Details

analyze1.0s (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)

sample7.2s (35.9%)

Results

2.1s	2816×	body	1024	valid
1.5s	1766×	body	2048	valid
1.3s	1529×	body	1024	invalid
602.0ms	1221×	body	512	valid
559.0ms	2453×	body	256	valid
322.0ms	707×	body	512	invalid
202.0ms	824×	body	256	infinite
189.0ms	197×	body	1024	infinite
171.0ms	1327×	body	256	invalid
142.0ms	239×	body	512	infinite
77.0ms	326×	body	256	unsamplable
7.0ms	6×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess57.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify76.0ms (0.4%)

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

32.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(-.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))
✓	0.1b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	2.6b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series48.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
13.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
8.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
1.0ms	n	@	inf	(pow.f64 (+.f64 x 1) (/.f64 1 n))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite124.0ms (0.6%)

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))))))))

simplify163.0ms (0.8%)

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))

eval255.0ms (1.3%)

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

prune75.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	305	14	319
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	305	15	320

Error

0.6b

Counts

320 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	22.3b	(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)))))
▶	31.9b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
	43.1b	(/.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))))
▶	18.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	43.1b	(/.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))))))
▶	26.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	32.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
	51.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	55.8b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
	31.9b	(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	31.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	43.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	31.7b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	34.3b	(+.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)))))
	32.4b	(*.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 763 to 503 computations (34.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	3.1b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series54.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
16.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite84.0ms (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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simplify134.0ms (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)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	5.2b	(-.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	@	-inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 1 (pow.f64 x (/.f64 1 n)))

rewrite55.0ms (0.3%)

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)))))))))

simplify77.0ms (0.4%)

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)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 7 computations (74.1% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-/l*`
1366×	`associate-*r/`
1066×	`*-commutative`
948×	`associate-*l/`
332×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	203	49
2	2768	49

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 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simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-/l/`
972×	`associate-/r/`
608×	`distribute-lft-neg-in`
584×	`associate-r`
576×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	5569
1	841	4523
2	4161	4507

Stop Event

1×	node limit

Counts

193 → 205

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1/2 (*.f64 n n))
✓	2.5b	(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
	2.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	5.2b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))

Compiler

Compiled 115 to 41 computations (64.3% saved)

series8.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`associate-/l/`
1474×	`associate-/r/`
388×	`add-sqr-sqrt`
376×	`pow1`
376×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	101
1	379	91
2	5543	91

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

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

Outputs

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

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

simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/r*`
1320×	`associate-/l*`
1284×	`associate-l`
1050×	`*-commutative`
560×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	17932
1	2330	17238

Stop Event

1×	node limit

Counts

292 → 381

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))
✓	0.0b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
✓	0.1b	(/.f64 (log1p.f64 x) n)
✓	2.6b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))

Compiler

Compiled 62 to 28 computations (54.8% saved)

series62.0ms (0.3%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
16.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
7.0ms	n	@	inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
5.0ms	n	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)

rewrite154.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-*r/`
954×	`associate-*l/`
820×	`associate-/r*`
690×	`associate-/l*`
536×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	324	114
2	3838	114

Stop Event

1×	node limit

Counts

4 → 335

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))
(/.f64 (log1p.f64 x) n)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))

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))) 1) 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simplify255.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-r`
702×	`+-commutative`
678×	`associate-l`
640×	`*-commutative`
600×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	780	36029
1	2222	34477

Stop Event

1×	node limit

Counts

399 → 411

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

eval913.0ms (4.6%)

Compiler: Compiled 47451 to 23861 computations (49.7% saved)

prune428.0ms (2.1%)

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	1417	31	1448
Fresh	4	5	9
Picked	1	0	1
Done	3	2	5
Total	1425	38	1463

