) n)
	17.4b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	38.6b	(/.f64 (/.f64 1 n) x)
	39.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	39.2b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
	23.1b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
	39.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	41.3b	(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
	41.4b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	39.7b	(/.f64 (neg.f64 (log.f64 x)) n)
	29.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	60.9b	(/.f64 x n)
✓	39.1b	(/.f64 1 (*.f64 x n))
	40.0b	(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
	53.9b	(-.f64 (+.f64 (+.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 (/.f64 x n) x))) (+.f64 (/.f64 x n) 1)) 1)
	31.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	41.4b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	38.6b	(-.f64 1 1)
	61.8b	(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
	54.9b	(+.f64 (+.f64 (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 (/.f64 x n) x)) (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))
	39.2b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 n x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x))))
	38.6b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	60.4b	(*.f64 (/.f64 1/2 n) (/.f64 x (/.f64 n x)))
	17.4b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
	60.3b	(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
	60.2b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	31.4b	(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))

Compiler

Compiled 506 to 360 computations (28.9% saved)

regimes592.0ms (2.4%)

Counts

75 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 x) 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:

247.0ms	n
165.0ms	(/.f64 1 n)
137.0ms	x
8.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.8b	2	`x`
6.1b	7	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
6.1b	6	`(/.f64 1 n)`

Compiler

Compiled 1593 to 935 computations (41.3% saved)

bsearch99.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
98.0ms	9.445111317769256e-10	12.879196018151253

Results

44.0ms	72×	body	256	infinite
35.0ms	93×	body	1024	valid
9.0ms	35×	body	512	valid
4.0ms	6×	body	2048	valid
4.0ms	26×	body	256	valid

Compiler

Compiled 600 to 445 computations (25.8% saved)

regimes500.0ms (2%)

Counts

66 → 7

Calls

Call 1

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

Calls

4 calls:

227.0ms	n
191.0ms	(/.f64 1 n)
50.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.8b	2	`x`
6.1b	7	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
6.1b	6	`(/.f64 1 n)`

Compiler

Compiled 1121 to 652 computations (41.8% saved)

bsearch553.0ms (2.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
69.0ms	2.1443166231368476e+111	1.013278710479498e+115
67.0ms	4.0007025256651417e+65	3.984261374750607e+69
70.0ms	1.0812841242199965e+37	1.5968528688955305e+43
53.0ms	76988020.6253785	1.382689416951445e+21
104.0ms	-2796757850.414611	-1.7407679278130384e-14
190.0ms	-4.6903820004003945e+54	-3.064183605942598e+51

Results

191.0ms	94×	body	2048	valid
179.0ms	242×	body	1024	valid
83.0ms	337×	body	256	valid
81.0ms	191×	body	512	valid
4.0ms	10×	body	256	infinite

Compiler

Compiled 1251 to 917 computations (26.7% saved)

regimes450.0ms (1.8%)

Counts

59 → 7

Calls

Call 1

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

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

Calls

4 calls:

211.0ms	(/.f64 1 n)
162.0ms	n
51.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.8b	2	`x`
6.1b	7	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
6.1b	6	`(/.f64 1 n)`

Compiler

Compiled 915 to 520 computations (43.2% saved)

bsearch630.0ms (2.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
58.0ms	2.1443166231368476e+111	1.013278710479498e+115
69.0ms	4.0007025256651417e+65	3.984261374750607e+69
80.0ms	1.0812841242199965e+37	1.5968528688955305e+43
320.0ms	76988020.6253785	1.382689416951445e+21
4.0ms	-2796757850.414611	-1.7407679278130384e-14
99.0ms	-4.6903820004003945e+54	-3.064183605942598e+51

Results

363.0ms	95×	body	2048	valid
134.0ms	188×	body	1024	valid
70.0ms	175×	body	512	valid
50.0ms	246×	body	256	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 949 to 695 computations (26.8% saved)

regimes410.0ms (1.6%)

Counts

44 → 7

Calls

Call 1

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

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

Calls

4 calls:

