Details

analyze642.0ms (2.4%)

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)

sample10.3s (37.8%)

Results

2.9s	2798×	body	1024	valid
2.3s	1775×	body	2048	valid
1.8s	1520×	body	1024	invalid
830.0ms	2429×	body	256	valid
753.0ms	1254×	body	512	valid
564.0ms	772×	body	512	invalid
279.0ms	1269×	body	256	invalid
249.0ms	181×	body	1024	infinite
247.0ms	764×	body	256	infinite
164.0ms	240×	body	512	infinite
155.0ms	339×	body	256	unsamplable
4.0ms	3×	body	2048	invalid

Bogosity

preprocess97.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
466×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
424×	`fma-neg_binary64`
331×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	76	38
3	195	38
4	662	38
5	2258	38
6	6793	38
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)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
287×	`*-commutative_binary64`
254×	`distribute-rgt-neg-in_binary64`
242×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	42	19
3	104	19
4	341	19
5	1130	19
6	3419	19
7	6556	19

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)))

eval1.0ms (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

32.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series84.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	n	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
20.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
20.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
6.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`prod-diff_binary64`
465×	`log-prod_binary64`
316×	`pow-prod-down_binary64`
294×	`fma-def_binary64`
293×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	207	32
2	2853	32

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs
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Outputs

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simplify236.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
554×	`times-frac_binary64`
442×	`associate-/l*_binary64`
399×	`associate-+l+_binary64`
307×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2445
1	521	2313
2	1781	2192

Stop Event

1×	node limit

Counts

229 → 231

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

eval126.0ms (0.5%)

Compiler: Compiled 7184 to 4324 computations (39.8% saved)

prune178.0ms (0.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	210	21	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	21	232

Error

0.4b

Counts

232 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	31.8b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
▶	52.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
	28.0b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
	33.3b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
▶	21.3b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	35.9b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
▶	31.8b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	54.9b	(-.f64 (+.f64 1 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (/.f64 x n))) (pow.f64 x (/.f64 1 n)))
	43.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	50.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	32.3b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	43.8b	(/.f64 1 (/.f64 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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 (/.f64 1 n) 3)))))
	43.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	28.7b	(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
▶	38.1b	(+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
	28.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	31.5b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (*.f64 (/.f64 1/24 (pow.f64 n 4)) (pow.f64 (log.f64 x) 4)))))
	28.5b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))))
	43.8b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	31.9b	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
▶	21.3b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))

Compiler

Compiled 1204 to 782 computations (35% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	3.2b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series59.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
10.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite130.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`expm1-log1p-u_binary64`
883×	`log1p-expm1-u_binary64`
864×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	154	19
2	2286	19

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

Outputs

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

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-neg-frac_binary64`
461×	`fma-def_binary64`
457×	`associate-/r*_binary64`
376×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	604
1	174	594
2	459	590
3	1339	563
4	5015	557

Stop Event

1×	node limit

Counts

104 → 101

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	182	8
2	2450	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-/l/_binary64`
500×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
331×	`fma-def_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	882
1	314	872
2	941	748
3	4251	732

Stop Event

1×	node limit

Counts

55 → 59

Calls

Call 1

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

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 15 computations (57.1% saved)

series14.0ms (0.1%)

Counts

3 → 68

Calls

18 calls:

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

rewrite164.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
444×	`prod-diff_binary64`
308×	`pow-prod-down_binary64`
274×	`pow2_binary64`
236×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	212	31
2	2840	31

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
596×	`times-frac_binary64`
482×	`associate-/l*_binary64`
374×	`associate-/r*_binary64`
298×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2488
1	611	2336
2	2067	2214

Stop Event

1×	node limit

Counts

284 → 308

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

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (log.f64 x) 2)
✓	2.2b	(/.f64 (pow.f64 (log1p.f64 x) 2) n)
✓	3.2b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
	3.2b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 100 to 48 computations (52% saved)

series12.0ms (0%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	n	@	0	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
1.0ms	x	@	-inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
1.0ms	x	@	inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
1.0ms	n	@	-inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
1.0ms	n	@	inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
395×	`fma-def_binary64`
311×	`pow2_binary64`
238×	`fma-neg_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	247	32
2	3509	32

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (*.f64 (log1p.f64 x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 2) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (/.f64 (log1p.f64 x) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (pow.f64 (log1p.f64 x) 2) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (/.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (pow.f64 (log1p.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 n (pow.f64 (log1p.f64 x) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))))))

simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
535×	`unsub-neg_binary64`
491×	`associate-+l+_binary64`
462×	`cancel-sign-sub-inv_binary64`
416×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1426
1	356	1362
2	1168	1288
3	4706	1189