Error

0.0b

Counts

1463 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	18.1b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	27.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	18.5b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
▶	43.1b	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
	32.1b	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
	18.2b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	26.9b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	49.7b	(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (.f64 x n))) (sqrt.f64 (.f64 x n)))
	43.1b	(/.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))))
	42.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	18.1b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	37.4b	(/.f64 (/.f64 1 x) n)
	37.4b	(/.f64 (/.f64 1 n) x)
	38.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
▶	38.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
	41.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	43.1b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	43.1b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
▶	37.7b	(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 x n))
	41.4b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	18.0b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	18.4b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	37.8b	(/.f64 1 (*.f64 x n))
✓	32.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
	38.5b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	51.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	55.8b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
	41.7b	(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
	31.9b	(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	31.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	43.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	31.9b	(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (.f64 x n))) (pow.f64 (cbrt.f64 (.f64 x n)) 2)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)))
	43.1b	(*.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)))))
	43.0b	(*.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)))
	26.5b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	26.5b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
	42.9b	(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
	18.1b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))

Compiler

Compiled 1164 to 808 computations (30.6% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	3.2b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series22.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
7.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	x	@	-inf	(/.f64 (+.f64 x 1) x)
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

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

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 259

Calls

Call 1

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

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
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(+.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
✓	0.6b	(/.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	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 x n))
0.0ms	n	@	-inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	0	(/.f64 1 (*.f64 x n))

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.3%)

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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 x) n)
✓	0.6b	(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 x n))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`associate-/l*`
546×	`associate-/l/`
486×	`distribute-rgt-in`
458×	`distribute-lft-in`
456×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	230	29
2	3206	29

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1432×	`times-frac`
1256×	`associate-/l*`
942×	`associate-/r*`
858×	`distribute-lft-in`
760×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2963
1	525	2911
2	1984	2875

Stop Event

1×	node limit

Counts

81 → 86

Calls

Call 1

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

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

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/3 (pow.f64 x 3))
✓	0.3b	(/.f64 1/4 (pow.f64 x 4))
✓	1.5b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
✓	19.3b	(-.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))))

Compiler

Compiled 101 to 75 computations (25.7% saved)

series8.0ms (0%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	n	@	0	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
1.0ms	n	@	inf	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)
0.0ms	x	@	0	(/.f64 1/4 (pow.f64 x 4))
0.0ms	x	@	0	(/.f64 1/3 (pow.f64 x 3))
0.0ms	n	@	-inf	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n)

rewrite152.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`+-commutative`
504×	`add-sqr-sqrt`
482×	`add-cbrt-cube`
482×	`add-cube-cbrt`
480×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	154
1	509	138
2	7793	138

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (pow.f64 x -3)) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (.f64 (-.f64 (.f64 1/3 (pow.f64 x -3)) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (neg.f64 (fma.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) (fma.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)) (neg.f64 (fma.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 (neg.f64 (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) 1 (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) (fma.f64 (neg.f64 (hypot.f64 (.f64 1/2 (pow.f64 x -2)) (/.f64 (sqrt.f64 1/2) x))) (hypot.f64 (.f64 1/2 (pow.f64 x -2)) (/.f64 (sqrt.f64 1/2) x)) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) 2) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (.f64 1/2 (pow.f64 x -2))) (neg.f64 (.f64 1/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (.f64 1/2 (pow.f64 x -2))) (.f64 -1 (.f64 1/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (.f64 1/2 (pow.f64 x -2))) (.f64 -1/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (.f64 1/2 (pow.f64 x -2))) (.f64 (neg.f64 (.f64 1/2 (pow.f64 x -2))) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (.f64 1/2 (pow.f64 x -2))) (.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 8)))) (cbrt.f64 (.f64 1/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/3 (pow.f64 x -3)) (fma.f64 1/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) (/.f64 1 x))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/4 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 x -2)) (.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/4 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/2) x) (.f64 (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 8))) (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 1/16 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -4))) (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/4 (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/2 (pow.f64 x -2)) (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/2 (pow.f64 x -2)) (/.f64 1/2 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/2 (pow.f64 x -2)) (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 pow.f64 (.f64 1/2 (pow.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 4) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/64 (pow.f64 (pow.f64 x -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/64 (pow.f64 (pow.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -4))))))))
((#(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 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 -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 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 (pow.f64 x 3) 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))))))))

simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1196×	`+-commutative`
852×	`associate-+l-`
812×	`associate-+r-`
732×	`associate-r`
674×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	467	12875
1	1330	12431
2	6324	12431

