Details

analyze386.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample7.7s (29%)

Results

2.2s	2766×	body	1024	valid
1.6s	1768×	body	2048	valid
1.4s	1544×	body	1024	invalid
621.0ms	1257×	body	512	valid
512.0ms	2465×	body	256	valid
353.0ms	786×	body	512	invalid
277.0ms	225×	body	1024	infinite
255.0ms	240×	body	512	infinite
238.0ms	787×	body	256	infinite
186.0ms	1330×	body	256	invalid
114.0ms	338×	body	256	unsamplable
6.0ms	6×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess57.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify69.0ms (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

28.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.2b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	2.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series58.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
17.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
6.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
6.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	227	61
2	3106	61

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs
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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))))))))

simplify166.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-+l-`
1038×	`associate--r+`
1008×	`associate-+r-`
636×	`fma-def`
480×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	15302
1	1365	14436
2	5892	14428

Stop Event

1×	node limit

Counts

208 → 319

Calls

Call 1

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

eval248.0ms (0.9%)

Compiler: Compiled 11763 to 7383 computations (37.2% saved)

prune101.0ms (0.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	302	17	319
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	303	17	320

Error

0.8b

Counts

320 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	26.6b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
	41.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	41.2b	(/.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)))))
	41.2b	(/.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))))
▶	20.8b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	41.2b	(/.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))))))
	25.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	29.2b	(-.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)))
	47.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	53.5b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
▶	26.6b	(-.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)))))
	31.1b	(-.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)))))
▶	27.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	35.4b	(+.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)))))))
	31.8b	(+.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)))
	28.0b	(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))

Compiler

Compiled 1094 to 752 computations (31.3% 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)
✓	2.9b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series66.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
18.0ms	x	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
9.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs
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Outputs

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simplify175.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

202 → 278

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	3.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1714×	`*-un-lft-identity`
1600×	`add-cube-cbrt`
1586×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2194	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-*r/`
1358×	`distribute-lft-in`
1080×	`associate-r`
914×	`associate-*l/`
820×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1976
1	306	1798
2	1081	1774
3	4476	1774

Stop Event

1×	node limit

Counts

54 → 63

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.2b	(/.f64 (log1p.f64 x) n)
✓	2.6b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series4.0ms (0%)

Counts

3 → 68

Calls

18 calls:

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

rewrite116.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`associate-*r/`
1066×	`associate-*l/`
868×	`associate-/r*`
686×	`associate-/l*`
526×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	252	59
2	3287	59

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

Outputs

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

simplify180.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-+r-`
942×	`fma-def`
582×	`+-commutative`
562×	`associate-/l*`
528×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	16553
1	1761	15585
2	7774	15585

Stop Event

1×	node limit

Counts

255 → 379

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

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

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (+.f64 1 x) (/.f64 2 n))
✓	0.3b	(pow.f64 (+.f64 1 x) (/.f64 3 n))
✓	2.1b	(-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))
✓	11.9b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 183 to 127 computations (30.6% saved)

series11.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`associate-/r*`
576×	`associate-/l*`
566×	`associate-/r/`
396×	`add-sqr-sqrt`
380×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	100
1	387	100
2	5117	100

Stop Event

1×	node limit

Counts

4 → 131

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 (+.f64 1 x) (/.f64 3 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 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1/2 n)) (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1/2 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 (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 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 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n)) 3))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (.f64 x x)) (/.f64 1 n))))))))
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simplify223.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-+r-`
816×	`fma-def`
656×	`+-commutative`
440×	`associate-+r+`
434×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	624	16915
1	1803	15879
2	7176	15859

Stop Event

1×	node limit

Counts

227 → 396

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

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
✓	1.8b	(log.f64 (+.f64 1 x))
✓	3.2b	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
✓	7.9b	(-.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)))))

Compiler

Compiled 148 to 102 computations (31.1% saved)

series11.0ms (0%)

Counts

4 → 50

Calls

21 calls:

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

rewrite131.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`+-commutative`
530×	`add-sqr-sqrt`
518×	`*-un-lft-identity`
512×	`pow1`
494×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	142
1	521	114
2	7846	114

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

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

simplify169.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-r`
830×	`associate-l`
606×	`*-commutative`
576×	`+-commutative`
514×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	16590
1	1908	15302

Stop Event

1×	node limit

Counts

230 → 358

Calls

Call 1

Inputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (/.f64 x n))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x)))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x))))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
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(fma.f64 1 (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
(fma.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1/2 (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
(fma.f64 (.f64 (/.f64 (log1p.f64 x) n) (sqrt.f64 1/2)) (.f64 (/.f64 (log1p.f64 x) n) (sqrt.f64 1/2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
(fma.f64 (cbrt.f64 (.f64 1/4 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)))) (cbrt.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(.f64 (log1p.f64 x) (.f64 (/.f64 1 n) (/.f64 (log1p.f64 x) n)))
(.f64 (log1p.f64 x) (.f64 (log1p.f64 x) (pow.f64 n -2)))
(*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))
(.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (/.f64 1 n) (/.f64 1 n)))
(*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)
(*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n))
(.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log1p.f64 x) n)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log1p.f64 x) n)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 n -2)))
(*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))
(.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (.f64 n (neg.f64 n))))
(.f64 (.f64 (/.f64 (log1p.f64 x) n) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(.f64 (.f64 (/.f64 (log1p.f64 x) n) (log1p.f64 x)) (/.f64 1 n))
(.f64 (.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(.f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) (.f64 n n)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n 4))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 n n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (cbrt.f64 (pow.f64 n 4))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)
(pow.f64 (/.f64 (log1p.f64 x) n) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3) 1/3)
(pow.f64 (/.f64 n (/.f64 (pow.f64 (log1p.f64 x) 2) n)) -1)
(neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n (neg.f64 n))))
(sqrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(fabs.f64 (log1p.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 x) n) 2))
(.f64 (log.f64 x) (.f64 (log.f64 x) (pow.f64 n -2)))
(.f64 (log.f64 x) (.f64 (/.f64 1 n) (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n))
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 (/.f64 1 n) (/.f64 1 n)))
(*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1)
(.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 2))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 n -2)))
(*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 (log.f64 x) 2) n))
(.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (/.f64 1 (.f64 n (neg.f64 n))))
(.f64 (.f64 (/.f64 (log.f64 x) n) (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)))
(.f64 (.f64 (/.f64 (log.f64 x) n) (log.f64 x)) (/.f64 1 n))
(.f64 (.f64 (/.f64 (log.f64 x) n) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) (cbrt.f64 (/.f64 (log.f64 x) n)))
(.f64 (/.f64 (log.f64 x) 1) (/.f64 (log.f64 x) (.f64 n n)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 4))) (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 n n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(pow.f64 (/.f64 (log.f64 x) n) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) 1/3)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 x) n) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n (neg.f64 n))))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))