Stop Event

1×	node limit

Counts

275 → 269

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n))
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n))))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n)))))
(.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x)))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2)))))) (/.f64 1 (*.f64 n (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 4)))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2)))))))) (/.f64 1 (*.f64 n (pow.f64 x 3))))
(.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))))))
(+.f64 (.f64 11/12 (/.f64 1 (.f64 n (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(/.f64 (pow.f64 x 2) n)
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (.f64 11/12 (/.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (.f64 -5/6 (/.f64 (pow.f64 x 5) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n)
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (.f64 n (pow.f64 x 2))))))) (/.f64 1 (*.f64 n (pow.f64 x 3))))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n)
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)

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

localize168.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.6b	(/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4))
✓	9.8b	(+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
✓	11.0b	(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
✓	15.0b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))

Compiler

Compiled 400 to 234 computations (41.5% saved)

series72.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
6.0ms	x	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))
4.0ms	n	@	inf	(+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
4.0ms	x	@	inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))
4.0ms	n	@	inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))

rewrite167.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
532×	`add-log-exp_binary64`
530×	`log1p-expm1-u_binary64`
530×	`expm1-log1p-u_binary64`
528×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	273
1	1110	273

Stop Event

1×	node limit

Counts

4 → 40

Calls

Call 1

Inputs
(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))
(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
(/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4))

Outputs
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simplify348.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

752×	`cancel-sign-sub-inv_binary64`
670×	`associate-+r+_binary64`
507×	`fma-def_binary64`
437×	`associate-+l+_binary64`
433×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	7857
1	1549	7723
2	6342	7679

Stop Event

1×	node limit

Counts

136 → 163

Calls

Call 1

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

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

eval1.5s (5.3%)

Compiler: Compiled 41025 to 22752 computations (44.5% saved)

prune239.0ms (0.9%)

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	987	40	1027
Fresh	10	6	16
Picked	1	0	1
Done	3	1	4
Total	1001	47	1048

Error

0.1b

Counts

1048 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	21.6b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
	31.8b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	42.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	21.5b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	33.3b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	21.3b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
▶	42.7b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
✓	21.3b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	50.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	42.7b	(/.f64 (neg.f64 (log.f64 x)) n)
	43.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	21.5b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	43.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	59.1b	(-.f64 (+.f64 (/.f64 x n) 1) 1)
	53.2b	(/.f64 (-.f64 (exp.f64 (.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
▶	21.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	42.2b	(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (+.f64 1/3 (/.f64 -1/4 x))))
	31.5b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (*.f64 (/.f64 1/24 (pow.f64 n 4)) (pow.f64 (log.f64 x) 4)))))
	21.3b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	43.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (.f64 2 (/.f64 (log1p.f64 x) n)))))
	21.3b	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	42.2b	(/.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)
	33.1b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	21.3b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	38.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))) (cbrt.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))) (cbrt.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
	42.0b	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
	28.5b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))))
	31.9b	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	60.4b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	21.5b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	43.8b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	43.9b	(/.f64 1 (/.f64 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (.f64 2 (/.f64 (log1p.f64 x) n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 (/.f64 1 n) 3)))))
	21.6b	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
	42.2b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
	42.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	28.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	62.0b	(fma.f64 x (.f64 x (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (/.f64 x n))
	32.3b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	41.7b	(/.f64 (/.f64 1 n) x)
	41.7b	(/.f64 (/.f64 1 x) n)
	42.2b	(/.f64 (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (neg.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/3 x)) (*.f64 x x)) (/.f64 -1 x)))) n)
	42.0b	(+.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (-.f64 (fma.f64 -1/4 (/.f64 (log.f64 x) (.f64 (.f64 n n) (pow.f64 x 4))) (/.f64 11/24 (.f64 (.f64 n n) (pow.f64 x 4)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1 x)) n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))))
	35.7b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n)))
	41.9b	(/.f64 1 (*.f64 n x))
	38.2b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
▶	61.1b	(/.f64 x n)
	21.4b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))

Compiler

Compiled 2037 to 1356 computations (33.4% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	3.3b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series28.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
5.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
1.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
1.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 x 1) x))
1.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
894×	`add-log-exp_binary64`
894×	`log1p-expm1-u_binary64`
894×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	172	26
2	2386	26

Stop Event

1×	node limit

Counts

3 → 93

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

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-neg-frac_binary64`
459×	`associate-/r*_binary64`
458×	`fma-def_binary64`
376×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	685
1	173	663
2	460	659
3	1338	632
4	5019	626

Stop Event

1×	node limit

Counts

141 → 128

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))

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

localize7.0ms (0%)