191.0ms	(/.f64 1 n)
161.0ms	n
40.0ms	x
5.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.8b	2	`x`
6.1b	7	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
6.1b	6	`(/.f64 1 n)`

Compiler

Compiled 526 to 289 computations (45.1% saved)

bsearch396.0ms (1.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
108.0ms	2.1443166231368476e+111	1.013278710479498e+115
93.0ms	4.0007025256651417e+65	3.984261374750607e+69
85.0ms	1.0812841242199965e+37	1.5968528688955305e+43
57.0ms	76988020.6253785	1.382689416951445e+21
5.0ms	-2796757850.414611	-1.7407679278130384e-14
47.0ms	-4.6903820004003945e+54	-3.064183605942598e+51

Results

119.0ms	187×	body	512	valid
108.0ms	176×	body	1024	valid
89.0ms	255×	body	256	valid
59.0ms	86×	body	2048	valid
2.0ms	12×	body	256	infinite

Compiler

Compiled 933 to 679 computations (27.2% saved)

regimes384.0ms (1.5%)

Counts

43 → 7

Calls

Call 1

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

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

Calls

4 calls:

193.0ms	n
125.0ms	(/.f64 1 n)
49.0ms	x
5.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.8b	2	`x`
6.4b	7	`n`
10.8b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
6.4b	6	`(/.f64 1 n)`

Compiler

Compiled 515 to 284 computations (44.9% saved)

bsearch484.0ms (1.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
62.0ms	2.1443166231368476e+111	1.013278710479498e+115
86.0ms	4.0007025256651417e+65	3.984261374750607e+69
54.0ms	1.0812841242199965e+37	1.5968528688955305e+43
57.0ms	76988020.6253785	1.382689416951445e+21
173.0ms	-7.324695623681127e-296	1.1120615029275156e-244
52.0ms	-4.6903820004003945e+54	-3.064183605942598e+51

Results

114.0ms	216×	body	1024	valid
80.0ms	195×	body	512	valid
78.0ms	86×	body	2048	valid
72.0ms	78×	body	1024	infinite
44.0ms	207×	body	256	valid
41.0ms	171×	body	256	unsamplable
27.0ms	48×	body	256	infinite
16.0ms	28×	body	512	infinite

Compiler

Compiled 1065 to 756 computations (29% saved)

regimes280.0ms (1.1%)

Counts

41 → 7

Calls

Call 1

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

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

Calls

4 calls:

121.0ms	n
103.0ms	(/.f64 1 n)
37.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.8b	2	`x`
6.4b	7	`n`
10.8b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
6.4b	6	`(/.f64 1 n)`

Compiler

Compiled 496 to 275 computations (44.6% saved)

bsearch476.0ms (1.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
57.0ms	2.1443166231368476e+111	1.013278710479498e+115
65.0ms	4.0007025256651417e+65	3.984261374750607e+69
48.0ms	1.0812841242199965e+37	1.5968528688955305e+43
52.0ms	76988020.6253785	1.382689416951445e+21
192.0ms	-7.324695623681127e-296	1.1120615029275156e-244
61.0ms	-4.6903820004003945e+54	-3.064183605942598e+51

Results

98.0ms	198×	body	1024	valid
96.0ms	93×	body	1024	infinite
80.0ms	186×	body	512	valid
69.0ms	92×	body	2048	valid
45.0ms	230×	body	256	valid
45.0ms	219×	body	256	unsamplable
20.0ms	36×	body	512	infinite
12.0ms	61×	body	256	infinite

Compiler

Compiled 1081 to 772 computations (28.6% saved)

regimes272.0ms (1.1%)

Counts

34 → 6

Calls

Call 1

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

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

Calls

3 calls:

120.0ms	n
117.0ms	(/.f64 1 n)
27.0ms	x

Results

Error	Segments	Branch
7.8b	2	`x`
6.4b	7	`n`
6.4b	6	`(/.f64 1 n)`

Compiler

Compiled 348 to 191 computations (45.1% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	7.232282157802299e-22	1.2989033772747208e-8
0.0ms	6.262317709280592e-44	9.248263038369936e-38
0.0ms	2.5098754974693257e-70	2.499560998561731e-66
0.0ms	9.868953029979143e-116	4.663490406268148e-112
0.0ms	-3.2635120103789664e-52	-2.1320225088588412e-55