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

eval1.4s (5.4%)

Compiler: Compiled 65796 to 39419 computations (40.1% saved)

prune546.0ms (2.1%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1568	29	1597
Fresh	8	4	12
Picked	1	0	1
Done	3	1	4
Total	1580	34	1614

Error

0.0b

Counts

1614 → 34

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	28.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	20.9b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	41.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	47.0b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	20.8b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	38.3b	(/.f64 (/.f64 1 x) n)
	39.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
▶	39.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
	45.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	40.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
	40.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	40.8b	(/.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1))))))
	38.5b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) (*.f64 n n))) x)
	33.8b	(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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))))))
▶	41.7b	(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (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))))))
	45.9b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	20.7b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	25.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	21.0b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	38.9b	(/.f64 1 (*.f64 x n))
	46.2b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
	46.1b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
	39.9b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	53.5b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
	47.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	31.1b	(-.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)))))
	46.4b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	34.1b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	31.9b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
	21.0b	(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	20.8b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	40.8b	(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 1419 to 995 computations (29.9% saved)

localize12.0ms (0%)

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)
✓	2.8b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series49.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
11.0ms	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))

rewrite77.0ms (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))))))) 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simplify91.0ms (0.3%)

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite102.0ms (0.4%)

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))))))))

simplify63.0ms (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)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1/3 (pow.f64 x 3))
✓	0.7b	(/.f64 1/2 (*.f64 x x))
✓	2.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
✓	10.6b	(-.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)

series6.0ms (0%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
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)
0.0ms	x	@	0	(/.f64 1/3 (pow.f64 x 3))
0.0ms	x	@	0	(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 1/2 (*.f64 x x))

rewrite130.0ms (0.5%)

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 1/2 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 3))

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 -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)))))))) (#(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 (/.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 1/3 (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)))))))) (#(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 (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 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (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 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (/.f64 -1/2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.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 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.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 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.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 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.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 (/.f64 1 x) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (+.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/2 (cbrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (neg.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 x 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/8 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 1/3) x) (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (/.f64 (cbrt.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 1/3 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/27 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/27 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x -3))))))))

simplify214.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	20158
1	1897	19086

Stop Event

1×	node limit

Counts

298 → 415

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

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

localize50.0ms (0.2%)

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)
	2.9b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 30 to 9 computations (70% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite147.0ms (0.6%)

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)))))))))

simplify213.0ms (0.8%)

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

localize113.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 (/.f64 1 x)) n)
✓	0.3b	(*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))
✓	3.9b	(/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
	11.9b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 221 to 152 computations (31.2% saved)

series84.0ms (0.3%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
56.0ms	n	@	0	(*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))
11.0ms	x	@	-inf	(/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
7.0ms	x	@	inf	(/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
5.0ms	n	@	inf	(*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))
1.0ms	x	@	0	(/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`associate-/l*`
404×	`distribute-lft-neg-in`
372×	`distribute-rgt-in`
354×	`distribute-rgt-neg-in`
348×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	288	73
2	3709	65

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1660×	`distribute-lft-in`
1648×	`distribute-rgt-in`
838×	`associate-/l/`
408×	`associate-/r/`
402×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	5584
1	980	4916
2	3603	4904

Stop Event

1×	node limit

Counts

178 → 214

Calls

Call 1

Inputs
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x))))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x)))))
(/.f64 1 (*.f64 n x))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x))))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x)))))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n)))) 1)
(.f64 1 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n)))
(.f64 (/.f64 1 x) (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) n))
(.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (/.f64 1 (*.f64 x n)))
(.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n)) 1)
(.f64 (sqrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) (sqrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n))))
(.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (/.f64 1 (*.f64 x n))))
(.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) 2) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (/.f64 1 (*.f64 x n))))
(.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) n) (/.f64 1 x))
(.f64 (/.f64 1 (.f64 x n)) (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(.f64 (/.f64 1 n) (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) x))
(.f64 (neg.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (/.f64 1 (*.f64 x (neg.f64 n))))
(.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 (sqrt.f64 x) n)) (pow.f64 x -1/2))
(.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 (pow.f64 (cbrt.f64 x) 2) n)) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (sqrt.f64 (.f64 x n))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 x n) 2))) (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (cbrt.f64 (.f64 x n))))
(.f64 (/.f64 1 (.f64 x (neg.f64 n))) (neg.f64 (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) 1) (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (.f64 x n)))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (.f64 x n)) (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) x) (/.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n))) n))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) n) (/.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n))) x))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (cbrt.f64 (pow.f64 (.f64 x n) 2))) (/.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (cbrt.f64 (*.f64 x n))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) 1) (/.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (.f64 x n)))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) x) (/.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n))) n))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) n) (/.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n))) x))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) (sqrt.f64 (.f64 x n))) (/.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (sqrt.f64 (*.f64 x n))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) (cbrt.f64 (pow.f64 (.f64 x n) 2))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) (.f64 x n)) (cbrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))))
(.f64 (/.f64 1 (/.f64 x (/.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) n))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n))))
(.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) n) (neg.f64 x)) -1)
(pow.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n)) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n)) 3) 1/3)
(pow.f64 (.f64 x (/.f64 n (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)))) -1)
(neg.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x (neg.f64 n))))
(neg.f64 (.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x (neg.f64 n))) 1))
(neg.f64 (.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (/.f64 1 (*.f64 x (neg.f64 n)))))
(neg.f64 (.f64 1 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x (neg.f64 n)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) 3) (pow.f64 (.f64 x n) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))))
(exp.f64 (-.f64 (/.f64 (.f64 3 (log.f64 x)) n) (log.f64 (.f64 x n))))
(exp.f64 (.f64 (-.f64 (/.f64 (.f64 3 (log.f64 x)) n) (log.f64 (*.f64 x n))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))))
(+.f64 (/.f64 (*.f64 3 (log.f64 x)) n) 0)
(+.f64 0 (/.f64 (*.f64 3 (log.f64 x)) n))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6)))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))))))
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(/.f64 (*.f64 -3 (log.f64 x)) (neg.f64 n))
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(/.f64 (/.f64 (*.f64 3 (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
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(neg.f64 (.f64 (log.f64 x) (.f64 (/.f64 1 n) -3)))
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(sqrt.f64 (pow.f64 (/.f64 (*.f64 3 (log.f64 x)) n) 2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 3 (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 3 (log.f64 x)) n) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 3 (log.f64 x)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(+.f64 (*.f64 (/.f64 1 n) 0) (/.f64 (neg.f64 (log.f64 x)) n))
(+.f64 (.f64 (/.f64 1 n) (log.f64 (cbrt.f64 (pow.f64 x -2)))) (.f64 (/.f64 1 n) (log.f64 (/.f64 1 (cbrt.f64 x)))))
(+.f64 (.f64 (/.f64 1 n) (log.f64 (pow.f64 x -1/2))) (.f64 (/.f64 1 n) (log.f64 (pow.f64 x -1/2))))
(+.f64 (*.f64 0 (/.f64 1 n)) (/.f64 (neg.f64 (log.f64 x)) n))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 n)) (.f64 (log.f64 (/.f64 1 (cbrt.f64 x))) (/.f64 1 n)))
(+.f64 (.f64 (log.f64 (pow.f64 x -1/2)) (/.f64 1 n)) (.f64 (log.f64 (pow.f64 x -1/2)) (/.f64 1 n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 1)
(-.f64 (/.f64 0 n) (/.f64 (log.f64 x) n))
(*.f64 1 (/.f64 (neg.f64 (log.f64 x)) n))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n))
(*.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1)
(.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (log.f64 x) (neg.f64 (/.f64 1 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (neg.f64 (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 1 (neg.f64 n)) (log.f64 x))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 1) (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) n))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) n) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (neg.f64 (log.f64 x))) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) n) (cbrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2))) (cbrt.f64 (neg.f64 (log.f64 x))))
(pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 3) 1/3)
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
(neg.f64 (*.f64 (log.f64 x) (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(neg.f64 (.f64 (.f64 (log.f64 x) (/.f64 1 n)) 1))
(neg.f64 (*.f64 (/.f64 (log.f64 x) n) 1))
(neg.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n))))
(neg.f64 (.f64 1 (.f64 (log.f64 x) (/.f64 1 n))))
(neg.f64 (*.f64 1 (/.f64 (log.f64 x) n)))
(neg.f64 (*.f64 (/.f64 1 n) (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 2))
(log.f64 (pow.f64 (/.f64 1 x) (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 x)) n)))