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite140.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
358×	`fma-def_binary64`
346×	`exp-prod_binary64`
344×	`pow-prod-down_binary64`
235×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	163	15
2	2695	15

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-neg_binary64`
473×	`distribute-rgt-in_binary64`
462×	`unsub-neg_binary64`
316×	`div-sub_binary64`
308×	`associate--l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	390
1	88	253
2	184	253
3	400	253
4	839	253
5	2326	253
6	4907	253
7	6700	253
8	7867	253

Stop Event

1×	node limit

Counts

247 → 226

Calls

Call 1

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

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

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (pow.f64 x 2))
✓	0.5b	(/.f64 1 (pow.f64 x 3))
✓	2.0b	(/.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)
✓	21.3b	(-.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)))))

Compiler

Compiled 141 to 116 computations (17.7% saved)

series13.0ms (0%)

Counts

4 → 21

Calls

15 calls:

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

rewrite130.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`log1p-udef_binary64`
264×	`add-sqr-sqrt_binary64`
253×	`pow1_binary64`
252×	`add-log-exp_binary64`
252×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	65
1	565	65
2	7586	65

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

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

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-neg_binary64`
575×	`distribute-neg-frac_binary64`
475×	`associate-/r*_binary64`
405×	`associate-/r/_binary64`
367×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	435
1	136	435
2	331	435
3	889	399
4	3779	384
5	7926	384

Stop Event

1×	node limit

Counts

183 → 186

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 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 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 -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))))))

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 31 computations (52.3% saved)

series85.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
19.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
12.0ms	n	@	inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
12.0ms	x	@	0	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
12.0ms	n	@	-inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)

rewrite117.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
444×	`prod-diff_binary64`
337×	`pow2_binary64`
255×	`fma-def_binary64`
240×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	308	17
2	3544	17

Stop Event

1×	node limit

Counts

1 → 106

Calls

Call 1

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

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 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 -1 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n))))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n))) (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1 (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) 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simplify204.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-r_binary64`
386×	`associate-l_binary64`
381×	`fma-def_binary64`
353×	`times-frac_binary64`
336×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	468	7763
1	1647	7292

Stop Event

1×	node limit

Counts

130 → 146

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (+.f64 (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) 2))))) (pow.f64 x 2)) (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (*.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (+.f64 (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) 2))))) (pow.f64 x 2)) (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (+.f64 1 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 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))))))) (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (+.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (-.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))))) (.f64 2 (/.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) n)))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) 3) (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (.f64 2/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (+.f64 (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) 2))))) (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (*.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 5)) 1/3))))) (pow.f64 x 3)) (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)))))) (exp.f64 (/.f64 (log.f64 x) n)))
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(log.f64 x) 3))))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x)))) 1/3) (pow.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (.f64 2 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)))) 2))))))))) (.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (pow.f64 n 4)))))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (+.f64 (/.f64 2 n) (*.f64 -2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)))))) x)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 1/3 (.f64 x (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (fma.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (+.f64 (/.f64 2 n) (/.f64 (*.f64 -2 (exp.f64 (/.f64 (log.f64 x) n))) n)) (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n)))) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (+.f64 (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) 2))))) (pow.f64 x 2)) (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (*.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x))))) (exp.f64 (/.f64 (log.f64 x) n)))
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(log.f64 x) 3))))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x)))) 1/3) (pow.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (.f64 2 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)))) 2))))))))) (.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (pow.f64 n 4)))))))
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(fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 2 (.f64 (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (fma.f64 -1 (log1p.f64 x) (log.f64 x))) (fma.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))))) (pow.f64 (.f64 3 (.f64 1/2 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2)))) 2))) (.f64 (pow.f64 n 3) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2))) (fma.f64 1/3 (/.f64 (.f64 3 (.f64 1/2 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2)))) (/.f64 (.f64 n n) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2))))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 (.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 (.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (.f64 (.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) -1/6) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) (+.f64 (+.f64 (.f64 (.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 3)) (.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 (.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (.f64 (.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) -1/6) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))) (fma.f64 1/27 (/.f64 (.f64 27 (pow.f64 (.f64 1/2 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2))) 3)) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 5))) (.f64 (.f64 (.f64 3 (.f64 1/2 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2)))) (+.f64 (fma.f64 2 (.f64 (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (fma.f64 -1 (log1p.f64 x) (log.f64 x))) (fma.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))))) (pow.f64 (.f64 3 (.f64 1/2 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2)))) 2)))) 2/3)))) (.f64 (pow.f64 n 4) (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2))) (/.f64 (*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n))))

eval670.0ms (2.5%)

Compiler: Compiled 34956 to 22161 computations (36.6% saved)

prune241.0ms (0.9%)

Pruning

62 alts after pruning (59 fresh and 3 done)