Stop Event

1×	node limit

Counts

199 → 270

Calls

Call 1

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (pow.f64 n -1))
✓	0.1b	(cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))
✓	0.1b	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
✓	5.2b	(-.f64 1 (pow.f64 x (pow.f64 n -1)))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series13.0ms (0.1%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
1.0ms	n	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)

rewrite138.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`*-commutative`
816×	`unswap-sqr`
556×	`swap-sqr`
524×	`associate-*r/`
464×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	274	74
2	2970	74

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x (pow.f64 n -1)))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
(cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))
(pow.f64 x (pow.f64 n -1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1/6) (.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1/6) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)))))) (#(struct:change #<rule 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(pow.f64 x (/.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1/6) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)) (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))))) 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simplify218.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1740×	`associate-/l*`
786×	`associate-*r/`
768×	`associate-+r+`
708×	`associate-+l+`
608×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	16701
1	1159	14431
2	4154	14267

Stop Event

1×	node limit

Counts

327 → 282

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

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

eval670.0ms (3.4%)

Compiler: Compiled 23807 to 16396 computations (31.1% saved)

prune268.0ms (1.3%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	995	13	1008
Fresh	10	21	31
Picked	1	0	1
Done	2	4	6
Total	1008	38	1046

Error

Counts

1046 → 38

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.1b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	18.1b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	50.1b	(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
	43.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))) 3)
	41.8b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
	43.1b	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
	26.9b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	42.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	18.1b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	37.4b	(/.f64 (/.f64 1 x) n)
▶	37.4b	(/.f64 (/.f64 1 n) x)
	38.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	22.9b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
	42.9b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))
▶	41.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	43.1b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	43.1b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
✓	37.7b	(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 x n))
	41.4b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	16.9b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
▶	32.0b	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
	38.1b	(/.f64 (log.f64 1) n)
✓	37.8b	(/.f64 1 (*.f64 x n))
✓	32.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
	38.5b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	51.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	55.8b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
	44.0b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	41.7b	(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
	31.9b	(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	31.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	43.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	31.9b	(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (.f64 x n))) (pow.f64 (cbrt.f64 (.f64 x n)) 2)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)))
	43.1b	(*.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)))))
	26.5b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	26.5b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
	37.4b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	18.0b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))

Compiler

Compiled 979 to 703 computations (28.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 (/.f64 1 x) 0))
✓	0.2b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)

Compiler

Compiled 28 to 21 computations (25% saved)

series65.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	n	@	0	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
4.0ms	n	@	inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	n	@	-inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	x	@	-inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	x	@	0	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 118

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (.f64 -1/2 (.f64 x x)) n)))
(+.f64 (/.f64 x n) (-.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (.f64 -1/2 (.f64 x x)) n))))
(+.f64 (-.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x))))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (pow.f64 x -1) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 (pow.f64 x -1) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 (/.f64 -1/2 x) x) n) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (pow.f64 x -1) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 (pow.f64 x -1) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(/.f64 (log1p.f64 (pow.f64 x -1)) n)
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(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log1p.f64 (pow.f64 x -1)) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (log1p.f64 (/.f64 1 x))) (cbrt.f64 n))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (log1p.f64 (pow.f64 x -1)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (log1p.f64 (/.f64 1 x))) (cbrt.f64 n))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (log1p.f64 (pow.f64 x -1)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) (pow.f64 (cbrt.f64 n) 2))
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(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2)))
(pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
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(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
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(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
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(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1)
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(*.f64 1 (log1p.f64 (pow.f64 x -1)))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(*.f64 (log1p.f64 (pow.f64 x -1)) 1)
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(log1p.f64 (/.f64 1 x))
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(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1))))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(pow.f64 (log1p.f64 (pow.f64 x -1)) 1)
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2)
(log1p.f64 (/.f64 1 x))
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(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3)
(log1p.f64 (/.f64 1 x))
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(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2))
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(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3))
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(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1))))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1))))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1))
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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	n	@	-inf	(/.f64 (/.f64 1 n) x)
0.0ms	n	@	inf	(/.f64 (/.f64 1 n) x)
0.0ms	x	@	-inf	(/.f64 (/.f64 1 n) x)
0.0ms	x	@	inf	(/.f64 (/.f64 1 n) x)