Outputs
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 -3) (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 -3) (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 -3) (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (pow.f64 (exp.f64 -3) (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))
(fma.f64 -3 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (*.f64 x n)))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n)))
(fma.f64 -3 (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) (.f64 x n)) (/.f64 1 (.f64 x n)))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x))))
(fma.f64 -3 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (.f64 x (pow.f64 n 3))) (/.f64 1 (.f64 x n))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (.f64 x n))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 n (.f64 x n))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (.f64 x n))))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x)))))
(fma.f64 -3 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 -9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (.f64 x (pow.f64 n 4))) (fma.f64 9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n)))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 -9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (.f64 x (pow.f64 n 4))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n)))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 n (.f64 x n))) (fma.f64 -9/2 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 3)) (.f64 x (pow.f64 n 4))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))
(fma.f64 -3 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (*.f64 x n)))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n)))
(fma.f64 -3 (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) (.f64 x n)) (/.f64 1 (.f64 x n)))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x))))
(fma.f64 -3 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (.f64 x (pow.f64 n 3))) (/.f64 1 (.f64 x n))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (.f64 x n))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 n (.f64 x n))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (.f64 x n))))
(+.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 1 (*.f64 n x)))))
(fma.f64 -3 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 -9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (.f64 x (pow.f64 n 4))) (fma.f64 9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n)))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 x (.f64 n n))) (fma.f64 -9/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (.f64 x (pow.f64 n 4))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n)))))
(+.f64 (/.f64 (.f64 3 (log.f64 x)) (.f64 n (.f64 x n))) (fma.f64 -9/2 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 3)) (.f64 x (pow.f64 n 4))) (fma.f64 9/2 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n)))))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 3 (/.f64 (log.f64 x) n))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (*.f64 -3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) n)
(*.f64 (/.f64 -3 n) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (*.f64 -3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) n)
(*.f64 (/.f64 -3 n) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (*.f64 -3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) n)
(*.f64 (/.f64 -3 n) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -3 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (*.f64 -3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) n)
(*.f64 (/.f64 -3 n) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n)))) 1)
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 1 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n)))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (/.f64 1 x) (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) n))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (/.f64 1 (*.f64 x n)))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n)) 1)
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (sqrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) (sqrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n))))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (/.f64 1 (*.f64 x n))))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n))) 2))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 x n))) 2) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 x n))))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) -6))) (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (/.f64 1 (*.f64 x n))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) -6)) (.f64 (/.f64 1 (*.f64 x n)) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))))
(.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x (/.f64 -1 n)) -6)) (.f64 x n)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 x (/.f64 -1 n)) -6)) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) (.f64 x n)))
(.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) n) (/.f64 1 x))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (/.f64 1 (.f64 x n)) (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (/.f64 1 n) (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) x))
(/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))
(.f64 (neg.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n))) (/.f64 1 (*.f64 x (neg.f64 n))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (neg.f64 (*.f64 x n)))
(/.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (*.f64 x (neg.f64 n)))
(.f64 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (*.f64 (sqrt.f64 x) n)) (pow.f64 x -1/2))
(.f64 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (.f64 n (sqrt.f64 x))) (pow.f64 x -1/2))
(*.f64 (/.f64 (pow.f64 x (/.f64 3 n)) n) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
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(*.f64 3 (/.f64 (log.f64 x) n))
(/.f64 (*.f64 3 (log.f64 x)) n)
(*.f64 3 (/.f64 (log.f64 x) n))
(/.f64 (sqrt.f64 (.f64 3 (log.f64 x))) (/.f64 n (sqrt.f64 (.f64 3 (log.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 3 (log.f64 x))) n) (sqrt.f64 (*.f64 3 (log.f64 x))))
(.f64 (sqrt.f64 (.f64 3 (log.f64 x))) (/.f64 (sqrt.f64 (*.f64 3 (log.f64 x))) n))
(/.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 (.f64 (cbrt.f64 (.f64 3 (log.f64 x))) (cbrt.f64 (.f64 3 (log.f64 x)))) n) (cbrt.f64 (*.f64 3 (log.f64 x))))
(.f64 (cbrt.f64 (.f64 3 (log.f64 x))) (/.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 x))) (cbrt.f64 (*.f64 3 (log.f64 x)))) n))
(.f64 (cbrt.f64 (.f64 3 (log.f64 x))) (.f64 (/.f64 (cbrt.f64 (.f64 3 (log.f64 x))) n) (cbrt.f64 (*.f64 3 (log.f64 x)))))
(/.f64 (*.f64 -3 (sqrt.f64 (neg.f64 (log.f64 x)))) (/.f64 n (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 3 (/.f64 (log.f64 x) n))
(/.f64 (*.f64 -3 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2)) (/.f64 n (cbrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 3 (/.f64 (log.f64 x) n))
(/.f64 (*.f64 -3 (log.f64 x)) (neg.f64 n))
(*.f64 3 (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (neg.f64 (log.f64 x)) -1/3) n)
(*.f64 3 (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (*.f64 3 (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 3 (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (*.f64 3 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 3 (/.f64 (log.f64 x) n))
(pow.f64 (/.f64 (*.f64 3 (log.f64 x)) n) 1)
(*.f64 3 (/.f64 (log.f64 x) n))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 3 (log.f64 x)) n)) 2)
(*.f64 3 (/.f64 (log.f64 x) n))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 3 (log.f64 x)) n)) 3)
(*.f64 3 (/.f64 (log.f64 x) n))
(pow.f64 (pow.f64 (/.f64 (*.f64 3 (log.f64 x)) n) 3) 1/3)
(*.f64 3 (/.f64 (log.f64 x) n))
(neg.f64 (.f64 (log.f64 x) (.f64 (/.f64 1 n) -3)))
(*.f64 3 (/.f64 (log.f64 x) n))
(neg.f64 (.f64 (.f64 (log.f64 x) (/.f64 1 n)) -3))
(*.f64 3 (/.f64 (log.f64 x) n))
(neg.f64 (*.f64 (/.f64 (log.f64 x) n) -3))
(*.f64 3 (/.f64 (log.f64 x) n))
(neg.f64 (.f64 (.f64 -3 (log.f64 x)) (/.f64 1 n)))
(*.f64 3 (/.f64 (log.f64 x) n))
(neg.f64 (.f64 -3 (.f64 (log.f64 x) (/.f64 1 n))))
(*.f64 3 (/.f64 (log.f64 x) n))
(neg.f64 (*.f64 -3 (/.f64 (log.f64 x) n)))
(*.f64 3 (/.f64 (log.f64 x) n))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 3 (log.f64 x)) n) 2))
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 x) n)) 2))
(fabs.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(log.f64 (exp.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(*.f64 3 (/.f64 (log.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 3 (log.f64 x)) n))))
(*.f64 3 (/.f64 (log.f64 x) n))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 3 (log.f64 x)) n) 3))
(*.f64 3 (/.f64 (log.f64 x) n))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(*.f64 3 (/.f64 (log.f64 x) n))
(exp.f64 (log.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(*.f64 3 (/.f64 (log.f64 x) n))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 3 (log.f64 x)) n)) 1))
(*.f64 3 (/.f64 (log.f64 x) n))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 3 (log.f64 x)) n)))
(*.f64 3 (/.f64 (log.f64 x) n))
(+.f64 (*.f64 (/.f64 1 n) 0) (/.f64 (neg.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (.f64 (/.f64 1 n) (log.f64 (cbrt.f64 (pow.f64 x -2)))) (.f64 (/.f64 1 n) (log.f64 (/.f64 1 (cbrt.f64 x)))))
(*.f64 (/.f64 1 n) (+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (neg.f64 (log.f64 (cbrt.f64 x)))))
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 x))))
(/.f64 (-.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 x))) n)
(+.f64 (.f64 (/.f64 1 n) (log.f64 (pow.f64 x -1/2))) (.f64 (/.f64 1 n) (log.f64 (pow.f64 x -1/2))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (*.f64 0 (/.f64 1 n)) (/.f64 (neg.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 n)) (.f64 (log.f64 (/.f64 1 (cbrt.f64 x))) (/.f64 1 n)))
(*.f64 (/.f64 1 n) (+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (neg.f64 (log.f64 (cbrt.f64 x)))))
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 x))))
(/.f64 (-.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 x))) n)
(+.f64 (.f64 (log.f64 (pow.f64 x -1/2)) (/.f64 1 n)) (.f64 (log.f64 (pow.f64 x -1/2)) (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 1)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (/.f64 0 n) (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 1 (/.f64 (neg.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 2)))
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) (neg.f64 n))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 n)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 x) n)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) (neg.f64 n))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 n)) 2)))
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (neg.f64 (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (neg.f64 (log.f64 x)) (cbrt.f64 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 1 (neg.f64 n)) (log.f64 x))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 1) (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) n) (sqrt.f64 (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (neg.f64 (log.f64 x))) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (log.f64 x) n))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 (log.f64 x) (neg.f64 n)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) n) (cbrt.f64 (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2))) (cbrt.f64 (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 2)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 3) 1/3)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (*.f64 (log.f64 x) (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (.f64 (.f64 (log.f64 x) (/.f64 1 n)) 1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (*.f64 (/.f64 (log.f64 x) n) 1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (.f64 1 (.f64 (log.f64 x) (/.f64 1 n))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (*.f64 1 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (*.f64 (/.f64 1 n) (log.f64 x)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 2))
(sqrt.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 x) n)) 2))
(fabs.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(log.f64 (pow.f64 (/.f64 1 x) (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 3))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))