	Pruned	Kept	Total
New	896	36	932
Fresh	18	23	41
Picked	1	0	1
Done	2	3	5
Total	917	62	979

Error

0.1b

Counts

979 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	42.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	59.7b	(-.f64 (/.f64 x n) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3))
▶	31.8b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
▶	41.9b	(/.f64 1 (*.f64 x n))
	21.3b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	21.5b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	42.7b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
✓	21.3b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	28.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	42.8b	(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
	50.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	42.7b	(/.f64 (neg.f64 (log.f64 x)) n)
	43.0b	(-.f64 (/.f64 x n) (.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))))
	42.8b	(fma.f64 (/.f64 1 n) (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n)))
	21.6b	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
	43.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	53.4b	(-.f64 (/.f64 x n) (exp.f64 (log.f64 (/.f64 (log.f64 x) n))))
	21.5b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	59.1b	(-.f64 (+.f64 (/.f64 x n) 1) 1)
	41.0b	(/.f64 (log.f64 1) n)
	51.0b	(.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (.f64 x x)))))
▶	21.1b	(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
	53.2b	(/.f64 (-.f64 (exp.f64 (.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	54.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
	55.5b	(/.f64 (-.f64 (/.f64 n (log.f64 x)) (.f64 (/.f64 n x) 1)) (.f64 (/.f64 n x) (/.f64 n (log.f64 x))))
	31.5b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (*.f64 (/.f64 1/24 (pow.f64 n 4)) (pow.f64 (log.f64 x) 4)))))
	32.3b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	54.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))
	43.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (.f64 2 (/.f64 (log1p.f64 x) n)))))
	42.8b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
	60.4b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	42.2b	(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
	38.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)))) (cbrt.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))) (cbrt.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
	28.5b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))))
	31.9b	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	43.9b	(/.f64 1 (/.f64 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (.f64 2 (/.f64 (log1p.f64 x) n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 (/.f64 1 n) 3)))))
	55.3b	(/.f64 (-.f64 n (.f64 (/.f64 n x) (log.f64 x))) (.f64 (/.f64 n x) n))
	43.1b	(/.f64 (exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (*.f64 x x))))))) n)
	21.2b	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
	33.3b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3) 3) 1/3)
	51.1b	(.f64 (-.f64 (.f64 x n) (*.f64 (log.f64 x) n)) (pow.f64 n -2))
	42.2b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
	43.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	42.1b	(/.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
▶	42.2b	(/.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 (/.f64 1 x) (/.f64 1 x))))) n)
	54.2b	(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	62.0b	(fma.f64 x (.f64 x (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (/.f64 x n))
	46.4b	(.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (.f64 x x)))))) (cbrt.f64 (.f64 n n))) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (.f64 x x)))))) (cbrt.f64 n)))
	41.7b	(/.f64 (/.f64 1 n) x)
	42.2b	(/.f64 (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (neg.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/3 x)) (*.f64 x x)) (/.f64 -1 x)))) n)
	42.0b	(+.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (-.f64 (fma.f64 -1/4 (/.f64 (log.f64 x) (.f64 (.f64 n n) (pow.f64 x 4))) (/.f64 11/24 (.f64 (.f64 n n) (pow.f64 x 4)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1 x)) n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))))
	43.8b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	45.5b	(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 3) 1/3)
	42.2b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
	35.7b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n)))
	38.2b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
	42.2b	(.f64 (/.f64 1 (.f64 x n)) (-.f64 (+.f64 1 (/.f64 1/3 (*.f64 x x))) (/.f64 1/2 x)))
✓	61.1b	(/.f64 x n)
	51.3b	(/.f64 (-.f64 (.f64 x n) (.f64 (log.f64 x) n)) (*.f64 n n))
	52.3b	(.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (.f64 x x))))) (sqrt.f64 n)))
	41.7b	(/.f64 (/.f64 1 x) n)
	53.6b	(-.f64 (/.f64 x n) (pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 2576 to 1727 computations (33% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 1 x))
✓	0.1b	(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
✓	3.3b	(log.f64 (+.f64 1 (/.f64 1 x)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series71.0ms (0.3%)

Counts

3 → 27

Calls

12 calls:

Time	Variable		Point	Expression
53.0ms	n	@	inf	(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
15.0ms	n	@	0	(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
1.0ms	n	@	-inf	(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
0.0ms	x	@	0	(log.f64 (+.f64 1 (/.f64 1 x)))
0.0ms	x	@	-inf	(log.f64 (+.f64 1 (/.f64 1 x)))

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
789×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	170	22
2	2204	22

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

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

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

605×	`distribute-neg-frac_binary64`
458×	`associate-/r*_binary64`
455×	`fma-def_binary64`
376×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	478
1	164	468
2	447	464
3	1325	437
4	4981	431