rewrite53.0ms (0.3%)

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
✓	0.0b	(-.f64 x (log.f64 x))
✓	0.1b	(/.f64 (-.f64 x (log.f64 x)) n)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	173	28
2	2505	28

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 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simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-+r+`
1212×	`associate-+l+`
988×	`+-commutative`
682×	`associate-/l*`
658×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	7202
1	1205	6914
2	6541	6890

Stop Event

1×	node limit

Counts

190 → 248

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
✓	15.0b	(pow.f64 (*.f64 x n) -1/2)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series69.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(pow.f64 (*.f64 x n) -1/2)
12.0ms	n	@	-inf	(pow.f64 (*.f64 x n) -1/2)
12.0ms	x	@	-inf	(pow.f64 (*.f64 x n) -1/2)
11.0ms	n	@	0	(pow.f64 (*.f64 x n) -1/2)
9.0ms	x	@	inf	(pow.f64 (*.f64 x n) -1/2)

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`add-sqr-sqrt`
1644×	`*-un-lft-identity`
1538×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	194	26
2	2194	26

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-/r*`
1046×	`associate-+r+`
944×	`associate-/l/`
738×	`associate-+l+`
642×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2775
1	341	1963
2	986	1861
3	3722	1861

Stop Event

1×	node limit

Counts

97 → 91

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
✓	0.1b	(pow.f64 (/.f64 (+.f64 x 1) x) 3)
✓	3.2b	(log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3))
✓	18.6b	(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)

Compiler

Compiled 53 to 39 computations (26.4% saved)

series16.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	n	@	0	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
3.0ms	n	@	inf	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
1.0ms	x	@	0	(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`associate-/l*`
552×	`distribute-rgt-in`
514×	`distribute-lft-in`
390×	`associate-/r/`
382×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	312	68
2	3678	68

Stop Event

1×	node limit

Counts

4 → 323

Calls

Call 1

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

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

simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-l`
1286×	`associate-/l*`
984×	`associate-/r*`
830×	`*-commutative`
608×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	826	11789
1	2303	11243

Stop Event

1×	node limit

Counts

383 → 519

Calls

Call 1

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

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

eval537.0ms (2.7%)

Compiler: Compiled 17341 to 9686 computations (44.1% saved)

prune252.0ms (1.3%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1003	12	1015
Fresh	8	21	29
Picked	1	0	1
Done	2	6	8
Total	1014	39	1053

Error

Counts

1053 → 39

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.1b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	41.7b	(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
	50.1b	(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
	43.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))) 3)
	41.8b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
	43.1b	(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
	42.6b	(/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n)
	26.9b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	41.7b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n)
	37.4b	(/.f64 (/.f64 1 x) n)
✓	37.4b	(/.f64 (/.f64 1 n) x)
	38.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	43.1b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	43.1b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
✓	37.7b	(/.f64 (+.f64 (/.f64 (log.f64 x) n) 1) (*.f64 x n))
	18.0b	(/.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 1 (/.f64 1 x)))) 2/3) n)
	18.1b	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))))) n)
	41.4b	(/.f64 (neg.f64 (log.f64 x)) n)
	16.9b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	38.1b	(/.f64 (log.f64 1) n)
	16.1b	(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3)) n)
	61.1b	(/.f64 x n)
✓	37.8b	(/.f64 1 (*.f64 x n))
✓	32.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
	38.5b	(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
	51.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	55.8b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
	44.0b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	41.7b	(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
	31.9b	(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	31.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	43.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	43.1b	(*.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)))))
	26.5b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	26.5b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
	18.1b	(.f64 (/.f64 1 (/.f64 n 1/3)) (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))))
	37.4b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	41.7b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
	18.1b	(*.f64 1/3 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 3)))