eval820.0ms (3.1%)

Compiler: Compiled 49038 to 28602 computations (41.7% saved)

prune463.0ms (1.7%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1621	18	1639
Fresh	5	23	28
Picked	1	0	1
Done	2	3	5
Total	1629	44	1673

Error

0.0b

Counts

1673 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	46.0b	(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
	47.0b	(pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -2)
	20.9b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	41.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	58.4b	(/.f64 (/.f64 (-.f64 (.f64 x (+.f64 (pow.f64 x 3) (.f64 1/3 x))) (*.f64 (pow.f64 x 4) (/.f64 1/2 x))) (pow.f64 x 5)) n)
	34.2b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)))
	38.3b	(/.f64 (/.f64 1 x) n)
	20.8b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
▶	38.3b	(/.f64 (/.f64 1 n) x)
▶	42.0b	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
	39.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	39.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
	27.1b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
	45.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	40.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
▶	40.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	40.8b	(/.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1))))))
	38.5b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) (*.f64 n n))) x)
	33.8b	(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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))))))
	41.7b	(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 n x)))) (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))))))
	41.7b	(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (neg.f64 (+.f64 (.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))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
	38.7b	(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (neg.f64 (+.f64 (.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 1 x) (/.f64 2 n))))))
▶	20.7b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
	45.9b	(/.f64 (neg.f64 (log.f64 x)) n)
✓	20.7b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	36.7b	(/.f64 (log.f64 1) n)
	25.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	21.0b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	38.9b	(/.f64 1 (*.f64 x n))
	46.2b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
	46.1b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
	39.9b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	53.5b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
	47.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	31.1b	(-.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)))))
	43.7b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	46.4b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	34.1b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	31.9b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
	38.4b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	20.7b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
	40.8b	(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 1776 to 1261 computations (29% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.1b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
✓	2.8b	(log.f64 (/.f64 x (+.f64 x 1)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series20.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite114.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`associate-*l/`
1362×	`associate-/l*`
1004×	`*-commutative`
542×	`associate-/r/`
426×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	235	49
2	3311	49

Stop Event

1×	node limit

Counts

3 → 325

Calls

Call 1

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

Outputs

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

simplify146.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

850×	`associate-r`
798×	`associate-/l*`
688×	`associate-l`
648×	`associate-*r/`
640×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	754	9909
1	2000	9265