Stop Event

1×	node limit

Counts

111 → 116

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 1 x)
1
1

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`pow1_binary64`
521×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1416	7

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	13	168

Stop Event

1×

saturated

Counts

47 → 24

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))

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))

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (log.f64 x))
✓	0.2b	(/.f64 n (-.f64 x (log.f64 x)))
✓	0.3b	(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))

Compiler

Compiled 25 to 8 computations (68% saved)

series8.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`pow1_binary64`
897×	`add-log-exp_binary64`
897×	`log1p-expm1-u_binary64`
897×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	174	24
2	2448	24

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs

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

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

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

777×	`times-frac_binary64`
388×	`associate-/l*_binary64`
349×	`associate-/r*_binary64`
287×	`fma-def_binary64`
285×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	647
1	261	625
2	859	578
3	5185	560

Stop Event

1×	node limit

Counts

158 → 142

Calls

Call 1

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

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

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 x) (/.f64 1 x))
	0.5b	(/.f64 1 (pow.f64 x 3))
✓	2.0b	(/.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 (/.f64 1 x) (/.f64 1 x))))) n)
✓	21.3b	(-.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 (/.f64 1 x) (/.f64 1 x)))))

Compiler

Compiled 147 to 118 computations (19.7% saved)

series10.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/.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 (/.f64 1 x) (/.f64 1 x))))) n)
0.0ms	x	@	0	(-.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 (/.f64 1 x) (/.f64 1 x)))))
0.0ms	n	@	0	(/.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 (/.f64 1 x) (/.f64 1 x))))) n)
0.0ms	x	@	0	(/.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 (/.f64 1 x) (/.f64 1 x))))) n)
0.0ms	n	@	inf	(/.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 (/.f64 1 x) (/.f64 1 x))))) n)

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

391×	`log1p-udef_binary64`
247×	`add-sqr-sqrt_binary64`
237×	`pow1_binary64`
236×	`add-log-exp_binary64`
236×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	521	61
2	7333	61

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

937×	`fma-neg_binary64`
568×	`distribute-neg-frac_binary64`
469×	`associate-/r*_binary64`
407×	`associate-/r/_binary64`
263×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	1128
1	146	1128
2	364	1128
3	958	1020
4	4034	966

Stop Event

1×	node limit

Counts

182 → 162

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 28 computations (54.8% saved)

series89.0ms (0.3%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
16.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
13.0ms	n	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
12.0ms	n	@	inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
444×	`prod-diff_binary64`
314×	`pow2_binary64`
262×	`fma-def_binary64`
232×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	278	17
2	3304	17

Stop Event

1×	node limit

Counts

1 → 120

Calls

Call 1

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

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

465×	`associate-r_binary64`
463×	`associate-l_binary64`
462×	`fma-def_binary64`
349×	`fma-neg_binary64`
273×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1599
1	342	1508
2	1175	1407
3	6354	1345

Stop Event

1×	node limit

Counts

128 → 130

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))) (.f64 2/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9)))) x))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))) (.f64 2/3 (.f64 (/.f64 1 n) (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9)))) x)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 5)) 1/9) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))) n))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))))))) (+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9)))) n) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/9))) (+.f64 (.f64 2/9 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))) n) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 5)) 1/9))) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 5)) 1/9) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))) n))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 8)) 1/9) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))) n)))) (pow.f64 (.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))) (.f64 2/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9)))) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))

Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))) (.f64 2/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9)))) x))
(+.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x (.f64 (.f64 (/.f64 1 n) (.f64 (pow.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/18))) 1)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/18)) n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 x (/.f64 (pow.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/18) (/.f64 n (pow.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/18))) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(fma.f64 x (/.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4) 1/18) (/.f64 n (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4) 1/18))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 n)))))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 n) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9))) (.f64 2/3 (.f64 (/.f64 1 n) (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 1/9)))) x)))
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(fma.f64 (fma.f64 1/3 (+.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 n 3)) (-.f64 1/6 (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2)))))) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 5)) 1/18)) (/.f64 (+.f64 (/.f64 (-.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18)))) (.f64 n n)) (/.f64 -1/2 n)) n)) (/.f64 1/2 (.f64 n n)))) (+.f64 (/.f64 1/3 n) (.f64 (/.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4)) 1/18) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4)) 1/18) (.f64 n n))) (.f64 (cbrt.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))) (.f64 2/3 (+.f64 (/.f64 (-.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18)))) (.f64 n n)) (/.f64 -1/2 n))))) n) (.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2)) 1/18))))) (fma.f64 (cbrt.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (.f64 (/.f64 1 (pow.f64 n 3)) (-.f64 1/6 (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2)))))) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 5)) 1/18)) (/.f64 (+.f64 (/.f64 (-.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18)))) (.f64 n n)) (/.f64 -1/2 n)) n)) (/.f64 1/2 (.f64 n n))))) (.f64 2/3 (cbrt.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 8)) 1/18)) (.f64 2/9 (+.f64 (/.f64 (-.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18)))) (.f64 n n)) (/.f64 -1/2 n)))) n)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 5)) 1/18)) (.f64 2/9 (/.f64 (+.f64 (/.f64 (-.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18)))) (.f64 n n)) (/.f64 -1/2 n)) n))))) (pow.f64 x 3) (fma.f64 x (.f64 x (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (/.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (.f64 n n))) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4)) 1/18)) (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) (/.f64 1/9 (.f64 n n)))) (.f64 (+.f64 (/.f64 (-.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) 1/18)))) (.f64 n n)) (/.f64 -1/2 n)) (+.f64 1/3 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))))))))) (fma.f64 x (/.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4) 1/18) (/.f64 n (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 4) 1/18))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))