Compiler

Compiled 489 to 362 computations (26% saved)

regimes350.0ms (1.8%)

Counts

71 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

134.0ms	(/.f64 1 n)
120.0ms	n
58.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
0.8b	3	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.8b	3	`(/.f64 1 n)`

Compiler

Compiled 1026 to 564 computations (45% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00017549189448742974	0.0011832067162783051
0.0ms	-8.025822822425193e-5	-8.55298910440004e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes395.0ms (2%)

Counts

69 → 3

Calls

Call 1

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

Outputs

(*.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 (log1p.f64 (/.f64 1 x)) n)

(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

142.0ms	x
140.0ms	n
84.0ms	(/.f64 1 n)
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
0.8b	3	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.8b	3	`(/.f64 1 n)`

Compiler

Compiled 907 to 502 computations (44.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00017549189448742974	0.0011832067162783051
0.0ms	-8.025822822425193e-5	-8.55298910440004e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes281.0ms (1.4%)

Counts

60 → 3

Calls

Call 1

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

Outputs

(*.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 (log1p.f64 (/.f64 1 x)) n)

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

Calls

4 calls:

111.0ms	(/.f64 1 n)
98.0ms	n
48.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
0.8b	3	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.8b	3	`(/.f64 1 n)`

Compiler

Compiled 673 to 371 computations (44.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00017549189448742974	0.0011832067162783051
0.0ms	-8.025822822425193e-5	-8.55298910440004e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes258.0ms (1.3%)

Counts

58 → 3

Calls

Call 1

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

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

Calls

4 calls:

116.0ms	n
71.0ms	(/.f64 1 n)
49.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
0.8b	3	`n`
10.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.8b	3	`(/.f64 1 n)`

Compiler

Compiled 617 to 343 computations (44.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00017549189448742974	0.0011832067162783051
0.0ms	-8.025822822425193e-5	-8.55298910440004e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes194.0ms (1%)

Counts

44 → 3

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	(/.f64 1 n)
51.0ms	n
43.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.4b	2	`x`
1.3b	3	`n`
11.8b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
1.3b	3	`(/.f64 1 n)`

Compiler

Compiled 450 to 265 computations (41.1% saved)

bsearch83.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	845.1608550240746	5698.268874017021
54.0ms	-11691818939481.113	-12459.781658845868

Results

33.0ms	65×	body	1024	valid
25.0ms	134×	body	256	valid
14.0ms	16×	body	2048	valid
7.0ms	25×	body	512	valid

Compiler

Compiled 395 to 300 computations (24.1% saved)

regimes154.0ms (0.8%)

Counts

36 → 4

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	n
47.0ms	(/.f64 1 n)
31.0ms	x

Results

Error	Segments	Branch
6.4b	2	`x`
1.4b	4	`n`
1.4b	3	`(/.f64 1 n)`

Compiler

Compiled 337 to 192 computations (43% saved)

bsearch352.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
30.0ms	845.1608550240746	5698.268874017021
283.0ms	-1.0284444013759202e-304	1.5361889896091019e-257
38.0ms	-1.1802025717487707e+21	-8235674936124322000.0

Results

136.0ms	130×	body	1024	infinite
70.0ms	378×	body	256	unsamplable
45.0ms	82×	body	1024	valid
33.0ms	60×	body	512	infinite
23.0ms	19×	body	2048	valid
19.0ms	101×	body	256	valid
13.0ms	59×	body	256	infinite
8.0ms	31×	body	512	valid