Stop Event

1×	node limit

Counts

373 → 464

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 n) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`add-sqr-sqrt`
1428×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1312×	`add-cbrt-cube`
1298×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1832	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-+r+`
704×	`associate-r`
568×	`associate-l`
540×	`associate-/l*`
482×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	829
1	244	805
2	731	787
3	3838	787
4	7292	787

Stop Event

1×	node limit

Counts

55 → 39

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.6b	(/.f64 1/3 (pow.f64 x 3))
✓	3.8b	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
1.0ms	x	@	inf	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
0.0ms	x	@	0	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
0.0ms	n	@	inf	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
0.0ms	n	@	-inf	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`associate-/r*`
1276×	`associate-*r/`
894×	`associate-*l/`
856×	`*-commutative`
794×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	203	19
2	2551	19

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (pow.f64 x -3) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 x -3)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 (pow.f64 x -3) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n))) (sqrt.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/3) (*.f64 n (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 n) x)) (pow.f64 (/.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 n) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 n) x)) (/.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 n) x)) 2) (/.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (/.f64 (cbrt.f64 1/3) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (*.f64 1/3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (pow.f64 x 3)) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3) n) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/3) (*.f64 n (pow.f64 x 3/2))) (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/3) (*.f64 x n)) (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/3) (*.f64 x n)) (/.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 n) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3) (/.f64 (sqrt.f64 n) 1/3)) (/.f64 1 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (pow.f64 x -3) (/.f64 (sqrt.f64 n) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 n) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (cbrt.f64 n) (pow.f64 x -3))) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 n)) (/.f64 (pow.f64 x -3) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3) (sqrt.f64 n)) (/.f64 1/3 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 x -3) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3) (cbrt.f64 n)) (/.f64 1/3 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 1/3) (*.f64 (cbrt.f64 n) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/3) (*.f64 (cbrt.f64 n) (pow.f64 x 3/2))) (/.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) 1) (/.f64 (cbrt.f64 1/3) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 1/3) (*.f64 (sqrt.f64 n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/3) (*.f64 (sqrt.f64 n) x)) (/.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 n 1/3)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) n) (/.f64 (cbrt.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 n (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2))) (/.f64 (cbrt.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 n) (pow.f64 x 3/2)) (/.f64 1/3 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 n) (neg.f64 (pow.f64 x 3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 n) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (pow.f64 x 3) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/3 (pow.f64 x 3)) n))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 1/3 (pow.f64 x -3)) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 (*.f64 n n) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (pow.f64 x -3) n))))))))

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1348×	`distribute-lft-in`
1224×	`associate-+r+`
928×	`associate-*r/`
918×	`associate-+l+`
888×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1697
1	416	1673
2	1521	1633
3	5604	1633

Stop Event

1×	node limit

Counts

81 → 66

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.1b	(pow.f64 x (/.f64 2 n))
✓	3.1b	(-.f64 1 (pow.f64 x (/.f64 2 n)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`associate-/l*`
1198×	`associate-/r/`
788×	`distribute-lft-in`
676×	`associate-/l/`
308×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	298	51
2	4180	51

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-r`
828×	`times-frac`
678×	`associate-l`
656×	`associate-/l*`
600×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	538	12957
1	1666	11637

Stop Event

1×	node limit

Counts

239 → 293

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 1/2 (*.f64 n n))
✓	3.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	5.0b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
✓	12.4b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))

Compiler

Compiled 109 to 34 computations (68.8% saved)

series18.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
3.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	x	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))
1.0ms	n	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))
1.0ms	n	@	inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))

rewrite117.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`associate-/r/`
434×	`add-sqr-sqrt`
422×	`pow1`
422×	`*-un-lft-identity`
404×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	424	114
2	6471	114

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (/.f64 -1/2 n)) (/.f64 (.f64 (pow.f64 x (/.f64 1 n)) 1/2) (pow.f64 (.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (pow.f64 x (/.f64 1 n)) 1/2) (pow.f64 (.f64 x n) 2)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (pow.f64 x (/.f64 1 n)) 1/2) (pow.f64 (.f64 x n) 2)) 1) (.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (/.f64 -1/2 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (/.f64 -1/2 n)) 1) (.f64 (/.f64 (.f64 (pow.f64 x (/.f64 1 n)) 1/2) (pow.f64 (.f64 x n) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x (/.f64 1 n)) 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n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 n (pow.f64 x (/.f64 1 n))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (.f64 x n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (.f64 x n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (pow.f64 n -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 1 (.f64 n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 n) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 n -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 n) (/.f64 1/2 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 n (neg.f64 n))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 n -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 n n) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/8 (pow.f64 (pow.f64 n -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 n -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))))))

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

958×	`times-frac`
854×	`associate-/l*`
822×	`associate-/r*`
782×	`+-commutative`
758×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	548	12447
1	1566	12117
2	7489	12117

Stop Event

1×	node limit

Counts

259 → 285

Calls

Call 1

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

eval671.0ms (2.5%)

Compiler: Compiled 30168 to 17533 computations (41.9% saved)

prune373.0ms (1.4%)

Pruning

49 alts after pruning (43 fresh and 6 done)

	Pruned	Kept	Total
New	1201	10	1211
Fresh	3	33	36
Picked	1	0	1
Done	1	6	7
Total	1206	49	1255

Error

0.0b

Counts

1255 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	46.0b	(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
	47.0b	(pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -2)
	40.9b	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
	20.9b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	58.4b	(/.f64 (/.f64 (-.f64 (.f64 x (+.f64 (pow.f64 x 3) (.f64 1/3 x))) (*.f64 (pow.f64 x 4) (/.f64 1/2 x))) (pow.f64 x 5)) n)
	34.2b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)))
	40.8b	(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	38.3b	(/.f64 (/.f64 1 x) n)
	20.8b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
✓	38.3b	(/.f64 (/.f64 1 n) x)
	39.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	39.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
	27.1b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
	45.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	40.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
✓	40.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	48.6b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (+.f64 (/.f64 (log.f64 x) n) 1)))
	38.5b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) (*.f64 n n))) x)
	42.2b	(/.f64 (.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (neg.f64 x)) -1) n)
	42.2b	(/.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) n)
	33.8b	(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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))))))
	41.7b	(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 n x)))) (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))))))
	41.7b	(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (neg.f64 (+.f64 (.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))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
	38.7b	(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (neg.f64 (+.f64 (.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 1 x) (/.f64 2 n))))))
✓	20.7b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
	45.9b	(/.f64 (neg.f64 (log.f64 x)) n)
✓	20.7b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	36.7b	(/.f64 (log.f64 1) n)
	25.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	21.0b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	38.9b	(/.f64 1 (*.f64 x n))
	46.2b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
	46.1b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
	39.9b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	53.5b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
	47.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	31.1b	(-.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)))))
	43.7b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	46.4b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	34.1b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	33.2b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (/.f64 -1/2 n) (.f64 x x)))
	46.4b	(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
	43.9b	(.f64 (/.f64 (/.f64 1 n) (.f64 x x)) (/.f64 1/3 x))
	43.9b	(.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/3 (.f64 x x)))
	40.8b	(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x (/.f64 1 n)))) (+.f64 -1 (pow.f64 x (/.f64 2 n))))
	38.4b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	20.7b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))