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes243.0ms (1%)

Counts

31 → 7

Calls

Call 1

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

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

Calls

3 calls:

108.0ms	n
85.0ms	(/.f64 1 n)
37.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
8.3b	6	`n`
6.7b	7	`(/.f64 1 n)`

Compiler

Compiled 317 to 182 computations (42.6% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	7.232282157802299e-22	1.2989033772747208e-8
0.0ms	6.262317709280592e-44	9.248263038369936e-38
0.0ms	2.5098754974693257e-70	2.499560998561731e-66
0.0ms	9.868953029979143e-116	4.663490406268148e-112
0.0ms	-3.2635120103789664e-52	-2.1320225088588412e-55
0.0ms	-57445911314342.75	-3.575568760276307e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes271.0ms (1.1%)

Counts

23 → 7

Calls

Call 1

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

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

Calls

3 calls:

133.0ms	(/.f64 1 n)
66.0ms	n
65.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
8.5b	6	`n`
6.9b	7	`(/.f64 1 n)`

Compiler

Compiled 228 to 135 computations (40.8% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	7.232282157802299e-22	1.2989033772747208e-8
0.0ms	6.262317709280592e-44	9.248263038369936e-38
0.0ms	2.5098754974693257e-70	2.499560998561731e-66
0.0ms	9.868953029979143e-116	4.663490406268148e-112
0.0ms	-3.2635120103789664e-52	-2.1320225088588412e-55
0.0ms	-57445911314342.75	-3.575568760276307e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes234.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 1 1)

Calls

3 calls:

113.0ms	n
93.0ms	(/.f64 1 n)
22.0ms	x

Results

Error	Segments	Branch
13.1b	3	`x`
17.3b	7	`n`
16.8b	7	`(/.f64 1 n)`

Compiler

Compiled 152 to 90 computations (40.8% saved)

bsearch154.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	2.34924711961614e+170	1.6922130177113853e+171
62.0ms	9.445111317769256e-10	12.879196018151253

Results

43.0ms	47×	body	256	valid
42.0ms	114×	body	1024	valid
40.0ms	56×	body	2048	valid
12.0ms	39×	body	512	valid
10.0ms	52×	body	256	infinite
3.0ms	14×	body	256	unsamplable

Compiler

Compiled 530 to 367 computations (30.8% saved)

regimes147.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 1 1)

Calls

3 calls:

80.0ms	(/.f64 1 n)
41.0ms	n
22.0ms	x

Results

Error	Segments	Branch
13.3b	3	`x`
24.0b	6	`n`
23.6b	6	`(/.f64 1 n)`

Compiler

Compiled 132 to 79 computations (40.2% saved)

bsearch168.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	2.34924711961614e+170	1.6922130177113853e+171
116.0ms	9.445111317769256e-10	12.879196018151253

Results

96.0ms	128×	body	1024	valid
37.0ms	56×	body	2048	valid
11.0ms	48×	body	256	infinite
9.0ms	33×	body	512	valid
8.0ms	39×	body	256	valid
1.0ms	6×	body	256	unsamplable
1.0ms	1×	body	1024	infinite

Compiler

Compiled 520 to 367 computations (29.4% saved)

regimes80.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	n
20.0ms	x
14.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
33.9b	3	`x`
29.1b	3	`n`
29.2b	2	`(/.f64 1 n)`

Compiler

Compiled 127 to 76 computations (40.2% saved)

bsearch216.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
166.0ms	3.957183182489701e-101	4.634279194148223e-67
50.0ms	-2796757850.414611	-1.7407679278130384e-14

Results

97.0ms	195×	body	512	valid
53.0ms	308×	body	256	unsamplable
22.0ms	121×	body	256	valid
21.0ms	97×	body	256	infinite
17.0ms	36×	body	1024	valid