Compiler

Compiled 331 to 240 computations (27.5% saved)

regimes97.0ms (0.5%)

Counts

23 → 4

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	n
30.0ms	(/.f64 1 n)
22.0ms	x

Results

Error	Segments	Branch
6.4b	2	`x`
1.4b	4	`n`
1.4b	3	`(/.f64 1 n)`

Compiler

Compiled 197 to 117 computations (40.6% saved)

bsearch247.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	845.1608550240746	5698.268874017021
181.0ms	-1.0284444013759202e-304	1.5361889896091019e-257
39.0ms	-1.1802025717487707e+21	-8235674936124322000.0

Results

76.0ms	78×	body	1024	infinite
49.0ms	276×	body	256	unsamplable
44.0ms	72×	body	1024	valid
19.0ms	109×	body	256	valid
18.0ms	39×	body	512	infinite
17.0ms	15×	body	2048	valid
10.0ms	40×	body	256	infinite
9.0ms	32×	body	512	valid

Compiler

Compiled 303 to 226 computations (25.4% saved)

regimes139.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	x
31.0ms	n
23.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.2b	4	`x`
1.5b	4	`n`
1.5b	3	`(/.f64 1 n)`

Compiler

Compiled 136 to 83 computations (39% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00017549189448742974	0.0011832067162783051
0.0ms	-27817833072859384.0	-8.025822822425193e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes68.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
19.0ms	n
14.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.2b	4	`x`
6.5b	3	`n`
6.5b	2	`(/.f64 1 n)`

Compiler

Compiled 105 to 64 computations (39% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-27817833072859384.0	-8.025822822425193e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes153.0ms (0.8%)

Counts

11 → 5

Calls

Call 1

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

Calls

3 calls:

79.0ms	(/.f64 1 n)
38.0ms	n
34.0ms	x

Results

Error	Segments	Branch
13.5b	5	`x`
25.3b	4	`n`
24.1b	5	`(/.f64 1 n)`

Compiler

Compiled 93 to 58 computations (37.6% saved)

bsearch238.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
111.0ms	3.254275623687436e+166	1.5581685495058182e+169
31.0ms	1.986693402805651e+117	3.1342985765414044e+117
36.0ms	1.4486856235190964e+53	9.805691329440982e+53
59.0ms	0.06006466852011114	2.2076592493539513

Results

129.0ms	100×	body	2048	valid
67.0ms	168×	body	1024	valid
13.0ms	83×	body	256	valid
12.0ms	49×	body	512	valid
5.0ms	30×	body	256	unsamplable
5.0ms	24×	body	256	infinite

Compiler

Compiled 480 to 367 computations (23.5% saved)

regimes58.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
16.0ms	n
12.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
33.7b	4	`x`
26.9b	3	`n`
27.0b	2	`(/.f64 1 n)`

Compiler

Compiled 88 to 55 computations (37.5% saved)

bsearch198.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
122.0ms	1.1895839430523902e-76	4.564622014522159e-68
75.0ms	-12459.781658845868	-3.5948163085918267e-17

Results

73.0ms	169×	body	512	valid
46.0ms	258×	body	256	unsamplable
29.0ms	55×	body	256	infinite
26.0ms	51×	body	1024	valid
17.0ms	100×	body	256	valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

regimes84.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	n
15.0ms	x
13.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
36.3b	2	`x`
32.9b	3	`n`
32.9b	2	`(/.f64 1 n)`

Compiler

Compiled 84 to 52 computations (38.1% saved)

bsearch102.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	-4.510878143930544e-179	-1.2304266120775966e-193
45.0ms	-11691818939481.113	-12459.781658845868

Results

43.0ms	244×	body	256	valid
27.0ms	119×	body	256	infinite
13.0ms	29×	body	1024	valid
8.0ms	25×	body	512	valid
6.0ms	6×	body	2048	valid