Compiler

Compiled 946 to 673 computations (28.9% saved)

regimes559.0ms (2.1%)

Counts

75 → 4

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/3 (.f64 x x)))
(.f64 (/.f64 (/.f64 1 n) (.f64 x x)) (/.f64 1/3 x))
(/.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (neg.f64 x)) -1) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x 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 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) (*.f64 n n))) x)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 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))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (+.f64 (/.f64 (log.f64 x) n) 1)))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x (/.f64 1 n)))) (+.f64 -1 (pow.f64 x (/.f64 2 n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (/.f64 -1/2 n) (.f64 x x)))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(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)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (.f64 x (+.f64 (pow.f64 x 3) (.f64 1/3 x))) (*.f64 (pow.f64 x 4) (/.f64 1/2 x))) (pow.f64 x 5)) n)
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(/.f64 (-.f64 (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 -1 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (/.f64 (.f64 3 (log.f64 x)) n)) (.f64 n x)))) (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 (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 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (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 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -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)))))
(/.f64 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (neg.f64 (+.f64 (.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 1 x) (/.f64 2 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))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 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 (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 (neg.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))) (neg.f64 (+.f64 (.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))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (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)))
(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))

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

Calls

4 calls:

202.0ms	n
193.0ms	(/.f64 1 n)
120.0ms	x
8.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
8.0b	4	`x`
8.2b	7	`n`
12.9b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.0b	6	`(/.f64 1 n)`

Compiler

Compiled 1495 to 872 computations (41.7% saved)

bsearch230.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
51.0ms	0.00018456888559557035	3.1511612501522808
88.0ms	7.788555989817537e-159	9.606117755202243e-150
90.0ms	6.542909908470707e-175	5.994558243010599e-171

Results

89.0ms	154×	body	1024	valid
53.0ms	127×	body	512	valid
27.0ms	124×	body	256	infinite
20.0ms	100×	body	256	valid
17.0ms	19×	body	2048	valid
13.0ms	14×	body	1024	infinite
2.0ms	12×	body	256	unsamplable

Compiler

Compiled 1438 to 994 computations (30.9% saved)

regimes697.0ms (2.6%)

Counts

72 → 4

Calls

Call 1

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

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

Calls

4 calls:

242.0ms	n
229.0ms	(/.f64 1 n)
187.0ms	x
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
8.1b	4	`x`
8.4b	7	`n`
12.9b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.1b	6	`(/.f64 1 n)`

Compiler

Compiled 1294 to 738 computations (43% saved)

bsearch253.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
50.0ms	0.00018456888559557035	3.1511612501522808
117.0ms	7.788555989817537e-159	9.606117755202243e-150
84.0ms	6.542909908470707e-175	5.994558243010599e-171

Results

90.0ms	175×	body	1024	valid
72.0ms	115×	body	512	valid
27.0ms	27×	body	2048	valid
21.0ms	86×	body	256	infinite
16.0ms	83×	body	256	valid
14.0ms	16×	body	1024	infinite
2.0ms	12×	body	256	unsamplable
1.0ms	1×	body	512	infinite

Compiler

Compiled 843 to 637 computations (24.4% saved)

regimes583.0ms (2.2%)

Counts

45 → 4

Calls

Call 1

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

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

Calls

4 calls:

343.0ms	n
137.0ms	(/.f64 1 n)
84.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
8.2b	4	`x`
8.4b	7	`n`
12.9b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.2b	6	`(/.f64 1 n)`

Compiler

Compiled 539 to 316 computations (41.4% saved)

bsearch296.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
105.0ms	0.00018456888559557035	3.1511612501522808
98.0ms	7.788555989817537e-159	9.606117755202243e-150
93.0ms	6.542909908470707e-175	5.994558243010599e-171

Results

99.0ms	156×	body	1024	valid
67.0ms	23×	body	2048	valid
50.0ms	113×	body	512	valid
29.0ms	108×	body	256	valid
28.0ms	115×	body	256	infinite
13.0ms	12×	body	1024	infinite
2.0ms	9×	body	256	unsamplable
1.0ms	2×	body	512	infinite

Compiler

Compiled 809 to 603 computations (25.5% saved)

regimes373.0ms (1.4%)

Counts

44 → 4

Calls

Call 1

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

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

Calls

4 calls:

151.0ms	(/.f64 1 n)
131.0ms	n
73.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
8.2b	4	`x`
8.4b	7	`n`
12.9b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.2b	6	`(/.f64 1 n)`

Compiler

Compiled 518 to 301 computations (41.9% saved)

bsearch361.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
74.0ms	0.00018456888559557035	3.1511612501522808
149.0ms	7.788555989817537e-159	9.606117755202243e-150
138.0ms	6.542909908470707e-175	5.994558243010599e-171

Results

169.0ms	158×	body	1024	valid
73.0ms	102×	body	256	infinite
46.0ms	107×	body	512	valid
22.0ms	24×	body	2048	valid
21.0ms	111×	body	256	valid
20.0ms	11×	body	1024	infinite
3.0ms	18×	body	256	unsamplable
1.0ms	1×	body	512	infinite

Compiler

Compiled 622 to 484 computations (22.2% saved)

regimes468.0ms (1.8%)

Counts

41 → 4

Calls

Call 1

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

Calls

4 calls:

195.0ms	(/.f64 1 n)
153.0ms	n
69.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
8.2b	4	`x`
8.4b	7	`n`
12.9b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.2b	6	`(/.f64 1 n)`

Compiler

Compiled 484 to 282 computations (41.7% saved)

bsearch281.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
94.0ms	0.00018456888559557035	3.1511612501522808
92.0ms	7.788555989817537e-159	9.606117755202243e-150
94.0ms	6.542909908470707e-175	5.994558243010599e-171

Results

101.0ms	166×	body	1024	valid
97.0ms	113×	body	512	valid
22.0ms	24×	body	2048	valid
21.0ms	79×	body	256	infinite
19.0ms	97×	body	256	valid
8.0ms	10×	body	1024	infinite
2.0ms	8×	body	256	unsamplable
1.0ms	1×	body	512	infinite

Compiler

Compiled 571 to 433 computations (24.2% saved)

regimes348.0ms (1.3%)

Counts

29 → 7

Calls

Call 1

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

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

Calls

3 calls:

148.0ms	x
114.0ms	n
79.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
15.5b	7	`x`
9.4b	7	`n`
9.4b	6	`(/.f64 1 n)`