Compiler

Compiled 328 to 279 computations (14.9% saved)

regimes30.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(/.f64 1 n)
10.0ms	n
8.0ms	x

Results

Error	Segments	Branch
34.9b	2	`x`
29.1b	3	`n`
29.2b	2	`(/.f64 1 n)`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch242.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
168.0ms	3.957183182489701e-101	4.634279194148223e-67
74.0ms	-2796757850.414611	-1.7407679278130384e-14

Results

97.0ms	200×	body	512	valid
59.0ms	335×	body	256	unsamplable
44.0ms	47×	body	1024	valid
20.0ms	98×	body	256	infinite
17.0ms	105×	body	256	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 328 to 279 computations (14.9% saved)

regimes17.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	n
6.0ms	x

Results

Error	Segments	Branch
35.1b	2	`x`
29.6b	3	`n`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch204.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
152.0ms	3.957183182489701e-101	4.634279194148223e-67
52.0ms	-2796757850.414611	-1.7407679278130384e-14

Results

85.0ms	200×	body	512	valid
52.0ms	278×	body	256	unsamplable
22.0ms	70×	body	256	infinite
19.0ms	40×	body	1024	valid
18.0ms	109×	body	256	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 328 to 279 computations (14.9% saved)

regimes8.0ms (0%)

Accuracy

Total -23.0b remaining (-59.5%)

Threshold costs -23.0b (-59.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 1 1)

Calls

2 calls:

4.0ms	n
3.0ms	x

Results

Error	Segments	Branch
38.6b	1	`x`
38.6b	1	`n`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative`
28×	`*-commutative`
26×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	2313
1	267	2313
2	288	2313
3	299	2313
4	304	2313

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 2476979795053773/4503599627370496) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) 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 n -3100000000000000111907740469012634017412002198061056) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -150000000) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 1900000000) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (if (<=.f64 n 22000000000000000638106117049042337792) (/.f64 1 (.f64 x n)) (if (<=.f64 n 580000000000000022912038840463345643692519318216117938966322862882816) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 7200000000000000436697825592139602298774349395603563739873435577313224256336565452485293126045705226758922436608) (/.f64 (/.f64 1 x) n) (pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)))))))
(if (<=.f64 n -53999999999999999633931228415527910728932255864979456) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -2000000000) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 64000000000) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 16999999999999999428403010672739976478720) (/.f64 1 (.f64 x n)) (if (<=.f64 n 999999999999999945322333868247445125709646570021247924665841614848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 3999999999999999827279090566567263033620417909033513127181584862491530430484445952615771723789729288178995560448) (/.f64 (/.f64 1 x) n) (pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)))))))
(if (<=.f64 n -6200000000000000223815480938025268034824004396122112) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -2000000000) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 4500000000000) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 470000000000000000979759320308251422097408) (/.f64 1 (.f64 x n)) (if (<=.f64 n 2899999999999999827217280289962567276272529000397617766318028904988672) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 2899999999999999968226773482301081804157002628967202031074971878409918247284293657868547502650577797434363084800) (/.f64 (/.f64 1 x) n) (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))))))
(if (<=.f64 n -259999999999999998237446655334023273880044194905456640) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 284523899574385/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 1000000000) (+.f64 (+.f64 (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 (/.f64 x n) x)) (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 n 61999999999999995355273950328425191309312) (/.f64 1 (.f64 x n)) (if (<=.f64 n 860000000000000024064646766467920749537526313538279291277182679121920) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096) (/.f64 (/.f64 1 x) n) (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))))))
(if (<=.f64 n -20999999999999999857639922161594187505695877280825344) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 284523899574385/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 105000000000) (+.f64 (+.f64 (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 (/.f64 x n) x)) (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 n 2400000000000000097087163214773463547904) (/.f64 1 (.f64 x n)) (if (<=.f64 n 2300000000000000005191914601818025260182348122427828787902991564800) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 3899999999999999791547356378886017412873250470628573150201335446742002733215304657133757572307975743043981541376) (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)))))))
(if (<=.f64 (/.f64 1 n) -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 (/.f64 1 n) 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5021681388309345/50216813883093446110686315385661331328818843555712276103168) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 5316911983139663/5316911983139663491615228241121378304) (/.f64 1 (.f64 x n)) (+.f64 (+.f64 (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 (/.f64 x n) x)) (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))
(if (<=.f64 (/.f64 1 n) -50000000000000) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5021681388309345/50216813883093446110686315385661331328818843555712276103168) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 5316911983139663/5316911983139663491615228241121378304) (/.f64 1 (.f64 x n)) (+.f64 (+.f64 (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (*.f64 (/.f64 x n) x)) (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))))
(if (<=.f64 (/.f64 1 n) -50000000000000) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5021681388309345/50216813883093446110686315385661331328818843555712276103168) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 5316911983139663/5316911983139663491615228241121378304) (/.f64 1 (*.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))
(if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n) (-.f64 1 1)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1619999999999999929725473439625760814871128095683213910719198378767556836393151879388472823507524620622035898410496030937961406930617236572935900511607107713033438467457024) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n) (-.f64 1 1)))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 1479767320250067/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (-.f64 1 1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -3039929748475085/562949953421312) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 6216540455122333/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -49/2) (/.f64 1 (.f64 x n)) (if (<=.f64 n 5585173065148971/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (-.f64 1 1) (/.f64 1 (.f64 x n))))
(-.f64 1 1)