eval1.3s (5%)

Compiler: Compiled 23048 to 14366 computations (37.7% saved)

prune154.0ms (0.6%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	830	21	851
Fresh	34	20	54
Picked	1	0	1
Done	4	3	7
Total	869	44	913

Error

0.0b

Counts

913 → 44

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.7b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	28.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	34.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	50.3b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	54.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
	42.7b	(/.f64 (neg.f64 (log.f64 x)) n)
	42.8b	(fma.f64 (/.f64 1 n) (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n)))
	43.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	59.1b	(-.f64 (+.f64 (/.f64 x n) 1) 1)
	47.9b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	48.2b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	47.8b	(.f64 (/.f64 1 (.f64 (.f64 x x) n)) (-.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/4 (.f64 x x)) 1/2)))
	43.9b	(pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 3)
	42.7b	(/.f64 1 (/.f64 (neg.f64 n) (log.f64 x)))
	42.0b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
	22.9b	(/.f64 (exp.f64 (log.f64 (log1p.f64 (/.f64 1 x)))) n)
	53.2b	(/.f64 (-.f64 (exp.f64 (.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	22.1b	(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) n)
	60.4b	(expm1.f64 (/.f64 (log1p.f64 x) n))
	41.0b	(/.f64 (log.f64 1) n)
	51.1b	(.f64 (-.f64 (.f64 x n) (*.f64 (log.f64 x) n)) (pow.f64 n -2))
	42.2b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
	42.1b	(/.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
	62.0b	(fma.f64 x (.f64 x (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (/.f64 x n))
	38.2b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 3)
	22.0b	(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) n)
	21.9b	(*.f64 (/.f64 1 n) (log1p.f64 (/.f64 1 x)))
	46.4b	(.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (.f64 x x)))))) (cbrt.f64 (.f64 n n))) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (.f64 x x)))))) (cbrt.f64 n)))
	41.7b	(/.f64 (/.f64 1 n) x)
	42.0b	(+.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (-.f64 (fma.f64 -1/4 (/.f64 (log.f64 x) (.f64 (.f64 n n) (pow.f64 x 4))) (/.f64 11/24 (.f64 (.f64 n n) (pow.f64 x 4)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1 x)) n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))))
	41.7b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	42.2b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
	42.8b	(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))
	42.2b	(.f64 (/.f64 1 (.f64 x n)) (-.f64 (+.f64 1 (/.f64 1/3 (*.f64 x x))) (/.f64 1/2 x)))
	29.0b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) 3)
	38.2b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	61.1b	(/.f64 x n)
	61.1b	(/.f64 1 (/.f64 n x))
	52.8b	(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
	41.7b	(/.f64 (/.f64 1 x) n)
✓	41.9b	(/.f64 1 (*.f64 x n))
	21.9b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	55.3b	(/.f64 (-.f64 n (.f64 (/.f64 n x) (log.f64 x))) (.f64 (/.f64 n x) n))
	51.3b	(/.f64 (-.f64 (.f64 x n) (.f64 (log.f64 x) n)) (*.f64 n n))

Compiler

Compiled 629 to 435 computations (30.8% saved)

regimes1.1s (4%)

Counts

119 → 2

Calls

Call 1

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

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

5 calls:

388.0ms	(/.f64 1 n)
322.0ms	n
166.0ms	(/.f64 1 n)
120.0ms	x
42.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.8b	2	`x`
2.0b	3	`n`
12.6b	3	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
2.0b	3	`(/.f64 1 n)`
2.0b	3	`(/.f64 1 n)`