Compiler

Compiled 312 to 182 computations (41.7% saved)

bsearch480.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
63.0ms	123133556.27267806	65288379298.76711
98.0ms	-9.796324147911316e-308	4.4030683660778003e-293
16.0ms	-6.219741593982473e+69	-5.6576855924762464e+69
105.0ms	-4.776505720266189e+110	-9.377241556915456e+106
89.0ms	-1.4155857691499024e+134	-6.788452585684674e+129
109.0ms	-2.337221218324858e+226	-7.281629076904613e+224

Results

145.0ms	126×	body	2048	valid
141.0ms	215×	body	1024	valid
85.0ms	137×	body	512	valid
46.0ms	27×	body	1024	infinite
34.0ms	88×	body	256	unsamplable
11.0ms	55×	body	256	valid
6.0ms	12×	body	512	infinite
5.0ms	22×	body	256	infinite

Compiler

Compiled 709 to 523 computations (26.2% saved)

regimes321.0ms (1.2%)

Counts

20 → 7

Calls

Call 1

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

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

Calls

3 calls:

165.0ms	n
97.0ms	x
55.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
15.5b	7	`x`
9.5b	7	`n`
9.5b	6	`(/.f64 1 n)`

Compiler

Compiled 190 to 117 computations (38.4% saved)

bsearch364.0ms (1.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
45.0ms	123133556.27267806	65288379298.76711
44.0ms	-9.796324147911316e-308	4.4030683660778003e-293
18.0ms	-6.219741593982473e+69	-5.6576855924762464e+69
77.0ms	-4.776505720266189e+110	-9.377241556915456e+106
77.0ms	-1.4155857691499024e+134	-6.788452585684674e+129
103.0ms	-2.337221218324858e+226	-7.281629076904613e+224

Results

125.0ms	190×	body	1024	valid
96.0ms	117×	body	2048	valid
74.0ms	155×	body	512	valid
22.0ms	21×	body	1024	infinite
18.0ms	65×	body	256	unsamplable
16.0ms	66×	body	256	valid
2.0ms	11×	body	256	infinite
2.0ms	4×	body	512	infinite

Compiler

Compiled 677 to 507 computations (25.1% saved)

regimes205.0ms (0.8%)

Counts

19 → 7

Calls

Call 1

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

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

Calls

3 calls:

70.0ms	x
67.0ms	(/.f64 1 n)
64.0ms	n

Results

Error	Segments	Branch
15.5b	7	`x`
9.5b	7	`n`
9.5b	6	`(/.f64 1 n)`

Compiler

Compiled 180 to 110 computations (38.9% saved)

bsearch640.0ms (2.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
40.0ms	123133556.27267806	65288379298.76711
341.0ms	-9.796324147911316e-308	4.4030683660778003e-293
26.0ms	-6.219741593982473e+69	-5.6576855924762464e+69
67.0ms	-4.776505720266189e+110	-9.377241556915456e+106
75.0ms	-1.4155857691499024e+134	-6.788452585684674e+129
90.0ms	-2.337221218324858e+226	-7.281629076904613e+224

Results

153.0ms	152×	body	1024	infinite
132.0ms	142×	body	2048	valid
106.0ms	189×	body	1024	valid
104.0ms	496×	body	256	unsamplable
71.0ms	151×	body	512	valid
33.0ms	71×	body	512	infinite
20.0ms	86×	body	256	infinite
12.0ms	64×	body	256	valid

Compiler

Compiled 684 to 509 computations (25.6% saved)

regimes197.0ms (0.7%)

Counts

17 → 8

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	n
65.0ms	x
60.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
16.0b	7	`x`
13.9b	9	`n`
13.9b	8	`(/.f64 1 n)`

Compiler

Compiled 163 to 99 computations (39.3% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	1.5316661414183453e-11	8.121263043727168e-9
0.0ms	5.1257851289918456e-157	1.2290359959989838e-152
0.0ms	8.656213152888047e-185	1.5836277260765863e-183
0.0ms	5.135184067200976e-238	2.5366455048258055e-237
0.0ms	1.2179194771466224e-270	1.817300836858039e-269
0.0ms	-1.7675071964582635e-70	-1.6077838361765515e-70
0.0ms	-2539130.355580057	-1.099096597521743

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes194.0ms (0.7%)

Counts

15 → 5

Calls

Call 1

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

Calls

3 calls:

98.0ms	n
48.0ms	(/.f64 1 n)
44.0ms	x

Results

Error	Segments	Branch
17.2b	5	`x`
21.7b	8	`n`
21.8b	7	`(/.f64 1 n)`

Compiler

Compiled 149 to 89 computations (40.3% saved)

bsearch318.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
37.0ms	5.969174692016984e+178	1.0474801665613856e+179
86.0ms	7.356406491102776e+119	6.31998620116576e+122
106.0ms	7.250027592598227e+86	2.3830169901872073e+89
89.0ms	0.00018456888559557035	3.1511612501522808

Results

124.0ms	190×	body	1024	valid
78.0ms	121×	body	2048	valid
48.0ms	49×	body	512	valid
44.0ms	88×	body	256	valid
9.0ms	49×	body	256	infinite
6.0ms	35×	body	256	unsamplable
1.0ms	3×	body	512	infinite

Compiler

Compiled 740 to 527 computations (28.8% saved)

regimes207.0ms (0.8%)

Counts

14 → 5

Calls

Call 1

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

Calls

3 calls:

93.0ms	(/.f64 1 n)
69.0ms	n
41.0ms	x

Results

Error	Segments	Branch
17.6b	5	`x`
21.9b	8	`n`
22.0b	7	`(/.f64 1 n)`

Compiler

Compiled 143 to 87 computations (39.2% saved)

bsearch267.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
40.0ms	5.969174692016984e+178	1.0474801665613856e+179
64.0ms	7.356406491102776e+119	6.31998620116576e+122
102.0ms	7.250027592598227e+86	2.3830169901872073e+89
60.0ms	0.00018456888559557035	3.1511612501522808

Results

122.0ms	180×	body	1024	valid
78.0ms	119×	body	2048	valid
18.0ms	100×	body	256	valid
16.0ms	76×	body	256	infinite
16.0ms	49×	body	512	valid
7.0ms	39×	body	256	unsamplable
1.0ms	2×	body	1024	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 732 to 527 computations (28% saved)

regimes82.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
21.0ms	n
14.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
33.0b	4	`x`
25.4b	3	`n`
25.5b	2	`(/.f64 1 n)`

Compiler

Compiled 138 to 84 computations (39.1% saved)

bsearch204.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
168.0ms	8.541764467344952e-112	5.037903206788697e-104
35.0ms	-0.9098381363883873	-3.9383562872318657e-7