Compiler

Compiled 400 to 319 computations (20.3% saved)

regimes50.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
37.4b	1	`x`
37.4b	1	`n`
37.4b	1	`(/.f64 1 n)`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes7.0ms (0%)

Accuracy

Total -23.7b remaining (-62.8%)

Threshold costs -23.7b (-62.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	n
3.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
28×	`sub-neg`
16×	`*-commutative`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1303
1	151	1303
2	171	1303
3	184	1303
4	189	1303
5	190	1303

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (*.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)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (*.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)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -550000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 5600) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 n -8400000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1529444745364757/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 4900) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8400000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1529444745364757/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 5500) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -20000000000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -20000000000000000) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000057362845038319508477021361913303400448) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (if (<=.f64 x 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368) (/.f64 (log.f64 1) n) (if (<=.f64 x 800000000000000030887195429935611522235216411930803511635390636548619128131941941361579134036345362748446007222905240243130618316293668070585334378989045059205814288384) (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 1) n)))))
(if (<=.f64 n -6530219459687219/1125899906842624) (/.f64 1 (*.f64 x n)) (if (<=.f64 n 75278419573747/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -12500) (/.f64 1 (.f64 x n)) (if (<=.f64 n -2568425733177917/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (*.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)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (*.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)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7378697629483821/147573952589676412928) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -550000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 5600) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (or (<=.f64 n -550000) (not (<=.f64 n 5600))) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(if (<=.f64 n -8400000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1529444745364757/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 4900) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8400000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1529444745364757/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 n 4900) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8400000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1529444745364757/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 5500) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8400000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1529444745364757/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 n 5500) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -20000000000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -20000000000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -20000000000000000) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 (/.f64 1 n) -20000000000000000) (/.f64 0 n) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000057362845038319508477021361913303400448) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (if (<=.f64 x 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368) (/.f64 (log.f64 1) n) (if (<=.f64 x 800000000000000030887195429935611522235216411930803511635390636548619128131941941361579134036345362748446007222905240243130618316293668070585334378989045059205814288384) (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000057362845038319508477021361913303400448) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (if (<=.f64 x 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368) (/.f64 0 n) (if (<=.f64 x 800000000000000030887195429935611522235216411930803511635390636548619128131941941361579134036345362748446007222905240243130618316293668070585334378989045059205814288384) (/.f64 1 (*.f64 n x)) (/.f64 0 n)))))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 950000000000000057362845038319508477021361913303400448) (/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n) (if (<=.f64 x 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368) (/.f64 0 n) (if (<=.f64 x 800000000000000030887195429935611522235216411930803511635390636548619128131941941361579134036345362748446007222905240243130618316293668070585334378989045059205814288384) (/.f64 1 (*.f64 n x)) (/.f64 0 n)))))
(if (<=.f64 n -6530219459687219/1125899906842624) (/.f64 1 (*.f64 x n)) (if (<=.f64 n 75278419573747/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -6530219459687219/1125899906842624) (/.f64 1 (*.f64 n x)) (if (<=.f64 n 75278419573747/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 0 n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -12500) (/.f64 1 (.f64 x n)) (if (<=.f64 n -2568425733177917/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -12500) (/.f64 1 (.f64 n x)) (if (<=.f64 n -2568425733177917/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (+.f64 (+.f64 1 (/.f64 1 (.f64 n x))) -1) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 x n)

Compiler

Compiled 508 to 360 computations (29.1% saved)

soundness317.0ms (1.6%)

Algorithm

4×	egg-herbie

Rules

1564×	`associate-/r*`
1382×	`associate-*r/`
1092×	`associate-/l*`
1076×	`associate-+l-`
1038×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	780	36029
1	2222	34477
0	488	15302
1	1365	14436
2	5892	14428
0	384	5359
1	981	4933
2	3970	4927
0	163	1982
1	389	1938
2	1875	1938

Stop Event

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

Compiler

Compiled 276 to 189 computations (31.5% saved)

end418.0ms (2.1%)

Compiler: Compiled 480 to 315 computations (34.4% saved)