Outputs
(if (<=.f64 x 2476979795053773/4503599627370496) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) 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 2476979795053773/4503599627370496) (/.f64 (/.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) 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)))
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(if (<=.f64 n -53999999999999999633931228415527910728932255864979456) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -2000000000) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 64000000000) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 16999999999999999428403010672739976478720) (/.f64 1 (.f64 x n)) (if (<=.f64 n 999999999999999945322333868247445125709646570021247924665841614848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 3999999999999999827279090566567263033620417909033513127181584862491530430484445952615771723789729288178995560448) (/.f64 (/.f64 1 x) n) (pow.f64 (*.f64 n (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)))))))
(if (<=.f64 n -6200000000000000223815480938025268034824004396122112) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -2000000000) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 4500000000000) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 470000000000000000979759320308251422097408) (/.f64 1 (.f64 x n)) (if (<=.f64 n 2899999999999999827217280289962567276272529000397617766318028904988672) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 2899999999999999968226773482301081804157002628967202031074971878409918247284293657868547502650577797434363084800) (/.f64 (/.f64 1 x) n) (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))))))
(if (<=.f64 n -259999999999999998237446655334023273880044194905456640) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 284523899574385/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 1000000000) (+.f64 (+.f64 (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 (/.f64 x n) x)) (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 n 61999999999999995355273950328425191309312) (/.f64 1 (.f64 x n)) (if (<=.f64 n 860000000000000024064646766467920749537526313538279291277182679121920) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096) (/.f64 (/.f64 1 x) n) (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))))))
(if (<=.f64 n -259999999999999998237446655334023273880044194905456640) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 284523899574385/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 n 1000000000) (+.f64 (+.f64 (/.f64 x n) (.f64 (+.f64 -1/2 (/.f64 1/2 n)) (.f64 x (/.f64 x n)))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 n 61999999999999995355273950328425191309312) (/.f64 1 (.f64 x n)) (if (<=.f64 n 860000000000000024064646766467920749537526313538279291277182679121920) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096) (/.f64 (/.f64 1 x) n) (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))))))
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(-.f64 1 1)
0

Compiler

Compiled 886 to 595 computations (32.8% saved)

soundness239.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1036×	`associate-/l*`
940×	`associate--r+`
888×	`associate-+l-`
780×	`associate-+r-`
758×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	13248
1	1288	12594
2	5562	12586
0	613	10857
1	1580	9981
2	6591	9969

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 822 to 580 computations (29.4% saved)

end386.0ms (1.5%)

Compiler: Compiled 858 to 512 computations (40.3% saved)