Results

79.0ms	331×	body	256	unsamplable
74.0ms	171×	body	512	valid
21.0ms	99×	body	256	infinite
20.0ms	116×	body	256	valid
6.0ms	12×	body	512	infinite
0.0ms	1×	body	1024	valid

Compiler

Compiled 290 to 231 computations (20.3% saved)

regimes56.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(/.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) n)
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

20.0ms	n
18.0ms	x
14.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.1b	2	`x`
30.3b	3	`n`
30.3b	2	`(/.f64 1 n)`

Compiler

Compiled 134 to 81 computations (39.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.099096597521743	-0.005947540469005074

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes40.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/3 (.f64 x x)))
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

14.0ms	n
13.0ms	x
10.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.1b	2	`x`
32.1b	3	`n`
32.1b	2	`(/.f64 1 n)`

Compiler

Compiled 66 to 43 computations (34.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.099096597521743	-0.005947540469005074

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	n
12.0ms	x
9.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
35.4b	2	`x`
32.6b	3	`n`
32.6b	2	`(/.f64 1 n)`

Compiler

Compiled 44 to 30 computations (31.8% saved)

bsearch78.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	-1.3024352360156807e-186	-9.688270730167236e-189
38.0ms	-0.9098381363883873	-3.9383562872318657e-7

Results

41.0ms	230×	body	256	valid
26.0ms	112×	body	256	infinite
7.0ms	24×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 340 to 271 computations (20.3% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.7%)

Threshold costs -0.7b (-1.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
38.3b	1	`x`
38.3b	1	`n`
38.3b	1	`(/.f64 1 n)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

70×	`+-commutative`
46×	`*-commutative`
44×	`sub-neg`
38×	`distribute-lft-neg-in`
32×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2235
1	277	2235
2	319	2235
3	357	2235
4	392	2235
5	410	2235
6	414	2235

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 x 6980579422424269/2251799813685248) (-.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))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 x 6980579422424269/2251799813685248) (.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))))
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (if (<=.f64 x 6980579422424269/2251799813685248) (.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))))
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3) (if (<=.f64 x 3715469692580659/2251799813685248) (.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))))
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 6980579422424269/2251799813685248) (.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))))
(if (<=.f64 n -5300000000000000229010597894304279851469352653981257590700933429568248713430342582324963269227636809092658907041184444631454542497196167310414409542840586874813231533170230102196888784066491890404823364633088124208715678089216) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) (if (<=.f64 n -1300000000000000003839240101627451217704207545034675907611215602659148564344596888759644522781388286046189431082545233865137497047040) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -259999999999999999453076066431422509160435694934938926280325627845213327716697026031123790949535153846445146112) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -5799999999999999654434560579925134552545058000795235532636057809977344) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -4956995204165175/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 17000000000) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))))
(if (<=.f64 n -740000000000000006232654244410231933212102995611847802718255113614043786264489167467025012669418380217989020096325667042906718252981630543068894164633890865563036928445813345266430892512296647793073692396955609941562431111168) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) (if (<=.f64 n -2400000000000000104077381594129397232140789560417527965016987009131835301431978020468812710358773725412697423253722009121184278380544) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -520000000000000022894287790177753170218087816578715077102743059500491942924583983659441767912123359708577792) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -5999999999999999668940847856230981577776732882724539923739699841073152) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -4956995204165175/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 4100000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))))
(if (<=.f64 n -1849999999999999974486823880178911807710024029028614307183608074479063688330903363443092576227602027781952735572154392396462351443561750474707920957023759483221539425396714222890892300589768196110311122521117796171927548592128) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -41999999999999998078163589239788926395955007793663427905222041965589684319971741954860654139043532110366910692873149282991065792512) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -136000000000000002537938033201870392573492176949750897572322942104032316302947493188926408870122961513499066368) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -5799999999999999654434560579925134552545058000795235532636057809977344) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 747848114037707/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 2800000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))))
(if (<=.f64 (/.f64 1 n) -2000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -5284059386853983/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 3665779701564795/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n) (if (<=.f64 (/.f64 1 n) 7729075046034517/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 6189700196426901/309485009821345068724781056) (/.f64 (/.f64 1 n) x) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))))
(if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 235000000000000010781671492193755032108540339610949020338453481374193440291945604861394944) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (if (<=.f64 x 779999999999999967201465691041940584620511335694014588212908264465894055377478110460614188581758042483586190315297439744) (/.f64 (log.f64 1) n) (if (<=.f64 x 77999999999999994732432546255641653878775545217709585513445864429894285461507416105181295484230519141107425067959088115233400015381998648110318528664477033582460298869401247023104) (/.f64 (/.f64 1 n) x) (.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/3 (*.f64 x x)))))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 225999999999999999662415051027103625233678619975142604502780500594409877194946706629722112) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (if (<=.f64 x 1160000000000000028407742142753882381979284168057486049021544298010021285063566207744920456509699411690957692187877310464) (/.f64 (log.f64 1) n) (if (<=.f64 x 89999999999999993922037553371894216013971782943511060207822151265262637070970095505978417866419829778200875078414332440653923094671536901665752148459011961825915729464693746565120) (/.f64 (/.f64 1 n) x) (.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/3 (*.f64 x x)))))))
(if (<=.f64 n -8106479329266893/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 (/.f64 1 n) -1) (/.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) n) (/.f64 (/.f64 1 n) x))
(if (<=.f64 (/.f64 1 n) -1) (.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/3 (.f64 x x))) (/.f64 (/.f64 1 n) x))
(if (<=.f64 n -8106479329266893/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -3135285318820699/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))

Outputs
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 x 6980579422424269/2251799813685248) (-.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))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 x 6980579422424269/2251799813685248) (-.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 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 x 6980579422424269/2251799813685248) (+.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 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2) (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 3154534766937343/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (if (<=.f64 x 6980579422424269/2251799813685248) (.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))))
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(if (or (<=.f64 n -8106479329266893/9007199254740992) (not (<=.f64 n -3135285318820699/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136))) (/.f64 (/.f64 1 n) x) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 x n)))))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))

Compiler

Compiled 855 to 581 computations (32% saved)

soundness505.0ms (1.9%)

Algorithm

6×	egg-herbie

Rules

1366×	`associate-*r/`
1358×	`distribute-lft-in`
1348×	`associate-+r+`
1086×	`+-commutative`
1080×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	15302
1	1365	14436
2	5892	14428
0	449	9154
1	1298	8822
2	6780	8798
0	120	1976
1	306	1798
2	1081	1774
3	4476	1774
0	538	12957
1	1666	11637
0	488	15302
1	1365	14436
2	5892	14428
0	488	15302
1	1365	14436
2	5892	14428

Stop Event

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

Compiler

Compiled 660 to 476 computations (27.9% saved)

end376.0ms (1.4%)

Compiler: Compiled 823 to 506 computations (38.5% saved)