Compiler

Compiled 2065 to 1074 computations (48% saved)

bsearch94.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
93.0ms	0.0027551099107098243	2.0157852957420497

Compiler

Compiled 104 to 75 computations (27.9% saved)

regimes820.0ms (3%)

Counts

50 → 4

Calls

Call 1

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

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

Calls

4 calls:

308.0ms	n
182.0ms	x
150.0ms	(/.f64 1 n)
128.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
8.8b	3	`x`
2.4b	5	`n`
2.4b	4	`(/.f64 1 n)`
2.4b	4	`(/.f64 1 n)`

Compiler

Compiled 493 to 291 computations (41% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.018962508473195923	0.6075131892873671
0.0ms	-2.4196117098580494e-7	-7.721741610686777e-8
0.0ms	-117953441.62449227	-0.29122374764112186

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes589.0ms (2.2%)

Counts

42 → 3

Calls

Call 1

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

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

Calls

4 calls:

172.0ms	(/.f64 1 n)
163.0ms	n
138.0ms	(/.f64 1 n)
92.0ms	x

Results

Error	Segments	Branch
15.8b	3	`x`
3.4b	4	`n`
3.4b	3	`(/.f64 1 n)`
3.4b	3	`(/.f64 1 n)`

Compiler

Compiled 438 to 268 computations (38.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.018962508473195923	0.6075131892873671
0.0ms	-117953441.62449227	-0.29122374764112186

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes358.0ms (1.3%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

4 calls:

112.0ms	(/.f64 1 n)
96.0ms	n
86.0ms	(/.f64 1 n)
48.0ms	x

Results

Error	Segments	Branch
15.8b	3	`x`
3.4b	4	`n`
3.4b	3	`(/.f64 1 n)`
3.4b	3	`(/.f64 1 n)`

Compiler

Compiled 297 to 185 computations (37.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.018962508473195923	0.6075131892873671
0.0ms	-117953441.62449227	-0.29122374764112186

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes220.0ms (0.8%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	n
77.0ms	x
27.0ms	(/.f64 1 n)
25.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
15.5b	4	`x`
10.3b	3	`n`
10.3b	2	`(/.f64 1 n)`
10.3b	2	`(/.f64 1 n)`

Compiler

Compiled 233 to 148 computations (36.5% saved)

bsearch224.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	-4.209491909262922e-302	4.63383416969868e-225
70.0ms	-3.4337859055103936	-8.477921341062053e-9

Compiler

Compiled 276 to 223 computations (19.2% saved)

regimes442.0ms (1.6%)

Counts

22 → 5

Calls

Call 1

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

Calls

4 calls:

132.0ms	x
128.0ms	(/.f64 1 n)
113.0ms	(/.f64 1 n)
62.0ms	n

Results

Error	Segments	Branch
16.0b	5	`x`
25.9b	6	`n`
24.4b	7	`(/.f64 1 n)`
24.4b	7	`(/.f64 1 n)`

Compiler

Compiled 214 to 138 computations (35.5% saved)

bsearch2.0s (7.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
875.0ms	4.602018749692144e+145	9.935746342562395e+151
174.0ms	2.187441740951382e+59	2.4140860827265765e+59
677.0ms	683180138525823700.0	1.9047184647870145e+22
310.0ms	0.0027551099107098243	2.0157852957420497

Compiler

Compiled 610 to 471 computations (22.8% saved)

regimes198.0ms (0.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	x
61.0ms	n
32.0ms	(/.f64 1 n)
23.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
35.3b	4	`x`
30.0b	3	`n`
30.1b	2	`(/.f64 1 n)`
30.1b	2	`(/.f64 1 n)`

Compiler

Compiled 209 to 135 computations (35.4% saved)

bsearch123.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	4.2073388209766827e-57	1.7494613380524796e-56
67.0ms	-3.4337859055103936	-8.477921341062053e-9

Compiler

Compiled 155 to 123 computations (20.6% saved)

regimes215.0ms (0.8%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

65.0ms	x
63.0ms	(/.f64 1 n)
57.0ms	n
24.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
36.9b	2	`x`
35.7b	3	`n`
35.7b	2	`(/.f64 1 n)`
35.7b	2	`(/.f64 1 n)`

Compiler

Compiled 201 to 129 computations (35.8% saved)

bsearch213.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	-4.209491909262922e-302	4.63383416969868e-225
144.0ms	-3.4337859055103936	-8.477921341062053e-9

Compiler

Compiled 410 to 288 computations (29.8% saved)

regimes241.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	(/.f64 1 n)
62.0ms	n
51.0ms	x
35.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
39.3b	2	`x`
37.2b	3	`n`
37.2b	2	`(/.f64 1 n)`
37.2b	2	`(/.f64 1 n)`

Compiler

Compiled 163 to 107 computations (34.4% saved)

bsearch19.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	-1.7741435447944975e-267	-1.2914887030186318e-270
10.0ms	-3.4337859055103936	-8.477921341062053e-9

Compiler

Compiled 60 to 47 computations (21.7% saved)

regimes73.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(/.f64 1 n)
13.0ms	x
7.0ms	(/.f64 1 n)
7.0ms	n

Results

Error	Segments	Branch
41.7b	1	`x`
41.7b	1	`n`
41.7b	1	`(/.f64 1 n)`
41.7b	1	`(/.f64 1 n)`

Compiler

Compiled 70 to 45 computations (35.7% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 x n)

Calls

2 calls:

3.0ms	n
3.0ms	x

Results

Error	Segments	Branch
61.1b	1	`x`
61.1b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
11×	`*-commutative_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	424
1	115	424
2	138	424
3	154	424
4	160	424
5	161	424

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -2577223733081079/9007199254740992) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 0) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 6456360425798343/2305843009213693952) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 19000000000000002097152) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (if (<=.f64 x 219999999999999996001408228886083556023431749670425897992192) (/.f64 (log.f64 1) n) (if (<=.f64 x 97999999999999998485307787046666155150827665318973508899754831738760841136705600721996874381088634555440327262967031313556829971591512553694171418853376) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 n -2577223733081079/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 7509100025308133/1766847064778384329583297500742918515827483896875618958121606201292619776) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -2206763817411543/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 0) (.f64 (/.f64 1 (.f64 (.f64 x x) n)) (-.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/4 (.f64 x x)) 1/2))) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -1) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -7435084542388915/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n)))
(/.f64 (/.f64 1 x) n)
(/.f64 x n)

Outputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) -944473296573929/4722366482869645213696) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -2577223733081079/9007199254740992) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 0) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 n -2577223733081079/9007199254740992) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 0) (/.f64 0 n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 6456360425798343/2305843009213693952) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 19000000000000002097152) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (if (<=.f64 x 219999999999999996001408228886083556023431749670425897992192) (/.f64 (log.f64 1) n) (if (<=.f64 x 97999999999999998485307787046666155150827665318973508899754831738760841136705600721996874381088634555440327262967031313556829971591512553694171418853376) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 6456360425798343/2305843009213693952) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 19000000000000002097152) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 1/2 x))) (if (<=.f64 x 219999999999999996001408228886083556023431749670425897992192) (/.f64 0 n) (if (<=.f64 x 97999999999999998485307787046666155150827665318973508899754831738760841136705600721996874381088634555440327262967031313556829971591512553694171418853376) (/.f64 (/.f64 1 x) n) (/.f64 0 n)))))
(if (<=.f64 x 6456360425798343/2305843009213693952) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 19000000000000002097152) (.f64 (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 x))) (if (<=.f64 x 219999999999999996001408228886083556023431749670425897992192) (/.f64 0 n) (if (<=.f64 x 97999999999999998485307787046666155150827665318973508899754831738760841136705600721996874381088634555440327262967031313556829971591512553694171418853376) (/.f64 (/.f64 1 x) n) (/.f64 0 n)))))
(if (<=.f64 n -2577223733081079/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 7509100025308133/1766847064778384329583297500742918515827483896875618958121606201292619776) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -2577223733081079/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 7509100025308133/1766847064778384329583297500742918515827483896875618958121606201292619776) (/.f64 0 n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -2206763817411543/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 0) (.f64 (/.f64 1 (.f64 (.f64 x x) n)) (-.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/4 (.f64 x x)) 1/2))) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -2206763817411543/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 0) (.f64 (/.f64 1 (.f64 n (.f64 x x))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (.f64 x x))))) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -2206763817411543/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 0) (.f64 (/.f64 1 (.f64 n (.f64 x x))) (+.f64 (/.f64 1/3 x) (-.f64 -1/2 (/.f64 1/4 (.f64 x x))))) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -1) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -7435084542388915/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -1) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -7435084542388915/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) -1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -1) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -7435084542388915/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 x n)))) (/.f64 (/.f64 1 x) n)))
(/.f64 (/.f64 1 x) n)
(/.f64 x n)

Compiler

Compiled 310 to 219 computations (29.4% saved)

soundness198.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

501×	`associate-r_binary64`
465×	`associate-r_binary64`
463×	`associate-l_binary64`
462×	`fma-def_binary64`
386×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1599
1	342	1508
2	1175	1407
3	6354	1345
0	468	7763
1	1647	7292

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 205 to 155 computations (24.4% saved)

end238.0ms (0.9%)

Compiler: Compiled 290 to 190 computations (34.5% saved)